Eamon Quinlan-Gallego

Email: su.se@nalniuqe

I am a Ramón y Cajal Researcher in the Department of Algebra at the Universidad de Sevilla. Before this I was a postdoc at University of Illinois Chicago and at the University of Utah, and prior to that a graduate student at University of Michigan, where my advisor was Karen Smith. I obtained my undergraduate degree at the University of Glasgow.

 

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.

• Plus-pure thresholds of some cusp-like singularities in mixed characteristic. arXiv.
  With H. Cai, S. Pande, K. Schwede and K. Tucker.
  Submitted.
• Bernstein-Sato theory modulo p^m. arXiv.
  With T. Bitoun.
  Épijournal de Géométrie Algébrique, 2025.
• Flat morphisms with regular fibers do not preserve F-rationality. arXiv.
  With A. Simpson and A. Singh.
  Revista Matemática Iberoamericana, 2024.
• A formalism of F-modules for rings with complete local finite F-representation type. arXiv.
  International Mathematics Research Notices, 2024.
• Bernstein-Sato theory for singular rings in positive characteristic. arXiv.
  With J. Jeffries and L. Núñez-Betancourt.
  Transactions of the AMS, 2023.
• 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.

Some 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.

Teaching:

• Spring 2026: MATH571 D-modules.
• Fall 2025: MATH210 Calculus III.
• Summer 2024: Summer High School Program.
• Fall 2024: MATH3160 Applied Complex Variables.
• Fall 2023: MATH1220 Calculus II.
• Summer 2022: Summer High School Program.
• 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).