Hello! I am a PhD Student in the Department of Mathematics at Boston University. I completed my B.A. in mathematics at the University of Chicago. My advisor is Jennifer Balakrishnan.
My work is supported by a Clare Boothe Luce Fellowship and an NSF Graduate Research Fellowship.
E-mail: svh [at] bu [dot] edu
Office: MCS B32
I am broadly interested in number theory and algebraic geometry. More specifically, I am interested in rational points and explicit methods in arithmetic geometry.
38406501359372282063949 & all that: Monodromy of Fano Problems (with Borys Kadets).
Chabauty-Coleman computations on rank 1 Picard curves (with Travis Morrison).
Computing rational points on rank 0 genus 3 hyperelliptic curves (with María Inés de Frutos-Fernández).
Here are some expository notes with Hannah Larson on the geometric quadratic Chabauty theory of Edixhoven and Lido (these are a work in progress).
Here are slides from my talk at Wesleyan about my recent work on computing rational points on a database of genus 3 curves with small Mordell-Weil rank using Chabauty-Coleman methods. This is joint work with María Inés de Frutos-Fernández and Travis Morrison.
In Fall 2019 I organized Gross Zagier Seminar, BU's Student Number Theory Seminar.
Proof School, 2015-2017, middle and high school teacher
University of Michigan, Calculus 115, Graduate Student Instructor, 2014 - 2015 academic year
Canada/USA Mathcamp, summers 2014, 2015, 2016, 2019
Love Math!, a festival for girls, co-founder and co-director, since 2016
Directed Reading Program at Boston University, co-founder and co-director