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Prof

Kari Vilonen

Professor In Pure Mathematics
Mathematics and Statistics
physical sciences
science & technology
mathematics
modules
perverse sheaves
algebra
representation theory
physics, mathematical
physics
Kari Vilonen's Profile Picture
Prof

Kari Vilonen

 
Division
Science
Kari Vilonen's Profile Picture
Prof

Kari Vilonen

 
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Kari's  Short Profile
 

Projects

Displaying the 6 most recent projects by Kari Vilonen.

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Real groups and the Langlands program

2020 - 2025
Active
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Real groups and the Langlands program

2020 - 2024
Active
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Real groups and the Langlands program

2020 - 2024
Active
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Real groups and the Langlands program

2020 - 2024
Active
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Real groups, Hodge theory, and the Langlands program

This mathematics project aims to settle open questions in real groups. The real groups are the fundamental symmetries occurring in nature an..

2018 - 2021
Active
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Geometric methods in representation theory and the Langlands program

This research project aims to study questions in representation theory of groups using geometric methods. A central role is played by Langla..

2015 - 2021
Active

6

Projects

Project Types

4

Research Grant

2

Internal Research Grant

Scholarly Works

Displaying the 10 most recent scholarly works by Kari Vilonen.

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HESSENBERG VARIETIES, INTERSECTIONS OF QUADRICS, AND THE SPRINGER CORRESPONDENCE

Tsao-Hsien Chen, Kari Vilonen, Ting Xue

Journal article  |  2020  |  Transactions of the American Mathematical Society

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Cartan Theorems for Stein Manifolds Over a Discrete Valuation Base

Jari Taskinen, Kari Vilonen

Journal article  |  2019  |  The Journal of Geometric Analysis

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Springer correspondence for the split symmetric pair in type A

Tsao-Hsien Chen, Kari Vilonen, Ting Xue

Journal article  |  2018  |  Compositio Mathematica

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Erratum: Geometric Langlands duality and representations of algebraic groups over commutative rings [Annals of Mathematics, 188, 3, (2018) (1017-1018)] Doi: 10.4007/annals.2007.166.95

I Mirkovic, K Vilonen

Journal article  |  2018  |  Annals of Mathematics

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Geometric Langlands duality and representations of algebraic groups over commutative rings (vol 166, pg 95, 2007)

I Mirkovic, K Vilonen

Journal article  |  2018  |  ANNALS OF MATHEMATICS

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On the cohomology of Fano varieties and the Springer correspondence

Tsao-Hsien Chen, Kari Vilonen, Ting Xue, Dennis Stanton

Journal article  |  2017  |  Advances in Mathematics

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THE NULL-CONE AND COHOMOLOGY OF VECTOR BUNDLES ON FLAG VARIETIES

Kari Vilonen, Ting Xue

Journal article  |  2016  |  Representation Theory of the American Mathematical Society

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Hodge theory and unitary representations

Wilfried Schmid, Kari Vilonen

Book Chapter  |  2015  |  Progress in Mathematics

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Microdifferential systems and the codimension-three conjecture

Masaki Kashiwara, Kari Vilonen

Journal article  |  2014  |  Annals of Mathematics

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CHARACTERISTIC CYCLES AND DECOMPOSITION NUMBERS

Kari Vilonen, Geordie Williamson

Journal article  |  2013  |  Mathematical Research Letters

36

Scholarly Works

Keyword Analysis

Expanding Knowledge
Pure Mathematics
Other Mathematical Sciences

Credentials

Positions

Professor In Pure Mathematics

Mathematics and Statistics

Education

Doctor of Philosophy

Brown University

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