Mathematics Ph.D.
A Little More About Me
I recently graduated from UNCCH with a Ph.D. in mathematics. I worked in a field called "analysis of partial differential equations." In other words, I studied certain theoretical aspects of equations which model many laws of physics. A little more specifically, I researched local energy properties of damped wave equations on asymptotically flat spacetime backgrounds (for a few more specifics, and even more heuristics, click here). I am hoping to continue these studies in my spare time.
I passed Ph.D. comprehensive exams in real/complex analysis, geometry/topology, and scientific computation. As the latter topic indicates, I have interest in numerical methods, as well, and I have research experience in this area from my time spent as an undergraduate at Arizona State (again, click here).
Research Interests
Education

Analysis of PDEs and microlocal/semiclassical analysis with applications in

Quantum mechanics

General relativity

Fluids


Numerical analysis in the above topics, especially fluids
2017  2022
University of North Carolina at Chapel Hill
Ph.D., Mathematics
2013  2017
Barrett, the Honors College at Arizona State University
B.S., Mathematics
Summa Cum Laude
Selected MathRelated Service
Programming Experience

Graduate Math Association (GMA) Visions Seminar Organizer: Fall 2020Spring 2022

This weekly seminar is designed to familiarize graduate students with the research being done within the department, as well as to provide speakers (primarily other graduate students) with practice giving technical talks.


UNC Graduate Analysis Seminar Organizer:
Fall 2020Spring 2022

This graduatestudentfocused weekly seminar is designed to connect UNC graduate students researching analysis and encourage learning, discussion, and collaboration.


Directed Reading Program Committee Member: Spring 2020Spring 2022

This program pairs undergraduate math students with graduate math student mentors for a semesterlong directed reading project, culminating in a final presentation on what was learned to other members of the program. The projects typically extend beyond material covered in the standard undergraduate math curriculum, providing the students with an accessible glimpse at higherlevel mathematics.

During my undergraduate and graduate studies, I have completed projects using

MATLAB

Python

C++

COMSOL

FORTRAN

Java