My research interests lie in the intersection of number theory and statistical mechanics, specifically in using physics-inspired techniques such as solvable lattice models and quantum groups to study automorphic forms and their coefficients. These seemingly unrelated topics are deeply connected through combinatorial representation theory (see my Research page for more specifics and for a list of my papers.) One of my favorite facets of this interdisciplinary topic is that it is an ocean of mathematical questions: there are research questions to ask at every level, from beaches of projects suitable for undergraduates who just finished Linear Algebra to career-long quests in the deeps.

I also love learning and talking about math pedagogy. I employ inquiry-based classes as a fundamental part of my courses, and I encourage my students to find new ways to make their learning their own. (For example, see my Teaching page for a discussion of the final "unessay" projects in my Topics in Cryptography course at Boston.)

Additionally, one facet of my NSF postdoc is working on the grant "Developing Exemplary Mathematics Teacher Leaders for High-Need Schools: Content, Equity and Leadership" hosted at Boston College. This project works with high school educators in high-needs schools in Boston to bridge the gap between high school and college mathematics education and prepare their students for success. I hope to run or join such a project as part of my long-term commitment to equitable math education. See my Service & Equity page for other aspects of my work towards equity in math.

I love running undergraduate research projects: see my Research page for examples of these projects. If you're an undergrad at Boston College interested in doing research, please email me!

Outside of mathematics, I enjoy reading, hiking, playing tabletop games, crafting, dancing, and hanging out with my two cats.

Contact me

Email: frechecl@bc.edu

Office:  Maloney 521