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


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

Enter The Machine Learning Zone

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


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)


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.


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


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

Collected works of mine from #Noethember celebrating the life and career of Emmy Noether.