Office: East Hall 5080
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.
- 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.
- 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).