Ph.D., Mathematics
University California, Irvine
September 2022 - Present
–
M.S., Pure Mathematics
California Polytechnic State University, San Luis Obispo
September 2020 - June 2022
Thesis: Dynamical Systems and Matching Symmetry in β-Expansions
Graduation with distinction.
–
B.S., Pure Mathematics
California Polytechnic State University, San Luis Obispo
September 2017 - June 2022
Graduation with honors (Magna Cum Laude).
Rose Hills Foundation Science & Engineering Fellowship
UCI Mathematics Outstanding Teaching Assistant Award, 2023-24 Academic Year
Bryant Russell Memorial Award
Cal Poly SLO President's List: 2018-2019, 2019-2020 Academic Years
Cal Poly SLO College of Science and Math Dean's List: Fall 17, Winter 18, Fall 18-Spring 20
Edward N. Van Duyne Scholarship: 2019-2021 Academic Years
Algebraic Geometry
January 2022 - March 2022
A reading course on the basics of algebraic geometry and main results, supervised by Dr. Eric Brussel. Topics included varieties and the Hilbert's Nullstellensatz theorem; primary reference was An Invitation to Algebraic Geometry by Smith, Kahanpää, Kekäläinen, Traves.
–
Advanced Analysis and Measure Theory
January 2021 - June 2021
A focused, student-led study of the later chapters of Measure, Integration, and Real Analysis by Sheldon Axler, supervised by Dr. Linda Patton. Topics included Lp spaces, Hilbert spaces, introductory probability theory, and Fourier analysis.
–
Hyperbolic Geometry
January 2020 - March 2020
An exploration of Three Dimensional Geometry and Topology by William Thurston, advised by Dr. Matthew White. Focused on hyperbolic geometry and its applications in the classification of 3-manifolds.
–
Nonstandard Analysis
March 2018 - June 2018
An introduction to nonstandard analysis, in particular the construction of the hyperreals via ultrafilters. Advised by Dr. Todor Todorov.