I am a second-year MSc by Research student at the University of Oxford, supervised by James Maynard. I am interested in analytic number theory and its intersection with automorphic forms. I am currently working on problems related to zero density estimates for automorphic L-functions and applications of spectral methods to classical problems in analytic number theory.
In 2025, I earned my bachelor’s degree at the University of Virginia where I was advised by Ken Ono.
I am supported by a 2025 Marshall Scholarship.
Publications
In preparation:
Zero density estimates for GL2 automorphic L-functions, 2026.
Published:
Overpartitions with parts separated by parity (with Kathrin Bringmann and William Craig), Canadian Mathematical Bulletin, 2026. [arXiv: 2507.16769]
Hook length biases for self-conjugate partitions and partitions with distinct odd parts, The Journal of Number Theory, 2025. [arXiv: 2406.18480]
Patterns of primes in Sato–Tate distributions (with Anas Chentouf, Samuel Goldberg, and Jack Miller), The Journal of Number Theory, 2024. [arXiv: 2308.06632]
Hecke nilpotency for modular forms mod 2 and an application to partition numbers (with Sharon Zhou), The Ramanujan Journal, 2023. [arXiv:2207.14768]
Selected Talks
FOUVRY-73 Summer School, EPFL: Zero density estimates for degree 2 L-functions, 2026
University of Virginia, The Guth–Maynard innovation and Chebotarev sets, 2025
University of Cologne Number Theory Seminar, Patterns of primes in joint Sato–Tate distributions, 2024
Max Planck Institute Number Theory Lunch Seminar, Patterns of primes in joint Sato–Tate distributions, 2024
UVA Ramanujan–Serre Number Theory Seminar, Patterns of primes in joint Sato–Tate distributions, 2023
Seminar in Partition Theory and q-series at Michigan Technological University, Hecke nilpotency for modular forms mod 2 and an application to partition numbers, 2022
Conference Attendance
EPFL, Lausanne: FOUVRY-73 Summer School on analytic number theory, 2026
Będlewo Palace, Poland: Building Bridges 7 Summer School on automorphic forms and related topics, 2026
Rényi Institute, Budapest: Simons School and Workshop on discrete harmonic analysis and analytic number theory, 2026
WOMBL (Warwick-Oxbridge-Manchester-Bristol-London) on additive combinatorics and analytic number theory, 2025-26
Oxford: Clay Research Conference and Workshop on Zeta and L-functions, 2025
Institute for Advanced Study, Princeton: Women+ and Mathematics on the Langlands program and Deligne–Lusztig theory, 2024
Vanderbilt University, Nashville: International Conference on L-functions and Automorphic Forms, 2024
Awards
Marshall Scholarship, 2025-27
NSF Graduate Research Fellowship (declined), 2025
E.J. McShane Prize, 2025
Barry Goldwater Scholarship, 2024
Edwin E. Floyd Prize, 2023
J. Mack Robinson Jefferson Scholarship, 2021-25
Link to my full CV
Contact
catherine.cossaboom-at-maths.ox.ac.uk
Mathematical Institute, University of Oxford
Andrew Wiles Building
Oxford
OX2 6GG
Catherine Cossaboom 