Kai Behrend is a German mathematician. He is a professor at the

University of British Columbia The University of British Columbia (UBC) is a public university, public research university with campuses near Vancouver and in Kelowna, British Columbia. Established in 1908, it is British Columbia's oldest university. The university ranks a ...

Vancouver, British Columbia Vancouver ( ) is a major city in western Canada, located in the Lower Mainland region of British Columbia. As the List of cities in British Columbia, most populous city in the province, the 2021 Canadian census recorded 662,248 people in the ...

, Canada. His work is in

algebraic geometry Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials. Modern algebraic geometry is based on the use of abstract algebraic techniques, mainly from commutative algebra, for solving geometrical ...

and he has made important contributions in the theory of

algebraic stack In mathematics, an algebraic stack is a vast generalization of algebraic spaces, or schemes, which are foundational for studying moduli theory. Many moduli spaces are constructed using techniques specific to algebraic stacks, such as Artin's repr ...

Gromov–Witten invariant In mathematics, specifically in symplectic topology and algebraic geometry, Gromov–Witten (GW) invariants are rational numbers that, in certain situations, count pseudoholomorphic curves meeting prescribed conditions in a given symplectic man ...

s and

Donaldson–Thomas theory In mathematics, specifically algebraic geometry, Donaldson–Thomas theory is the theory of Donaldson–Thomas invariants. Given a compact moduli space of sheaves on a Calabi–Yau threefold, its Donaldson–Thomas invariant is the virtual num ...

(cf. Behrend function.) He is also known for Behrend's formula, the generalization of the Grothendieck–Lefschetz trace formula to

s. He is the recipient of the 2001

Coxeter–James Prize The Coxeter-James Prize is a mathematics award given by the Canadian Mathematical Society (CMS) to recognize outstanding contributions to mathematics by young mathematicians in Canada. First presented in 1978, the prize is named after two renown ...

, the 2011

Jeffery–Williams Prize The Jeffery–Williams Prize is a mathematics award presented annually by the Canadian Mathematical Society. The award is presented to individuals in recognition of outstanding contributions to mathematical research. The first award was presen ...

, and the 2015

CRM-Fields-PIMS Prize The CRM-Fields-PIMS Prize is the premier Canadian research prize in the mathematical sciences. It is awarded in recognition of exceptional research achievement in the mathematical sciences and is given annually by three Canadian mathematics institu ...

. He was elected to the 2018 class of

fellow A fellow is a concept whose exact meaning depends on context. In learned or professional societies, it refers to a privileged member who is specially elected in recognition of their work and achievements. Within the context of higher education ...

s of the

American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...

Selected publications

* * * *

References

External links

The personal web page of Kai Behrend
* {{DEFAULTSORT:Behrend, Kai Algebraic geometers Geometers University of California, Berkeley alumni 20th-century German mathematicians 21st-century German mathematicians Living people University of British Columbia Faculty of Science faculty Year of birth missing (living people) Scientists from Hamburg Fellows of the American Mathematical Society