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Kai Behrend

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

Kai Behrend httpswwwmathubccabehrendbehrend1jpg
Institutions  Massachusetts Institute of Technology, University of British Columbia
Alma mater  University of California, Berkeley, Harvard University
Notable awards  Coxeter–James Prize, 2001 Jeffery–Williams Prize, 2011 CRM-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.

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Selected publications

  • 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
  • References

    Kai Behrend Wikipedia

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