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cutting or gluing. A famous example, known as the "Topologist's Breakfast", is that a topologist cannot distinguish a coffee mug from a doughnut. A pliable...

In the branch of mathematics known as topology, the topologist's sine curve or Warsaw sine curve is a topological space with several interesting properties...

mathematician, who received the Fields Medal in 1958. He made his reputation as a topologist, moving on to aspects of what would be called singularity theory; he became...

space has properties that serve as a number of counterexamples. The topologist's sine curve has similar properties to the comb space. The deleted comb...

In mathematics, low-dimensional topology is the branch of topology that studies manifolds, or more generally topological spaces, of four or fewer dimensions...

professor of Mathematics at Moscow State University. He is well-known as a topologist and member of the Russian Academy of Sciences. He is a painter and illustrator...

supervisorial relationship between Dutch topologist Johannes De Groot and his namesake, also a Dutch topologist descended from the senior De Groot via four...

Massey product was created by William S. Massey, an American algebraic topologist. Let a , b , c {\displaystyle a,b,c} be elements of the cohomology algebra...

mathematics by topologists Lynn Steen and J. Arthur Seebach, Jr. In the process of working on problems like the metrization problem, topologists (including...

American topologist and mathematician (1908–1967)...

Sucharit Sarkar (born 1983) is an Indian topologist and professor of mathematics at the University of California, Los Angeles who works in low-dimensional...

space is knotted infinitely many times. Alexander's discovery forced topologists to distinguish between tame embeddings and wild embeddings. This distinction...

specialist in quantum computing Beatrice Aitchison (1908–1997), American topologist who became a transportation economist in the US civil service Noreen Sher...

descent extends the intuitive idea of 'gluing' in topology. Since the topologists' glue is the use of equivalence relations on topological spaces, the...

Clifford Hugh Dowker (/ˈdaʊkər/; March 2, 1912 – October 14, 1982) was a topologist known for his work in general topology and also for his contributions...

manifolds should be called "irreducible"; however, the topologist (in particular the 3-manifold topologist) finds the definition above more useful. The only...

included Samuel Eilenberg, the cofounder of category theory, and the topologist Norman Steenrod. After his 1967 retirement from Michigan at the rather...

brothers also became notable mathematicians, William Browder (an algebraic topologist) and Andrew Browder (a specialist in function algebras). Felix Earl Browder...

The theorem was developed by topologists Samuel Eilenberg and Saunders MacLane. They discovered that, when topologists were writing proofs to establish...

not be confused with Alexandrov-discrete spaces named after the Russian topologist Pavel Alexandrov. They were studied in detail by Burago, Gromov and Perelman...

1914 – 11 September 1972) was a Dutch mathematician, the leading Dutch topologist for more than two decades following World War II. De Groot was born at...

Jay Daverman (September 28, 1941 – February 9, 2026) was an American topologist. Daverman was born in Grand Rapids, Michigan, on September 28, 1941. He...

Shanghai, China – 12 March 2018) was a French mathematician, specifically a topologist. Morin lost his sight at the age of six due to glaucoma, but his blindness...

topological invariance of degree, which is the best known among algebraic topologists. The third theorem is perhaps the hardest. Brouwer also proved the simplicial...

indecomposable continuum. Indecomposable continua have been used by topologists as a source of counterexamples. They also occur in dynamical systems...

scientist Computational scientist Data scientist Mathematician Algebraist Analyst Geometer Logician Probabilist Statistician Topologist Systems scientist...

Shmuel Aaron Weinberger (born February 20, 1963) is an American topologist. He enrolled in a specially designed concurrent BA-PhD program at New York University...

spaces are so named because they were first extensively studied by Polish topologists and logicians—Sierpiński, Kuratowski, Tarski and others. However, Polish...

both sets both open and closed, and therefore clopen. As described by topologist James Munkres, unlike a door, "a set can be open, or closed, or both,...

a connected space, then X {\displaystyle X} is itself connected. The topologist's sine curve is an example of a set that is connected but is neither path...

1880 – August 10, 1960) was an American mathematician, geometer and topologist, whose work found application in atomic physics and the theory of relativity...

technical difficulties in using homotopies with certain spaces. Algebraic topologists work with compactly generated spaces, CW complexes, or spectra. Formally...

and at −∞ and +∞. sin ⁡ 1 x {\displaystyle \sin {\frac {1}{x}}} (the topologist's sine curve) has oscillation 2 at x {\displaystyle x} = 0, and 0 elsewhere...

to another and was known to James Clerk Maxwell, who attributed it to topologist J. B. Listing. Tendril perversion can be viewed as an example of spontaneous...

Sierpiński space Sorgenfrey line Sorgenfrey plane Space-filling curve Topologist's sine curve Trivial topology Unit interval Zariski topology Counterexamples...

Weeks (born December 10, 1956) is an American mathematician, a geometric topologist and cosmologist. Weeks is a 1999 MacArthur Fellow. Weeks received his...

mathematics courses. It is named after Robert Lee Moore, an American topologist. Moore first used a thorough-going version of the method at the University...

some circle bundles. They were discovered and classified by the German topologist Friedhelm Waldhausen in 1967. This definition allows a very convenient...

at the Centre national de la recherche scientifique in 1976. He is a topologist who works on manifolds and who co-discovered the Kirby–Siebenmann class...

American mathematician topologist...

geometers Category:Differential geometers Category:Geometers Category:Topologists List of formulas in elementary geometry List of geometry topics List...

point. This definition is occasionally referred to as the "geometric topologist's locally contractible," though is the most common usage of the term. In...

Breslau by the Nazis. In 1933, when Hitler came to power, the following topologists held positions in German universities: Max Dehn, Herbert Seifert, Hans...

their money out of the market just before the Crash of 1929.) The eminent topologist Oswald Veblen at Princeton University, who had long been trying to found...

Jules Henri Poincaré (UK: /ˈpwæ̃kɑːreɪ/, US: /ˌpwæ̃kɑːˈreɪ/; French: [ɑ̃ʁi pwɛ̃kaʁe] ; 29 April 1854 – 17 July 1912) was a French mathematician, theoretical...

covering" in the algebraic group theory sense, which is not always the topologists' meaning. Weil (1959) calculated the Tamagawa number in many cases of...

he spoke to the Canadian Mathematical Society in a talk he called "A topologist marvels at Physics". He is also well known in connection with the Borel–Bott–Weil...

resources to reevaluate and replace its medieval Islamicists and algebraic topologists every year. Tenure thus lets the academic community avoid excessive turnover...

in 1949. During this time he met Solomon Lefschetz, a famous algebraic topologist who was spending prolonged periods of time in Mexico. Lefschetz recognized...

The naming of the conjecture is for David Hilbert, and the American topologist Paul A. Smith. It is considered by some to be a better formulation of...

Robert Lee Moore (November 14, 1882 – October 4, 1974) was an American mathematician who taught for many years at the University of Texas. He is known...

among the constructivists were the intuitionists, led by the erstwhile topologist L. E. J. Brouwer (Dawson p. 49) The rancorous debate continued through...

and geometry of the whole surface," according to University of Chicago topologist Benson Farb. Mirzakhani's 2004 PhD thesis solved this problem, showing...

It is one-dimensional, arcwise connected, and locally connected. The topologist's sine curve is a subset of the plane that is the union of the graph of...

Hsiang (Chinese: 項武忠; born 12 June 1935) is a Taiwanese mathematician and topologist. He was highly influential in the field of differential topology as a...

1887) September 23 James Waddell Alexander II, American mathematician and topologist (b. 1888) Billy Gilbert, American actor (b. 1894) September 25 – Hugo...

by Lurie, On Infinity Topoi, uploaded to the arXiv in 2003. Algebraic topologist Peter May was critical of this preprint, emailing Lurie's then-advisor...

topological spaces. Alexandrov-discrete spaces are named after the Russian topologist Pavel Alexandrov. They should not be confused with Alexandrov spaces from...

Grothendieck topos (see History of topos theory). He worked with the algebraic topologist Myles Tierney to clarify and apply this theory. Tierney discovered major...

later, she met with Cameron Gordon, a professor at UT Austin (a senior topologist), and casually mentioned her solution. Reflecting on the nature of her...

sphere and a donut are not. An often-repeated mathematical joke is that topologists cannot tell their coffee cup from their donut, since a sufficiently pliable...

late 1942, moved to Research Section to work on Fish, later in Testery (topologist) Harry Hinsley (historian) James Hogarth, worked on German naval cyphers...

insisted that generic points should be unique. (This can be put back into topologists' terms: Weil's idea fails to give a Kolmogorov space and Zariski thinks...

Israeli female former volleyball player Joan Birman (born 1927), American topologist, specializing in braids and knot theory Joel Birman, Brazilian psychiatrist...

Max Karoubi (French: [kaʁubi]) is a French mathematician, topologist, who works on K-theory, cyclic homology and noncommutative geometry and who founded...

inherently global view, though, because there is no way for the differential topologist to tell whether the two objects are the same (in this sense) by looking...

vein of research in the first half of the twentieth century, in which topologists studied the implications between increasingly subtle and complex variations...

academic publishing organisation. It was founded in 1997 by a group of topologists who were dissatisfied with recent substantial rises in subscription prices...

