Kai Behrend is a German mathematician. He is a professor at the
University of British Columbia
The University of British Columbia (UBC) is a Public university, public research university with campuses near University of British Columbia Vancouver, Vancouver and University of British Columbia Okanagan, Kelowna, in British Columbia, Canada ...
in
Vancouver, British Columbia, Canada.
His work is in
algebraic geometry
Algebraic geometry is a branch of mathematics which uses abstract algebraic techniques, mainly from commutative algebra, to solve geometry, geometrical problems. Classically, it studies zero of a function, zeros of multivariate polynomials; th ...
and he has made important contributions in the theory of
algebraic stacks,
Gromov–Witten invariants and
Donaldson–Thomas theory (cf.
Behrend function
In algebraic geometry, the Behrend function of a scheme ''X'', introduced by Kai Behrend, is a constructible function (mathematics), constructible function
:\nu_X: X \to \mathbb
such that if ''X'' is a quasi-projective proper moduli scheme carrying ...
.) He is also known for
Behrend's formula, the generalization of the
Grothendieck–Lefschetz trace formula to
algebraic stacks.
He is the recipient of the 2001
Coxeter–James Prize, the 2011
Jeffery–Williams Prize, and the 2015
CRM-Fields-PIMS Prize.
He was elected to the 2018 class of
fellows of the
American Mathematical Society.
Selected publications
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References
External links
The personal web page of Kai Behrend*
{{DEFAULTSORT:Behrend, Kai
Algebraic geometers
German geometers
University of California, Berkeley alumni
20th-century German mathematicians
21st-century German mathematicians
Living people
Academic staff of the University of British Columbia Faculty of Science
Year of birth missing (living people)
Scientists from Hamburg
Fellows of the American Mathematical Society
Harvard University alumni