|
Algebraic and analytic Dirac induction for graded affine Hecke algebras
with Dan Ciubotaru and Eric Opdam |
arxiv |
|
|
The exotic Robinson-Schensted correspondence
with Anthony Henderson |
arxiv |
|
| Appendix to: Small
representations, string instantons, and Fourier modes of Eisenstein
series
by Michael B. Green, Stephen D. Miller, and Pierre Vanhove with Dan Ciubotaru |
arxiv |
|
| Characters of Springer representations on ellitpic conjugacy classes with Dan Ciubotaru |
arxiv |
pdf |
| Stable combinations of special unipotent representations with Dan Barbasch to appear in Contemp. Math. (Zuckerman volume) |
arxiv |
pdf |
| Dirac cohomology for graded affine Hecke algebras with Dan Barbasch and Dan Ciubotaru to appear in Acta Mathematica |
pdf |
|
| Duality for GL(n,R) and the degenerate
affine Hecke algebra for gl(n) with Dan Ciubotaru to appear in American Journal of Math. |
arxiv |
pdf |
| Regular orbits of symmetric subgroups on
partial flag varieties with D. Ciubotaru and K. Nishiyama to appear in Representation Theory, Complex Analysis, and Integral Geometry Vol. 2, Progress in Mathematics, Birkhauser, (Eds. B. Kroetz, O.Offen and E. Sayag) |
arxiv |
|
| Duality for nonlinear simply laced groups with Jeffrey Adams to appear in Compositio Math. |
arxiv |
Publications:
Functors for unitary representations of
real classical groups and affine Hecke algebras
with Dan Ciubotaru
Advances in Math 227 (2011), no. 4, 1585-1611.
arxiv
pdf
Pattern avoidence and smoothness for orbits
of a symmetric subgroup in the flag variety
with W. M. McGovern
Journal of Algebra, 322 (2009), 2713-2730.
Integrals over the Springer fiber
for sl(n,C)
a stand-alone version of an appendix that appeared in
Representation Theory, 12 (2008), 403-434.
dvi
ps
pdf
Leading term cycles of Harish-Chandra
modules and partial orders on components of the Springer fiber
Compositio Mathematica, 143 (2007), 515-540. dvi
ps
pdf
Some small unipotent representations
of indefinite orthogonal groups and the theta correspondence
with Annegret Paul
University of Aarhus
Publication Series, 48 (2007), 103-125.
dvi
ps
pdf
Derived functor modules arising as large
constituents of degenerate principal series
with Hisayosi Matumoto
Compositio Mathematica, 143 (2007), 222-256.
dvi
ps
pdf
Shimura correspondences for split real
groups
with Jeffrey Adams, Dan Barbasch, Annegret Paul, and David Vogan
Journal of the American Math
Society, 20 (2007), 701-751.
ps
pdf
Kazhdan-Lusztig
algorithms for nonlinear Lie groups and
applications to Kazhdan-Patterson lifting
with David Renard
American Journal of Mathematics, 127 (2005), 911-971.
ps
pdf
Symplectic
and orthogonal Robinson-Schensted algorithms
Journal of Algebra, 286 (2005), 386-404.dvi
ps
pdf
Richardson
orbits for real groups
Journal of Algebra, 286
(2005), 361-385.dvi
ps
pdf
Some
small unipotent representations of indefinite orthogonal groups
Journal of Functional Analysis, 213 (2004),
290-320.dvi
ps
pdf
Special
unipotent representations and the Howe correspondence
University of Aarhus
Publication Series, 47
(2004), 210-230.
