I currently work with algebra objects in monoidal categories, including division algebras, Frobenius algebras, and Hopf algebras. This work is done under the supervision of my PhD advisor, Professor Chelsea Walton at Rice University.
Previously, I explored Anderson Localization, Algebraic Geometry, and Mathematical Morphology through undergraduate research programs. My advisors for these projects were Professors David Damanik and Selim Sukhtaiev at Rice University, Professor Farkhod Eshmatov at the Uzbekistan Academy of Sciences, and Professor Alec Jacobson at University of Toronto.
Division Algebras in Monoidal Categories (with C. Walton) - Submitted.
On Extended Frobenius Structures (with A. Czenky, A. Quinonez, and C. Walton) - Submitted.
Infinite Transitivity on the Calogero-Moser Space C2 (with S. Mathers and Z. Normatov)
Opening and Closing Surfaces (with S. Sellán, A. Y. Sheng, and A. Jacobson)
An Overview of the Research on College Precalculus and Calculus Success (Mathematics Education Discussion Seminar, Rice University 2025)
An Overview of the Research on College Precalculus and Calculus Success (Current Mathematics Seminar, Rice University 2024)
The Infinitely Small and their Big Impact on Mathematics (Bellaire High School, Houston TX 2022)
Transitivity on the Calogero-Moser Variety of Dimension 4 (Americam Mathematics Association Special Session, Joint Mathematics Meeting 2020)
Transitivity on the Calogero-Moser Variety of Dimension 4 (Gulf Coast Undergraduate Research Symposium, Rice University 2019)
Random Hamiltonians with Arbitrary Point Interactions: Positivity of the Lyapunov Exponent (Random Matrix Products and Anderson Localization Conference, Banff International Research Station 2019)
Morphological Operations as Geometric Flows on Curves and Surfaces (Undergraduate Colloquium, Rice University 2018)
Morphological Operations as Geometric Flows on Curves and Surfaces (FIELDS Undergraduate Summer Research Program Mini-Conference, Fields Institute 2018)