working girl

About

I am a current Ph.D. candidate at the University of Vermont in the Mathematics Department with a Graduate Teaching Assistantship. I thoroughly enjoy teaching at the college level and hope to continue upon graduation (anticipated May 2024). During the summers of 2020 and 2021, I was a Graduate Research Assistant working under the supervision of my Ph.D. advisor, Dr. Christelle Vincent. During this time, I also advised two undergraduate students on research projects. Together, we explored Ring Learning with Errors (RLWE), which are latticed-based cryptography problems.

I received a Bachelor's Degree at Bridgewater State University in Bridgewater, MA in May 2019. I majored in Mathematics with concentrations in both Pure Math and Statistics. I also had a minor in Computer Science. During the 2018-2019 school year, I taught a supplementary course that accompanied Calculus I for undergraduates in STEM called "Problem Solving in Math."

When I am not in the classroom, I enjoy yoga, watching movies (especially Disney movies), and knitting scarves, hats, and blankets. I've recently taught myself how to crochet. I have also been cooking and baking a ton; I am having a lot of fun making fresh pasta!

Teaching

A list of courses taught:

  • Bridgewater State University
    • Fall 2018 - Math 143 Problem Solving in Mathematics
    • Spring 2019 - Math 143 Problem Solving in Mathematics
  • University of Vermont
    • Fall 2019 - Math 019 Fundamentals of Calculus I
    • Spring 2020 - Math 019 Fundamentals of Calculus I
    • Fall 2020 - Math 019 Fundamentals of Calculus I (remote)
    • Spring 2021 - Math 009 College Algebra (remote)
    • Fall 2021 - Math 009 College Algebra
    • Spring 2022 - Math 009 College Algebra
    • Fall 2022 - Math 010 Pre-Calculus Mathematics
    • Spring 2023 - Math 009 College Algebra (hybrid)
    • Fall 2023 - Math 1012 College Algebra (hybrid)

Research

My current area of research is in Algebraic Number Theory and Cryptography. Specifically, I have been working on Ring Learning with Errors (RLWE) with my Ph.D. advisor Dr. Christelle Vincent. Lattice-based cryptosystems are showing to be a strong candidate for post-quantum encryption. We are studying the various sampling algorithms for which small error terms are drawn, as well as, working towards generalizing the Polynomial Ring Learning with Errors (PLWE) problems.

Past Research Papers