Research
My research interests broadly include Algebraic Number Theory and Arithmetic Geometry, and my current research focuses on Arithmetic Topology, which explores the analogies between arithmetic and topology. In particular, I am interested in arithmetic invariants arising from Arithmetic Chern-Simons Theory as defined by Minhyong Kim and his collaborators. I am also interested in arithmetic analogues of linking phenomena in topology, such as arithmetic triple symbols which can be viewed as the arithmetic analogue of Milnor invariants, which are used in topology to detect links such as the Borromean Rings.
Please see also my arXiv, ORCiD, and Google Scholar profiles.
- Arithmetic Path Integrals and Linking Numbers (2026) - Doctoral Thesis supervised by M Kim. [PDF] [Edinburgh Research Archive]
- A Trace-Path Integral Formula over Function Fields (2026) - J. London Math. Soc. 114(2), e70664. [Journal] [arXiv]
Expository Articles
This section contains writeups and other expository articles.
- A Trace-Path Integral Formula over Function Fields (p. 12) - Report for the Oberwolfach Workshop 2617 "Low-dimensional Topology and Number Theory"
- Persistent Homology (2022) - A group project as part of the GlaMS PhD Training, written jointly with Malthe Sporring and Adrián Doña Mateo.
- Deforming Galois Representations (2022) - This is my Cambridge Part III Essay (Master's Thesis), written under the supervision of Professor Jack Thorne.
- On the q-analogue of Kostant's Partition Function (2021) - A summary of my undergraduate summer project supervised by Dr. Rong Zhou.