These may differ slightly from the published versions. If you have any comments or corrections, please email me.
- A nonabelian circle method (with N. Arala, J. Hou, C-H. Hsu, H. Li, and V. Wang).
- Summation formulae for quadrics.
- Schubert Eisenstein series and Poisson summation for Schubert varieties (with Y. Choie), American J. Math, accepted.
- Harmonic analysis on certain spherical varieties (with C-H. Hsu and S. Leslie), J. Eur. Math. Soc, accepted.
- The Fourier transform for triples of quadratic spaces (with C-H. Hsu), Annales de l’institut Fourier, accepted.
- A refined Poisson summation formula for certain Braverman-Kazhdan spaces (with B. Liu), Sci. China Math., Vol. 64 (2021) 1127-1156 arXiv.
- A summation formula for the Rankin-Selberg monoid and a nonabelian trace formula, American J. of Math., Vol. 142, No. 5 (2020) 1371-1407.
- A summation formula for triples of quadratic spaces (with B. Liu), Adv. Math., Vol 347, (2019) 150-191. arXiv.
- 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 (2018) 351-373.
- 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.