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Peter Lax
Hungarian-born American mathematician

Peter David Lax (born 1 May 1926) is a Hungarian-born American mathematician and Abel Prize laureate known for his significant contributions to mathematics, including areas such as integrable systems, fluid dynamics, shock waves, and scientific computing. His 1958 paper proposed the famous "Lax conjecture" concerning matrix representations of third order hyperbolic polynomials, which remained unresolved for over 40 years before being proven in 2003. Lax's work has had a lasting impact across both pure and applied mathematical disciplines.

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Life and education

Lax was born in Budapest, Hungary to a Jewish family.2 He began displaying an interest in mathematics at age twelve, and soon his parents hired Rózsa Péter as a tutor for him.3 His parents Klara Kornfield and Henry Lax were both physicians and his uncle Albert Kornfeld (also known as Albert Korodi) was a mathematician, as well as a friend of Leó Szilárd.

The family left Hungary on 15 November 1941, and traveled via Lisbon to the United States. As a high school student at Stuyvesant High School, Lax took no math classes but did compete on the school math team. During this time, he met with John von Neumann, Richard Courant, and Paul Erdős, who introduced him to Albert Einstein.

As he was still 17 when he finished high school, he could avoid military service, and was able to study for three semesters at New York University. He attended a complex analysis class in the role of a student, but ended up taking over as instructor. He met his future wife, Anneli Cahn (married to her first husband at that time) in this class.45

Before being able to complete his studies, Lax was drafted into the U.S. Army. After basic training, the Army sent him to Texas A&M University for more studies. He was then sent to Oak Ridge National Laboratory, and soon afterwards to the Manhattan Project at Los Alamos, New Mexico. At Los Alamos, he began working as a calculator operator, but eventually moved on to higher-level mathematics.6

After the war ended, he remained with the Army at Los Alamos for another year, while taking courses at the University of New Mexico, then studied at Stanford University for a semester with Gábor Szegő and George Pólya.7

Lax returned to NYU for the 1946–1947 academic year, and by pooling credits from the four universities at which he had studied, he graduated that year. He stayed at NYU for his graduate studies, marrying Anneli in 1948 and earning a PhD in 1949 under the supervision of Kurt O. Friedrichs.89

Lax holds a faculty position in the Department of Mathematics, Courant Institute of Mathematical Sciences, New York University.10

Awards and honors

He is a member of the Norwegian Academy of Science and Letters11 and the National Academy of Sciences, USA,12 the American Academy of Arts and Sciences,13 and the American Philosophical Society.14 He won a Lester R. Ford Award in 196615 and again in 1973.16 In 1974 his shock wave article17 also won the Chauvenet Prize. He was awarded the National Medal of Science in 1986, the Wolf Prize in 1987, the Abel Prize in 2005 and the Lomonosov Gold Medal in 2013.18 The American Mathematical Society selected him as its Gibbs Lecturer for 2007.19 In 2012 he became a fellow of the American Mathematical Society.20

Lax is listed as an ISI highly cited researcher.21 According to György Marx he was one of The Martians.22

Lax also received an Honorary Doctorate from Heriot-Watt University in 1990.23

The CDC 6600 incident

In 1970, as part of an anti-war protest, the Transcendental Students took hostage a CDC 6600 super computer at NYU's Courant Institute which Lax had been instrumental in acquiring; the students demanded $100,000 in ransom (equivalent to $810,000 in 2024) to provide bail for a member of the Black Panthers. Some of the students present attempted to destroy the computer with incendiary devices, but Lax and colleagues managed to disable the devices and save the machine.2425

