Research

My papers are also listed on arXiv and Google Scholar.

Publications and Preprints

1. Intersection complexes and unramified L-factors (with Y. Sakellaridis), submitted, 103 pp. (arXiv)
   
   • Some notes, slides (RT, NT) and videos from talks I gave.
     
     • 80 minute video, slides for talk at Columbia Automorphic Forms Seminar, October 9, 2020.
       
     • 90 minute video, notes for talk at Geometric Langlands Office Hours, October 14, 2020.
       
     • 60 minute video for talk at NUS Representation Theory and Number Theory Seminar, October 22, 2020.
       
2. Smooth non-admissible asymptotics for \(SL_2(\mathbb R)\), preliminary version, 12 pp.
   
3. On an invariant bilinear form on the space of automorphic forms via asymptotics, Duke Math. J. 167 (16), 2965-3057 (2018). (journal) (arXiv)
   
   • Here is a video of a talk I gave.
4. On the reductive monoid associated to a parabolic subgroup, J. Lie Theory 27 (3), 637-655 (2017). (journal) (arXiv)
   
5. On a strange invariant bilinear form on the space of automorphic forms (with V. Drinfeld), Selecta Math. (N.S.) 22 (4), 1825-1880 (2016). (journal) (arXiv)
   
6. Radon inversion formulas over local fields, Math. Res. Lett. 23 (2), 535–561 (2016). (journal) (arXiv)
   
7. A new Fourier transform, Math. Res. Lett. 22 (5), 1541–1562 (2015). (journal) (arXiv)
   

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Undergraduate work:

8. Thin Lehman matrices and their graphs, Electronic Journal of Combinatorics 17 (2010), R165.
   
9. A new infinite family of minimally nonideal matrices, Journal of Combinatorial Theory, Series A 118 (2011), 365-372.
   
10. The zero-divisor graph associated to a semigroup (with L. DeMeyer, L. Greve, and A. Sabbaghi), Communications in Algebra 38 (2010), 3370-3391.