Publications and Talks
Publications
A metric approach to zero-free regions for $L$-Functions. (arXiv)
Effective correlation and decorrelation for newforms, and weak subconvexity for $L$-functions.
(With an appendix by Jesse Thorner, submitted 2024) (arXiv)Walking to Infinity Along Some Number Theory Sequences. (With Steven J. Miller, Fei Peng, Tudor Popescu, Joshua Siktar, and the Polymath REU program) Integers 24 (2024). (pdf)
An Alternative Approach to Computing $\beta(2k + 1)$. (With Naomi Tanabe) Integers 23 (2023). (pdf)
Walking to Infinity on the Fibonacci Sequence. (With Steven J. Miller, Fei Peng, Tudor Popescu)
Fibonacci Quart. 60 (2022), no. 5, pp. 293-299. (pdf)Modeling Random Walks to Infinity on Primes in $\mathbb{Z}[\sqrt{2}]$. (With Bencheng Li, Steven J. Miller, Daniel Sarnecki,
Tudor Popescu) J. Integer Seq. 25 (2022), 21 pp. (pdf)
Talks
- Annual Pure and Applied Mathematics (APAM) Conference Bangkok, Thailand, Jun 2025. †
- Conference in Number Theory and Applications Bangkok, Thailand, Jun 2025. †
- Automorphic Forms Workshop (AFW), Denton, TX, Apr 2025. †
- UIUC Graduate Student Number Theory Seminar, University of Illinois Urbana-Champaign, IL, Apr 2025.
- JMM: AMS Special Session on current directions in modular forms, Seattle, WA, Jan 2025.
- Kansas State University Graduate Student Number Theory Seminar, Sep 2024. (remote)
- Shandong University Number Theory Seminar, Jun 2024. (remote)
- Stanford University Graduate Student Number Theory Seminar, Apr 2024. (remote)
- UIUC Number Theory Seminar, University of Illinois Urbana-Champaign, IL, Mar 2024.
- UIUC Graduate Student Number Theory Seminar, University of Illinois Urbana-Champaign, IL, Mar 2024.
- UIUC Graduate Student Number Theory Seminar, University of Illinois Urbana-Champaign, IL, Nov 2023.
- The 20th International Conference on Fibonacci Numbers and Their Applications, University of Sarajevo, Jul 2022. (Remote)
- Honors Thesis for Bowdoin College Department of Mathematics, Brunswick, ME, May 2021. (Remote)
- The PAlmetto Joint Arithmetic, Modularity, and Analysis Series, Sep 2020. (Remote)
- Bowdoin college President's Summer Research Symposium, Brunswick, ME, Oct 2019.
Workshops and Conferences attended
- Jun 2025: APAM, Annual Pure and Applied Mathematics Conference, Bangkok, Thailand. †
- Jun 2025: CNA, Conference in Number Theory and Applications, Bangkok, Thailand. †
- Apr 2025: AFW, Automorphic Forms Workshop, Denton, TX †
- Mar 2025: MAGNTS, Midwest Arithmetic Geometry and Number Theory Conference, Columbus, OH
- Jan 2025: JMM, Joint Mathematics Meeting, Seattle, WA
- May 2024: Shanks Conference, International Conference on L-Functions and Automorphic Forms, Nashville, TN
- Oct 2023: MAGNTS, Midwest Arithmetic Geometry and Number Theory Conference, Ann Arbor, MI
- Jan 2023: Spring Opportunities, Institue of Advanced Study, NJ
- Summer 2022: CTNT, Connecticut Summer School in Number Theory 2022, Storrs, CT
- Summer 2019: PCMI Mathematics Undergraduate Summer School at Park city, UT
Links to slides/resources
- On the Dirichlet L-functions and the L-functions of Cusp Forms
- Modeling Random Walks to Infinity on Primes in $\mathbb{Z}[\sqrt{2}]$
- Walking to Infinity Along Some Number Theory sequences
- An Alternative Approach to Computing $\beta(2k + 1)$
- Study of Overlapped Triangles with the Maximal Overlapped Area under Translation and Rotation