I am a PhD student in the math department at
MIT. My advisor is
Wei Zhang.
I have been supported by an NSF graduate research fellowship.

I am interested in number theory and arithmetic geometry. I have been working on topics
concerning special cycles on Shimura varieties, such as in Kudla's program.

I am on the job market during the 2024–2025 academic year.

**Curriculum vitae:**
[CV]

Listed in reverse order of first arXiv appearance (with arXiv year also indicated).
arXiv ID

Comments welcome!

Non-highlighted links such as [abstract] and some collaborator names may also be clicked.

**Faltings heights and the subleading terms of adjoint $L$-functions**

with
Weixiao Lu and
Wei Zhang.

In preparation.

[abstract]

**Co-rank 1 Arithmetic Siegel–Weil IV: Analytic local-to-global**

Preprint, pp. 1–69.

[abstract]
[arXiv (2024)]

**Co-rank 1 Arithmetic Siegel–Weil III: Geometric local-to-global**

Preprint, pp. 1–67.

[abstract]
[arXiv (2024)]

**Co-rank 1 Arithmetic Siegel–Weil II: Local Archimedean**

Preprint, pp. 1–29.

[abstract]
[arXiv (2024)]

**Co-rank 1 Arithmetic Siegel–Weil I: Local non-Archimedean**

Preprint, pp. 1–111.

[abstract]
[arXiv (2024)]
[video (2024)]
[combined I–IV]

**A refined conjecture for the variance of Gaussian primes across sectors**

with Yujin H. Kim,
Jared D. Lichtman,
Steven J. Miller,
Alina Shubina,
Shannon Sweitzer,
Ezra Waxman,
Eric Winsor,
and Jianing Yang.

*
Experimental Mathematics
*, vol. 32 no. 1 (2023), pp. 33–53.

[abstract]
[arXiv (2019)]

**$p$-adic Properties of Hauptmoduln with Applications to Moonshine**

with Samuel Marks
and Matt Tyler.

*
Symmetry, Integrability, and Geometry: Methods and Applications (SIGMA)
*, vol. 15 (2019), pp. 1–35.

[abstract]
[arXiv (2018)]

**Lower-Order Biases in the Second Moment of Dirichlet Coefficients in Families of $L$-functions**

with Megumi Asada,
Eva Fourakis,
Yujin Hong Kim,
Andrew Kwon,
Jared Duker Lichtman,
Blake Mackall,
Steven J. Miller,
Eric Winsor,
Karl Winsor,
Jianing Yang,
and Kevin Yang.

*
Experimental Mathematics
*, vol. 32 no. 3 (2023), pp. 431–456.

[abstract]
[arXiv (2018)]

**Spectral statistics of non-Hermitian random matrix ensembles**

with Yujin H. Kim,
Jared D. Lichtman,
Steven J. Miller,
Shannon Sweitzer,
and Eric Winsor.

*
Random Matrices: Theory and Applications
*, vol. 8 no. 2 (2019), pp. 1–40.

[abstract]
[arXiv (2018)]

**On Reay's relaxed Tverberg conjecture and generalizations of Conway's thrackle cojecture**

with Megumi Asada,
Florian Frick,
Frederick Huang,
Maxwell Polevy,
David Stoner,
Ling Hei Tsang,
and Zoe Wellner.

*
The Electronic Journal of Combinatorics
*, vol. 25 no. 3 (2018), pp. 1–14.

[abstract]
[arXiv (2016)]

**
Integer points on complements of dual curves and on genus one modular curves
**

Undergraduate thesis.

[abstract]
[readme]

Last updated: September 2024.