Publications

These may differ slightly from the published versions. If you have any comments or corrections, please email me at the address above.

• A summation formula for triples of quadratic spaces, (with B. Liu),  Adv. Math., Vol 347, 150-191. arXiv.
• A refined Poisson summation formula for certain Braverman-Kazhdan spaces, (with B. Liu), submitted.
• Secondary terms in asymptotics for the number of zeros of quadratic forms over number fields, J. London Math. Soc., Vol. 98, No. 2 (2018) 275-305. arXiv.
• Nonabelian Fourier transforms for spherical representations, Pacific J. Math., Vol. 294, No. 2.
• A summation formula for the Rankin-Selberg monoid and a nonabelian trace formula American J. of Math., accepted.
• A four variable automorphic kernel function, Research in the Mathematical Sciences (2016), 3:20
• A general simple relative trace formula (with H. Hahn), Pacific J. Math., Vol. 277, No. 1 (2015) 99-118.
• A nonabelian trace formula (with P. E. Herman), Research in the Mathematical Sciences (2015)  2:14.
• Isolating Rankin-Selberg lifts (with J. Klassen), Proc. Amer. Math. Soc., Vol. 143 (2015) 3319-3329.
• Algebraic cycles and Tate classes on Hilbert modular varieties (with H. Hahn), Int. J. Number Theory, Vol. 10, No. 1 (2014) 161–176.
• An approach to nonsolvable base change and descent, J. Ramanujan Math. Soc., Vol. 27, No. 2 (2012) 143-211.
• Twisted relative trace formulae with a view towards unitary groups (with E. Wambach), American J. Math., Vol. 136 (2014) 1-57.
  Note: in section 10.4 of the published version the Jacobson density theorem was erroneously invoked where the Dixmier-Malliavin lemma should have been invoked.
• Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change (with M. Goresky), winner of the 2011 Ferran Sunyer i Balaguer Prize, Progress in Math.
• Intersection numbers of Hecke cycles on Hilbert modular varieties, American J. Math., Vol. 129, No. 6 (2007), 1623-1658.
• Systems of orthogonal polynomials arising from the modular j-function (with S. Basha, H. Nover, E. Smith), J. Math. Anal. and Appl., Vol. 289, No. 1 (2004), 336-354. Corrigendum.
• A generalization of a theorem of Rankin and Swinnerton-Dyer on zeros of modular forms, Proc. Amer. Math. Soc., 132 (2004), 2221-2231. Corrigendum.
• Partition identities and a theorem of Zagier (with K. Mahlburg), J. Comb. Theory (A), 100, (2002), 27-43.
• Extension of a theorem of Kiming and Olsson for the partition function, Ramanujan J., Vol. 5, No. 1 (2001), 47-51.
• On congruence properties of the partition function, Int. J. Math. and Math. Sci., Vol. 23, No. 7 (2000), 493-496.

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