Research

I suppose the bulk of the people visiting my research site will be here to see whether I have posted my papers.
Preprints Holomorphy of adjoint L functions for quasisplit A2

Programming project Exceptional Group Unipotent Toolkit (egut)

Unpublishable work Constructions of global integrals in the exceptional groups a preliminary version of "Constructions of global integrals in the exceptional group F_4" with more details.

Published Work
(with D. Ban) Irreducibility of p-adic Principal Series Representations of p-adic Groups, Representation Theory. Volume 20, Pages 249--262, August 2016. link
(with E. Sayag) Descent Construction for GSpin Groups, Memoirs of the AMS. Volume 243, number 1148, September 2016.link
(with X. Shen) A Multi-variable Rankin-Selberg Integral for a Product of GL_2-twisted Spinor L-functions, Monatshefte fuer Mathematik, Volume 181, No. 2, 355-403.
Eisenstein series on the General Linear Group, to appear in Lecture Series in Modern Number Theory, Science Press, Beijing.
(with Q. Zhang) Fourier Coefficients of Theta Functions at Finite Cusps, to appear in Acta Arithmetica.
(with D. Ginzburg) A doubling integral for G_2, Israel J. Math. 207 (2015), no. 2, 835--879.
On multiplicativity of Fourier coefficients at cusps other than infinity. Ramanujan J. 34 (2014), no. 2, 283--306. link
On some results of Bump-Choie and Choie-Kim. Bull. Korean Math. Soc. 50 (2013), no. 2, 559--581.
Siegel zeros of Eisenstein series, Acta Arith. 126 (2007), no. 4, 341-356.
(with D. Ginzburg) Constructions of global integrals in the exceptional group F_4. Kyushu J. Math. 67 (2013), no. 2, 389--417. link
(with D. Goldfeld and M. Lee) Fourier expansions of GL(2) newforms at various cusps, Ramanujan J. (online first), 2013 link, The Ramanujan Journal: Volume 36, Issue 1 (2015), Page 3-42.
The adjoint L function for SU_{2,1}, in Multiple Dirichlet Series, L-functions and Automorphic Forms, Birkhaeuser Progress in Mathematics volume 300, 2012,link
(with D. Goldfeld) Automorphic representations and L-functions for the general linear group, Volumes I and II. With exercises and a preface by Xander Faber. Cambridge Studies in Advanced Mathematics, numbers 129 and 130. Cambridge University Press, Cambridge, 2011.
(with E. Sayag) Descent construction for GSpin groups: main results and applications. Electron. Res. Announc. Math. Sci. 16 (2009), 30--36.
(with D. Ginzburg) On certain Rankin-Selberg integrals on GE_6. Nagoya Math. J. 191 (2008), 21--78 (published version).
(with D. Ginzburg) The adjoint L-function for GL_5. Electron. Res. Announc. Math. Sci. 15 (2008), 24-32.
Spin L functions for GSO_{10} and GSO_{12}, Israel J. Math. 165 (2008), 103--132. ( published version)
With D. Ginzburg, On Spin L-functions for GSO_{10}, J. Reine Angew. Math. 603 (2007), 183-213
With W.T. Gan, The Spin L function of quasi-split D_4, IMRP Int. Math. Res. Pap. 2006, Art. ID 68213. ( published version)
With D. Ginzburg, A New Tower of Rankin-Selberg Integrals, Electron. Res. Announc. Amer. Math. Soc. 12 (2006), 56-62.
With D. Ginzburg, Multi-variable Rankin-Selberg Integrals for Orthogonal Groups. IMRN 58 (2004), 3097-3121 (published version)
Siegel zeros of Eisenstein series on GL(n), Ph. D. Thesis, Columbia University, 2002

At some point, perhaps I will add a description of my research suitable for students curious about what I do.

Teaching Links Goldfeld-Hundley Errata


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