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List of second-generation mathematicians

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This is adynamic list and may never be able to satisfy particular standards for completeness. You can help byediting the page to add missing items, with references toreliable sources.

Math ability is passed from parent to child[1]with the most famous example being theBernoulli family.[2]Thissecond generation phenomenon also holds in physics[3]but in that field theNobel 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) theMacTutor 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 forEmmy Noether andCathleen Morawetz. The list is in chronological order by birth date of the parent.

List

[edit]
ParentNotable forAwardsChildNotable forAwards
Johann BernoulliL'Hôpital's rule
catenary
brachistochrone curve
Daniel BernoulliBernoulli's principle
Gamma function
Jacopo RiccatiRiccati equationVincenzo RiccatiIntroduction of hyperbolic functions
Giulio Carlo de' Toschi di FagnanoDiscovery of addition and multiplication formulas for arcs of lemniscateGiovanni FagnanoFagnano's problem
Farkas BolyaiWallace–Bolyai–Gerwien theoremJanos Bolyai Non-Euclidean geometry
Elie CartanStructure of Lie groups
exterior algebra
moving frame
Henri CartanCartan's theorems A and B
Projective module
Émile Picard Medal
Wolf Prize
Max NoetherBrill–Noether theory
Noether's formula
Noether inequality
Emmy NoetherNoether's theorem
Noetherian Property
George David Birkhoff Ergodic TheoremBocher Memorial PrizeGarrett BirkhoffUniversal algebraGeorge David Birkhoff Prize
J. L. SyngeSynge's theoremCathleen 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 ArtinSolvedHilbert's seventeenth problem
partially solvedHilbert's ninth problem
Michael ArtinArtin approximation theorem
Algebraic spaces
Leroy P. Steele Prize
Wolf Prize
Petr NovikovWord problem for groupsSergei NovikovAdams–Novikov spectral sequence
Surgery theory
Fields Medal
Jacques-Louis Lions

Lions–Magenes lemma

John von Neumann Prize
Japan Prize
Pierre-Louis LionsViscosity solutionFields Medal
Joram Lindenstrauss

Johnson–Lindenstrauss lemma

Israel Prize
Stefan Banach Medal
Elon Lindenstraussmajor advance onLittlewood conjectureFields Medal

See also

[edit]

References

[edit]
  1. ^"Parents' math skills 'rub off' on their children". Retrieved2025-04-09.
  2. ^"The Bountiful Bernoullis of Basel". 6 October 2020. Retrieved2025-04-09.
  3. ^"4 Father-Son Nobel Prize Winners In Physics". Retrieved2025-04-09.
  4. ^"The Nobel Prize in Physics". Retrieved2025-04-09.
  5. ^"No Nobel Prize for Math". 2 March 2001. Retrieved2025-04-09.
  6. ^"MacTutor". Retrieved2025-04-09.
  7. ^"2004 Steele Prizes"(PDF).Notices of the American Mathematical Society.51 (4): 424. April 2004.
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