Books

  • Calculus with Applications and Computing, with S. Burstein and A. Lax, Springer-Verlag, New York (1979).
  • Complex Proofs of Real Theorems, with Lawrence Zalcman, University Lecture Series, 2012; 90 pp; softcover, Volume: 58, ISBN 978-0-8218-7559-9
  • Decay of Solutions of Systems of Nonlinear Hyperbolic Conservation Laws, with J. Glimm, American Mathematical Society (1970).
  • Functional Analysis, Wiley-Interscience, New York (2002). (Review26)
  • Hyperbolic Partial Differential Equations, American Mathematical Society/Courant Institute of Mathematical Sciences (2006).
  • Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shock Waves, Society for Industrial Mathematics (1987).
  • Linear Algebra and Its Applications, 2nd ed., Wiley-Interscience, New York (2007).
  • Mathematical Aspects of Production and Distribution of Energy
  • Nonlinear Partial Differential Equations in Applied Science
  • Recent Advances in Partial Differential Equations
  • Recent Mathematical Methods in Nonlinear Wave Propagation, with G. Boillat, C. M. Dafermos, T.-P. Liu, and T. Ruggeri, Springer (1996).
  • Scattering Theory, with R. S. Phillips, Academic Press (1989), ISBN 0-12-440051-5.
  • Scattering Theory for Automorphic Functions with R. S. Phillips, Princeton Univ. Press (2001).
  • Lax, Peter D. (2005). Selected papers. Vol. I. Berlin, New York: Springer-Verlag. ISBN 978-0-387-22925-6. MR 2164867.27
  • Lax, Peter D. (2005). Selected papers. Vol. II. Berlin, New York: Springer-Verlag. ISBN 978-0-387-22926-3. MR 2164868.

See also

Notes

References

  1. Lewis, Adrian S.; Parrilo, Pablo A.; Ramana, Motakuri V. (2005). "The Lax conjecture is true". Proc. Amer. Math. Soc. 133 (9): 2495–2499. arXiv:math/0304104. doi:10.1090/S0002-9939-05-07752-X. MR 2146191. S2CID 17436983. /wiki/Proc._Amer._Math._Soc.

  2. "Peter Lax | Hungarian-American mathematician". https://www.britannica.com/biography/Peter-Lax

  3. Albers, Donald J.; Alexanderson, Gerald L.; Reid, Constance, eds. (1990), "Peter D. Lax", More Mathematical People, Harcourt Brace Jovanovich, pp. 138–159. /wiki/Gerald_L._Alexanderson

  4. Albers, Donald J.; Alexanderson, Gerald L.; Reid, Constance, eds. (1990), "Peter D. Lax", More Mathematical People, Harcourt Brace Jovanovich, pp. 138–159. /wiki/Gerald_L._Alexanderson

  5. Dreifus, Claudia (29 March 2005). "A Conversation with Peter Lax – From Budapest to Los Alamos, a Life in Mathematics". The New York Times. Retrieved 31 October 2007. /wiki/Claudia_Dreifus

  6. Hersh, Reuben (2015). Peter Lax, mathematician. Providence, Rhode Island: American Mathematical Society. p. 24. doi:10.1090/mbk/088. ISBN 978-1-4704-1708-6. MR 3243612. 978-1-4704-1708-6

  7. Albers, Donald J.; Alexanderson, Gerald L.; Reid, Constance, eds. (1990), "Peter D. Lax", More Mathematical People, Harcourt Brace Jovanovich, pp. 138–159. /wiki/Gerald_L._Alexanderson

  8. Albers, Donald J.; Alexanderson, Gerald L.; Reid, Constance, eds. (1990), "Peter D. Lax", More Mathematical People, Harcourt Brace Jovanovich, pp. 138–159. /wiki/Gerald_L._Alexanderson

  9. Dreifus, Claudia (29 March 2005). "A Conversation with Peter Lax – From Budapest to Los Alamos, a Life in Mathematics". The New York Times. Retrieved 31 October 2007. /wiki/Claudia_Dreifus

  10. "Peter D. Lax". math.nyu.edu. Retrieved 2 March 2023. https://math.nyu.edu/faculty/lax/