Ballad of Sir Patrick Spens" by Arthur T. Quiller-Couch "The Unfortunate Topologist" by Cyril Kornbluth "There Once Was a Breathy Baboon" by Sir Arthur Eddington...

John Denis Martin Nunn (born 25 April 1955) is an English chess grandmaster, a three-time world champion in chess problem solving, a chess writer and publisher...

Morgan's view, it was only with Thurston's systematic viewpoint that most topologists came to believe that the Poincaré conjecture would be true. At the same...

2010- Suzanne Conklin Akbari medievalist 2019 current James W. Alexander topologist 1933 1951 Andreas E. Z. Alföldi historian and archaeologist 1956 1965...

mathematician known for Kakutani fixed-point theorem Jun-iti Nagata, topologist Masatoshi Gündüz Ikeda, Turkish mathematician of Japanese ancestry Hiroshi...

false in a number of instances, due to the work of many distinguished topologists, including the Fields Medal awardees John Milnor, Steve Smale, Michael...

1946), Thai-German microbiologist Sucharit Sarkar (born 1983), Indian topologist and associate professor of mathematics Sucharit Suda (1895–1982), Thai...

typically refers to the original, middle-thirds Cantor set described above, topologists often talk about "a" Cantor set, which means any topological space that...

Conference was held in Moscow, 4–10 September, 1935. With presentations by topologists from 10 different countries it constituted the first genuinely international...

Bronisław Knaster (22 May 1893 – 3 November 1980) was a Polish mathematician; from 1939 a university professor in Lwów and from 1945 in Wrocław. In 1945...

Mahan Maharaj (born Mahan Mitra (Bengali: মহান মিত্র), 5 April 1968), also known as Mahan Mj and Swami Vidyanathananda, is an Indian mathematician and...

Vladimir Igorevich Arnold (or Arnol'd; Russian: Влади́мир И́горевич Арно́льд, IPA: [vlɐˈdʲimʲɪr ˈiɡərʲɪvʲɪtɕ ɐrˈnolʲt]; 12 June 1937 – 3 June 2010) was...

(mathematics) Sorgenfrey plane Stein's example Three cards and a top hat Topologist's sine curve Tsirelson space Tutte eight cage Weierstrass function Wilkinson's...

Fried Worms) February 9 Alex Caldiero, 76, poet Robert Daverman, 84, topologist William Flatt, 94, animal and nutritional scientist Chris Gilbert, 79...

classes in abstract algebra and algebraic geometry. She worked with the topologists Lev Pontryagin and Nikolai Chebotaryov, who later praised her contributions...

director (b. 1886) Oswald Veblen, American mathematician, geometer and topologist (b. 1880) August 14 – Fred Clarke, American baseball player (Pittsburgh...

Dana Stewart Scott (born October 11, 1932) is an American logician who is the Hillman University Professor emeritus of Computer Science, Philosophy, and...

physicist Bernard Morin (1931–2018), French mathematician, especially a topologist Edgar Morin (also Edgar Nahoum; 1921–2026), French philosopher and sociobiologist...

lifelong partner, with whom he shared a home starting in 1929, was the topologist Pavel Alexandrov. Szpiro, George (2011). Pricing the Future: Finance,...

Johann Benedict Listing (25 July 1808 – 24 December 1882) was a German mathematician and physicist. He is remembered as a pioneer of topology, which also...

Daniel Kálmán Biss (born August 27, 1977) is an American mathematician and politician serving as mayor of Evanston, Illinois. He is a former member of...

Graciela Chichilnisky (born March 27, 1946) is an Argentine-American economist known for her work in economics and climate change. A professor of economics...

George David Birkhoff (March 21, 1884 – November 12, 1944) was an American mathematician. He is considered one of the top American mathematicians of his...

missing in order to investigate the incident. The firm then sends a young topologist Daniel Pratt, rather than an experienced engineer, which displeases the...

of 80. Morava K-theory "Mathematician Jack Morava, renowned algebraic topologist, dies at 80". The Hub at Johns Hopkins. August 8, 2025. Jack Morava at...

credited for developing what came to be known as The New Math. Begle was a topologist and a researcher in mathematics education who served as a member of the...

mathematician & Data scientist Sucharit Sarkar (b. 1983), mathematician and topologist Sourav Chatterjee (b. 1979), statistician, mathematician and professor...

May 7, 1975 Erlangen) was a German mathematician and renowned algebraic topologist best known for his contribution to what is now known as the Künneth theorem...

Ruth Elke Lawrence-Neimark (Hebrew: רות אלקה לורנס-נאימרק; born 2 August 1971) is a British-Israeli mathematician and a professor of mathematics at the...

Vladimir Alexandrovich Voevodsky (/vɔɪɛˈvɒdski/, Russian: Влади́мир Алекса́ндрович Воево́дский; 4 June 1966 – 30 September 2017) was a Russian-American...

Sir Michael Francis Atiyah (/əˈtiːə/; 22 April 1929 – 11 January 2019) was a British-Lebanese mathematician specialising in geometry. His contributions...

example of a Darboux function that is discontinuous at one point is the topologist's sine curve function: x ↦ { sin ⁡ ( 1 / x ) for  x ≠ 0 , 0 for  x = 0...

Vladimir Abramovich Rokhlin (Russian: Владимир Абрамович Рохлин; 23 August 1919 – 3 December 1984) was a Soviet mathematician, who made numerous contributions...

John Willard Milnor (born February 20, 1931) is an American mathematician known for his work in differential topology, algebraic K-theory and low-dimensional...

Albert William Tucker (28 November 1905 – 25 January 1995) was a Canadian mathematician who made important contributions in topology, game theory, and...

mathematics from Brown University in 1953. He is also the nephew of noted topologist José Adem (see Adem relations), who obtained a Ph.D. in mathematics from...

Austrian topologist...

Barry Charles Mazur (/ˈmeɪzər/; born December 19, 1937) is an American mathematician and the Gerhard Gade University Professor at Harvard University. His...

Professor Roger Tupelo of Harvard to attempt an explanation. Though not a topologist himself, he believes that the new shuttle connection caused the topological...

Fernando Codá dos Santos Cavalcanti Marques (born in 1979) is a Brazilian mathematician working mainly in geometry, topology, partial differential equations...

and still exists. Otto Frisch remembered Ulam as "a brilliant Polish topologist with a charming French wife. At once he told me that he was a pure mathematician...

Lê Dũng Tráng (27 July 1947 – 19 November 2025) was a Vietnamese-French mathematician. At the end of 1949, Tráng came to France. He attended the Lycée...

Friedhelm Waldhausen (born 1938 in Millich, Hückelhoven, Rhine Province, died November 21, 2024) was a German mathematician known for his work in algebraic...

situations ... where there is a net flux of lines of force, through what topologists would call "a handle" of the multiply-connected space, and what physicists...

Cahit Arf (Turkish: [dʒaːhit aɾf]; 24 October 1910 – 26 December 1997) was a Turkish mathematician. He is known for the Arf invariant of a quadratic form...

William Paul Thurston (October 30, 1946 – August 21, 2012) was an American mathematician. He was a pioneer in the field of low-dimensional topology and...

the department has made some influential appointments including the topologist Viktor Buchstaber and model theorist Alex Wilkie. Numerical analyst Jack...

Vijay Kumar Patodi (12 March 1945 – 21 December 1976) was an Indian mathematician who made fundamental contributions to differential geometry and topology...

software designed to help mathematicians, in particular low-dimensional topologists, study hyperbolic 3-manifolds. The primary developer is Jeffrey Weeks...

Lev Semyonovich Pontryagin (Russian: Лев Семёнович Понтрягин, also written Pontriagin or Pontrjagin, first name sometimes anglicized as Leon) (3 September...

Powell, geologist and explorer Oswald Veblen, mathematician, geometer, topologist E. B. White, author of Charlotte's Web, The Trumpet of the Swan, and Stuart...

 12 Lavington (1998), pp. 8, 12 Anderson, David (2007). "Max Newman: Topologist, codebreaker, and pioneer of computing". IEEE Annals of the History of...

Heinz Hopf (19 November 1894 – 3 June 1971) was a German mathematician who worked on the fields of dynamical systems, topology and geometry. Hopf was born...

Regina is a suite of mathematical software for 3-manifold topologists. It focuses upon the study of 3-manifold triangulations and includes support for...

Eric Mark Friedlander (born January 7, 1944) is an American mathematician who is a professor of mathematics at University of Southern California. He is...

Henri Paul Cartan (French: [kaʁtɑ̃]; 8 July 1904 – 13 August 2008) was a French mathematician who made substantial contributions to algebraic topology...

Georges de Rham (French: [dəʁam]; 10 September 1903 – 9 October 1990) was a Swiss mathematician, known for his contributions to differential topology....

Jean-Pierre Serre (French: [sɛʁ]; born 15 September 1926) is a French mathematician who has made contributions to algebraic topology, algebraic geometry...

\alpha _{n}/\beta _{n}} These knots and links are named after the Spanish topologist José María Montesinos Amilibia, who first introduced them in 1973. (−2...

Michael David Spivak (May 25, 1940 – October 1, 2020) was an American mathematician specializing in differential geometry, an expositor of mathematics...

Martin George Scharlemann (born 6 December 1948) is an American topologist who is a professor at the University of California, Santa Barbara. He obtained...

coordinate changes). Mather also proved the conjecture of the French topologist René Thom that under topological equivalence smooth mappings are generically...

