I am a sixth year PhD candidate at the University of California, Berkeley, planning to graduate and apply for jobs this year.
Read my Research Statement and CV.
I am advised by Martin Olsson. My interests are curves, moduli spaces, and stacks.
I completed my Bachelor's degree in mathematics at Arizona State University.
Office: Evans 1061
Email: roselopez [at] berkeley [dot] edu
Papers:
The Brauer Group of BG and Gerbe Structures of Moduli Spaces, https://arxiv.org/abs/2601.05370 (2026).
Chow Rings of Hurwitz Spaces with Marked Ramification, with Emily Clader, Zhengning Hu, Hannah Larson, and Amy Li, https://arxiv.org/pdf/2505.04903 (2025).
The Brauer Group of Y_0(2), with Niven Achenjang, Deewang Bhamidipati, Aashraya Jha, and Caleb Ji, submitted to epiGA, in revision, https://arxiv.org/pdf/2311.18132 (2024).
Picard Groups of Stacky Curves, https://arxiv.org/pdf/2306.08227 (2023).
Invited Talks:
UC Santa Cruz Algebra and Number Theory Seminar, November 15, 2024
Emory Algebra and Number Theory Seminar, November 19, 2024
Teaching:
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