Kai Behrend | Academic Influence

Kai Behrend's AcademicInfluence.com Rankings

Kai Behrend

Mathematics

#3115

World Rank

#4661

Historical Rank

Measure Theory

#4003

World Rank

#4716

Historical Rank

mathematics Degrees

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Mathematics

Kai Behrend's Degrees

PhD Mathematics University of Bonn

Why Is Kai Behrend Influential?

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According to Wikipedia, 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 He is also known for Behrend's formula, the generalization of the Grothendieck–Lefschetz trace formula to algebraic stacks.

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Kai Behrend's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

The intrinsic normal cone (1996) (937)
Gromov-Witten invariants in algebraic geometry (1996) (433)
Stacks of Stable Maps and Gromov-Witten Invariants (1995) (351)
Donaldson-Thomas type invariants via microlocal geometry (2009) (253)
Differentiable stacks and gerbes (2006) (167)
Symmetric Obstruction Theories and Hilbert Schemes of Points on Threefolds (2005) (166)
Motivic degree zero Donaldson–Thomas invariants (2009) (156)
Donaldson-Thomas invariants via microlocal geometry (2005) (144)
The Lefschetz trace formula for algebraic stacks (1993) (82)
Derived -adic categories for algebraic stacks (2003) (73)
Semi-stability of reductive group schemes over curves (1995) (70)
Uniformization of Deligne-Mumford curves (2005) (70)
On the motivic class of the stack of bundles (2007) (65)
On the de Rham cohomology of differential and algebraic stacks (2004) (51)
The product formula for Gromov-Witten invariants (1997) (51)
The Lefschetz Trace Formula for the Moduli Stack of Principal Bundles (2005) (48)
Equivariant gerbes over compact simple Lie groups (2003) (38)
String Topology for Stacks (2007) (37)
Gerstenhaber and Batalin–Vilkovisky Structures on Lagrangian Intersections (2009) (31)
Super-rigid Donaldson-Thomas Invariants (2006) (29)
On the cohomology of stable map spaces (2002) (27)
S1-bundles and gerbes over differentiable stacks (2003) (27)
Differential Graded Schemes I: Perfect Resolving Algebras (2002) (22)
Enumerative Invariants in Algebraic Geometry and String Theory (2008) (21)
Connected Components of Moduli Stacks of Torsors via Tamagawa Numbers (2005) (18)
Differential Graded Schemes II: The 2-category of Differential Graded Schemes (2002) (16)
Localization and Gromov-Witten Invariants (2002) (15)
The derived moduli space of stable sheaves (2010) (15)
Geometric higher groupoids and categories (2015) (12)
Algebraic Gromov–Witten invariants (1999) (12)
Moduli Spaces: Introduction to algebraic stacks (2014) (11)
The inertia operator on the motivic Hall algebra (2016) (9)
String topology for loop stacks (2007) (9)
On the Motive of the Stack of Bundles (2005) (5)
String product for inertia stacks (2007) (4)
Moduli of non-commutative polarized schemes (2015) (4)
The Eigenvalue Spectrum of the Inertia Operator (2016) (3)
Derived Differential Geometry (2020) (3)
Derived Differentiable Manifolds (2020) (2)
Frobenius structure for inertia stacks (2006) (2)
The Geometry of Tamagawa Numbers of Algebraic Groups (2005) (1)
Categorification of Lagrangian intersections via deformation quantization (2013) (0)
Donaldson-Thomas theory of non-commutative projective schemes (2019) (0)
D ec 2 00 2 Differential Graded Schemes I : Perfect Resolving Algebras (0)
Ju l 2 01 5 Moduli of non-commutative polarized schemes (0)
Quantum Cohomology: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 30 - July 8, 1997 (2002) (0)
On the stability of regular algebras (2016) (0)
Motivic degree zero Donaldson–Thomas invariants (2012) (0)
Quantization of (-1)-Shifted Derived Poisson Manifolds (2022) (0)
Donaldson-thomas Type Invariants via Microlocal Geometry (preliminary Version) (2008) (0)
Moduli of non-commutative polarized schemes (2017) (0)
Algebraic Geometry Géométrie algébrique (Org: Nathan Ilten-Gee (Simon Fraser University) and/et Kalle Karu (University of British Columbia)) (2018) (0)

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