3140–3144. doi:10.1016/j.tcs.2011.04.002. — (2013). L.E.J. Brouwer - Topologist, Intuitionist, Philosopher: How mathematics is rooted in life. Springer...

illustrator James Waddell Alexander II (1888–1971), American mathematician and topologist James Alexander (disambiguation) John Alexander (disambiguation) This...

Ruggero Freddi (born 6 October 1976) is an Italian mathematics lecturer and former gay pornographic film actor known professionally as Carlo Masi. He was...

condition.' Once he was very angry with a colleague who happened to be a topologist, and explaining the case at length he wound up by declaring '... and what...

Peter Steven Ozsváth (born October 20, 1967) is a professor of mathematics at Princeton University. He created, along with Zoltán Szabó, Heegaard Floer...

Robert Duncan MacPherson (born May 25, 1944) is an American mathematician at the Institute for Advanced Study. Robert Duncan MacPherson was born in Lakewood...

André Haefliger (Swiss Standard German pronunciation: [ˈandreː ˈhɛːflɪɡər]; 22 May 1929 – 7 March 2023) was a Swiss mathematician who worked primarily...

3, 4, or 7 modulo 12. The Császár polyhedron is named after Hungarian topologist Ákos Császár, who discovered it in 1949. The dual to the Császár polyhedron...

Albrecht Dold (5 August 1928 – 26 September 2011) was a German mathematician specializing in algebraic topology who proved the Dold–Thom theorem, the Dold–Kan...

James William Tyrrell was a Canadian topologist and author. Like his older brother, Joseph Burr Tyrrell, Tyrrell went on physically demanding expeditions...

surface resources, including the original article, and an embedding of a topologist in the Oberwolfach Boy's surface. A LEGO Boy's surface A paper model of...

Victor Vladimirovich Goryunov is a Russian mathematician born in 1956. He is a leading figure in singularity theory, whose contributions to the subject...

Godfrey Peter Scott, known as Peter Scott, (1944 – 19 September 2023) was a British-American mathematician, known for the Scott core theorem. He was born...

Yum-Tong Siu – professor of mathematics Jeffrey H. Smith – algebraic topologist Eugene Spafford – professor of Computer Science and Director of CERIAS...

Felix Hausdorff (/ˈhaʊsdɔːrf/ HOWS-dorf, /ˈhaʊzdɔːrf/ HOWZ-dorf; November 8, 1868 – January 26, 1942) was a German mathematician, pseudonym Paul Mongré...

Egbert Rudolf van Kampen (28 May 1908 – 11 February 1942) was a Dutch mathematician. He made important contributions to topology, especially to the study...

Dennis Barden is a mathematician at the University of Cambridge working in the fields of geometry and topology. He is known for his classification of the...

Fellow of the American Mathematical Society. A conference with leading topologists as speakers was organized on the occasion of his 60th birthday. "Putnam...

Stephen Smale (born July 15, 1930) is an American mathematician, known for his research in topology, dynamical systems and mathematical economics. He was...

John Boyd Etnyre is an American mathematician at the Georgia Institute of Technology, and his research fields include contact geometry, symplectic geometry...

Kristen Hendricks is an American mathematician specializing in low-dimensional topology, including work on involutive Heegaard Floer homology and equivariant...

Solomon Lefschetz ForMemRS (Russian: Соломо́н Ле́фшец; 3 September 1884 – 5 October 1972) was a Russian-born American mathematician who did fundamental...

Curtis Tracy McMullen (born May 21, 1958) is an American mathematician who is the Cabot Professor of Mathematics at Harvard University. He was awarded...

Combinatorics at the University of California, San Diego; Wu-Chung Hsiang, topologist and professor at Princeton University; and Horng-Tzer Yau, Merton Professor...

influenced by the tutelage of Modest Shumbarsky, a student of the renowned topologist Karol Borsuk. He studied at the Kyrgyz Pedagogical Institute in Bishkek...

spreading awareness of catastrophe theory, which was due initially to another topologist, René Thom, and for his Christmas lectures about mathematics on television...

surname include: Anatoly Fomenko (born 1945), Russian mathematician and topologist, known for his work on historical revisionism Arturas Fomenko (born 1977)...

Chaim Goodman-Strauss (born June 22, 1967 in Austin, Texas) is an American mathematician who works in convex geometry, especially aperiodic tiling. He...

Carlos Tschudi Simpson (born 30 June 1962) is an American mathematician, specializing in algebraic geometry. Simpson received his Ph.D. in 1987 from Harvard...

Bruce Alan Kleiner is an American mathematician, working in differential geometry and topology and geometric group theory. He received his Ph.D. in 1990...

Ib Henning Madsen (born 12 April 1942, in Copenhagen) is a Danish mathematician, a professor of mathematics at the University of Copenhagen. He is known...

(born 1887) 1971 – James Waddell Alexander II, American mathematician and topologist (born 1888) 1973 – Pablo Neruda, Chilean poet and diplomat, Nobel Prize...

Stefan Mazurkiewicz (25 September 1888 – 19 June 1945) was a Polish mathematician who worked in mathematical analysis, topology, and probability. He was...

professor at Athens Polytechnic. Kritikos and Carathéodory helped the Greek topologist Christos Papakyriakopoulos take a doctorate in topology at Athens University...

Kathryn Pamela Hess (born 1967) is an American mathematician who has served as professor of mathematics at École Polytechnique Fédérale de Lausanne (EPFL)...

Maxim Lvovich Kontsevich (Russian: Макси́м Льво́вич Конце́вич, IPA: [mɐkˈsʲim ˈlʲvovʲɪtɕ kɐnˈtsɛvʲɪtɕ] ; born 25 August 1964) is a Russian and French mathematician...

Herbert Kenneth Kunen (August 2, 1943 – August 14, 2020) was a professor of mathematics at the University of Wisconsin–Madison who worked in set theory...

There exist quotient maps that are not hereditarily quotient. Gluing. Topologists talk of gluing points together. If X {\displaystyle X} is a topological...

Arthur Moritz Schoenflies (German: [ˈʃøːnfliːs]; 17 April 1853 – 27 May 1928), sometimes written as Schönflies, was a German mathematician, known for his...

surrounding the disappearance of an underground train are investigated by a topologist. The film is based on the short story "A Subway Named Mobius", which takes...

analytic number theorist Aleksandar Ivić, set theorist Stevo Todorčević and topologist Ljubisa D.R. Kocinac. AVNOJ award, 1976 Bernard Bolzano Charter, Prague...

Joshua Evan Greene (born in 1981) is a mathematician whose primary area of research is low-dimensional topology. He is a professor at Boston College. Greene...

Daniel Marinus Kan (or simply Dan Kan) (August 4, 1927 – August 4, 2013) was a Dutch mathematician working in category theory and homotopy theory. He was...

George William Whitehead, Jr. (August 2, 1918 – April 12, 2004) was an American professor of mathematics at the Massachusetts Institute of Technology,...

general and military commander Gheorghe Vrănceanu (1900–1979), Romanian topologist Gheorghe Zamfir (born 1941), Romanian pan flute musician Cornel Gheorghe...

with Larry Brown". Statistical Science. 20 (2): 193–203. Peter was a topologist by training and became a statistician. List of Fellows of the American...

Yakov Matveevich Eliashberg (also Yasha Eliashberg; Russian: Яков Матвеевич Элиашберг; born 11 December 1946) is an American mathematician who was born...

Aleksandr Gennadyevich Kurosh (Russian: Алекса́ндр Генна́диевич Ку́рош; January 19, 1908 – May 18, 1971) was a Soviet mathematician, known for his work...

Benson Stanley Farb (born October 25, 1967) is an American mathematician at the University of Chicago. His research fields include geometric group theory...

American Potter and Painter Oswald Veblen, mathematician, geometer and topologist Johannes B. Wist, journalist Iowa portal Decorah Municipal Airport /dəˈkɔːrə/...

Abigail A. Thompson (born 1958 in Norwalk, Connecticut) is an American mathematician. She works as a professor of mathematics at the University of California...

Richard James Milgram (born 5 December 1939 in South Bend, Indiana) is an American mathematician, specializing in algebraic topology. He is the son of...

American historian and professor Allen Hatcher (born 1944), American topologist, professor and author Allen Hawley (1893–1978), American fundraising administrator...

life in St. Petersburg. Ivan Fesenko, number theorist Anatoly Fomenko, topologist and chronologist, put forth a controversial theory of the New Chronology...

David Bernard Alper Epstein (born 1937) is a mathematician known for his work in hyperbolic geometry, 3-manifolds, and group theory, amongst other fields...

Tomasz Stanislaw Mrowka (born September 8, 1961) is an American mathematician specializing in differential geometry and gauge theory. He is the Singer...

Mathematician and topologist...

Eduard Jacob Neven Looijenga (born 30 September 1948, Zaandam) is a Dutch mathematician who works in algebraic geometry and the theory of algebraic groups...

(died 1943) 1888 – James Waddell Alexander II, American mathematician and topologist (died 1971) 1888 – Porter Hall, American actor (died 1953) 1889 – Sarah...

W. Stephen Wilson is a mathematician based in Johns Hopkins University specializing in homotopy theory. Wilson received his Ph.D. from Massachusetts Institute...

