Research interests

Analytic number theory, automorphic forms, partitions, quadratic forms.

 Publications

1. An effective version of the Kuznetsov trace formula for GSp(4). (with F. Comtat, D. Lesesvre)
   Submitted for publication. (arXiv)

2. Pythagoras numbers for infinite algebraic fields. (with N. Daans, S. Gajović, P. Yatsyna)
   Submitted for publication. (arXiv)

3. Most totally real fields do not have universal forms or Northcott property. (with N. Daans, V. Kala, M. Widmer, P. Yatsyna)
   Proc. Natl. Acad. Sci. (USA) 122:20 (2025), Article e2419414122, 8pp. (arXiv)

4. Sails for universal quadratic forms. (with V. Kala)
   Selecta Math. (N.S.) 31 (2025), Article 26, 31 pp. (arXiv)

5. Universal quadratic forms and Northcott property of infinite number fields. (with N. Daans, V. Kala)
   J. Lond. Math. Soc. (2) 110:5 (2024), Article e70022, 20 pp. (arXiv)

6. Minimal rank of universal lattices and number of indecomposable elements in real multiquadratic fields.
   Adv. Math. 447 (2024), Article 109694, 38 pp. (arXiv)

7. Distributions of parity differences and biases in partitions into distinct parts.
   European J. Combin. 127 (2025), Article 104157, 24 pp. (arXiv)

8. Asymptotics of parity biases for partitions into distinct parts via Nahm sums. (with K. Bringmann, L. Rolen, M. Storzer)
   Proc. Lond. Math. Soc. (3) 129:6 (2024), Article e70010, 40 pp.  (arXiv)

9. Unimodality of ranks and a proof of Stanton's conjecture. (with K. Bringmann, L. Rolen)
   Submitted for publication. (arXiv) (List of constants here)

10. Bounds for Kloosterman sums on GL(n). (with V. Blomer)
    Math. Ann. 390 (2024), 1171-1200. (arXiv)

11. A Density Theorem for Sp(4).
    J. Lond. Math. Soc. (2) 105:4 (2022), 2047-2075. (arXiv) (corrigenda)

12. Symplectic Kloosterman sums and Poincaré series.
    Ramanujan J. 57:2 (2022), 707-753. (arXiv)

13. Fourier coefficients of Sp(4) Eisenstein series.
    Acta Arith. 213:3 (2024), 227-271. (arXiv)

14. Interesting identities involving weighted representations of integers as sums of arbitrarily many squares. (with M. Jang, B. Kane, W. Kohnen)
    Proc. Natl. Acad. Sci. (USA) 116:39 (2019), 19374-19379. (arXiv)

15. The Bruinier–Funke pairing and the orthogonal complement of unary theta functions. (with B. Kane)
    in J. Bruinier, W. Kohnen (Eds.), ''L-functions and automorphic forms'', Contributions in mathematical and computational sciences 10 (2017), Springer, 139-157. (arXiv)

Thesis

Symplectic automorphic forms and Kloosterman sums. Doctoral thesis, Universität Bonn (2021). (Link)

Miscellaneous

1. Almost Universal Weighted Ternary Sums of Polygonal Numbers. (with A. Mehta) (arXiv)