I am a PhD candidate in the Department of Mathematics at UC Davis, working with Motohico Mulase and Tudor Dimofte. My research interests include quantum topological invariants, moduli of Higgs bundles, and quantization.
My bachelors degree is in both math and physics and from Georgetown University, in Washington, DC. Marcos Rigol was my senior thesis adviser. Between degrees I worked for a couple years as a systems and infrastructure engineer at a tech company. (The company has since been acquired by Oracle.)
Besides my graduate work, I am a wilderness guide for the Outdoor Adventure program at Davis.
Events
- Clusters Reading Group
- Graduate reading group on cluster algebras. Met (remotely) weekly Spring 2021.
Service
- President of the Galois Group: Ran the student association for UC Davis math and applied math graduate students. (Summer 2018 to spring 2020.)
- Exam Accommodations TA: Organized exams for students allotted extra time on in-class assessments. (Fall 2018, winter 2019.)
- Calculus Room Coordinator: Ran the UCD math department's calculus help center. Set protocol for remote operations, coordinated shifts for about sixty TAs. (2020-2021 academic year.)
Notes & Projects
- Visible Graphs
- Exploring the connection between planar graphs and projections of embedded convex polyhedra. This was my final project for an Experimental Mathematics course offered spring 2017 at UC Davis.
- The ADO Invariants are a q-Holonomic Family
- Joint with Tudor Dimofte, Stavros Garoufalidis, and Nathan Geer.
Previous Teaching
Instructor of Record:
- Summer 2018: Differential Equations (MAT-022B)
Teaching Assistant:
- Winter 2020: Physical Mathematics (MAT-180)
- Fall 2019: Calculus (MAT-021B)
- Fall 2018: Computers and Mathematics (MAT-165)
- Spring 2018: Differential Equations (MAT-022B)
- Winter 2018: Vector Analysis (MAT-021D)
- Fall 2017: Calculus (MAT-021A)
- Spring 2017: Vector Analysis (MAT-021D)
- Winter 2017: Vector Analysis (MAT-021D)
- Fall 2016: Vector Analysis (MAT-021D)