Paul Olum (August 16, 1918 – January 19, 2001) was an American mathematician (algebraic topology), professor of mathematics, and university administrator...

Walther Mayer (11 March 1887 – 10 September 1948) was an Austrian mathematician, born in Graz, Austria-Hungary. With Leopold Vietoris he is the namesake...

He studied at the ETH Zürich, where he came under the influence of the topologist Heinz Hopf and Lie-group theorist Eduard Stiefel. He was in Paris from...

American mathematician and topologist (1935–2022)...

videos and short films, including the 2009 16 minute cinema poem 'The Topologist'. Most recently he has made a video-cycle of four pieces for the songs...

in proteins and adds to their stability. The Hopf link is named after topologist Heinz Hopf, who considered it in 1931 as part of his research on the Hopf...

Pavel Samuilovich Urysohn (in Russian: Па́вел Самуи́лович Урысо́н; 3 February 1898 – 17 August 1924) was a Soviet mathematician who is best known for his...

Sumner Byron Myers (February 19, 1910 – October 8, 1955) was an American mathematician specializing in topology and differential geometry. He studied at...

singular homology. For example, Vietoris homology groups of the closed topologist's sine curve and of a segment are isomorphic (since the first projects...

Wisconsin in 1947, preferring not to work in the shadow of established topologists at Princeton. He remained at Wisconsin for 26 years, except for leaves...

David Edward Joyce is an American mathematician known for introducing quandles in knot theory, and for his online interactive edition of Euclid's Elements...

Alan William Reid (born June 14, 1962) is a Scottish-American mathematician working primarily with arithmetic hyperbolic 3-manifolds. He is the Edgar Odell...

John L. Kelley (December 6, 1916, in Kansas – November 26, 1999, in Berkeley, California) was an American mathematician at the University of California...

Louis Hirsch Kauffman (born February 3, 1945) is an American mathematician, mathematical physicist, and professor of mathematics in the Department of Mathematics...

Samuel Eilenberg (September 30, 1913 – January 30, 1998) was a Polish-American mathematician who co-founded category theory (with Saunders Mac Lane) and...

Helen Frances Cullen (January 4, 1919 – August 25, 2007) was an American mathematician specializing in topology. She worked for many years as a professor...

Ronald Alan Fintushel (born 1945) is an American mathematician, specializing in low-dimensional geometric topology (specifically of 4-manifolds) and the...

Marília Elon Lages Lima  9 Jul 1929 Maceió 7 May 2017 Rio de Janeiro Topologist and geometer, teacher and author of textbooks Artur Oscar Lopes  17 Oct...

Hassler Whitney (March 23, 1907 – May 10, 1989) was an American mathematician. He was one of the founders of singularity theory, and did foundational work...

Víctor Neumann-Lara (1933–2004) was a Mexican mathematician and a pioneer in the field of graph theory in Mexico. His work also covers general topology...

of interacting particle systems Norman Steenrod (A.B. 1932), algebraic topologist, author of The Topology of Fiber Bundles; believed to have coined the...

mathematics at Berkeley. He initially worked under the supervision of the topologist John L. Kelley, writing on C* algebras. In 1950, in response to McCarthyite...

State University and began to participate in the seminars of the famous topologist P. S. Alexandrov. In 1948 Smirnov graduated from the Faculty of Mechanics...

Leo Zippin (January 25, 1905 – May 11, 1995) was an American mathematician. He is best known for solving Hilbert's Fifth Problem with Deane Montgomery...

Caldiero, 76, American poet, heart attack. Robert Daverman, 84, American topologist. Giancarlo Dettori, 93, Italian actor (Quattro bravi ragazzi, My Sister...

John Vincent Pardon (born June 1989) is an American mathematician and works on geometry and topology. He is primarily known for having solved Gromov's...

Wolfgang Haken (German: [ˈvɔlfɡaŋ ˈhaːkn̩]; June 21, 1928 – October 2, 2022) was a German American mathematician who specialized in topology, in particular...

Enrico Betti Glaoui (21 October 1823 – 11 August 1892) was an Italian mathematician, now remembered mostly for his 1871 paper on topology that led to the...

received her M.A. in 1977, and her Ph.D. in 1981 under the supervision of topologist Mary Ellen Rudin. Navy's doctoral thesis, "Nonparacompactness in Para-Lindelöf...

(artist groups from 12 cities), are in fact a rich find for semoticians, topologists and visual philosophers. With this now 65 hours long video archive, a...

Shaun Wylie (17 January 1913 – 2 October 2009) was a British mathematician and World War II codebreaker. Wylie was born in Oxford, England. The fourth...

Uitgegevers, Zwolle, 2004 (pp 323–330) Dalen, Dirk van (2012). L.E.J. Brouwer – Topologist, Intuitionist, Philosopher: How Mathematics Is Rooted in Life. Springer...

Henno. "monotone normality, linear orders and the Sorgenfrey line". Ask a Topologist. Zhang, Hang; Shi, Wei-Xue (2012). "Monotone normality and neighborhood...

Italo Jose Dejter (December 17, 1939) is an Argentine-born American mathematician, a retired professor of mathematics and computer science from the University...

circle. It is a compact subset of the plane produced by "closing up" a topologist's sine curve (also called a Warsaw sine curve) with an arc. The homotopy...

Karol Borsuk (8 May 1905 – 24 January 1982) was a Polish mathematician. His main area of interest was topology. He made significant contributions to shape...

Johannes de Groot (1914 in Garrelsweer – 1972) a Dutch mathematician and topologist Jan Pesman (1931 in Stedum – 2014) a Dutch long-distance speed skater...

of the Hungarian Academy of Sciences András Stipsicz, low dimensional topologist, member of the Hungarian Academy of Sciences Endre Szemerédi, combinatorialist...

Mark Edward Mahowald (December 1, 1931 – July 20, 2013) was an American mathematician known for work in algebraic topology. Mahowald was born in Albany...

This embedding is sometimes called the "Sudanese Möbius strip" after topologists Sue Goodman and Daniel Asimov, who discovered it in the 1970s. Geometrically...

that are not path-connected include the extended long line L* and the topologist's sine curve. However, subsets of the real line R are connected if and...

Ljubisa Dragi Rosanda Kocinac (born in Serbia in January 1947) is a mathematician and currently a Professor Emeritus at the University of Niš, Serbia....

Gunnar E. Carlsson (born August 22, 1952 in Stockholm, Sweden) is an American mathematician, working in algebraic topology. He is known for his work on...

cobordism. The last-named theory in particular is much used by algebraic topologists as a computational tool (e.g., for the homotopy groups of spheres). Cobordism...

Mikhail Khovanov (Russian: Михаил Гелиевич Хованов; born 13 January 1972) is a Russian professor of mathematics at Johns Hopkins University who works on...

is interpreted as the natural logarithm. An oft-repeated joke is that topologists cannot tell a coffee cup from a doughnut, since they are topologically...

Richard Davis Anderson Sr. (February 17, 1922 – March 4, 2008) was an American mathematician known internationally for his work in infinite-dimensional...

Marc Edward Culler (born November 22, 1953) is an American mathematician who works in geometric group theory and low-dimensional topology. A native Californian...

Victor Anatolyevich Vassiliev or Vasilyev (Russian: Виктор Анатольевич Васильев; born April 10, 1956), is a Soviet and Russian mathematician. He is best...

groups appeared in 1935.[citation needed] Thus the dreams of the early topologists have long been regarded as a mirage.[citation needed] Cubical higher...

Charles Ehresmann (19 April 1905 – 22 September 1979) was a German-born French mathematician who worked in differential topology and category theory. He...

Ulrike Luise Tillmann FRS is a mathematician specializing in algebraic topology, who has made important contributions to the study of the moduli space...

Daniel Gray Quillen (June 22, 1940 – April 30, 2011) was an American mathematician. He is known for being the "prime architect" of higher algebraic K-theory...

{\displaystyle x} to ( x , sin ⁡ ( 1 / x ) ) {\displaystyle (x,\sin(1/x))} (the "topologist's sine curve"), the closure adds an entire vertical line segment of limit...

Greg Kuperberg (born July 4, 1967) is a Polish-born American mathematician known for his contributions to geometric topology, quantum algebra, and combinatorics...

Walter David Neumann (1 January 1946 – 24 September 2024) was a British-American mathematician who worked in topology, geometric group theory, and singularity...

Alan David Weinstein (born 17 June 1943) is a professor of mathematics at the University of California, Berkeley, working in the field of differential...

Sergei Tabachnikov, also spelled Serge, (born in 1956) is an American mathematician who works in geometry and dynamical systems. He is currently a Professor...

William Schumacher Massey (August 23, 1920 – June 17, 2017) was an American mathematician, known for his work in algebraic topology. The Massey product...

Ellipses" 2019 Tara Holm, Cornell University, "Dance of the Astonished Topologist... or How I Left Squares and Hexes for Math" 2020 MathFest and Falconer...

Charles Newton Little (1858–1923) was an American mathematician and civil engineer. He was known for his expertise in knot theory, including the construction...

Robert Wayne Thomason (5 November 1952 – 5 November 1995) was an American mathematician who worked on algebraic K-theory. His results include a proof that...

