Jesse Franklin's website

Department of Mathematics and Statistics

University of Vermont


Areas of interest: Algebraic Geometry, Number Theory (more details below)

My CV.

Important Notice:

Next year (2024-2025) I will be a Visiting Postdoctoral Fellow at Tata Institute of Fundamental Research. When I have it, I will try to update this webpage with a link to a new Tata-hosted page. In the meantime, please contact me at



  1. Number Theory.
  2. Algebraic Geometry.
  3. Arithmetic Geometry.

Specific Interests:

  1. Explicit Computations with Stacks.
  2. Canonical Rings of Stacks.
  3. Drinfeld setting - modular forms and modular curves.
  4. Rigid Analytic Geometry.
  5. Shtukas.
  6. Differential Algebra.

A Recent Research Statement.

UVM Number Theory Seminar

I organized unQVNTS, the UVM Number Theory and Algebra Seminar, for the 2022-2023 Academic Year.


  1. Poster for AGNES @UPenn October 2023 -- The Geometry of Drinfeld Modular Forms.
  2. Lightning talk slides Geometry of Drinfeld Modular Forms @ the first ever Dartmouth-UVM Math Day 2/10/2024.
  3. Slides Geometry of Drinfeld Modular Forms @ Workshop on Number Theory in Function Fields at Penn State 3/12/2024.
  4. Slides Computing the Canonical Rings of Certain Stacks -- Thesis Defense 3/18/2024.

Some documents I wrote:

  1. The Geometry of Drinfeld Modular Forms (Preprint - submitted at Journal of Number Theory).
  2. Section Rings of Q-divisors on Genus-1 curves (Preprint - submitted at Math Research Letters) --- joint with Michael Cerchia and Evan O'Dorney.
  3. Computing the Canonical Ring of Certain Stacks (Thesis) --- Defended March 18, 2024.
  4. (Translation) Lecture Notes by A. Beauville in a Szpiro seminar about Pencils of Curves of Genus at least 2, called The Minimal Number of Singular Fibers of a Stable Curve over P^1.


I am a graduate student in the Department of Mathematics and Statistics at the University of Vermont, and received my PhD in math on March 18, 2024. In May 2019 I recieved a Bachelors of Arts in Mathematics from the University of Colorado at Boulder with Latin honors. I spent my first year of undergrad at the Georgia Institute of Technology and then transfered to CU Boulder for my other two years.

My teaching background includes gymnastics coaching for the City of Boulder, tutoring with National Honors Society in high school, yoga instruction for CorePower Yoga during college and finally my TA work at UVM, where I have been instructor of record for my courses for five years. During this time I worked as a teaching assistant at the Park City Mathematics Institute during summer 2022, a program of the Institute for Advanced Study.

My research projects right now are about stacks in the Drinfeld setting.


My CV includes my most notable scholarships, honors and publications in detail. On May 10, 2023 I was awarded the John F. Kenney award for excellence in mathematics by the University of Vermont Department of Mathematics and Statistics. I want to ackowledge the Keller Family and the Ryan Keller Memorial Scholarship and my first algebra instructor Dr. Richard Green, both of which parties were crucial for my academic career.


Advisors: Christelle Vincent and Taylor Dupuy. UVM.

Former (BA) Advisor: Nat Thiem. CU Boulder.


A Recent Teaching Statement

My Syllabi are:

  1. Math 17 Sp 21.
  2. Math 19 F 19.
  3. Math 19 F 20.
  4. Math 19 Sp 20.
  5. Math 17 F 21.
  6. Math 10 S 22.
  7. Math 19 F 22.
  8. Math 19 S 23.
  9. Math 1034 F 23.
  10. Math 1034 B 24.

Recent teaching review: "I am sure that Newton, Leibniz, and many of their colleagues would not have objected to it. Lots of activity, especially for a class so early in the morning. He spoke and wrote clearly, had everything well organized, and he had good rapport with the students. As a Math 19 class, I cannot fault it."


I study numbers for a living, climb rocks, ski uphill both ways, read, and play games. Here is a link to some climbing videos, and maybe some day some math ones.

Here is a link to a super interesting paper about academic practice. I won't go so far as to say I completely agree with this thing in a blanket way, but it sure is thought provoking.