I am currently a postdoc at UMass Amherst. I received my PhD from
Caltech working with Dinakar Ramakrishnan.
Before that, I was an undergraduate at Princeton University.
My research interests are in number theory, with a focus on automorphic forms and Galois representations.
Papers and Preprints
-
Comparing Hecke coefficients of automorphic representations
(joint with Andrei Jorza, submitted)
( pdf )
-
On the equality case of the Ramanujan Conjecture for Hilbert modular forms
Submitted
( pdf )
-
On the number of dominating Fourier coefficients of two newforms
Proceedings of the American Mathematical Society (2018)
( pdf
|
journal )
-
Comparing Hecke eigenvalues of newforms
Archiv der Mathematik (2017)
( pdf
|
journal )
-
Irreducible adjoint representations in prime power dimensions, with an application
Journal of the Ramanujan Mathematical Society (2015)
( pdf
|
journal )
-
Central Critical values of twists of CM elliptic curves
(joint with Farshid Hajir and
Paul Gunnells)
In preparation
Teaching
- (2019 Spring, UMass) Math 300: Fundamental Concepts of Mathematics
- (2019 Spring, UMass) Math 235: Linear Algebra
- (2018 Fall, UMass) Math 471: Number Theory
- (2018 Fall, UMass) Math 235: Linear Algebra
- (2018 Spring, UMass) Math 235: Linear Algebra
- (2017 Fall, UMass) Math 411: Abstract Algebra
- (2017 Fall, UMass) Math 491A: Putnam Seminar
- (2017 Spring, UMass) Math 471: Number Theory
- (2017 Spring, UMass) Math 131: Calculus II
- (2016 Fall, UMass) Math 471: Number Theory
- (2016 Fall, UMass) Math 491A: Putnam Seminar
- (2016 Spring, UMass) Math 235: Linear Algebra
- (2015 Fall, UMass) Math 131: Calculus I
- (2015 Winter, Caltech) Math 1d: Sequences and Series
- (2014 Fall, Caltech) Math 17: Putnam Seminar
- (2013 Fall, Caltech) Math 17: Putnam Seminar
|