I am currently thinking about the No-Three-In-Line problem and its connection to the Manin Conjecture with Nathan Kaplan.
As an undergraduate, I participated in the MSRI-UP: Branched Cover of Covers, where I worked under Edray Goins and Alex Barrios on computing the monodromy group of the classical modular curves. My group’s final presentations can be found here, and our paper can be found here.
As an undergraduate, I also spent some time thinking about abelian sandpile groups with Natalie Hobson and was a member of the Mathematical Epidemiology Research Group (MERG) led by Omayra Ortega.
Presentations:
(w/ V. Sun) “Calculating the Monodromy Groups of Modular Curves.” The Joint Math Meetings, January 2021.
(w/ S. Heard, V. Sun) “Computing the Monodromy of the Classical Modular Curves.” The National Diversity in STEM Conference, October 2020.
“Using Mathematical Modeling to Predict the Effect of Vaccination on Measles Outbreaks.” The National Diversity in STEM Conference, October 2020.
(w/ S. Heard, V. Sun) “Monodromy groups of Classical Modular Curves.” NAM Undergraduate MATHFest XXX, October 2020.
(w/ S. Heard, V. Sun) “Automorphism Groups and Monodromy of Classical Modular Curves.” Mathematical Science Research Institute Undergraduate Program Final Presentation, July 2020.
“A Mathematical Model of Measles and it’s Vaccination.” Sonoma State University Science Symposium, May 2020.
Seminars and Workshops Attended (or Planning to Attend):