Kari Vilonen | Academic Influence

Kari Vilonen's AcademicInfluence.com Rankings

Kari Vilonen

Mathematics

#1878

World Rank

#2984

Historical Rank

Algebra

#171

World Rank

#262

Historical Rank

Measure Theory

#4928

World Rank

#5792

Historical Rank

mathematics Degrees

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Mathematics

Kari Vilonen's Degrees

PhD Mathematics University of Helsinki

Why Is Kari Vilonen Influential?

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According to Wikipedia, Kari Kaleva Vilonen is a Finnish mathematician, specializing in geometric representation theory. He is currently a professor at the University of Melbourne. Education He received in 1983 his Ph.D from Brown University under Robert MacPherson with thesis The Intersection Homology D-module on Hypersurfaces with Isolated Singularities.

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Kari Vilonen'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

Geometric Langlands duality and representations of algebraic groups over commutative rings (2004) (474)
Elementary construction of perverse sheaves (1986) (167)
Perverse Sheaves on affine Grassmannians and Langlands Duality (1999) (101)
Whittaker patterns in the geometry of moduli spaces of bundles on curves (1999) (79)
Characteristic cycles and wave front cycles of representations of reductive Lie groups (2000) (74)
Characteristic varieties of character sheaves (1988) (61)
Matsuki correspondence for sheaves (1992) (57)
Characteristic cycles of constructible sheaves (1996) (57)
Perverse sheaves and quivers (1996) (42)
Geometric realization of Whittaker functions and the Langlands conjecture (1997) (37)
On the geometric Langlands conjecture (2000) (32)
Two geometric character formulas for reductive Lie groups (1998) (27)
Bernstein-Gelfand-Gelfand reciprocity on perverse sheaves (1987) (27)
Perverse sheaves with singularities along the curveyn=xm (1988) (24)
PERVERSE SHEAVES ON LOOP GRASSMANNIANS AND LANGLANDS DUALITY (1997) (24)
A geometric Jacquet functor (2003) (20)
Perverse sheaves and finite dimensional algebras (1994) (19)
On the geometry of nilpotent orbits (2004) (19)
Intersection homologyD-module on local complete intersections with isolated singularities (1985) (16)
Hodge theory and unitary representations of reductive Lie groups (2012) (16)
Springer correspondence for the split symmetric pair in type $A$ (2016) (13)
Microlocal Perverse Sheaves (2005) (12)
Microdifferential systems and the codimension-three conjecture (2012) (11)
Hessenberg varieties, intersections of quadrics, and the Springer correspondence (2015) (9)
Characters, characteristic cycles, and nilpotent orbits (1995) (9)
Nearby cycle sheaves for symmetric pairs (2018) (8)
Characters, fixed points and Osborne's conjecture (1993) (7)
Springer Correspondence for Symmetric Spaces (2015) (7)
Characteristic cycles and decomposition numbers (2012) (7)
On the cohomology of Fano varieties and the Springer correspondence (2016) (6)
Character sheaves for classical symmetric pairs (2018) (5)
Character sheaves for graded Lie algebras: Stable gradings (2020) (5)
Character sheaves for symmetric pairs (2018) (5)
Koszul duality for quasi-split real groups (2015) (4)
Hodge theory and unitary representations (2015) (4)
On the codimension-three conjecture (2010) (4)
Springer correspondence, hyperelliptic curves, and cohomology of Fano varieties (2015) (3)
Regular holonomic D-modules on skew symmetric matrices (3)
Nearby Cycle Sheaves for Stable Polar Representations (2020) (3)
The null-cone and cohomology of vector bundles on flag manifolds (2015) (3)
Character sheaves for symmetric pairs: special linear groups (2021) (3)
Erratum for “Geometric Langlands duality and representations of algebraic groups over commutative rings” (2018) (2)
Characters, fixed points, and Osborne's conjecture: Contemporary Mathematics 143 (1993) (2)
Mixed Hodge modules and real groups (2022) (1)
A note on Hessenberg varieties (2021) (1)
Geometric Methods in Representation Theory (2004) (1)
Topological Methods in Representation Theory (2008) (1)
Hodge theory and unitary representations, in the example of $\mathrm{SL}(2,\mathbb{R})$ (2015) (0)
Geometric methods in representation theory: IAS/Park City Mathematics Series Vol. 8 (2000) (0)
On a class of holonomic D-modules on symmetric matrices attached to the general linear group (0)
the nilpotent cone π : Ñ → N . These maps fit into the following commutative diagram : ( 1 . 1 (2015) (0)
Geometry, Representation Theory, and the Langlands Program (2013) (0)
A GEOMETRIC JACQUET FUNCTOR 3 nearby cycles construction on (0)
Invariant systems and character sheaves for graded Lie algebras (2021) (0)
Cartan Theorems for Stein Manifolds Over a Discrete Valuation Base (2018) (0)
Cartan Theorems for Stein Manifolds Over a Discrete Valuation Base (2016) (0)
Hodge Filtrations on Tempered Hodge Modules (2022) (0)

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