Daniel K. Nakano | Academic Influence

Daniel K. Nakano's AcademicInfluence.com Rankings

Daniel K. Nakano

Mathematics

#6339

World Rank

#8799

Historical Rank

#1931

USA Rank

Measure Theory

#4370

World Rank

#5139

Historical Rank

#1217

USA Rank

mathematics Degrees

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Mathematics

Daniel K. Nakano's Degrees

PhD Mathematics University of California, Berkeley
Masters Mathematics University of California, Berkeley
Bachelors Mathematics University of California, Berkeley

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Why Is Daniel K. Nakano Influential?

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According to Wikipedia, Daniel Ken Nakano is an American mathematician. Nakano is a Distinguished Research Professor of Mathematics at the University of Georgia; he specializes in representation theory. Nakano graduated from the University of California, Berkeley in 1986, and earned a doctorate in mathematics from Yale University in 1990 under the supervision of George B. Seligman with thesis Projective Modules over Lie Algebras of Cartan Type. After temporary positions at Auburn University and Northwestern University, he became an assistant professor at Utah State University in 1994 and moved to the University of Georgia in 2001.

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Daniel K. Nakano'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

Specht Filtrations for Hecke Algebras of Type A (2004) (66)
Support varieties for algebraic groups (2002) (59)
Brauer-type reciprocity for a class of graded associative algebras (1991) (59)
Representation type of Hecke algebras of type $A$ (2001) (54)
Projective Modules over Lie Algebras of Cartan Type (1992) (52)
Cohomology for Quantum Groups Via the Geometry of the Nullcone (2011) (50)
Endotrivial modules for finite groups of Lie type A in nondefining characteristic (2015) (48)
On comparing the cohomology of general linear and symmetric groups (2001) (43)
Complexity and Module Varieties for Classical Lie Superalgebras (2009) (39)
Representation type of the blocks of category Os (2005) (38)
Cohomology and support varieties for Lie superalgebras II (2007) (36)
Extensions of Modules over Schur Algebras, Symmetric Groups and Hecke Algebras (2004) (36)
On Infinitesimal Schur Algebras (1996) (33)
Endotrivial modules for the symmetric and alternating groups (2009) (32)
Representation type of -Schur algebras (2001) (32)
Extensions for Frobenius kernels (2004) (29)
Block Degeneracy and Cartan Invariants for Graded Lie Algebras of Cartan Type (1993) (28)
SUPPORT VARIETIES FOR MODULES OVER CHEVALLEY GROUPS AND CLASSICAL LIE ALGEBRAS (2007) (28)
Second cohomology groups for Frobenius kernels and related structures (2007) (27)
Algebraic Group Actions in the Cohomology Theory of Lie Algebras of Cartan Type (1996) (26)
Representation Type of the Blocks of Category Ο (2001) (25)
Representation Theory of the Witt Algebra (1998) (25)
Semisimple Schur Algebras (1998) (24)
Support varieties for modules over symmetric groups (2002) (24)
Complexity for modules over finite Chevalley groups and classical Lie algebras (1999) (23)
Varieties of nilpotent elements for simple Lie algebras I:Good primes (2004) (21)
Cohomology and Support Varieties for Lie Superalgebras (2006) (21)
Extensions for finite Chevalley groups I (2004) (21)
On comparing the cohomology of algebraic groups, finite Chevalley groups and Frobenius kernels (2001) (21)
Extensions for finite Chevalley groups II (2002) (21)
The Restricted Nullcone (2005) (21)
Support varieties for the Steenrod algebra (1998) (20)
Differentiating the Weyl generic dimension formula with applications to support varieties (2012) (19)
Representation type of Schur algebras (1999) (19)
Tensor Triangular Geometry for Classical Lie Superalgebras (2014) (18)
On the vanishing ranges for the cohomology of finite groups of Lie type II (2009) (17)
Endotrivial modules for the general linear group in a nondefining characteristic (2014) (17)
Cohomology and Support Varieties for Lie Superalgebras of Type W(n) (2008) (16)
CATEGORY O FOR THE VIRASORO ALGEBRA: COHOMOLOGY AND KOSZULITY (2008) (15)
INFINITESIMAL SCHUR ALGEBRAS OF FINITE REPRESENTATION TYPE (1997) (14)
On the cohomology of Young modules for the symmetric group (2008) (14)
Detecting cohomology for Lie superalgebras (2010) (14)
Counterexamples to the tilting and (p,r)-filtration conjectures (2019) (14)
Tensor Triangular Geometry for Quantum Groups (2017) (13)
Complexity for modules over the classical Lie superalgebra $\Xmathfrak {gl}(m|n)$ (2011) (13)
On good (p,r)-filtrations for rational G-modules (2014) (13)
Support varieties for Weyl modules over bad primes (2007) (12)
Endotrivial modules for finite group schemes (2009) (12)
q-SCHUR ALGEBRAS CORRESPONDING TO HECKE ALGEBRAS OF TYPE B (2019) (11)
Bounding Cohomology for Finite Groups and Frobenius Kernels (2015) (11)
First cohomology for finite groups of Lie type: simple modules with small dominant weights (2010) (11)
Representations of Hopf Algebras Arising fromLie Algebras of Cartan Type@c (1997) (11)
Representation type of Schur superalgebras (2004) (10)
