Kai Behrend

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Kai Behrend
Kai Behrend.jpg
Born Hamburg, Germany
Residence Canada
Nationality German
Fields Mathematics
Institutions Massachusetts Institute of Technology
University of British Columbia
Alma mater University of California, Berkeley
Harvard University
Doctoral advisor Arthur Ogus
Other academic advisors Günter Harder
Notable awards 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.

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]

Selected publications[edit]

  • Gromov-Witten Invariants in algebraic geometry, Inventiones Mathematicae, vol. 127, 1997, pp. 601-617, Arxiv
  • with Barbara Fantechi: The intrinsic normal cone, Inventiones Mathematicae, vol. 128, 1997, pp. 45-88, Arxiv
  • with Yuri Manin: Stacks of stable maps and Gromov Witten Invariants, Duke Mathematical Journal, vol. 85, 1996, pp. 1-60, Arxiv
  • Derived ℓ-adic categories for algebraic stacks, Memoirs of the American Mathematical Society, 2003, MR1963494


External links[edit]