Research Interests:

My research interest lies at the intersection of number theory and arithmetic geometry. On the one hand, on the number theory side, I work on local-global representation theory, automorphic forms, and classical modular forms ; on the other hand, I pursue various projects on elliptic curves over global and local fields on the arithmetic geometry side. Another part of my research focuses on exploring the connection between number theory and arithmetic geometry using L-functions and Galois representations, which broadly comes under the Langlands Program. Recently, I have been also working on a few computational projects.

• On classical modular forms and automorphic forms.

See the articles 2, 8, 9, 10, 11, 14,15 listed below.


• On elliptic curves over number fields and local fields.

See the articles 3, 5, 6, and 13 listed below.


• Connection between number theory and arithmetic geometry.

See the articles 12, 16, 18 below.


• Computational Projects.

See the article 4 below.

Publications and Preprints:

(The versions below might differ slightly from their published counterparts.)

1. The integral Hasse principle for stacky curves associated to a family of generalized Fermat equations (with Juanita Duque-Rosero , Christopher Keyes, Andrew Kobin, Soumya Sankar, and Yidi Wang).
   Preprint, 2025.


2. The quaternionic Maass Spezialschar on split SO(8) (with Jennifer Johnson-Leung, Finn McGlade, Isabella Negrini and Aaron Pollack).
   J. Lond. Math. Soc. (2) 114 (2026), no. 2, Paper No. e70652, DOI.


3. Towards a classification of p^2-discriminant ideal twins over number fields (with Alyson Deines, Asimina S. Hamakiotes, Andreea Iorga, Changningphaabi Namoijam, and Lori D. Watson).
   In Research directions in number theory, 55-77. Assoc. Women Math. Ser., 39 (2026), Springer, Cham, DOI.


4. Creating a dynamic database of finite groups (with Lewis Combes, John W. Jones, Jennifer Paulhus, David Roe, and Sam Schiavone).
   In LuCaNT: databases, algorithms, and computational number theory, 119-139, Contemp. Math., 840 (2026), Amer. Math. Soc., RI, DOI.


5. Prime isogenous discriminant ideal twins (with Alexander J. Barrios, Alyson Deines, Maila Hallare, and Piper Harris).
   J. Number Theory 287 (2026), 31–71, DOI.


6. Local data of elliptic curves under quadratic twist (with Alexander J. Barrios, Nandita Sahajpal, Darwin Tallana, Bella Tobin, and Hanneke Wiersema).
   Res. number theory 11 (2025), no. 3, Paper No. 75, 39 pp., DOI.


7. Supercongruences arising from Ramanujan-Sato Series (with Angelica Babei , Holly Swisher, Bella Tobin, and Fang-Ting Tu).
   Results Math 80 (2025), no. 6, Paper No. 184, 52 pp., DOI.


8. Classical and adelic Eisenstein series (with Ralf Schmidt and Shaoyun Yi).
   To appear in Rocky Mountain J. Math.


9. Generalized Ramanujan-Sato Series Arising from Modular Forms (with Angelica Babei , Lea Beneish , Holly Swisher, Bella Tobin, and Fang-Ting Tu).
   In Research Directions in Number Theory, 87-131, Assoc. Women Math. Ser., 33 (2026), Springer, Cham, DOI.


10. Dimension formulas for Siegel modular forms of level 4 (with Ralf Schmidt and Shaoyun Yi, and with an appendix "Modular forms of Klingen level 4 and small weight" by Cris Poor and David Yuen), Mathematika 69 (2023), no. 3, 795-840, DOI.


11. The completed standard L-function of modular forms on G_2 (with Fatma Çiçek, Giuliana Davidoff, Sarah Dijols, Trajan Hammonds, and Aaron Pollack).
    Math. Z. 302 (2022), 483–517, DOI.


12. Representations attached to elliptic curves with a non-trivial odd torsion point (with Alexander J. Barrios).
    Bull. Lond. Math. Soc. 54 (2022), no. 5, 1846–1861., DOI.


13. Local data of rational elliptic curves with non-trivial torsion (with Alexander J. Barrios).
    Pacific J. of Math. 318 (2022), No.1,1-42, DOI.


14. Congruences for dimensions of spaces of Siegel cusp forms and 4-core partitions (with Chiranjit Ray and Shaoyun Yi).
    Ramanujan J. 58 (2022), 1011-1023, DOI.


15. On counting cuspidal automorphic representations for GSp(4) (with Ralf Schmidt and Shaoyun Yi).
    Forum Math. 33 (2021), no. 3, 821-843, DOI.


16. Paramodular forms coming from elliptic curves.
    J. Number Theory 233 (2022), 126-157, DOI.


17. Elliptic curves and paramodular forms.
    Doctoral dissertation, University of Oklahoma, 2019.


18. Level of Siegel modular forms constructed via sym^3 lifting.
    Automorphic forms and related topics, Contemp. Math.,732 (2019), 225-227, DOI.