Contemporary Mathematics On Kostant ’ s Theorem for Lie Algebra Cohomology (2008) (10)
On the vanishing of extensions of modules over reduced enveloping algebras (1995) (9)
On the cohomology of Specht modules (2006) (9)
Relating the cohomology of general linear groups and symmetric groups (2001) (9)
ON TENSORING WITH THE STEINBERG REPRESENTATION (2018) (9)
Ext^1-quivers for the Witt algebra W(1,1) (2008) (9)
BOUNDING EXTENSIONS FOR FINITE GROUPS AND FROBENIUS KERNELS (2012) (8)
VARIETIES OF NILPOTENT ELEMENTS FOR SIMPLE LIE ALGEBRAS (2005) (8)
On the realization of orbit closures as support varieties (2006) (8)
Second cohomology for finite groups of Lie type (2011) (8)
Extensions for finite groups of Lie type : twisted groups (2003) (7)
Contemporary Mathematics Extensions for finite groups of Lie type II : Filtering the truncated induction functor (2006) (7)
AN ANALOG OF KOSTANT’S THEOREM FOR THE COHOMOLOGY OF QUANTUM GROUPS (2009) (7)
Complexes and Vanishing of Cohomology for Group Schemes (1999) (7)
Bounding the Dimensions of Rational Cohomology Groups (2013) (7)
Differentiating the Weyl generic dimension formula and support varieties for quantum groups (2009) (7)
ON THE STRUCTURE OF COHOMOLOGY RINGS OF p-NILPOTENT LIE ALGEBRAS (2013) (7)
Endotrivial modules for finite groups of Lie type A in nondefining characteristic (2015) (7)
Cohomology for infinitesimal unipotent algebraic and quantum groups (2010) (7)
Endotrivial modules for finite groups schemes II (2011) (6)
On BBW parabolics for simple classical Lie superalgebras (2018) (6)
Noncommutative tensor triangular geometry (2019) (6)
Bilinear and Quadratic Forms on Rational Modules of Split Reductive Groups (2015) (6)
Projective modules for Frobenius kernels and finite Chevalley groups (2007) (6)
Noncommutative Tensor Triangular Geometry and the Tensor Product Property for Support Maps (2020) (5)
On the existence of mock injective modules for algebraic groups (2016) (5)
On the construction of indecomposable modules over restricted enveloping algebras (1996) (5)
The Lie module and its complexity (2015) (5)
Globally irreducible Weyl modules (2016) (5)
THIRD COHOMOLOGY FOR FROBENIUS KERNELS AND RELATED STRUCTURES (2014) (4)
COHOMOLOGY OF ALGEBRAIC GROUPS, FINITE GROUPS, AND LIE ALGEBRAS: INTERACTIONS AND CONNECTIONS (2014) (4)
A BOUND ON THE COMPLEXITY FOR GrT MODULES (2010) (4)
On Donkin's Tilting Module Conjecture II: Counterexamples (2021) (4)
Representation theory of Lie algebras of Cartan type (1998) (4)
Extensions of Modules over Hopf Algebras Arising from Lie Algebras of Cartan Type (2000) (4)
Filtrations for periodic modules over restricted Lie algebras (1992) (4)
A BOUND ON THE COMPLEXITY FOR GrT MODULES (2010) (4)
Torsion free endotrivial modules for finite groups of Lie type (2020) (3)
Blocks of Finite Type in Reduced Enveloping Algebras for Classical Lie Algebras (2000) (3)
Extensions for Finite Chevalley Groups III: Rational and Generic Cohomology (2013) (3)
Good filtrations for representations of Lie algebras of Cartan type (1998) (3)
A bound on the complexity for ᵣ modules (1995) (3)
Extensions for Generalized Current Algebras (2015) (3)
On Donkin’s tilting module conjecture I: lowering the prime (2021) (3)
Irreducibility of Weyl Modules over Fields of Arbitrary Characteristic (2016) (2)
On the Cohomology for the Witt Algebra W(1,1) (1994) (2)
The nucleus for restricted Lie algebras (2003) (2)
Complexity and support varieties for nite dimensional algebras (1995) (2)
Support varieties for Hecke algebras (2017) (2)
Cohomology of quantum groups: An analog of Kostant's Theorem (2008) (2)
ON THE SUPPORT VARIETIES FOR DEMAZURE MODULES (2010) (1)
On Donkin's Tilting Module Conjecture III: New Generic Lower Bounds (2022) (1)
Brauer-Type Reciprocity for a Class of (1991) (1)
On the spectrum and support theory of a finite tensor category (2021) (1)
Homomorphisms inducing isomorphisms in Lie algebra cohomology (1993) (1)
ON THE STRUCTURE OF COHOMOLOGY RINGS OF p-NILPOTENT LIE ALGEBRAS (2014) (0)
Quantum wreath products and Schur-Weyl duality I (2023) (0)
ON TENSORING WITH THE STEINBERG REPRESENTATION (2019) (0)
Category $\mathcal O$ for the Virasoro algebra: Cohomology and Koszulity (2007) (0)
Support Varieties and Nilpotent Elements for Simple Lie AIgebras (2004) (0)
Endotrivial modules for the general linear group in a nondefining characteristic (2014) (0)
On Weyl and Tilting Modules for $G_{2}$ when $p=2$ (2019) (0)
The nilpotent cone for classical Lie superalgebras (2020) (0)
Cohomology and Support Theory for Quantum Groups (2016) (0)
Cohomology for infinitesimal unipotent algebraic and quantum groups (2012) (0)
Realizing Rings of Regular Functions via the Cohomology of Quantum Groups (2022) (0)
Bounding Cohomology for Finite Groups and Frobenius Kernels (2015) (0)
Globally Irreducible Weyl Modules for Quantum Groups (2016) (0)
COM volume 148 issue 5 Cover and Front matter (2012) (0)
Lie Algebras, Lie Superalgebras, Vertex Algebras and Related Topics (2016) (0)
ON SHEAF COHOMOLOGY FOR SUPERGROUPS ARISING FROM SIMPLE CLASSICAL LIE SUPERALGEBRAS (2022) (0)

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