| Kai Behrend | |
| Birth Place: | Hamburg, Germany |
| Nationality: | German |
| Field: | Mathematics |
| Work Institutions: | Massachusetts Institute of Technology University of British Columbia |
| Alma Mater: | University of California, Berkeley Harvard University |
| Doctoral Advisor: | Arthur Ogus |
| Academic Advisors: | Günter Harder |
| Known For: | Behrend function Behrend's trace formula Perfect obstruction theory |
| Prizes: | Coxeter–James Prize, 2001 Jeffery–Williams Prize, 2011 CRM-Fields-PIMS Prize, 2015 |
Kai Behrend is a German mathematician. He is a professor at the University of British Columbia in Vancouver, British Columbia, Canada.
His work is in algebraic geometry and he has made important contributions in the theory of algebraic stacks, Gromov–Witten invariants and Donaldson–Thomas theory (cf. Behrend function.) 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,[1] the 2011 Jeffery–Williams Prize,[2] and the 2015 CRM-Fields-PIMS Prize.[3] He was elected to the 2018 class of fellows of the American Mathematical Society.[4]