I am a graduate student in the Department of Mathematics at the University of South Carolina, working under the supervision of Dr. Matthew Ballard.

### Teaching

Click for More Details about past and present classes

This semester (Spring 2020) I am teaching MATH 151 and 152. These courses constitute a pilot course being offered at UofSC to help at-risk Calculus 1 and 2 students. Click for the joint syllabus

### Research Interests

My research interests include algebra and algebraic geometry. In particular, I am interested in algebraic groups, Lie algebras, hom-Lie algebras, geometric invariant theory, reductive groups, toric varieties, derived geometry, and graded algebras.

### Machine Learning

Most recently I have began researching Machine Learning, specifically neural networks. I have began notes for those that are interested!

### Papers/Preprints

Click for More Details on my research

Kernels for Grassmannian Flops (pre-print)

Universal Embedding of Hom-Lie Triple Systems (pre-print)

Bounded Operators on a Hilbert Space with finite $\mathbb{Z}$-grading (Master Thesis)

### Organizational

I organized the Homological Algebra Seminar.

For the 18th Annual High School Math Contest I was an event corridantor, for the Math Scavenger Hunt

For the 19th Annual High School Math Contest I am the event corridantor for "Math Block-Busters" a math themed game based off the British television show.

For the 20th Annual High School Math Contest I am the event corridantor for "Math Golf" a math themed game based off the rules of golf.

### Personal

My personal interests include mathematics education, philosophy, Turntablilism, and writing Children's Math Books.

### Contact

Email: robertv(at)math(dot)sc(dot)edu

Office: LeConte College 317-N

Office Hours: 2:00-3:00 M/W and 3:00-4:00pm T/TR