dvi
ps
pdf
Irreducible
genuine characters of the metaplectic group
II:
Functoriality
with David Renard
Journal für die reine und angewandte Mathematik,
volume 557 (2003), 121-158.dvi
ps
pdf
One
dimensional representations of U(p,q) and the Howe
correspondence
with Annegret Paul
Journal of Functional Analysis, 195 (2002), no. 1, 129--166.dvi
ps
pdf
Annihilators
and associated varieties of A_q(lambda) modules
for U(p,q)
Compositio Mathematica, 129
(2001), no. 1, 1-45.dvi
ps
pdf
Irreducible
genuine characters of the metaplectic group:
Kazhdan-Lusztig algorithm and Vogan duality
with David Renard
Representation Theory, 4
(2000), 245--295.dvi
ps
pdf
Nash
equilibria for an evolutionary language game
with Martin
Nowak
Journal of Mathematical Biology, 41 (2000), no. 2,
172--188.
dvi
ps
pdf
Representations
of semisimple Lie groups
with Anthony W. Knapp
in Representation theory of Lie groups (Park City, UT, 1998),
IAS/Park City Mathematical Series, 8
(2000), 7-87.
dvi
ps
pdf
Generalized
Robinson-Schensted algorithms for real Lie
groups
International Math Research
Notices, 1999, no. 15,
803-834.dvi
ps
pdf
The
adjoint representation in rings of functions
with Eric Sommers,
Representation Theory, 1 (1997), 182-189.
dvi
ps
pdf
Fourier
series of radial functions in several variables,
with Mark Pinsky and Nancy Stanton,
Journal of Functional Analysis, 116 (1993), no. 1,
111-132.
ps
| Parametrizing even real nilpotent orbits
using ATLAS Unpublished notes from a lecture at University of Maryland workshop, March, 2008 |
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| Notes
on cells and special unipotent representations Unpublished notes from a lecture at an AIM workshop, July, 2007. Based partially on notes taken by Patrick Polo. |
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| On
the computation of characteristic cycles of Harish-Chandra modules Unpublished notes from a lecture an AIM workshop, July, 2006. |
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| Computing Real Weyl Groups Unpublished notes from a lecture given by David Vogan at an AIM work shop, July, 2006. |
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| Computing K-type multiplicities in standard
modules (after Vogan) Unpublished notes from lectures at an AIM workshop, July, 2005. |
dvi |
ps |
|
| Branching Laws Unpubilshed notes from an AIM workshop, July, 2003. Notes by David Vogan. |
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| Unitary representations of U(p,q) Notes from a talk at the AMS-SRC conference "Representation theory of real and p-adic reductive groups" University of Washington, July, 1997. |
| Kazhdan-Lusztig-Vogan polynomials
and
applications Slides from a Colloquium at the University of Washington, October, 2007 |
||
| Matching Kazhdan-Lustzig
polynomials for
GL(n,F) Slides from a lecture at an AIM workshop, July, 2007. |
||
| Starting a High School Math Circle Slides from an invited address at an MAA meeting, March, 2006. Only available in the evil ppt format. |
ppt |
Back to the top.
Some
conferences I helped organize:
| SL(2,R)
Minicourse (May 2006) (with Casselman and Milicic) |
Minicourse Homepage |
| Representation
Theory of Real Lie Groups (June 2006, Snowbird UT) (with Arthur and Schmid) Conference Homepage |
Conference Proceedings |
Back to the top.
| Scott Crofts, PhD 2009:
Duality for the universal cover of
Spin(2n+1,2n) (first job: NSF postdoc at UC Santa Cruz) |
| Casey Johnson, PhD 2010:
Enhanced nilpotent representations of a cyclic quiver (first job: NSA) |
| In progress: Housley and Trahan. |
Back to the top.
Some miscellanea:
In Math, Confidence Doesn't Count
An op-ed piece that was picked up by various newspapers around the
country.
html
Representation
Theory
an electronic journal of the AMS
Back to the top.
This above material is based upon work partially supported by NSF
grants DMS-0071606, DMS-0300106, DMS-0554118, DMS-0968275, and
DMS-0968060 and by NSA Grant
MSFP-06Y-095.
Return to my homepage.