Kai Behrend

Short description: German mathematician

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

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

## References

1. ↑ "Coxeter-James Prize". https://cms.math.ca/awards/coxeter-james-prize/. Retrieved 17 December 2021.
2. ↑ "Jeffery-Williams Prize". https://cms.math.ca/awards/jeffery-williams-prize/. Retrieved 17 December 2021.
3. ↑ "Fields Institute - CRM-Fields-PIMS Prize Nominations". http://www.fields.utoronto.ca/honours/crm-fields-pims_prize.html. Retrieved 17 December 2021.
4. ↑ "Fellows of the American Mathematical Society". 26 November 2018. https://www.ams.org/cgi-bin/fellows/fellows_by_year.cgi.

## External links

* The personal web page of Kai Behrend
* Kai Behrend at the Mathematics Genealogy Project

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