András Vasy

András Vasy
Vasy in 1997
Born1969 (age 55–56)
Budapest[1]
NationalityAmerican, Hungarian
Alma materMassachusetts Institute of Technology
AwardsAlfred P. Sloan Research Fellowship (2002–2004)
Clay Research Fellowship (2004–2006)
Bôcher Prize (2017)
Scientific career
FieldsMathematics
InstitutionsMassachusetts Institute of Technology
Stanford University
Thesis Propagation of singularities in three-body scattering  (1997)
Doctoral advisorRichard B. Melrose

András Vasy (born 1969) is a Hungarian–American mathematician working in the areas of partial differential equations, microlocal analysis, scattering theory, and inverse problems. He is currently a professor of mathematics at Stanford University.[2]

Education and career

Vasy grew up in Budapest and attended Apáczai Csere János Gimnázium of the Eötvös Loránd University (ELTE). He then became a boarding-school student at the United World College of the Atlantic in Wales.[1] Vasy attended Stanford University, obtaining his BS in Physics and MS in mathematics in 1993. He received his PhD from MIT under the supervision of Richard B. Melrose in 1997.[3] Following his postdoctoral appointment at the University of California, Berkeley, he joined the MIT faculty as an assistant professor in 1999. He was awarded tenure at MIT in 2005[4] during a long-term stay at Northwestern University before moving to Stanford in 2006.

Awards and honors

Vasy was an Alfred P. Sloan Research Fellow from 2002 to 2004,[5] and a Clay Research Fellow from 2004 to 2006.[6] He was elected a Fellow of the American Mathematical Society in 2012. He was an invited speaker at the International Congress of Mathematicians in Seoul in 2014.[7][8] In 2017, he was awarded the Bôcher Prize of the American Mathematical Society.[9][1]

Research

The unifying feature of Vasy's work is the application of tools from microlocal analysis to problems in hyperbolic partial differential or pseudo-differential equations. He analyzed the propagation of singularities for solutions of wave equations on manifolds with corners[10] or more complicated boundary structures, partially in joint work with Richard Melrose and Jared Wunsch.[11] For his paper on a unified approach to scattering theory on asymptotically hyperbolic spaces and spacetimes arising in Einstein's theory of general relativity such as de Sitter space and Kerr-de Sitter spacetimes,[12] he was awarded the Bôcher Prize in 2017. This paper led to further advances, including the proof, by Vasy and Peter Hintz, of the global nonlinear stability of the Kerr-de Sitter family of black hole spacetimes,[13] and a new proof of Smale's conjecture for Anosov flows by Semyon Dyatlov and Maciej Zworski.[14] Vasy has also collaborated with Gunther Uhlmann on inverse problems for geodesic transforms.[15]

Books

  • Grieser, Daniel; Teufel, Stefan; Vasy, András, eds. (December 13, 2012). Microlocal Methods in Mathematical Physics and Global Analysis. Springer. ISBN 978-3-0348-0466-0.
  • Melrose, Richard B.; Vasy, András; Wunsch, Jared (2013). Diffraction of Singularities for the Wave Equation on Manifolds with Corners. Société mathématique de France. ISBN 978-2-85629-367-6.
  • Stefanov, Plamen; Vasy, A.; Zworski, Maciej, eds. (May 5, 2014). Inverse Problems and Applications: Conference on Inverse Problems, in Honor of Gunther Uhlmann, June 18-22, 2012, University of California, Irvine. American Mathematical Society. ISBN 978-1-4704-1079-7.
  • Vasy, András (December 21, 2015). Partial Differential Equations: An Accessible Route through Theory and Applications. American Mathematical Society. ISBN 978-1-4704-1881-6.[16]

References

  1. ^ a b c "2017 Bôcher Memorial Prize" (PDF). Notices of the AMS. 64 (4): 317–318. April 2017.
  2. ^ "András Vasy's Stanford Homepage". virtualmath1.stanford.edu. Retrieved October 13, 2024.
  3. ^ András Vasy in the Mathematics Genealogy Project
  4. ^ "25 faculty members earn tenure"
  5. ^ "List of past Sloan Fellows". Archived from the original on March 14, 2018. Retrieved November 19, 2016.
  6. ^ András Vasy Archived January 11, 2017, at the Wayback Machine, Clay Mathematics Institute
  7. ^ Scientific program, Seoul ICM 2014; slides from Vasy's 2014 ICM talk
  8. ^ Vasy, A. (2014). "Some recent advances in microlocal analysis" (PDF). Proceedings of the International Congress of Mathematicians-Seoul. Vol. 3. pp. 915–939.
  9. ^ "Andras Vasy to Receive 2017 AMS Bôcher Prize"
  10. ^ András Vasy, "Propagation of singularities for the wave equation on manifolds with corners", Annals of Mathematics 168, 749–812 (2008)
  11. ^ Jared Wunsch, András Vasy, and Richard B. Melrose, "Propagation of singularities for the wave equation on edge manifolds", Duke Math. J. 144(1), pp. 109–193 (2008)
  12. ^ András Vasy, "Microlocal analysis of asymptotically hyperbolic and Kerr-de Sitter spaces (with an appendix by Semyon Dyatlov)", Inventiones Mathematicae 194(2), pp. 381–513 (2013)
  13. ^ Peter Hintz and András Vasy, "The global non-linear stability of the Kerr–de Sitter family of black holes", Acta Mathematica 220(1), pp. 1–206 (2018)
  14. ^ Semyon Dyatlov and Maciej Zworski, "Dynamical zeta functions for Anosov flows via microlocal analysis", Annales scientifiques de l'ENS 49(3), pp. 543–577 (2016)
  15. ^ Gunther Uhlmann and András Vasy, "The inverse problem for the local geodesic ray transform", Inventiones Mathematicae 205(1), pp. 83–120 (2016)
  16. ^ Graham, Jason M. (February 29, 2016). "Review of Partial Differential Equations: An Accessible Route through Theory and Applications by András Vasy". MAA Review, Mathematical Association of America.