The following research was produced by this TRT:
- Y. Choie and J. R. Getz, Schubert Eisenstein series and Poisson summation for Schubert varieties, American Journal of Mathematics 147 (2025) no. 3, 597–653.
- J. R. Getz, P. Gu, C-H. Hsu and S. Leslie, Triple product L-functions and the fiber bundle method.
- J. R. Getz, A. Gutiérrez Terradillos, F. Hosseinijafari, B. Hu, S. Lee, A. Slipper, M-H. Tomé, H-Y. Yao, A. Zhao, Modulation groups.
- J. R. Getz, A. Gutiérrez Terradillos, F. Hosseinijafari, A. Slipper, G. Xi, H-Y. Yao, A. Zhao, The ρ-Schwartz space.
- J. R. Getz, H. Hahn, and H-Y Yao, Triple product L-functions and the Ramanujan conjecture.
- J. R. Getz, Summation formulae for quadrics, Sel. Math. New Ser. 31, 41 (2025).
- J. R. Getz, C-H. Hsu and S. Leslie, Harmonic analysis on certain spherical varieties, J. Eur. Math. Soc. (JEMS) 27 (2025), no. 2, 433–541.
- J. R. Getz and C-H. Hsu, The Fourier transform for triples of quadratic spaces, Ann. Inst. Fourier, accepted.
- J. R. Getz and B. Liu, A refined Poisson summation formula for certain Braverman-Kazhdan spaces, Sci. China Math., Vol. 64 (2021) 1127-1156 arXiv.
- J. R. Getz, A summation formula for the Rankin-Selberg monoid and a nonabelian trace formula, American J. of Math., Vol. 142, No. 5 (2020) 1371-1407.
- J. R. Getz and B. Liu, A summation formula for triples of quadratic spaces, Adv. Math., Vol 347, (2019) 150-191. arXiv.
- P. Gu, Automorphic-twisted summation formulae for pairs of quadratic spaces.
- C-H. Hsu, Asymptotics of Schwartz functions.
- A. Slipper, Non-Abelian Fourier Transforms and Normalized Intertwining Operators for General Parabolics over Finite Fields, and the Kloosterman Fourier Transform for Quadric Cones.
For general background, see Chapters 10-12 of
An Introduction to Automorphic Representations: With a view toward trace formulae
