Algebraic topology is a branch of mathematics that uses tools from abstract algebra to study topological spaces. The basic goal is to find algebraic invariants that classify topological spaces up to homeomorphism,though usually most classify up to homotopy equivalence.
Jean-Pierre Serre is a French mathematician who has made contributions to algebraic topology,algebraic geometry and algebraic number theory. He was awarded the Fields Medal in 1954,the Wolf Prize in 2000 and the inaugural Abel Prize in 2003.
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.
Markus Rost is a German mathematician who works at the intersection of topology and algebra. He was an invited speaker at the International Congress of Mathematicians in 2002 in Beijing,China. He is a professor at the University of Bielefeld.
Jeff Cheeger is a mathematician and Silver Professor at the Courant Institute of Mathematical Sciences of New York University. His main interest is differential geometry and its connections with topology and analysis.
Alexander A. Beilinson is the David and Mary Winton Green University professor at the University of Chicago and works on mathematics. His research has spanned representation theory,algebraic geometry and mathematical physics. In 1999,Beilinson was awarded the Ostrowski Prize with Helmut Hofer. In 2017,he was elected to the National Academy of Sciences. In 2018,he received the Wolf Prize in Mathematics and in 2020 the Shaw Prize in Mathematics.
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.
Robert Leamon Bryant is an American mathematician. He works at Duke University and specializes in differential geometry.
Douglas Conner Ravenel is an American mathematician known for work in algebraic topology.
Mark Kisin is a mathematician known for work in algebraic number theory and arithmetic geometry. In particular,he is known for his contributions to the study of p-adic representations and p-adic cohomology.
Aleksandr Sergeyevich Merkurjev is a Russian-American mathematician,who has made major contributions to the field of algebra. Currently Merkurjev is a professor at the University of California,Los Angeles.
Tyakal Nanjundiah Venkataramana is an Indian mathematician who specialises in algebraic groups and automorphic forms.
Haruzo Hida is a Japanese mathematician,known for his research in number theory,algebraic geometry,and modular forms.
Nicolas Monod is a professor at École Polytechnique Fédérale de Lausanne (EPFL) and known for work on bounded cohomology,ergodic theory,geometry,locally compact groups and amenability.
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.
Geordie Williamson is an Australian mathematician at the University of Sydney. He became the youngest living Fellow of the Royal Society when he was elected in 2018 at the age of 36.
John Stephen Halperin is a Canadian mathematician who deals with differential geometry and algebraic topology.
Stephen M. Gersten is an American mathematician,specializing in finitely presented groups and their geometric properties.
Yongbin Ruan is a Chinese mathematician,specializing in algebraic geometry,differential geometry,and symplectic geometry with applications to string theory.
Charles Waldo Rezk is an American mathematician,specializing in algebraic topology and category theory.
