I am a math PhD candidate at UC Berkeley, advised by Sug Woo Shin. I am interested mainly in number theory, in particular automorphic representations.
Email: first name DOT last name AT berkeley DOT edu
Office: Evans 835
Murmurations in the Depth Aspect for Maass and Modular Forms. Preprint
Artin's Conjecture for Abelian Varieties with Frobenius Condition (with F. Heß), Journal of Number Theory (2026), Vol. 281, pp. 43-58
My Qualifying Exam Syllabus is here and rough transcript here.
Some interesting math things I learned about at some point and decided to write up:
Automorphic Stuff:
Automorphic Forms, Representations and Other Things (Qualifying Exam preparation notes)
Adelic Fourier Series
Spherical Representations of $p$-adic Groups
Representations of GL_2 over
Nonarchimedean Fields
Other Number Theory:
Igusa's Zeta Functions and Generalizations (Notes for a talk)
Primitive Roots using $p$-adic Numbers
An Example of Chebotarev's Density Theorem for Infinite Extensions
Some problems on Dirichlet characters and L-Functions (for DRP)
Functional Analysis:
The Spectral Theorem
A nice application of the Krein-Milman theorem
Linear Algebra:
A Formula for the Orthogonal Projection.
Ideas for projects
I am/was a DRP mentor:
Spring 2026. Multiple mentees. Topics: Elliptic curves, Elliptic Curve and Lattice cryptography, sphere packings.
Fall 2025. Topics: Dirichlet's Theorem on Primes in Arithmetic Progressions, Modular forms. Some problems on Dirichlet characters and L-Functions
Spring 2024. Topic: Dirichlet's Theorem on Primes in Arithmetic Progressions.
Some external resources for Math 3:
Alexander Paulin's course 'Precalculus Essentials'
MyOpenMath
Mathematics Tutoring Program at the Student Learning Center (SLC) : Find community and academic support on campus at the SLC! The SLC offers free drop-in tutoring for all lower division courses. Tutoring services are offered Monday - Thursday from 1:00 - 6:00 pm. For more information visit the SLC Website here.
SLC adjunct course
pi-base: data base with bunch of examples and properties of topological spaces
ringtheory: data base with bunch of examples and properties of rings and modules
adjectivesproject: data base with bunch of examples and properties of schemes and their morphisms
SL2(Z)
Approach0: a search engine suitable for math expressions
Proof of the Snake lemma
Classics Explained: YouTube channel with nice animated videos explaining the context of some famous classical musical works.
Skat Lernen: (in German) YouTube channel with lots of videos on the German card game Skat