Kai Behrend

Kai Behrend is a German mathematician. He is a professor at the University of British Columbia in Vancouver, British Columbia, Canada.

Kai Behrend
Born	Hamburg, Germany
Nationality	German
Alma mater	University of California, Berkeley Harvard University
Known for	Behrend function Behrend's trace formula Perfect obstruction theory
Awards	Coxeter–James Prize, 2001 Jeffery–Williams Prize, 2011 CRM-Fields-PIMS Prize, 2015
Scientific career
Fields	Mathematics
Institutions	Massachusetts Institute of Technology University of British Columbia
Doctoral advisor	Arthur Ogus
Other academic advisors	Günter Harder

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] He was elected to the 2018 class of fellows of the American Mathematical Society.^[4]

Selected publications

• Behrend, K. (1997). "Gromov-Witten invariants in algebraic geometry". Inventiones Mathematicae. 127 (3). Springer Science and Business Media LLC: 601–617. arXiv:alg-geom/9601011. Bibcode:1997InMat.127..601B. doi:10.1007/s002220050132. ISSN 0020-9910. S2CID 9929474.
• Behrend, K.; Fantechi, B. (19 March 1997). "The intrinsic normal cone". Inventiones Mathematicae. 128 (1). Springer Science and Business Media LLC: 45–88. arXiv:alg-geom/9601010. Bibcode:1997InMat.128...45B. doi:10.1007/s002220050136. ISSN 0020-9910. S2CID 18533009.
• Behrend, K.; Manin, Yu. (1 October 1996). "Stacks of stable maps and Gromov-Witten invariants". Duke Mathematical Journal. 85 (1). Duke University Press. doi:10.1215/s0012-7094-96-08501-4. ISSN 0012-7094. S2CID 16512308.
• Behrend, Kai A. (2003). "Derived 𝑙-adic categories for algebraic stacks". Memoirs of the American Mathematical Society. 163 (774). American Mathematical Society (AMS): 0. doi:10.1090/memo/0774. ISSN 0065-9266. MR1963494