Ryszard Engelking (16 November 1935 – 16 November 2023) was a Polish mathematician. He was working mainly on general topology and dimension theory. He...

for E.T. Bell, p. 307, The Development of Mathematics still strikes [topologist Albert W.] Tucker - among books on the history of mathematics - 'as the...

lifelong partner, with whom he shared a home starting in 1929, was the topologist Pavel Alexandrov. Vitányi, P.M.B. (1988). "Andrei Nikolaevich Kolmogorov"...

Michigan Greenland Expedition. The following summer he was geographer and topologist for George P. Putnam's expedition to survey the coast of Baffin Island...

Clifford Henry Taubes (born February 21, 1954) is the William Petschek Professor of Mathematics at Harvard University and works in gauge field theory,...

Władysław Roman Orlicz (May 24, 1903 – August 9, 1990) was a Polish mathematician of Lwów School of Mathematics. His main interests were functional analysis...

Allen Edward Hatcher (born October 23, 1944) is an American mathematician specializing in geometric topology. Hatcher was born in Indianapolis, Indiana...

development topology in the early 20th century spearheaded by Henri Poincaré, topologists such as Max Dehn, J. W. Alexander, and Kurt Reidemeister, investigated...

Ezra Getzler (born 9 February 1962 in Melbourne) is an Australian mathematician and mathematical physicist. Getzler studied from 1979 to 1982 at the Australian...

Cameron Gordon (born 1945) is a Professor and Sid W. Richardson Foundation Regents Chair in the Department of Mathematics at the University of Texas at...

Henri Moscovici (born 5 May 1944) is a Romanian-American mathematician, specializing in non-commutative geometry and global analysis. Moscovici received...

focused on topology and the field of mathematics. In 1975, he was the first topologist to apply the concept of scales (now known as b = d) to give a partial...

M. Kornbluth (1968) "Introduction”, [Edmund Crispin] "The Unfortunate Topologist”, 1957 (poem) "The Marching Morons”, 1951 "The Altar at Midnight”, 1952...

Lev Genrikhovich Schnirelmann (also Shnirelman, Shnirel'man; Лев Ге́нрихович Шнирельма́н; 2 January 1905 – 24 September 1938) was a Soviet mathematician...

generalized by analogous results for simplicial sets. While algebraic topologists largely continue to prefer CW complexes, there is a growing contingent...

Science (MIMS) conference areas. One of seminar rooms is named after the topologist Frank Adams, and the library after algebraist Brian Hartley. Lecture theatres...

David Gabai is an American mathematician and the Hughes-Rogers Professor of Mathematics at Princeton University. His research focuses on low-dimensional...

Robert Wolfe Brooks (September 16, 1952 – September 5, 2002) was an American mathematician known for his work in spectral geometry, Riemann surfaces, circle...

S^{2}} is the surface of an ordinary ball of radius one in 3 dimensions. Topologists consider a space X to be an n-sphere if there is a homeomorphism between...

Paul Althaus Smith (May 18, 1900 – June 13, 1980) was an American mathematician. His name occurs in two significant conjectures in geometric topology:...

pinyin: Yáng Zhòngdào) (May 4, 1923 – 2005), was a notable Chinese American topologist. He was an academician of the Academia Sinica and served as the chair...

Lazar Aronovich Lyusternik (also Lusternik, Lusternick, Ljusternik; Russian: Лазарь Аронович Люстерник; 31 December 1899 – 22 July 1981) was a Soviet mathematician...

dissertation Estudio sobre dendroides y compactaciones supervised by Polish topologist Janusz J. Charatonik, becoming his only female doctoral student. After...

Sylvain Edward Cappell (born 1946) is a Belgian American mathematician specializing in topology. He is a former student of William Browder at Princeton...

Shlomo Zvi Sternberg (January 20, 1936 – August 23, 2024) was an American mathematician known for his work in geometry, particularly symplectic geometry...

accessible spaces, Hausdorff spaces, regular spaces, and normal spaces. Topologists assigned these classes of spaces the names T1, T2, T3, and T4. Later...

the notion of a cofibration in a model category, see model category. Topologists have long studied notions of "good subspace embedding", many of which...

Peter Teichner (born June 30, 1963 in Bratislava, Czechoslovakia) is a German mathematician and one of the directors of the Max Planck Institute for Mathematics...

Oscar Randal-Williams FRS is a British mathematician and professor at the University of Cambridge, working in topology. Randal-Williams studied mathematics...

Dale Husemöller (also spelled Husemoller) was an American mathematician specializing in algebraic topology and homological algebra who is known for his...

Samarendra Nath Roy, known for multivariate analysis Sucharit Sarkar, Indian topologist and IMO gold medallist Radhanath Sikdar, calculated the height of Mount...

Hellmuth Kneser (16 April 1898 – 23 August 1973) was a German mathematician who made notable contributions to group theory and topology. His most famous...

\mathbb {R} ^{3}} with K ( 0 ) = K ( 1 ) {\displaystyle K(0)=K(1)} . Topologists consider knots and other entanglements such as links and braids to be...

William Howard Jaco (born July 14, 1940) is an American mathematician who is known for his role in the Jaco–Shalen–Johannson decomposition theorem and...

Kiyoshi Igusa (born November 28, 1949) is a Japanese-American mathematician and a professor at Brandeis University. He works in representation theory and...

Graeme Bryce Segal FRS (born 21 December 1941) is an Australian mathematician, and professor at the University of Oxford. Segal was educated at the University...

Yair Nathan Minsky (born in 1962) is an Israeli-American mathematician whose research concerns three-dimensional topology, differential geometry, group...

James Raymond Munkres (born August 18, 1930) is an American mathematician and academic who is professor emeritus of mathematics at MIT and the author of...

Zygmunt Janiszewski (12 July 1888 – 3 January 1920) was a Polish mathematician. He was born to mother Julia Szulc-Chojnicka and father, Czeslaw Janiszewski...

Augustin Banyaga (born March 31, 1947) is a Rwandan-born American mathematician whose research fields include symplectic topology and contact geometry...

researcher Zena Werb (1945–2020), cell biologist Dror Bar-Natan (1966– ), topologist Yoshua Bengio (1964– ), computer scientist[citation needed] David Borwein...

John Coleman Moore (May 27, 1923 – January 1, 2016) was an American mathematician. The Borel−Moore homology and Eilenberg–Moore spectral sequence are named...

spheres; the second on the Ravenel conjectures—colloquially known among topologists as the ‘green’ and ‘orange’ books, respectively (though the former is...

Wacław Franciszek Sierpiński (Polish: [ˈvat͡swaf fraɲˈt͡ɕiʂɛk ɕɛrˈpij̃skʲi] ; 14 March 1882 – 21 October 1969) was a Polish mathematician. He was known...

Retrieved 6 January 2018. Dalen, Dirk van (2012-12-04). L.E.J. Brouwer – Topologist, Intuitionist, Philosopher: How Mathematics Is Rooted in Life. Springer...

Boris Z. Shapiro (born 1957, Moscow, Soviet Union) is a Russian-Swedish mathematician, whose research concerns differential equations, commutative algebra...

Morwen Bernard Thistlethwaite (born 5 June 1945) is a knot theorist and professor of mathematics for the University of Tennessee in Knoxville. He has made...

Robion Cromwell Kirby (born February 25, 1938) is a Professor of Mathematics at the University of California, Berkeley who specializes in low-dimensional...

edges are straight line segments, which themselves terminate in points. Topologists would refer to such a construction as a simplicial complex. The boundary...

Miroslav Katětov (Czech pronunciation: [ˈmɪroslaf ˈkacɛtof]; March 17, 1918, Chembar, Russia – December 15, 1995) was a Czech mathematician, chess master...

to as algebraists' simplex category and the above version is called topologists' simplex category. A contravariant functor defined on Δ + {\displaystyle...

John Stephen Halperin (born 1 February 1942 in Kingston, Ontario) is a Canadian mathematician who deals with differential geometry and algebraic topology...

Sergei Petrovich Novikov (Russian: Серге́й Петро́вич Но́виков [sʲɪrˈɡʲej pʲɪˈtrovʲɪtɕ ˈnovʲɪkəf]; 20 March 1938 – 6 June 2024) was a Soviet and Russian...

John Edwin Luecke is an American mathematician who works in topology and knot theory. He got his Ph.D. in 1985 from the University of Texas at Austin and...

Zoltán Szabó (born November 24, 1965) is a professor of mathematics at Princeton University known for his work on Heegaard Floer homology. Szabó received...

Kathryn Mann is a mathematician who has won the Rudin Award, Birman Prize, Duszenko Award, and Sloan Fellowship for her research in geometric topology...

functions on products of topological spaces under the supervision of Russian topologist Lyudmila Keldysh. After defending his PhD in 1954, he returned to Latvia...

Mladen Bestvina (born 1959) is a Croatian-American mathematician working in the area of geometric group theory. He is a Distinguished Professor in the...

Jean Leray (French: [ləʁɛ]; 7 November 1906 – 10 November 1998) was a French mathematician, who worked on both partial differential equations and algebraic...

Jennifer Carol Schultens (born 1965) is an American mathematician specializing in low-dimensional topology and knot theory. She is a professor of mathematics...

Neža Mramor Kosta, also known as Nežka Mramor Kosta, is a Slovenian mathematician retired as a professor of computer and information science at the University...

William Browder (January 6, 1934 – February 4, 2025) was an American mathematician, who specialized in algebraic topology, differential topology and differential...

