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Oded Schramm
please note:
- the content below is remote from Wikipedia
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{{short description|Israeli mathematician}}- the content below is remote from Wikipedia
- it has been imported raw for GetWiki
factoids | |
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- ErdÅ‘s Prize (1996)
- Salem Prize (2001)
- Clay Research Award (2002)
- LoÃ¨ve Prize (2003)
- Henri PoincarÃ© Prize (2003)
- George PÃ³lya Prize (2006)
- Ostrowski Prize (2007)
Biography
Schramm was born in Jerusalem. 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 Ph.D. from Princeton University in 1990 under the supervision of William Thurston.After receiving his doctorate, he worked for two years at the University of California, San Diego, and then had a permanent position at the Weizmann Institute from 1992 to 1999. In 1999 he moved to the Theory Group at Microsoft Research in Redmond, Washington, where he remained for the rest of his life.He and his wife had two children, Tselil and Pele.On September 1, 2008, Schramm fell to his death while solo climbing Guye Peak, north of Snoqualmie Pass in Washington.{{citation
| last = Chang | first = Kenneth
| date = September 10, 2008
| journal = New York Times
| title = Oded Schramm, 46, Mathematician, Is Dead
| url =weblink}}{{citation
| last = Gutierrez | first = Scott
| date = September 3, 2008
| journal = Seattle Post-Intelligencer
| title = Rescuers recover hiker's body near Cascades' Guye Peak
| url =weblink}}{{citation
|date = September 4, 2008
|journal = Seattle Times
|title = Accomplished Microsoft mathematician died in hiking accident
|url =weblink
|url-status = dead
|archiveurl =weblink" title="web.archive.org/web/20080922113114weblink">weblink
|archivedate = September 22, 2008
}}| date = September 10, 2008
| journal = New York Times
| title = Oded Schramm, 46, Mathematician, Is Dead
| url =weblink}}{{citation
| last = Gutierrez | first = Scott
| date = September 3, 2008
| journal = Seattle Post-Intelligencer
| title = Rescuers recover hiker's body near Cascades' Guye Peak
| url =weblink}}{{citation
|date = September 4, 2008
|journal = Seattle Times
|title = Accomplished Microsoft mathematician died in hiking accident
|url =weblink
|url-status = dead
|archiveurl =weblink" title="web.archive.org/web/20080922113114weblink">weblink
|archivedate = September 22, 2008
Research
right|thumb|180px|An illustration by Schramm.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 conformally invariant.Schramm's most significant contribution was the invention of Schrammâ€“Loewner evolution, a tool which has paved the way for mathematical proofs of conjectured scaling limit relations{{citation|title=Critical percolation in finite geometries|first=John|last= Cardy|authorlink=John Cardy|year= 1992| journal=J. Phys. A: Math. Gen.|volume= 25|pages= L201â€“L206|url=http://www.iop.org/EJ/abstract/0305-4470/25/4/009/|doi=10.1088/0305-4470/25/4/009|bibcode=1992JPhA...25L.201C|arxiv = hep-th/9111026|issue=4|mr=1151081}}{{citation |url=http://www.iop.org/EJ/article/0305-4470/35/41/102/a241l2.html|first=John|last=Cardy|authorlink=John Cardy|journal=J. Phys. A: Math. Gen.|volume= 35 |pages= L565â€“L572|year=2002|title=Crossing formulae for critical percolation in an annulus |doi=10.1088/0305-4470/35/41/102 |issue=41|mr=1946958|arxiv=math-ph/0208019|bibcode=2002math.ph...8019C}} on models from statistical mechanics such as self-avoiding random walk and percolation. This technique has had a profound impact on the field. It has been recognized by many awards to Schramm and others, including a Fields Medal to Wendelin Werner, who was one of Schramm's principal collaborators, along with Gregory Lawler. The New York Times wrote in his obituary:Schramm's doctorate{{citation | title=Combinatorically Prescribed Packings and Applications to Conformal and Quasiconformal Maps|format=modified version of Schramm's Ph.D. thesis from 1990|year=2007|first=Oded|last=Schramm|arxiv=0709.0710|bibcode = 2007PhDT.......441S | volume=0709 | pages=710 }}. 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.{{citation
| date = September 19, 2008
| journal = Daily Telegraph
| title = Mathematician who made a significant contribution to the study of probability and fractals
| url =weblink}}
Besides conformally invariant planar processes and SLE, he made fundamental contributions to several topics:WEB, Oded Schramm's publications on Google Scholar,weblink | journal = Daily Telegraph
| title = Mathematician who made a significant contribution to the study of probability and fractals
| url =weblink}}
- Circle packings and discrete conformal geometry.
