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Wendelin Werner is a German-born French mathematician working on random processes such as self-avoiding random walks, Brownian motion, Schramm–Loewner evolution, and related theories in probability theory and mathematical physics. In 2006, at the 25th International Congress of Mathematicians in Madrid, Spain he received the Fields Medal "for his contributions to the development of stochastic Loewner evolution, the geometry of two-dimensional Brownian motion, and conformal field theory". He is a professor at ETH Zürich until May 2023, after which he will take up a professorship at the University of Cambridge.
In probability theory, the Schramm–Loewner evolution with parameter κ, also known as stochastic Loewner evolution (SLEκ), is a family of random planar curves that have been proven to be the scaling limit of a variety of two-dimensional lattice models in statistical mechanics. Given a parameter κ and a domain in the complex plane U, it gives a family of random curves in U, with κ controlling how much the curve turns. There are two main variants of SLE, chordal SLE which gives a family of random curves from two fixed boundary points, and radial SLE, which gives a family of random curves from a fixed boundary point to a fixed interior point. These curves are defined to satisfy conformal invariance and a domain Markov property.
Oded Schramm 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.
David John Aldous FRS is a mathematician known for his research on probability theory and its applications, in particular in topics such as exchangeability, weak convergence, Markov chain mixing times, the continuum random tree and stochastic coalescence. He entered St. John's College, Cambridge, in 1970 and received his Ph.D. at the University of Cambridge in 1977 under his advisor, D. J. H. Garling. Aldous was on the faculty at University of California, Berkeley from 1979 until his retirement in 2018.
Gregory Francis Lawler is an American mathematician working in probability theory and best known for his work since 2000 on the Schramm–Loewner evolution.
The circle packing theorem describes the possible tangency relations between circles in the plane whose interiors are disjoint. A circle packing is a connected collection of circles whose interiors are disjoint. The intersection graph of a circle packing is the graph having a vertex for each circle, and an edge for every pair of circles that are tangent. If the circle packing is on the plane, or, equivalently, on the sphere, then its intersection graph is called a coin graph; more generally, intersection graphs of interior-disjoint geometric objects are called tangency graphs or contact graphs. Coin graphs are always connected, simple, and planar. The circle packing theorem states that these are the only requirements for a graph to be a coin graph:
The Rollo Davidson Prize is a prize awarded annually to early-career probabilists by the Rollo Davidson trustees. It is named after English mathematician Rollo Davidson (1944–1970).
Geoffrey Richard GrimmettOLY is a mathematician known for his work on the mathematics of random systems arising in probability theory and statistical mechanics, especially percolation theory and the contact process. He is the Professor of Mathematical Statistics in the Statistical Laboratory, University of Cambridge, and was the Master of Downing College, Cambridge, from 2013 to 2018.
Stanislav Konstantinovich Smirnov is a Russian mathematician currently working at the University of Geneva. He was awarded the Fields Medal in 2010. His research involves complex analysis, dynamical systems and probability theory.
Imre Bárány is a Hungarian mathematician, working in combinatorics and discrete geometry. He works at the Rényi Mathematical Institute of the Hungarian Academy of Sciences, and has a part-time appointment at University College London.
Sourav Chatterjee is an Indian mathematician, specializing in mathematical statistics and probability theory. Chatterjee is credited with work on the study of fluctuations in random structures, concentration and super-concentration inequalities, Poisson and other non-normal limits, first-passage percolation, Stein's method and spin glasses. He has received a Sloan Fellowship in mathematics, Tweedie Award, Rollo Davidson Prize, Doeblin Prize, Loève Prize, and Infosys Prize in mathematical sciences. He was an invited speaker at the International Congress of Mathematicians in 2014.
Bálint Virág is a Hungarian mathematician working in Canada, known for his work in probability theory, particularly determinantal processes, random matrix theory, and random walks and other probabilistic questions on groups. He received his Ph.D. from U.C. Berkeley in 2000, under the direction of Yuval Peres, and was a post-doc at MIT. Since 2003 he has been a Canada research chair at the University of Toronto.
Scott Sheffield is a professor of mathematics at the Massachusetts Institute of Technology. His primary research field is theoretical probability.
Alain-Sol Sznitman is a French and Swiss mathematician who works as a professor of mathematics at ETH Zurich. His research concerns probability theory and mathematical physics.
Gady Kozma is an Israeli mathematician. Kozma obtained his PhD in 2001 at the University of Tel Aviv with Alexander Olevskii. He is a scientist at the Weizmann Institute. In 2005, he demonstrated the existence of the scaling limit value of the loop-erased random walk in three dimensions and its invariance under rotations and dilations.
Ivan Zachary Corwin is a professor of mathematics at Columbia University.
Nike Sun is a probability theorist who works as an associate professor of mathematics at the Massachusetts Institute of Technology, on leave from the department of statistics at the University of California, Berkeley. She won the Rollo Davidson Prize in 2017. Her research concerns phase transitions and the counting complexity of problems ranging from the Ising model in physics to the behavior of random instances of the Boolean satisfiability problem in computer science.
Russell David Lyons is an American mathematician, specializing in probability theory on graphs, combinatorics, statistical mechanics, ergodic theory and harmonic analysis.
Jason Peter Miller is an American mathematician, specializing in probability theory.
References
- ↑ "Prof. Itai Benjamini", Honors and Awards, Weizmann Wonder Wander: News, Features and Discoveries from the Weizmann Institute, Weizmann Institute, archived from the original on 2015-07-25, retrieved 2015-11-01; The Faculty of Mathematics, Weizmann Institute, retrieved 2015-11-01.
- ↑ Itai Benjamini at the Mathematics Genealogy Project
- ↑ "Holroyd and Benjamini Awarded Rollo Davidson Prizes" (PDF), Mathematics People, Notices of the AMS , 51 (6): 661, June–July 2004.
- ↑ Honors and Prizes to Faculty Members, Department of Mathematics, Weizmann Institute of Science, archived from the original on 2016-12-20, retrieved 2015-11-01.
- ↑ ICM Plenary and Invited Speakers since 1897, International Mathematical Union, archived from the original on 2017-11-24, retrieved 2015-11-01.
