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Fields Medallist Vladmir Voevodsky was born on June 4, 1966, in Russia. He received his B.S. in mathematics from Moscow State University (1989) and his Ph.D. in mathematics from Harvard (1992). He held visiting positions at the Institute for Advanced Study in Princeton, Harvard University and Max-Planck-Institut fur Matematik before joining the faculty of Northwestern University in 1996. In 2002 he was named a permanent professor in the School of Mathematics at the Institute for Advanced Study in Princeton. He was awarded 2002 Fields Medal at the 24th International Congress of Mathematicians in Beijing for developing a new cohomology theory for algebraic varieties. The last lead to the proof of Milnor's and recently of Bloch Kato conjectures. Voevodsky, whose field within mathematics is algebraic geometry, is known for his work in the homology theory of schemes, algebraic K-theory, and interrelations between algebraic geometry and algebraic topology. He has been concerned with a synthesis of algebraic geometry and homotopy theory, two major branches of modern mathematics. His interest has moved recently to Math Biology. |
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LECTURE Abstract: In this lecture I will tell about my recent work on probability theory concentrating on its applications to the problem of historic inference in population genetics. In recent years there was a lot of publications where the present day genetic composition of the humanity was used to make guesses about history. These guesses are usually hard to evaluate because they are made using mathematical models originally developed for completely different purposes. I will describe a model world of "singletons" where the questions about the relationship between the (non-recombinant) genetic data and the past population dynamics can be rigorously formulated and studied. We will see in particular that even in the context of this very simple model, making meaningful inferences about the past requires the genetic data from samples of a fairly large size. This suggests that many of the guesses made today on the basis of small samples of real world populations will change considerable as more data becomes available. |
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