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]
András Vasy | |
|---|---|
 Vasy in 1997 | |
| Born | 1969 (age 54–55) |
| Nationality | American, Hungarian |
| Alma mater | Massachusetts Institute of Technology |
| Awards | Alfred P. Sloan Research Fellowship (2002–2004) Clay Research Fellowship (2004–2006) Bôcher Prize (2017) |
| Scientific career | |
| Fields | Mathematics |
| Institutions | Massachusetts Institute of Technology Stanford University |
| Thesis | Propagation of singularities in three-body scattering (1997) |
| Doctoral advisor | Richard B. Melrose |
Education and career
editVasy 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
editVasy 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
editThe 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
edit- 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
edit- ^ a b c "2017 Bôcher Memorial Prize" (PDF). Notices of the AMS. 64 (4): 317–318. April 2017.
- ^ "András Vasy's Stanford Homepage". virtualmath1.stanford.edu. Retrieved October 13, 2024.
- ^ András Vasy in the Mathematics Genealogy Project
- ^ "25 faculty members earn tenure"
- ^ "List of past Sloan Fellows". Archived from the original on March 14, 2018. Retrieved November 19, 2016.
- ^ András Vasy Archived January 11, 2017, at the Wayback Machine, Clay Mathematics Institute
- ^ Scientific program, Seoul ICM 2014; slides from Vasy's 2014 ICM talk
- ^ Vasy, A. (2014). "Some recent advances in microlocal analysis" (PDF). Proceedings of the International Congress of Mathematicians-Seoul. Vol. 3. pp. 915–939.
- ^ "Andras Vasy to Receive 2017 AMS Bôcher Prize"
- ^ András Vasy, "Propagation of singularities for the wave equation on manifolds with corners", Annals of Mathematics 168, 749–812 (2008)
- ^ 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)
- ^ 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)
- ^ 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)
- ^ 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)
- ^ Gunther Uhlmann and András Vasy, "The inverse problem for the local geodesic ray transform", Inventiones Mathematicae 205(1), pp. 83–120 (2016)
- ^ 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.