  11. "Gruppe 1: Matematiske fag" (in Norwegian). Norwegian Academy of Science and Letters. Retrieved 7 October 2010. http://www.dnva.no/c26849/artikkel/vis.html?tid=40116

  12. "Peter D. Lax". www.nasonline.org. Retrieved 13 December 2021. http://www.nasonline.org/member-directory/members/53419.html

  13. "Peter David Lax". American Academy of Arts & Sciences. Retrieved 13 December 2021. https://www.amacad.org/person/peter-david-lax

  14. "APS Member History". search.amphilsoc.org. Retrieved 13 December 2021. https://search.amphilsoc.org/memhist/search?creator=Peter+D.+Lax&title=&subject=&subdiv=&mem=&year=&year-max=&dead=&keyword=&smode=advanced

  15. Lax, Peter D. (1965). "Numerical solutions of partial differential equations". Amer. Math. Monthly. 72, Part II (2): 78–84. doi:10.2307/2313313. JSTOR 2313313. http://www.maa.org/programs/maa-awards/writing-awards/numerical-solutions-of-partial-differential-equations

  16. Lax, Peter D. (1972). "The formation and decay of shock waves". Amer. Math. Monthly. 79 (3): 227–241. doi:10.2307/2316618. JSTOR 2316618. http://www.maa.org/programs/maa-awards/writing-awards/the-formation-and-decay-of-shock-waves

  17. Lax, Peter D. (1972). "The formation and decay of shock waves". Amer. Math. Monthly. 79 (3): 227–241. doi:10.2307/2316618. JSTOR 2316618. http://www.maa.org/programs/maa-awards/writing-awards/the-formation-and-decay-of-shock-waves

  18. "Большая золотая медаль РАН имени М.В. Ломоносова". http://www.ras.ru/win/db/award_dsc.asp?P=id-1.ln-en

  19. Lax, Peter D. (2008). "Mathematics and physics". Bull. Amer. Math. Soc. 45 (1): 135–152. doi:10.1090/s0273-0979-07-01182-2. MR 2358380. https://doi.org/10.1090%2Fs0273-0979-07-01182-2

  20. List of Fellows of the American Mathematical Society, retrieved 2013-01-27. https://www.ams.org/profession/fellows-list

  21. Thomson ISI. "Lax, Peter D., ISI Highly Cited Researchers". Retrieved 20 June 2009. http://hcr3.isiknowledge.com/author.cgi?&link1=Browse&link2=Results&id=3419

  22. A marslakók legendája - György Marx http://fizikaiszemle.hu/archivum/fsz9703/marsl.html

  23. "Heriot-Watt University Edinburgh: Honorary Graduates". www1.hw.ac.uk. Retrieved 4 April 2016. http://www1.hw.ac.uk/graduation/honorary-graduates.htm

  24. Philip Colella (26 April 2004). "Peter Lax". The History of Numerical Analysis and Scientific Computing. Society for Industrial and Applied Mathematics. /wiki/Philip_Colella

  25. Barron, James (7 December 2015). "The Mathematicians Who Saved a Kidnapped N.Y.U. Computer". The New York Times. https://www.nytimes.com/2015/12/07/nyregion/the-mathematicians-who-ended-the-kidnapping-of-an-nyu-computer.html

  26. Zhu, Meijun (2006). "Review: Functional analysis, by Peter D. Lax" (PDF). Bull. Amer. Math. Soc. (N.S.). 43 (1): 123–126. doi:10.1090/s0273-0979-05-01073-6. https://www.ams.org/journals/bull/2006-43-01/S0273-0979-05-01073-6/S0273-0979-05-01073-6.pdf

  27. Hersh, Reuben (2006). "Review of Selected papers of Peter Lax, Vol. I, edited by Peter Sarnak and Andrew Majda". Bull. Amer. Math. Soc. 43: 605–608. doi:10.1090/s0273-0979-06-01117-7. /wiki/Reuben_Hersh