I am an Assistant Professor at UVM in the Department of Mathematics and Statistics. I was born in Montréal, Canada, and I speak French and English fluently. My pronouns are she/her and I am a cis, heterosexual white woman and a québéboise. You can find me on Twitter, I am @xl772.

Research
My research is in number theory and arithmetic geometry, with an emphasis on applications to cryptography. More precisely, I am currently working on a paper on the equidistribution of joint shapes of number fields and their resolvent field with Piper H. I am also finalizing an article on the construction of CM hyperelliptic Jacobians of dimension 3, which is going to be my fifth article on this or related topics. I enjoy computational number theory and am a contributor to the LMFDB and to SageMath.

Teaching
In my practice as a teacher, my focus is on noncoercive teaching techniques and universal design. I want my classroom to be a human, joyful space, in which all students feel welcome and cared for. My current focus is on eliminating ableism from my teaching, and I welcome comments and concerns to this effect.

Service
I believe that the joy of mathematics is a human right, and my professional mission is to create spaces that are joyful and comfortable for all mathematicians but center people who have been historically excluded from mathematics. I co-organized the first Rethinking Number Theory workshop and co-founded the Math Summer Program for Inclusive Excellence (SPIE). I am also an organizer of the Connecticut Summer School in Number Theory.

Advising
I am the PhD/thesis adviser to Anton Hilado, Sarah Days-Merrill, Jesse Franklin, and Holly Paige Chaos. I am also working closely with Krystal Maughan who is a PhD student in CS. Finally, I am masters thesis adviser to Annie Zhang. Unfortunately at this time I am not taking any more research students at any level.

Funding
My research is generously supported by the NSF (DMS-1802323) and the Thomas Jefferson Fund of the French-American Cultural Exchange Foundation

Contact Info

That's me

christelle dot vincent at uvm.edu
Office: Innovation E445
The University of Vermont
Dept of Math and Stats
82 University Place
Burlington, VT 05405
Phone: (802) 656-4353
Fax: (802) 656-2552