Welcome to my website! I am a second-year PhD student at Georgia Institute of Technology. I recently graduated from Michigan State University with a BS in mathematics and a BS in physics. My research interests are mainly in the intersection of topology and geometry with analysis, especially in differential topology and geometry. I have most recently worked in convex geometry and high-dimensional probability, and have completed various projects in differential equations. You can find my CV here.

In summer of 2018, I worked with Dr. Marianne Korten at Kansas State University on solutions to the Total Variational Flow and the Sign Fast Diffusion Equation. The resulting paper can be found here. It is currently in preprint.

I'm currently exploring options for projects in differential topology and geometry. More information will be coming soon.

I am currently teaching Calc III, or Multivariable Calculus (MATH 2551). I have taught this course several times, both at Georgia Tech, including Spring 2022, Spring 2021, and Summer 2021, and several times more at Michigan State (MTH 254H). I have also been employed regularly as a tutor specializing in Calc III and Differential Equations since Fall 2016. As I enjoy Calc III immensely, I have decided to build a collection of materials related to the class, including both materials I've used and materials I've created. This can be found here.

The full list of courses I have taught and/or graded for is as follows:

- Multivariable Calculus (MATH 2551). Taught in Spring 2022, Summer 2021, and Spring 2021.
- Differential Equations (MATH 2552). Taught in Fall 2021.
- Real Analysis I (MATH 6337). Graded in Fall 2021.
- Differential Calculus (MATH 1551). Taught in Fall 2020.

- Capstone in Fourier analysis (MTH 496). Graded only, in Spring 2020.
- Honors Multivariable Calculus (MTH 254H). Taught in Fall 2019 and Spring 2019.
- Honors Calculus II (MTH 153H). Taught in Fall 2018.
- Calculus II (MTH 133). Taught in Spring 2018.

Over the years I have written several notes and final papers for various subjects. Some of these can be found on the Calc III page above, as they relate more directly to that. However, I have written on other subjects as well. Writings related to other subjects in math can be found here.