Oded Schramm
Oded Schramm | |
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Born | Jerusalem, Israel | December 10, 1961
Died | September 1, 2008 Washington, US | (aged 46)
Citizenship | Israeli and US |
Alma mater | |
Known for | |
Awards |
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Scientific career | |
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Doctoral advisor | William Thurston |
Oded Schramm (Hebrew: עודד שרם; December 10, 1961 – September 1, 2008) was an Israeli-American mathematician known for the invention of the Schramm–Loewner evolution (SLE) and for working at the intersection of conformal field theory and probability theory.[1][2]
Biography
Schramm was born in Jerusalem.[3] His father, Michael Schramm, was a biochemistry professor at the Hebrew University of Jerusalem.
He attended Hebrew University, where he received his bachelor's degree in mathematics and computer science in 1986 and his master's degree in 1987, under the supervision of Gil Kalai. He then received his PhD from Princeton University in 1990 under the supervision of William Thurston.
After receiving his doctorate, he worked for two years at the
He and his wife had two children, Tselil and Pele.[3] Tselil is an assistant professor of statistics at Stanford University.[4]
On September 1, 2008, Schramm fell to his death while scrambling Guye Peak, north of Snoqualmie Pass in Washington.[3][5][6]
Research
A constant theme in Schramm's research was the exploration of relations between discrete models and their continuous scaling limits, which for a number of models turn out to be
Schramm's most significant contribution was the invention of
If Dr. Schramm had been born three weeks and a day later, he would almost certainly have been one of the winners of the Fields Medal, perhaps the highest honor in mathematics, in 2002.
Schramm's doctorate[10] was in complex analysis, but he made contributions in many other areas of pure mathematics, although self-taught in those areas. Frequently he would prove a result by himself before reading the literature to obtain an appropriate credit. Often his proof was original or more elegant than the original.[11]
Besides conformally invariant planar processes and SLE, he made fundamental contributions to several topics:[9]
- Circle packings and discrete conformal geometry.
- Embeddings of Gromov hyperbolic spaces.
- minimal spanning trees and forests, harmonic functions on Cayley graphs of infinite finitely generated groups (especially non-amenable groups) and the hyperbolic plane.
- Limits of sequences of finite graphs.
- Noise sensitivity of Boolean functions, with applications to dynamical percolation.
- Random turn games (e.g. random turn hex) and the infinity Laplacian equation.
- Random permutations.
Awards and honors
- Erdős Prize (1996)[12]
- Salem Prize (2001)[13]
- Clay Research Award (2002),[14] for his work in combining analytic power with geometric insight in the field of random walks, percolation, and probability theory in general, especially for formulating stochastic Loewner evolution. His work opens new doors and reinvigorates research in these fields. [14]
- Loève Prize (2003)
- Henri Poincaré Prize (2003),[15] For his contributions to discrete conformal geometry, where he discovered new classes of circle patterns described by integrable systems and proved the ultimate results on convergence to the corresponding conformal mappings, and for the discovery of the Stochastic Loewner Process as a candidate for scaling limits in two dimensional statistical mechanics.[16]
- Gregory Lawler and Wendelin Werner, for groundbreaking work on the development and application of stochastic Loewner evolution (SLE). Of particular note is the rigorous establishment of the existence and conformal invariance of critical scaling limits of a number of 2D lattice models arising in statistical physics. [18]
- Ostrowski Prize (2007)
- Elected in 2008 as a foreign member of the Royal Swedish Academy of Sciences.[19]
Selected publications
- Schramm, Oded (2000), "Scaling limits of loop-erased random walks and uniform spanning trees", S2CID 17164604. Schramm's paper introducing the Schramm–Loewner evolution.
- Schramm, Oded (2007), "Conformally invariant scaling limits: an overview and a collection of problems", International Congress of Mathematicians. Vol. I, Eur. Math. Soc., Zürich, pp. 513–543, MR 2334202
- Schramm, Oded (2011), MR 2885266
References
- ^ "Clay Mathematics Institute". Archived from the original on 2008-08-29. Retrieved 2008-09-12.
- MR 2129588
- ^ New York Times
- ^ "Tselil Schramm". Tselil Schramm. Retrieved 2022-09-04.
- ^ Gutierrez, Scott (September 3, 2008), "Rescuers recover hiker's body near Cascades' Guye Peak", Seattle Post-Intelligencer
- Seattle Times, September 4, 2008, archived from the originalon September 22, 2008
- S2CID 16037415
- S2CID 119655247
- ^ a b "Oded Schramm's publications on Google Scholar".
- Bibcode:2007PhDT.......441S. Modified version of Schramm's Ph.D. thesis from 1990.
- Daily Telegraph, September 19, 2008
- Technion.
- ^ Kehoe, Elaine (2001), "Schramm and Smirnov Awarded 2001 Salem Prize" (PDF), Notices of the American Mathematical Society, 48 (8): 831
- ^ a b "Clay Research Award citation: Oded Schramm". Clay Mathematics Institute. Archived from the original on 2008-08-29. Retrieved 2008-09-04.
- ^ "The Henri Poincaré Prize". International Association of Mathematical Physics. Retrieved 2008-09-04.
- ^ "Henri Poincaré Prize of the IAMP" (PDF). International Association of Mathematical Physics.
- ^ "Gregory F. Lawler, Oded Schramm and Wendelin Werner receive George Polya Prize in Boston". Society for Industrial and Applied Mathematics. 2006-04-20. Archived from the original on 2009-05-04. Retrieved 2008-09-04.
- ^ "2006 Prizes and Awards Luncheon – SIAM Annual Meeting – July 11, 2006". SIAM.
- ^ "About Microsoft Research: Awards". Microsoft. Retrieved 2008-09-12.
External links
- Tutorial: SLE, video of MSRI lecture given jointly by Schramm, Lawler and Werner in the special session at the Lawrence Hall of Science, University of California, Berkeleyin May 2001.
- Conformally Invariant Scaling Limits and SLE, MSRIpresentation by Oded Schramm, May 2001.
- Terence Tao, "Oded Schramm".
- Publication list
- Oded Schramm at the Mathematics Genealogy Project
- Oded Schramm Memorial page
- Oded Schramm Memorial blog
- Oded Schramm Memorial Workshop – August 30–31, 2009 at Microsoft Research
- Oded Schramm obituary in the IMS Bulletin
- O'Connor, John J.; Robertson, Edmund F., "Oded Schramm", MacTutor History of Mathematics Archive, University of St Andrews