List of second-generation mathematicians

This is a dynamic list and may never be able to satisfy particular standards for completeness. You can help by editing the page to add missing items, with references to reliable sources.

Math ability is passed from parent to child[1] with the most famous example being the Bernoulli family.[2] This second generation phenomenon also holds in physics[3] but in that field the Nobel Prize in Physics gives a tool for tracking it, since it has been given out for more than 120 years, and there are on average more than two Nobel Prizes in Physics given each year.[4] There is no comparable award in mathematics[5] but perusing (for example) the MacTutor History of Mathematics Archive[6] list of biographies enables the construction of a similar list of notable two-generation pairs of mathematicians.

The following is a list of parent-child pairs who both made contributions to mathematics significant enough to be noted in the citation for a prestigious prize, in an obituary in a major math journal, or in a similarly authoritative source. All are father-son except for Emmy Noether and Cathleen Morawetz. The list is in chronological order by birth date of the parent.

List

Parent Notable for Awards Child Notable for Awards
Johann Bernoulli L'Hôpital's rule
catenary
brachistochrone curve 		Daniel Bernoulli Bernoulli's principle
Gamma function
Jacopo Riccati Riccati equation Vincenzo Riccati Introduction of hyperbolic functions
Giulio Carlo de' Toschi di Fagnano Discovery of addition and multiplication formulas for arcs of lemniscate Giovanni Fagnano Fagnano's problem
Farkas Bolyai Wallace–Bolyai–Gerwien theorem Janos Bolyai Non-Euclidean geometry
Elie Cartan Structure of Lie groups
exterior algebra
moving frame 		Henri Cartan Cartan's theorems A and B
Projective module 		Émile Picard Medal
Wolf Prize
Max Noether Brill–Noether theory
Noether's formula
Noether inequality 		Emmy Noether Noether's theorem
Noetherian Property
Stanisław Zaremba Work in Mathematical analysis Stanisław Krystyn Zaremba Work on Low-discrepancy sequences
George David Birkhoff Ergodic Theorem Bocher Memorial Prize Garrett Birkhoff Universal algebra George David Birkhoff Prize
J. L. Synge Synge's theorem Cathleen Morawetz

Work on equations of mixed type, with its striking consequences for the theory of flow around airfoils, work on local energy decay for waves in the complement of an obstacle, and results concerning the existence of transonic flow with shocks. [7]

Leroy P. Steele Prize
Emil Artin Solved Hilbert's seventeenth problem
partially solved Hilbert's ninth problem 		Michael Artin Artin approximation theorem
Algebraic spaces 		Leroy P. Steele Prize
Wolf Prize
Petr Novikov Word problem for groups Sergei Novikov Adams–Novikov spectral sequence
Surgery theory 		Fields Medal
David Milman Krein–Milman theorem Vitali Milman Work in geometric measure theory
Concentration of measure 		Israel Prize in mathematics
David George Kendall

Statistical shape analysis

Fellow of the Royal Society Wilfrid Kendall

Work in Stochastic geometry
President of the Bernoulli Society (2013–2015)

Jacques-Louis Lions

Lions–Magenes lemma

John von Neumann Prize
Japan Prize 		Pierre-Louis Lions Viscosity solution Fields Medal
Takashi Ono Work in Number theory
Algebraic groups 		Ken Ono Work in Number theory Presidential Early Career Award for Scientists and Engineers
Joram Lindenstrauss

Johnson–Lindenstrauss lemma

Israel Prize
Stefan Banach Medal 		Elon Lindenstrauss major advance on Littlewood conjecture Fields Medal

See also

References

  1. ^ "Parents' math skills 'rub off' on their children". Retrieved 2025-04-09.
  2. ^ "The Bountiful Bernoullis of Basel". 6 October 2020. Retrieved 2025-04-09.
  3. ^ "4 Father-Son Nobel Prize Winners In Physics". Retrieved 2025-04-09.
  4. ^ "The Nobel Prize in Physics". Retrieved 2025-04-09.
  5. ^ "No Nobel Prize for Math". 2 March 2001. Retrieved 2025-04-09.
  6. ^ "MacTutor". Retrieved 2025-04-09.
  7. ^ "2004 Steele Prizes" (PDF). Notices of the American Mathematical Society. 51 (4): 424. April 2004.

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