Selman Akbulut (born 1949) is a Turkish mathematician, specializing in research in topology, and geometry. He was a professor at Michigan State University...

pp. 176–188. ISBN 978-0-19-957814-6. Anderson, D. (2007). "Max Newman: Topologist, Codebreaker, and Pioneer of Computing". IEEE Annals of the History of...

James Bosley Noel Wyatt Beatrice Aitchison, mathematician, statistician, topologist, and transportation economist Hattie Alexander, pediatrician and microbiologist...

Arthur Norton Milgram (3 June 1912 – 30 January 1961) was an American mathematician. He made contributions in functional analysis, combinatorics, differential...

Gilles Châtelet (2 February 1944 – 11 June 1999) was a French philosopher and mathematician. Châtelet began studying at the École Normale Supérieure F...

(mathematical function, Euler's number, Euler diagram) Anatoly Fomenko, topologist and chronologist, put forth a controversial theory of the New Chronology...

John Frank Adams FRS (5 November 1930 – 7 January 1989) was a British mathematician, one of the major contributors to homotopy theory. He was born in Woolwich...

Thomas Penyngton Kirkman FRS (31 March 1806 – 3 February 1895) was a British mathematician and ordained minister of the Church of England. Despite being...

Kazimierz Zarankiewicz (2 May 1902 – 5 September 1959) was a Polish mathematician and Professor at the Warsaw University of Technology who was interested...

Kurt Werner Friedrich Reidemeister (13 October 1893 – 8 July 1971) was a mathematician born in Braunschweig (Brunswick), Germany. He was a brother of Marie...

Mary Ellen Rudin (December 7, 1924 – March 18, 2013) was an American mathematician known for her work in set-theoretic topology. In 2013, Elsevier established...

Werner Gysin (15 July 1915 – 1998) was a Swiss mathematician who introduced the Gysin sequence and Gysin homomorphism in his only published paper (Gysin...

Jean-Louis Loday (12 January 1946 – 6 June 2012) was a French mathematician who worked on cyclic homology and who introduced Leibniz algebras (sometimes...

Robert Mark Goresky is a Canadian mathematician who invented intersection homology with his advisor and life partner Robert MacPherson. Goresky received...

Danny Matthew Cornelius Calegari is a mathematician and, as of 2023[update], a professor of mathematics at the University of Chicago. His research interests...

Saunders Mac Lane – co-founder of category theory J. Peter May – algebraic topologist Paul Meier – statistician, promoter of randomized trials in medicine E...

Andrey Nikolayevich Tikhonov (Russian: Андре́й Никола́евич Ти́хонов; 17 October 1906 – 7 October 1993) was a leading Soviet Russian mathematician and geophysicist...

Georgian-born general topologist. Chigogidze is best known for his book Inverse Spectra, in which he passed on to the next generation of topologists the results...

Stevo Todorčević FRSC (Serbian Cyrillic: Стево Тодорчевић; born February 9, 1955), is a Yugoslavian mathematician specializing in mathematical logic and...

Isadore Manuel Singer (May 3, 1924 – February 11, 2021) was an American mathematician. He was an emeritus institute professor in the Department of Mathematics...

Harold Calvin Marston Morse (March 24, 1892 – June 22, 1977) was an American mathematician best known for his work on the calculus of variations in the...

John Henry Constantine Whitehead FRS (11 November 1904 – 8 May 1960), known as "Henry", was a British mathematician and was one of the founders of homotopy...

Hans Hahn (/hɑːn/; German: [haːn]; 27 September 1879 – 24 July 1934) was an Austrian mathematician and philosopher who made contributions to functional...

Kirby calculus. Dale Rolfsen's book, Knots and Links, from which many topologists have learned the Kirby calculus, describes a set of two moves: 1) delete...

Autumn Kent is an American mathematician specializing in topology and geometry. She is a professor of mathematics and Vilas Associate at the University...

Zhongci – mathematician Xia Daoxing – mathematician Chung Tao Yang – topologist Yuan-Shih Chow – probabilist Lin Fanghua – mathematician, Bôcher Memorial...

Haynes Robert Miller (born January 29, 1948, in Princeton, New Jersey) is an American mathematician specializing in algebraic topology. Miller completed...

Karen Vogtmann FRS (born July 13, 1949 in Pittsburg, California) is an American mathematician working primarily in the area of geometric group theory....

Michael Weiss (born 14 December 1955) is a German mathematician and an expert in algebraic and geometric topology. He is a professor at the University...

aware of her work. During this time, there was a group of important topologists including Horst Herrlich; hence, Salicrup and some fellow mathematicians...

supervised by Clint McCrory and Will Kazez. She is a low-dimensional topologist with mathematical interests that include braid groups, geometric group...

Ralph Hartzler Fox (March 24, 1913 – December 23, 1973) was an American mathematician. As a professor at Princeton University, he taught and advised many...

Vladimir Marković is a Professor of Mathematics at University of Oxford. He was previously the John D. MacArthur Professor at the California Institute...

Ioan Mackenzie James FRS (23 May 1928 – 21 February 2025) was a British mathematician working in the field of topology, particularly in homotopy theory...

Magnhild Lien is a Norwegian mathematician specializing in knot theory. She is a professor emeritus of mathematics at California State University, Northridge...

Andrey Andreyevich Markov (Russian: Андре́й Андре́евич Ма́рков; 22 September 1903, Saint Petersburg – 11 October 1979, Moscow) was a Soviet mathematician...

Ciprian Manolescu (Romanian pronunciation: [tʃipriˈan manoˈlesku]; born December 24, 1978) is a Romanian-American mathematician, working in gauge theory...

István Fáry (30 June 1922 – 2 November 1984) was a Hungarian-born mathematician known for his work in geometry and algebraic topology. He proved Fáry's...

Nicolai Yuryevich Reshetikhin (Russian: Николай Юрьевич Решетихин, born October 10, 1958, in Leningrad, Soviet Union) is a mathematical physicist, currently...

technology designer Mona Minkara – American chemist Bernard Morin – French topologist Abraham Nemeth – Developed Nemeth Braille for blind students in science...

George Michael Reed is an American computer scientist. He has contributed to theoretical computer science in general and CSP in particular. Mike Reed has...

Victor Matveevich Buchstaber (Russian: Виктор Матвеевич Бухштабер, born 1 April 1943, Tashkent, Soviet Union) is a Soviet and Russian mathematician known...

Peter Benedict Kronheimer (born 1963) is a British mathematician, known for his work on gauge theory and its applications to 3- and 4-dimensional topology...

Constantinescu [de], and Aurel Cornea [ro]. Some of the first Romanian topologists who obtained their candidate’s theses were Stoilow’s students Tudor Ganea...

Peter John Hilton (7 April 1923 – 6 November 2010) was a British mathematician, noted for his contributions to homotopy theory and for code-breaking during...

theory eventually became part of the emerging subject of topology. These topologists in the early part of the 20th century—Max Dehn, J. W. Alexander, and...

Pedro Ontaneda Portal is a Peruvian-American mathematician specializing in topology and differential geometry. He is a distinguished professor at Binghamton...

captain James Waddell Alexander II (1888–1971), American mathematician & topologist Jim Alexander (footballer) (1899–1972), Australian rules footballer James...

Kenneth Stephen Brown (born 1945) is a professor of mathematics emeritus who spent his career at Cornell University, working in category theory and cohomology...

Max Planck Institute for Mathematics. Retrieved 2021-03-14. "Notre Dame topologist awarded The André Lichnerowicz Prize in Poisson geometry". University...

Wu Wenjun (Chinese: 吴文俊; 12 May 1919 – 7 May 2017), also commonly known as Wu Wen-tsün, was a Chinese mathematician, historian, and writer. He was an academician...

2013 in Bloomington, Indiana) was a Polish and American mathematician, topologist. His father was Jan Leonard Jaworowski, and his mother—Helena (maiden...

published as "Mary-Elizabeth Hamstrom", News-Gazette, December 10, 2009. "Topologist Mary-Elizabeth Hamstrom Dies at 82", News, Mathematical Association of...

David W. Lewis (21 February 1944 in Douglas, Isle of Man—20 August 2021 in Dublin) was a Manx mathematician known for his contributions to quadratic forms...

and as institute head he was involved in various controversies with the topologist and intuitionist mathematician L. E. J. Brouwer. He was a shrewd investor...

Søren Galatius (born 1 August 1976) is a Danish mathematician who works as a professor of mathematics at the Columbia University. He works in algebraic...

Thomas "Tim" Daniel Cochran (April 7, 1955 – December 16, 2014) was a professor of mathematics at Rice University specializing in topology, especially...

Andrew Putman (born October 22, 1979) is an American mathematician at the University of Notre Dame. His research fields include geometric group theory...

Alexander Doniphan Wallace (21 August 1905, in Hampton, Virginia, USA – 16 October 1985, in New Orleans, USA) was an American mathematician who introduced...

and The Economist. In 2020 Rabadan together with Andrew Blumberg, a topologist at the University of Texas, published a book Topological Data Analysis...

Rachel Roberts is an American mathematician specializing in low-dimensional topology, including foliations and contact geometry. She is the Elinor Anheuser...

Paul Alexander Schweitzer SJ (born July 21, 1937) is an American mathematician specializing in differential topology, geometric topology, and algebraic...

