Kai Behrend
{{short description|German mathematician}}
{{Infobox scientist
| name = Kai Behrend
| image = Kai Behrend.jpg
| birth_date =
| birth_place = Hamburg, Germany
| nationality = German
| field = Mathematics
| work_institutions = Massachusetts Institute of Technology
University of British Columbia
| alma_mater = University of California, Berkeley
Harvard University
| doctoral_advisor = Arthur Ogus
| academic_advisors = Günter Harder
| doctoral_students =
| known_for = Behrend function
Behrend's trace formula
Perfect obstruction theory
| prizes = Coxeter–James Prize, 2001
Jeffery–Williams Prize, 2011
CRM-Fields-PIMS Prize, 2015
}}
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,{{Cite web|url=https://cms.math.ca/awards/coxeter-james-prize/|title=Coxeter-James Prize|accessdate=17 December 2021}} the 2011 Jeffery–Williams Prize,{{Cite web|url=https://cms.math.ca/awards/jeffery-williams-prize/|title=Jeffery-Williams Prize|accessdate=17 December 2021}} and the 2015 CRM-Fields-PIMS Prize.{{Cite web|url=http://www.fields.utoronto.ca/honours/crm-fields-pims_prize.html|title=Fields Institute - CRM-Fields-PIMS Prize Nominations|website=www.fields.utoronto.ca|accessdate=17 December 2021}} He was elected to the 2018 class of fellows of the American Mathematical Society.{{cite web | title=Fellows of the American Mathematical Society | website=American Mathematical Society | date=26 November 2018 | url=https://www.ams.org/cgi-bin/fellows/fellows_by_year.cgi | access-date=17 December 2021}}
Selected publications
- {{cite journal | last=Behrend | first=K. | title=Gromov-Witten invariants in algebraic geometry | journal=Inventiones Mathematicae | publisher=Springer Science and Business Media LLC | volume=127 | issue=3 | year=1997 | issn=0020-9910 | doi=10.1007/s002220050132 | pages=601–617| arxiv=alg-geom/9601011 | bibcode=1997InMat.127..601B | s2cid=9929474 }}
- {{cite journal | last1=Behrend | first1=K. | last2=Fantechi | first2=B. | title=The intrinsic normal cone | journal=Inventiones Mathematicae | publisher=Springer Science and Business Media LLC | volume=128 | issue=1 | date=19 March 1997 | issn=0020-9910 | doi=10.1007/s002220050136 | pages=45–88| arxiv=alg-geom/9601010 | bibcode=1997InMat.128...45B | s2cid=18533009 }}
- {{cite journal | last1=Behrend | first1=K. | last2=Manin | first2=Yu. | title=Stacks of stable maps and Gromov-Witten invariants | journal=Duke Mathematical Journal | publisher=Duke University Press | volume=85 | issue=1 | date=1 October 1996 | issn=0012-7094 | doi=10.1215/s0012-7094-96-08501-4| s2cid=16512308 }}
- {{cite journal | last=Behrend | first=Kai A. | title=Derived 𝑙-adic categories for algebraic stacks | journal=Memoirs of the American Mathematical Society | publisher=American Mathematical Society (AMS) | volume=163 | issue=774 | year=2003 | issn=0065-9266 | doi=10.1090/memo/0774 | pages=0| doi-access=free }} {{mr|1963494}}
References
{{Reflist}}
External links
- [http://www.math.ubc.ca/~behrend/ The personal web page of Kai Behrend]
- {{MathGenealogy|id=32320}}
{{Authority control}}
{{DEFAULTSORT:Behrend, Kai}}
Category:University of California, Berkeley alumni
Category:20th-century German mathematicians
Category:21st-century German mathematicians
Category:Academic staff of the University of British Columbia Faculty of Science
Category:Year of birth missing (living people)
Category:Scientists from Hamburg