Kai Behrend

Updated on Oct 03, 2024

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Nationality German Residence Canada Fields Mathematics		Name Kai Behrend Doctoral advisor Arthur Ogus Role Mathematician

Institutions Massachusetts Institute of Technology,University of British Columbia Alma mater University of California, Berkeley,Harvard University Notable awards Coxeter–James Prize, 2001Jeffery–Williams Prize, 2011CRM-Fields-PIMS Prize, 2015 Books Derived L-adic Categories for Algebraic Stacks, String Topology for Stacks Education Harvard University, University of California, Berkeley
Other academic advisors Gunter Harder

Algebraic stacks and the inertia operator kai behrend

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, the 2011 Jeffery–Williams Prize, and the 2015 CRM-Fields-PIMS Prize.

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

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