Jerome Paul Levine (May 4, 1937 – April 8, 2006) was a mathematician who contributed to the understanding of knot theory. Born in New York City, Levine...

René-Louis Baire (French: [bɛʁ]; 21 January 1874 – 5 July 1932) was a French mathematician most famous for his Baire category theorem, which helped to...

Michael Lounsbery Hutchings is an American mathematician, a professor of mathematics at the University of California, Berkeley. He is known for proving...

Feliksovich Bokshtein or Bokstein) (4 October 1913 to 2 May 1990) was a topologist from Moscow who introduced the Bockstein homomorphism. The Bockstein spectral...

Joachim Hyam Rubinstein FAA (born 7 March 1948, in Melbourne) is[update] an Australian top mathematician specialising in low-dimensional topology; he is...

(1935–2007), rower Heiner Zieschang (1936–2004), mathematician, was a topologist Heiko Braak (born 1937), anatomist, contributed to the neuropathology...

completing her Ph.D. in 1995 under the supervision of Herman R. Gluck, a topologist who had been a student of Ralph Fox. In 1996, she added a master's degree...

Nicolaas Hendrik Kuiper (Dutch pronunciation: [ˈkœypər]; 28 June 1920 – 12 December 1994) was a Dutch mathematician, known for Kuiper's test and proving...

Allison Henrich (born 1980) is an American mathematician specializing in knot theory and also interested in undergraduate-level mathematics research mentorship...

Burt James Totaro, FRS (b. 1967), is an American mathematician, currently a professor at the University of California, Los Angeles, specializing in algebraic...

Victor William Guillemin (born 1937 in Boston) is an American mathematician. He works at the Massachusetts Institute of Technology in the field of symplectic...

Reid (2013). Courant. Springer. D. van Dalen (2012). L. E. J. Brouwer - Topologist, Intuitionist, Philosopher: How Mathematics Is Rooted in Life. Springer...

John Michael Boardman (13 February 1938 – 18 March 2021) was a mathematician whose speciality was algebraic and differential topology. He was affiliated...

Ichirō Satake (佐武 一郎, Satake Ichirō) (25 December 1927 – 10 October 2014) was a Japanese mathematician working on algebraic groups who introduced the Satake...

Edwin Henry Spanier (August 8, 1921 – October 11, 1996) was an American mathematician at the University of California at Berkeley, working in algebraic...

Рожанская; 1901 – 23 April 1967), also spelt Julia Różańska, was a Soviet topologist. After studying under Pavel Aleksandrov, she was an associate professor...

Georg Feigl (13 October 1890 – 20 April 1945) was a German mathematician. Georg Feigl started studying mathematics and physics at the University of Jena...

Dmitry Feichtner-Kozlov (born 16 December 1972, in Tomsk, Russia) is a Russian-German mathematician. He works in the field of Applied and Combinatorial...

Thomas Hans Willwacher (born 12 April 1983) is a German mathematician and mathematical physicist working as a Professor at the Institute of Mathematics...

metrizable. This theorem is known as Jones’ theorem. For a long time, topologists were trying to prove the so-called normal Moore space conjecture: every...

Charles Waldo Rezk (born 26 January 1969) is an American mathematician, specializing in algebraic topology and category theory. Rezk matriculated at the...

Glen Eugene Bredon (August 24, 1932 – May 8, 2000) was an American mathematician who worked in the area of topology. Bredon received a bachelor's degree...

John William Theodore Youngs (usually cited as J. W. T. Youngs, known as Ted Youngs; 21 August 1910 Bilaspur, Chhattisgarh, India – 20 July 1970 Santa...

Andrew John Casson FRS (January 22, 1943 – September 5, 2025) was a mathematician, working in the area of geometric topology. Casson was the Philip Schuyler...

Zhouli Xu (Chinese: 徐宙利; born 1987) is a Chinese mathematician specializing in topology as a Professor of Mathematics at the University of California,...

and tries to live with people in the outside world. Moebius (1996) – Topologists including a young girl make contributions to the subway system and other...

Jiří (Jirka) Matoušek (10 March 1963 – 9 March 2015) was a Czech mathematician working in computational geometry and algebraic topology. He was a professor...

Włodzimierz "Wlodek" Kuperberg (born January 19, 1941) is a professor of mathematics at Auburn University, with research interests in geometry and topology...

Dan Margalit (born March 6, 1976) is an American mathematician at Vanderbilt University. His research fields include geometric group theory and low-dimensional...

Beno Eckmann (31 March 1917 – 25 November 2008) was a Swiss mathematician who made contributions to algebraic topology, homological algebra, group theory...

William J. Floyd is an American mathematician specializing in topology. He is currently a professor at Virginia Polytechnic Institute and State University...

Arts and a Fellow of the American Mathematical Society. Mardešić was a topologist who worked in all main branches of topology having published 148 research...

James Waddell Alexander II (1888–1971), was a noted mathematician and topologist. Christ's gracious invitation Biographical sketches of the founder, and...

Albert Solomonovich Schwarz (/ʃwɔːrts/ SHWORTS; Russian: Альберт Соломонович Шварц; born June 24, 1934) is a Soviet-American mathematician and a theoretical...

Joel Hass is an American mathematician and a professor of mathematics and at the University of California, Davis. His work focuses on geometric and topological...

Samuel John Lomonaco Jr. is an American academic and mathematician who is a professor of computer science and electrical engineering at the University...

pseudonym "Ranicki") in London. The couple's only child, Andrew Ranicki, a topologist and mathematics professor, was born in London in 1948. Reich was recalled...

John Willard Morgan (born March 21, 1946) is an American mathematician known for his contributions to topology and geometry. He is a Professor Emeritus...

Serguei Barannikov (Russian: Сергей Александрович Баранников; born April 16, 1972) is a mathematician, known for his works in algebraic topology, algebraic...

Eduard Čech (Czech: [ˈɛduart ˈtʃɛx]; 29 June 1893 – 15 March 1960) was a Czech mathematician. His research interests included projective differential geometry...

Observatory in Southwest Finland. The asteroid was named after Finnish topologist Ernst Lindelöf. Lindelöf orbits the Sun in the central main asteroid belt...

Charles Terence Clegg "Terry" Wall (born 14 December 1936) is a British mathematician, educated at Marlborough and Trinity College, Cambridge. He is an...

John Rolfe Isbell (October 27, 1930 – August 6, 2005) was an American mathematician. For many years he was a professor of mathematics at the University...

Ernst Leonard Lindelöf (Swedish pronunciation: [ˈlɪ̂nːdɛˌløːv]; 7 March 1870 – 4 June 1946) was a Finnish mathematician, who made contributions in real...

Alexandre Mikhailovich Vinogradov (Russian: Александр Михайлович Виноградов; 18 February 1938 – 20 September 2019) was a Russian and Italian mathematician...

remaining seven focusing on more specialized material for logicians, topologists, and lattice theorists. The first chapter concerns partially ordered...

tomography in reconstructing dinosaurs Richard Eliot Chamberlin – geometric topologist, visiting scholar at the Institute for Advanced Study, and Invited Speaker...

Ostrogradsky – mathematician Anatoly Fomenko – mathematician, well known as a topologist, the author of a pseudoscientific theory known as New Chronology Anton...

Judith A. "Judy" Roitman (born November 12, 1945) is a mathematician, a retired professor at the University of Kansas. She specializes in set theory, topology...

Morris William Hirsch (born June 28, 1933) is an American mathematician, formerly at the University of California, Berkeley. A native of Chicago, Illinois...

Marvin Jay Greenberg (December 22, 1935 – December 12, 2017) was an American mathematician. Greenberg studied at Columbia University where he received...

20th century James Waddell Alexander II (1888–1971), mathematician and topologist who was one of the first members of the Institute for Advanced Study (1933–1951)...

Bolivia from 1969 to 1970 Karol Borsuk, 76, Polish mathematician and topologist known for the theories of absolute retracts (ARs) and absolute neighborhood...

Robert Evert Stong (August 23, 1936, Oklahoma City – April 10, 2008, Charlottesville, Virginia) was a mathematician at the University of Virginia who proved...

cohomology differs from singular cohomology. For example if X is the closed topologist's sine curve, then H ˇ 1 ( X ; Z ) = Z , {\displaystyle {\check {H}}^{1}(X;\mathbb...

resources to reevaluate and replace its medieval Islamicists and algebraic topologists every year. Tenure thus lets the academic community avoid excessive turnover...

Joan Sylvia Lyttle Birman (born May 30, 1927, in New York City) is an American mathematician, specializing in low-dimensional topology. She has made contributions...

professor at Ruhr University in Bochum from 1968 till 2002. He was a topologist. In 1996 he was an honorary doctor of University of Toulouse and in 1997...

Ian Agol (/ˈeɪˌɡʊl/; born May 13, 1970) is an American mathematician who deals primarily with the topology of three-dimensional manifolds. Agol graduated...

Katsuya Eda (江田 勝哉, Eda Katsuya) is a mathematician, currently a professor at Waseda University. His research centers on set theory and its applications...

Yuli B. Rudyak (24 April 1948 - 24 August 2024) was a professor of mathematics at the University of Florida in Gainesville, Florida. He obtained his doctorate...

Zdeněk Frolík (10 March 1933 – 3 May 1989) was a Czech mathematician. His research interests included topology and functional analysis. In particular,...

