Hi, I am Leonard, I am a math student at UC Berkeley, interested mainly in number theory. Besides number theory I am also curious about various other areas in mathematics, in particular some topics in analysis. I am currently studying automorphic L-functions and trace formulae.
Email: first name DOT last name AT berkeley DOT edu
Office: Evans 835
Artin's Conjecture for Abelian Varieties with Frobenius Condition (with F. Heß)
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
Functional Analysis:
The Spectral Theorem
A nice application of the Krein-Milman theorem
Linear Algebra:
A formula for the orthogonal projection.
Since I found it extremely annoying to have to download the chapters in books on De Gruyter one by one, I wrote this little script to automate the process.
I was a DRP mentor:
Spring 2024: Dirichlet's Theorem on Primes in Arithmetic Progressions
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