I am a Visiting Assistant Professor of Mathematics at Bilkent University.
I recieved my PhD from the University of California, Berkeley, advised by Martin Olsson. My thesis was titled Picard Groups and Brauer Groups of Certain Stacks.
Read my Research Statement and CV.
My interests are in algebraic geometry: curves, moduli spaces, and stacks.
I completed my Bachelor's degree in mathematics at Arizona State University.
Office: SA Building, Room 116
Email: lopez [at] bilkent [dot] edu [dot] tr
Papers:
Chow Rings of Hurwitz Spaces with Marked Ramification, with Emily Clader, Zhengning Hu, Hannah Larson, and Amy Li, Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 28 (2026). https://doi.org/10.2422/2036-2145.202505_025
The Brauer Group of Y_0(2), with Niven Achenjang, Deewang Bhamidipati, Aashraya Jha, and Caleb Ji, Épijournal de Géométrie Algébrique, 10 (2026). https://doi.org/10.46298/epiga.2026.13916
The Brauer Group of BG and Gerbe Structures of Moduli Spaces, https://arxiv.org/abs/2601.05370 (submitted 2026).
Picard Groups of Stacky Curves, https://arxiv.org/pdf/2306.08227 (submitted 2026).
Invited Talks:
UC Santa Cruz Algebra and Number Theory Seminar, November 15, 2024
Emory Algebra and Number Theory Seminar, November 19, 2024
Teaching:
Fall 2026: Instructor and Course Coordinator for Math 227 Introduction to Linear Algebra
Spring 2026: Head Graduate Student Instructor for Math 16A Analytic Geometry and Calculus
Fall 2025: Graduate Student Instructor for Math 16A Analytic Geometry and Calculus
Fall 2024: Head Graduate Student Instructor for Math 55 Discrete Mathematics
Fall 2023: Graduate Student Instructor for Math 32 Precalculus
Fall 2022: Graduate Student Instructor for Math 54 Linear Algebra and Differential Equations
Fall 2021: Graduate Student Instructor for Math 1B Calculus
Spring 2021: Graduate Student Instructor for Math 1B Calculus