- Embeddings of Gromov hyperbolic spaces.
- Percolation, uniform and 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
- ErdÅ‘s Prize (1996)The Anna and Lajos ErdÅ‘s Prize in Mathematics, Technion.
- Salem Prize (2001){{citation|url=http://www.ams.org/notices/200108/people.pdf|title=Schramm and Smirnov Awarded 2001 Salem Prize|last=Kehoe|first=Elaine|journal=Notices of the American Mathematical Society|volume=48|year=2001|issue=8|pages=831}}
- Clay Research Award (2002),WEB,weblink Clay Research Award citation: Oded Schramm, Clay Mathematics Institute, 2008-09-04, 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.
- LoÃ¨ve Prize (2003)
- Henri PoincarÃ© Prize (2003),WEB,weblink The Henri PoincarÃ© Prize, International Association of Mathematical Physics, 2008-09-04, 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.WEB,weblink Henri PoincarÃ© Prize of the IAMP, International Association of Mathematical Physics,
- SIAM George PÃ³lya Prize (2006),WEB,weblink Gregory F. Lawler, Oded Schramm and Wendelin Werner receive George Polya Prize in Boston, Society for Industrial and Applied Mathematics, 2006-04-20, 2008-09-04, with 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. WEB,weblink 2006 Prizes and Awards Luncheon â€“ SIAM Annual Meeting â€“ July 11, 2006, Society for Industrial and Applied Mathematics, SIAM,
- Ostrowski Prize (2007)
- Elected in 2008 as a foreign member of the Royal Swedish Academy of Sciences.WEB, About Microsoft Research: Awards, 2008-09-12,weblink Microsoft,
Selected publications
- {{Citation | last1=Schramm | first1=Oded | title=Scaling limits of loop-erased random walks and uniform spanning trees | arxiv=math.PR/9904022 | mr=1776084 | year=2000 | journal=Israel Journal of Mathematics | volume=118 | pages=221â€“288 | doi=10.1007/BF02803524}}. Schramm's paper introducing the Schrammâ€“Loewner evolution.
- {{Citation | last1=Schramm | first1=Oded | title=International Congress of Mathematicians. Vol. I | publisher=Eur. Math. Soc., ZÃ¼rich | mr=2334202 | year=2007 | chapter=Conformally invariant scaling limits: an overview and a collection of problems | pages=513â€“543|arxiv=math/0602151|isbn= 978-3-03719-022-7 |bibcode = 2006math......2151S | doi=10.4171/022-1/20}}
- {{citation|mr=2885266 |last=Schramm|first= Oded
References
{{reflist|30em}}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, Berkeley in May 2001.
- Conformally Invariant Scaling Limits and SLE, MSRI presentation by Oded Schramm, May 2001.
- Terence Tao, "Oded Schramm".
- Publication list
- {{MathGenealogy |id=18911}}
- Oded Schramm Memorial page
- Oded Schramm Memorial blog
- Oded Schramm Memorial Workshop â€“ August 30â€“31, 2009 at Microsoft Research
- weblink" title="web.archive.org/web/20100507175957weblink">Oded Schramm obituary in the IMS Bulletin
- {{MacTutor Biography|id=Schramm}}
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