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

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.


Kernels for Grassmannian Flops
(In Progress)

Universal Embedding of Hom-Lie Triple Systems

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

Click for More Details on my research


Two years ago I organized the Homological Algebra Seminar.

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

This year 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.


This semester (Summer 2019), I am not teaching and instead funded by a research grant S.P.A.R.C. funded by the Vice President's (of the University of South Carolina) office

Click for More Details about past and present classes


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 317R

Office Hours: M 1:00-2:30, W 3:00-4:30

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