James W. Cannon (born January 30, 1943) is an American mathematician working in the areas of low-dimensional topology and geometric group theory. He was...

ethnobotanist Richard Evans Schultes, legal scholar Roger Fisher, and topologist Arthur Lee Loeb, who would later succeed John Mayer as Master of Dudley...

Herman Lyle Smith (July 7, 1892 – 1950) was an American mathematician, the co-discoverer, with E. H. Moore, of nets, and also a discoverer of the related...

William Francis Pohl (16 September 1937 – 9 December 1988) was an American mathematician, specializing in differential geometry and known for the Clifton–Pohl...

Jean Cerf (born 1928) is a French mathematician, specializing in topology. Jean Cerf was born in Strasbourg, France, in 1928. He studied at the École Normale...

Poul Heegaard (Danish: [ˈhe̝ˀˌkɒˀ] ; November 2, 1871, Copenhagen - February 7, 1948, Oslo) was a Danish mathematician active in the field of topology...

Edwin Evariste Moïse (/moʊˈiːz/; December 22, 1918 – December 18, 1998) was an American mathematician and mathematics education reformer. After his retirement...

Klaus Wagner (March 31, 1910 – February 6, 2000) was a German mathematician known for his contributions to graph theory. Wagner studied topology at the...

John C. Oxtoby (1910–1991) was an American mathematician. In 1936, he graduated with a Master of Science in mathematics from Harvard University. He was...

Robert F. Riley (December 22, 1935–March 4, 2000) was an American mathematician. He is known for his work in low-dimensional topology using computational...

in the Washington Metropolitan Area and regularly attracts well-known topologists from other areas of the US and from other countries. For example, Knots...

Eric Karel van Douwen (April 25, 1946 in Voorburg, South Holland, Netherlands – July 28, 1987 in Athens, Ohio, United States) was a Dutch mathematician...

Gheorghe Călugăreanu (16 June 1902 – 15 November 1976) was a Romanian mathematician, professor at Babeș-Bolyai University, and full member of the Romanian...

naturally isomorphic as a graded ring to Lazard's universal ring. Hence, topologists commonly regrade the Lazard ring so that c i , j {\displaystyle c_{i...

many drownings. Pavel Urysohn (born 1898), Russian mathematician and topologist, drowned on 17 August 1924 while on holiday in France. Sacadura Cabral...

Wolfgang Franz (born 4 October 1905 in Magdeburg, Germany; died 26 April 1996) was a German mathematician who specialised in topology particularly in 3-manifolds...

Leonidas (Leon) Alaoglu (Greek: Λεωνίδας Αλάογλου; 1914–1981) was a Canadian-American mathematician and operations researcher. During his six-year stint...

Marion Kirkland "Kirk" Fort Jr. (1921–1964) was an American mathematician, specializing in general topology. The topological spaces called Fort space and...

James Dugundji (August 30, 1919 – January 8, 1985) was an American mathematician, a professor of mathematics at the University of Southern California....

William Gerard Dwyer (born 1947) is an American mathematician specializing in algebraic topology and group theory. For many years he was a professor at...

De Witt Lee Sumners is an American mathematician, having been the Robert O. Lawton Distinguished Professor at Florida State University. He is known for...

Sze-Tsen Hu (Chinese: 胡世楨; pinyin: Hú Shìzhēn; Wade–Giles: Hu Shih-chen; 9 October 1914 – 6 May 1999), also known as Steve Hu, was a Chinese-American mathematician...

Sidney "Sid" Morris (born 1947) is an Emeritus Professor at Federation University Australia who worked in the fields of mathematics and information technology...

Richard Douglas Canary (born in 1962) is an American mathematician working mainly on low-dimensional topology. He is a professor at the University of Michigan...

Jeffrey Henderson Smith is a former professor of mathematics at Purdue University in Lafayette, Indiana. He received his Ph.D. from the Massachusetts Institute...

Max Wilhelm Dehn (November 13, 1878 – June 27, 1952) was a German mathematician most famous for his work in geometry, topology and geometric group theory...

Ruth Michele Charney (born 1950) is an American mathematician known for her work in geometric group theory and Artin groups. Other areas of research include...

sculptures. This led to contact with several art collectors and with the topologist Ronnie Brown. He and John collaborated in designing an exhibition of 13...

Jon Peter May (born September 16, 1939) is an American mathematician working in the fields of algebraic topology, category theory, homotopy theory, and...

Peter Steven Landweber (born August 17, 1940, in Washington D. C.) is an American mathematician working in algebraic topology. Landweber studied at the...

Goro Nishida (西田 吾郎, Nishida Gorō; 18 September 1943, in Osaka – 2 June 2014) was a Japanese mathematician. He was a leading member of the Japanese school...

Józef Henryk Przytycki (/ˈjuːsəf pʃəˈtɪski/, Polish: [ˈjuzɛf pʂɨˈtɨt͡skʲi]; born 14 October 1953), is a Polish mathematician specializing in knot theory...

Valentin Alexandre Poénaru (born 1932 in Bucharest) is a Romanian–French mathematician. He was a Professor of Mathematics at University of Paris-Sud, specializing...

Deane Montgomery (September 2, 1909 – March 15, 1992) was an American mathematician specializing in topology who was one of the contributors to the final...

Dieter Kotschick (born 1963) is a German mathematician, specializing in differential geometry and topology. At age fifteen, Kotschick moved from Transylvania...

Vesna Stojanoska is a mathematician whose research focuses on stable homotopy theory, chromatic homotopy theory, Serre duality, and related topics in algebraic...

murder convict Mary Ellen Rudin (1924–2013), American mathematician and topologist Samuel Rudin (1896–1975), American real estate developer Scott Rudin (born...

Arthur Harold Stone (30 September 1916 – 6 August 2000) was a British mathematician, born in London, who worked at the universities of Manchester and Rochester...

students who finished their doctorates at the same time became the first topologists to earn a doctorate at Auckland. After postdoctoral research, funded...

Guy Hirsch (20 September 1915 – 4 August 1993) was a Belgian mathematician and philosopher of mathematics, who worked on algebraic topology and epistemology...

William W. Menasco is a topologist and a professor at the University at Buffalo. He is best known for his work in knot theory. Menasco received his B.A...

(b. 1940), underwater acoustics specialist. Richard Lashof (b. 1922), topologist. 9 February – Albert Kligman (b. 1916), controversial dermatologist, discovered...

Hendrik W. Lenstra Modelling finite fields 2008 Michael J. Hopkins How topologists count things 2007 Stefan Hildebrandt [de] Euler und die Analysis 2006...

Isaac Namioka (April 25, 1928 – September 25, 2019) was a Japanese-American mathematician who worked in general topology and functional analysis. He was...

the Leslie Fox Prize for Numerical Analysis Sir Christopher Zeeman – topologist; exponent of catastrophe theory; founding professor of mathematics; former...

Topologist...

Alice Turner Schafer (June 18, 1915 – September 27, 2009) was an American mathematician. She was one of the founding members of the Association for Women...

Bernardo Uribe Jongbloed (born 1975) is a Colombian mathematician. Uribe's research deals with algebraic geometry and topology with string theory applications...

Wolfgang Lück (born 19 February 1957 in Herford) is a German mathematician who is an internationally recognized expert in algebraic topology. After receiving...

Nikolai V. Ivanov (Russian: Николай Владимирович Иванов; born 1954) is a Russian mathematician who works on topology, geometry and group theory (particularly...

Dror Bar-Natan (Hebrew: דרוֹר בָר-נָתָן; born January 30, 1966) is a professor at the University of Toronto Department of Mathematics, Canada. His main...

sets are combinatorially defined objects that lack any topology. Some topologists prefer instead to work with compactly generated weak Hausdorff spaces;...

be summarized in a limerick: The perfidious lemma of Dehn Was every topologist's bane       'Til Christos D. Pap-       akyriakop- oulos proved it without...

Meike Maria Elisabeth Akveld is a Swiss mathematician and textbook author, whose professional interests include knot theory, symplectic geometry, and mathematics...

Michael W. Davis (born April 26, 1949) is an American mathematician, author and academic. He is a Professor Emeritus of mathematics at the Ohio State University...

Richard Eliot Chamberlin (March 20, 1923 – March 14, 1994) was an American mathematician, specializing in geometric topology. Chamberlin was born on March...

Elon Lages Lima (July 9, 1929 – May 7, 2017) was a Brazilian mathematician whose research concerned differential topology, algebraic topology, and differential...

Kazimierz Kuratowski (Polish pronunciation: [kaˈʑimjɛʂ kuraˈtɔfskʲi]; 2 February 1896 – 18 June 1980) was a Polish mathematician and logician. He was one...

Moore space that is neither normal, paracompact, nor second countable. Topologist's sine curve Tychonoff plank Vague topology Warsaw circle List of natural...

and graduated with a BA in 1969. At Cambridge, he was a student of topologists Andrew Casson and John Frank Adams. He earned his doctoral degree in...

Samuel Carlos Gitler Hammer (July 14, 1933 – September 9, 2014) was a Mexican mathematician. He was an expert in Yang–Mills theory and is known for the...

Béla Kerékjártó (1 October 1898, in Budapest – 26 June 1946, in Gyöngyös) was a Hungarian mathematician who wrote numerous articles on topology. Kerékjártó...