My research investigates the structure of certain arithmetic invariants arising in algebraic number theory. Specifically, I seek to develop new algebraic techniques to explore classical questions about the reciprocity between Hecke algebras and Galois deformation rings conjectured in the Langlands program. I also study the behavior of ideal class groups in families of number fields.

From October 2018-July 2020, my work was supported by a Heilbronn Research Fellowship. From July 2017-June 2018, my research was supported by an AAUW American Dissertation Fellowship and the University of Oregon Doctoral Research Fellowship. My research was partially supported by a GAANN Fellowship from Jan 2013 to May 2015.

Papers and Preprints


  • Higher congruences between modular forms. Poster about my research for a general math audience; presented in the graduate student poster session at the 2017 AWM Joint Mathematics Meetings Workshop in Atlanta, GA.



  • This MAGMA code implements the algorithm give in Section 4.2 of Higher Congruences Between Newforms and Eisenstein Series of Squarefree Level.
  • This Python code uses PARI to calculate the values given in Tables 3.1 and 3.2 of Two Classes of Number Fields with a Non-Principal Euclidean Ideal.

With some fellow number theorists at the WIN4 workshop