| 词条 | Scott Sheffield |
| 释义 |
|name = Scott Sheffield |image = Scott Sheffield.jpg |image_size = |caption = |birth_date = {{birth date and age|1973|10|20}} |birth_place = |death_date = |death_place = |nationality = American |ethnicity = |fields = Mathematician |workplaces = |alma_mater = Stanford University |doctoral_advisor = Amir Dembo |academic_advisors = |doctoral_students = |notable_students = |known_for = |author_abbrev_bot = |author_abbrev_zoo = |influences = |influenced = |awards = Loève Prize (2011) Rollo Davidson Prize (2006) Clay Research Award (2017) |signature = |footnotes = }} Scott Sheffield (born October 20, 1973) is a professor of mathematics at the Massachusetts Institute of Technology.[1] His primary research field is theoretical probability. ResearchMuch of Sheffield's work examines conformal invariant objects which arise in the study of two-dimensional statistical physics models. He studies the Schramm-Loewner evolution SLE(κ) and its relations to a variety of other random objects. For example, he proved that SLE describes the interface between two Liouville quantum gravity surfaces that have been conformally welded together.[2] In joint work with Oded Schramm, he showed that contour lines of the Gaussian free field are related to SLE(4).[3][4] With Jason Miller, he developed the theory of Gaussian free field flow lines, which include SLE(κ) for all values of κ, as well as many variants of SLE.[5] Sheffield and Bertrand Duplantier proved the Knizhnik-Polyakov-Zamolodchikov (KPZ) relation for fractal scaling dimensions in Liouville quantum gravity.[6] Sheffield also defined the conformal loop ensembles, which serve as scaling limits of the collection of all interfaces in various statistical physics models.[7] In joint work with Wendelin Werner, he described the conformal loop ensembles as the outer boundaries of clusters of Brownian loops.[8] In addition to these contributions, Sheffield has also proved results regarding internal diffusion limited aggregation, dimers, game theory, partial differential equations, and Lipschitz extension theory.[9] TeachingSince 2011, Sheffield has taught 18.600 (formally 18.440), the introductory probability course at MIT [10]. Education and careerSheffield graduated from Harvard University in 1998 with an A.B. and A.M. in mathematics. In 2003, he received his Ph.D. in mathematics from Stanford University. Before becoming a professor at MIT, Sheffield held postdoctoral positions at Microsoft Research, the University of California at Berkeley, and the Institute for Advanced Study. He was also an associate professor at New York University.[11] AwardsScott Sheffield received the Loève Prize, the Presidential Early Career Award for Scientists and Engineers, the Sloan Research Fellowship, and the Rollo Davidson Prize. He was also an invited speaker at the 2010 meeting of the International Congress of Mathematicians. In 2017 he received the Clay Research Award jointly with Jason Miller.[12] References1. ^http://math.mit.edu/people/profile.php?pid=243, MIT, retrieved 2013-23-08. {{Authority control}}{{DEFAULTSORT:Sheffield, Scott}}2. ^Conformal weldings of random surfaces: SLE and the quantum gravity zipper, Scott Sheffield, 2010, https://arxiv.org/abs/1012.4797 3. ^Contour lines of the two-dimensional discrete Gaussian free field, Oded Schramm and Scott Sheffield, 2006, https://arxiv.org/abs/math/0605337 4. ^A contour line of the continuum Gaussian free field, Oded Schramm and Scott Sheffield, 2010, https://arxiv.org/abs/1008.2447 5. ^Imaginary Geometry I: Interacting SLEs, Jason Miller and Scott Sheffield, 2012, https://arxiv.org/abs/1201.1496 6. ^Liouville Quantum Gravity and KPZ, Bertrand Duplantier and Scott Sheffield, 2008, https://arxiv.org/abs/0808.1560 7. ^Exploration trees and conformal loop ensembles, Scott Sheffield, 2006, https://arxiv.org/abs/math/0609167 8. ^Conformal loop ensembles: the Markovian characterization and loop soup construction, Scott Sheffield and Wendelin Werner, 2010, https://arxiv.org/abs/1006.2374 9. ^2011 Loève Prize announcement, http://www.stat.berkeley.edu/users/aldous/Research/sheffield.pdf 10. ^http://math.mit.edu/~sheffield/teach.html 11. ^http://math.mit.edu/~sheffield/cv.html, MIT, retrieved 2013-23-08 12. ^Clay Research Award 2017 7 : 1973 births|Living people|20th-century American mathematicians|21st-century American mathematicians|Harvard University alumni|Probability theorists|Stanford University alumni |
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