Here are my preprints, publications,
lecture
notes, slides, conferences,
students,
and miscellanea.
The material below is based upon work partially supported by NSF grants DMS-0071606, DMS-0300106, DMS-0554118, DMS-0968275, DMS-0968060, and DMS-1302237, and by NSA Grant MSFP-06Y-095. Return to my homepage.
Preprints: Unitary representations of real reductive groups (with Jeffrey Adams, Marc van Leeuwen, and David Vogan) arxiv
Algebraic and analytic Dirac induction for graded affine Hecke algebras
Appendix to: Small
representations, string instantons, and Fourier modes of Eisenstein
series
Publications:
Characters of Springer representations on elliptic conjugacy classes
Dirac cohomology for graded affine Hecke algebras
The exotic Robinson-Schensted correspondence
Duality for nonlinear simply laced groups
Duality for GL(n,R) and the degenerate
affine Hecke algebra for gl(n)
Regular orbits of symmetric subgroups on
partial flag varieties
Stable combinations of special unipotent representations
Functors for unitary representations of
real classical groups and affine Hecke algebras
Pattern avoidence and smoothness for orbits
of a symmetric subgroup in the flag variety
Integrals over the Springer fiber
for sl(n,C) pdf
Leading term cycles of Harish-Chandra
modules and partial orders on components of the Springer fiber
Some small unipotent representations
of indefinite orthogonal groups and the theta correspondence
Derived functor modules arising as large
constituents of degenerate principal series
Shimura correspondences for split real
groups
Kazhdan-Lusztig
algorithms for nonlinear Lie groups and
applications to Kazhdan-Patterson lifting
Symplectic
and orthogonal Robinson-Schensted algorithms
pdf
Richardson
orbits for real groups
pdf
Some
small unipotent representations of indefinite orthogonal groups
pdf
Special
unipotent representations and the Howe correspondence
pdf
Irreducible
genuine characters of the metaplectic group
II:
Functoriality
One
dimensional representations of U(p,q) and the Howe
correspondence
Annihilators
and associated varieties of A_q(lambda) modules
for U(p,q)
pdf
Irreducible
genuine characters of the metaplectic group:
Kazhdan-Lusztig algorithm and Vogan duality
Nash equilibria for an evolutionary language game
Representations
of semisimple Lie groups
Generalized
Robinson-Schensted algorithms for real Lie
groups pdf
The adjoint representation in rings of functions
Fourier series of radial functions in several variables,
Back to the top. Some lecture notes:
Parametrizing even real nilpotent orbits
using ATLAS
pdf
Notes
on cells and special unipotent representations
pdf
On the computation of characteristic cycles of Harish-Chandra modules
pdf
Computing Real Weyl Groups
pdf
Computing K-type multiplicities in standard
modules (after Vogan)
pdf
Branching Laws
pdf
Unitary representations of U(p,q)
pdf
Back to the top. Some slides:
Kazhdan-Lusztig-Vogan polynomials
and
applications
pdf
Matching Kazhdan-Lustzig
polynomials for
GL(n,F) pdf
Starting a High School Math Circle Back to the top. Some conferences I helped organize:
SL(2,R)
Minicourse (May 2006)
Representation Theory of Real Lie Groups (June 2006, Snowbird UT)
Back to the top. Some students: Scott Crofts, PhD 2009: Duality for the universal cover of Spin(2n+1,2n). Casey Johnson, PhD 2010: Enhanced nilpotent representations of a cyclic quiver. Ben Trahan, PhD 2011: Functors for real and p-adic metaplectic groups. Matt Housley, PhD 2011: Polynomial representations and associated cycles of indefinite unitary groups. In progress: Kei Yuen Chan. Back to the top.
Some miscellanea:
In Math, Confidence Doesn't Count
Representation
Theory Back to the top. |
The above material is based upon work partially supported by NSF
grants DMS-0071606, DMS-0300106,
DMS-0554118, DMS-0968275,
DMS-0968060, and DMS-1302237, and by NSA Grant
MSFP-06Y-095.
Return to my homepage.