List of second-generation mathematicians

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 forAwards Johann Bernoulli L'Hôpital's rulecatenarybrachistochrone curve Daniel Bernoulli Bernoulli's principleGamma 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 János Bolyai Non-Euclidean geometry Elie Cartan Structure of Lie groupsexterior algebramoving frame Henri Cartan Cartan's theorems A and BProjective moduleÉmile Picard MedalWolf Prize Max Noether Brill–Noether theory Noether's formula Noether inequality Emmy Noether Noether's theorem Noetherian Property Frank Morley Morley's trisector theorem Frank Vigor Morley Inversive Geometry (1933) Stanisław Zaremba Work in Mathematical analysis Stanisław Krystyn Zaremba Work on Low-discrepancy sequences George David Birkhoff Ergodic TheoremBocher Memorial Prize Garrett Birkhoff Universal algebraGeorge David Birkhoff PrizePaul LévyLévy processMarie-Hélène Schwartz 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 problempartially solved Hilbert's ninth problem Michael Artin Artin approximation theorem Algebraic spacesLeroy P. Steele PrizeWolf Prize Petr Novikov Word problem for groups Sergei Novikov Adams–Novikov spectral sequence Surgery theoryFields Medal Bernhard Neumann Partial operations in universal algebra Adams Prize Peter M. Neumann Solution of Alhazen's problem Senior Whitehead Prize David Crighton 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 analysisFellow of the Royal Society Wilfrid Kendall Work in Stochastic geometry President of the Bernoulli Society (2013–2015) Jacques-Louis Lions Lions–Magenes lemmaJohn von Neumann PrizeJapan Prize Pierre-Louis Lions Viscosity solutionFields 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 lemmaIsrael PrizeStefan Banach Medal Elon Lindenstrauss major advance on Littlewood conjectureFields Medal

See also List of second-generation physicists

References