Kai Behrend

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, the 2011 Jeffery–Williams Prize, and the 2015 CRM-Fields-PIMS Prize. He was elected to the 2018 class of fellows of the American Mathematical Society.

• 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