- Motivic functions,
integrability, and uniform in p bounds for orbital integrals
(with
R. Cluckers and
I. Halupczok ).

Submitted. This is an announcement (and summary of all the results) of the three preprints below, and related work. - Appendix B to Sato-Tate
theorem for families and low-lying zeros of automorphic L-functions
by Sug Woo Shin and Nicolas
Templier.
(with
R. Cluckers and
I. Halupczok ).

Submitted. In the appendix, we prove a uniform in p bound for normalized orbital integrals. -
Local integrability
results
in harmonic analysis on reductive groups in large positive characteristic.
(with
R. Cluckers and
I. Halupczok ).

Ann. Sci. Ec. Norm. Sup., to appear. -
Integrability of oscillatory functions on local fields: transfer principles.
(with
R. Cluckers and
I. Halupczok ).

Duke Math J., to appear. - Transfer to
characteristic zero -- appendix to
"The fundamental lemma of
Jacquet-Rallis in positive characteristics" by Zhiwei Yun.

Duke Math J. 156 No. 2 (2011), 220-227. - On the computability
of some positive-depth characters near the identity (with R.
Cluckers ,
C. Cunningham , and
L. Spice ).

Represent. Theory 15 (2011), 531-567. - An overview of arithmetic
motivic integration. (with Y. Yaffe)

in "Ottawa Lectures on p-adic Groups", C. Cunnigham and M. Nevins, Eds., Fields Institute Monograph Series, 2009. -
Motivic proof of a character formula for SL(2) (with
Clifton Cunningham ).

Experiment. Math. 18 No.1 (2009), pp.11-44. -
Motivic Haar Measure
on Reductive Groups .

Canadian J. Math. 58 (2006), No. 1, 93--114. - Motivic nature of
character values of depth-zero representations.

IMRN 2004, no. 34, 1735 - 1760. -
Virtual Transfer
Factors , (with
T.C. Hales ).

Represent. Theory 7 (2003), 81--100 (electronic). -
Common hypercyclic
vector for the multiples of backward shift
, (with E.V. Abakumov).

J. Funct. Anal. 200 (2003), no. 2, 494--504. -
Composition operators on the space of Dirichlet series
with square summable coefficients, (with
Haakan Hedenmalm ).

Michigan Math. Journal, 46 (1999), no. 2, 313--329.

- T.C. Hales, Can p-adic integrals be computed? (this is a good place to start).
- R. Cluckers, T. Hales, and F. Loeser, Transfer Principle for the Fundamental Lemma .
- T.C. Hales, Orbital integrals are motivic.
- C. Cunningham and T.C. Hales, Good orbital integrals .
- J. Diwadkar Nilpotent conjugacy classes in p-adic Lie algebras and definability in Pas' language .

- Motivic Poisson summation by E. Hrushovski and D. Kazhdan.
- The value ring of geometric motivic integration and the Iwahori Hecke algebra of SL_2. by E. Hrushovski and D. Kazhdan.
- Fourier transform of the additive group in algebraically closed valued fields by Yimu Yin.

- 2004 complete motivic Integration bibiography , at Manuel Blickle's old page.
- Other materials at Manuel Blickle's page.
- Wim Veys
- "What is Motivic Measure?" By T.C. Hales
- More resources can be found at an old page for the seminar on motivic integration we had in 2011 at UBC.

- David Ben-Zvi's Geometric Langlands page.
- Bill Casselman.
- Paul Garrett.
- Fiona Murnaghan.
- A course on representation theory (D. Barbasch)
- Collected works of Robert Langlands.