NSERC Postdoctoral Scholar
My research is rooted in analytic number theory and its connections to algebraic structures. I have investigated problems concerning the distribution of prime numbers, zeros of L-functions, the Chebotarev density theorem, and binary quadratic forms. These have led to interesting applications involving elliptic curves, modular forms, torsion in class groups, and mass equidistribution on the modular surface. Recently, I have also been studying questions in arithmetic statistics and multiplicative function theory.
I also organize the Stanford Analytic Number Theory learning seminar. The goal of the seminar is to explain modern and emerging ideas in the field. Speakers usually select recent articles based on their own interests but may also talk about their research.
Papers are listed in reverse chronological order. Titles link to arXiv.org but these may differ slightly from the published journal articles.
In 2019 Spring, I will be teaching MATH 106 Functions of a Complex Variable and MATH 122 Modulues and Group Representations. All course materials will be on Canvas and the syllabus will appear there about a week before classes begin.
As an instructor, I want my students to actively engage in the classroom, to develop strong analytical skills for their future studies and careers, and to build a deeper appreciation for mathematics. How Learning Works and an AMS blog series on active learning are excellent expositions that have motivated my approach. Other online teaching resources I like to use are also shared below.
|2017-18 Spring||MATH 52 Integral Calculus of Several Variables|
|2017-18 Winter||MATH 106 Functions of a Complex Variable|
University of Toronto
|2016-17 Winter||MAT135 Calculus I(A) Differential Calculus of a Single Variable|
|2016-17 Fall||MAT186 Calculus I for Engineers|
|2015-16 Summer||MAT136 Calculus I(B) Integral Calculus of a Single Variable|
|2015-16 Fall||MAT186 Calculus I for Engineers|
|2014-15 Fall||MAT186 Calculus I for Engineers|
|2013-14 Summer||MAT136 Calculus I(B) Integral Calculus of a Single Variable|