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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.

Contents

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