List of second-generation mathematicians

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Math ability is passed from parent to child with the most famous example being the Bernoulli family. This second generation phenomenon also holds in physics 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. There is no comparable award in mathematics but perusing (for example) the MacTutor History of Mathematics Archive 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.	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

• List of second-generation physicists