**Email: **quinlan@math.utah.edu

**Office: ** JWB 209

I am a postdoc (Wylie Assistant Professor) in the Department of Mathematics of the University of Utah. Before that I was a graduate student at University of Michigan, where my advisor was Karen Smith. I got my undergraduate degree from the University of Glasgow, with a one year exchange at the National University of Singapore. I am from El Escorial, in Spain.

You can see my CV ** **here, last updated on September 2021.

** Research: ** I am interested in rings of differential operators and their applications to commutative algebra and algebraic geometry. In particular, I have been studying positive-characteristic analogues of Bernstein-Sato polynomials and the structure of rings of differential operators on singular algebras.

- Bernstein-Sato theory for singular rings in positive characteristic. arXiv

With J. Jeffries and L. Núñez-Betancourt.*Submitted* - Symmetry on rings of differential operators. arXiv.
*Journal of Algebra, 2021.* - Bernstein-Sato roots for monomial ideals in positive characteristic. arXiv.

*Nagoya Math Journal, 2020.* - Bernstein-Sato theory for arbitrary ideals in positive characteristic. arXiv.

*Transactions of the AMS, 2020.*

** DOCAS: ** I co-organize the Differential Operators in Commutative Algebra Seminar, which happens in the summers over Zoom. Website.

** Notes: ** All comments welcome and appreciated!

- My thesis: Bernstein-Sato theory in positive characteristic. PDF.
- A Lecture Series on Differential Operators. PDF.
- Morita equivalence. PDF.
- Analysis notes for the QR exam at the University of Michigan. PDF.
- Slides for my talk at the 41st Japan Symposium on Commutative Algebra. PDF.

** Teaching: **

- Spring 2022: MATH3160 Applied Complex Variables.
- Fall 2021: MATH1220 Calculus II.
- Fall 2020: MATH116 Calculus II (Graduate Student Instructor).
- Winter 2020: MATH116 Calculus II (Graduate Student Instructor).
- Summer 2018: Fibonacci Numbers [MMSS] (Course Assistant).
- Summer 2017: Fibonacci Numbers [MMSS] (Course Assistant).
- Winter 2017: MATH115 Calculus I (Graduate Student Instructor).
- Fall 2016: MATH105 Precalculus (Graduate Student Instructor).

** Thesis template: ** Angus Chung and I developed a thesis template for LaTeX which is compatible with the requirements of the Rackham Graduate School, to which Yifeng Huang made later improvements. You can find the most up-to-date version of the template (as of April 2022) ** **here. The template has a few shortcomings, which are detailed in the README file. If you find a way to overcome them or otherwise improve the template, please let me know!