Vladimir Alexandrovich Voevodsky was a Russian-American mathematician. His work in developing a homotopy theory for algebraic varieties and formulating motivic cohomology led to the award of a Fields Medal in 2002. He is also known for the proof of the Milnor conjecture and motivic Bloch–Kato conjectures and for the univalent foundations of mathematics and homotopy type theory.
John Torrence Tate Jr. was an American mathematician distinguished for many fundamental contributions in algebraic number theory, arithmetic geometry, and related areas in algebraic geometry. He was awarded the Abel Prize in 2010.
Daniel Gray Quillen was an American mathematician. He is known for being the "prime architect" of higher algebraic K-theory, for which he was awarded the Cole Prize in 1975 and the Fields Medal in 1978.
Yum-Tong Siu is a Chinese mathematician. He is the William Elwood Byerly Professor of Mathematics at Harvard University.
Andrei Yuryevich Okounkov is a Russian mathematician who works on representation theory and its applications to algebraic geometry, mathematical physics, probability theory and special functions. He is currently a professor at the Columbia University and the academic supervisor of HSE International Laboratory of Representation Theory and Mathematical Physics. In 2006, he received the Fields Medal "for his contributions to bridging probability, representation theory and algebraic geometry."
William Edgar Fulton is an American mathematician, specializing in algebraic geometry.
Albert Nijenhuis was a Dutch-American mathematician who specialized in differential geometry and the theory of deformations in algebra and geometry, and later worked in combinatorics.
Burt James Totaro, FRS, is an American mathematician, currently a professor at the University of California, Los Angeles, specializing in algebraic geometry and algebraic topology.
Paul Monsky is an American mathematician and professor at Brandeis University.
In mathematics, rigid cohomology is a p-adic cohomology theory introduced by Berthelot (1986). It extends crystalline cohomology to schemes that need not be proper or smooth, and extends Monsky–Washnitzer cohomology to non-affine varieties. For a scheme X of finite type over a perfect field k, there are rigid cohomology groups Hi
rig(X/K) which are finite dimensional vector spaces over the field K of fractions of the ring of Witt vectors of k. More generally one can define rigid cohomology with compact supports, or with support on a closed subscheme, or with coefficients in an overconvergent isocrystal. If X is smooth and proper over k the rigid cohomology groups are the same as the crystalline cohomology groups.
In algebraic geometry, Monsky–Washnitzer cohomology is a p-adic cohomology theory defined for non-singular affine varieties over fields of positive characteristic p introduced by Paul Monsky and Gerard Washnitzer, who were motivated by the work of Bernard Dwork. The idea is to lift the variety to characteristic 0, and then take a suitable subalgebra of the algebraic de Rham cohomology of Grothendieck (1966). The construction was simplified by van der Put (1986). Its extension to more general varieties is called rigid cohomology.
Jacob Alexander Lurie is an American mathematician who is a professor at the Institute for Advanced Study. In 2014, Lurie received a MacArthur Fellowship.
Gerhard Paul Hochschild was a German-born American mathematician who worked on Lie groups, algebraic groups, homological algebra and algebraic number theory.
William Messing is an American mathematician who works in the field of arithmetic algebraic geometry.
Peter Steven Landweber is an American mathematician working in algebraic topology.
Alejandro Adem is a professor in the Department of Mathematics at the University of British Columbia and President of the Natural Sciences and Engineering Research Council of Canada. Previously he was Director of the Pacific Institute for the Mathematical Sciences for the period 2008–2015 and during 2015-2019 was the CEO and Scientific Director of Mitacs.
Mark Lee Green is an American mathematician, who does research in commutative algebra, algebraic geometry, Hodge theory, differential geometry, and the theory of several complex variables. He is known for Green's Conjecture on syzygies of canonical curves.
Daniel Zelinsky was an American mathematician, specializing in algebra.
Bhargav Bhatt is an Indian-American mathematician who is the Fernholz Joint Professor at the Institute for Advanced Study and Princeton University and works in arithmetic geometry and commutative algebra.
Will Sawin is the Fernholz Professor of Mathematics at Princeton University specialising in number theory and algebraic geometry.
The original article was the translation (yahoo) of the corresponding German article.
