My research interests lie in extremal combinatorics, algebraic graph theory, and finite geometry. The following is a list of publications and pre-prints.

## Published

- Pancyclicity when each cycle contains
*k*-chord,*Discussiones Mathematicae: Graph Theory*, 39 (2019), 867–879. – pdf - A new lower bound for van der Waerden numbers, (with Thomas Blankenship and Jay Cummings)
*European Journal of Combinatorics*, 69 (2018), 163–168. – pdf - The Anti-Ramsey Problem for the Sidon Equation, (with Craig Timmons),
*Discrete Mathematics, 10 (2019), 2856–2866. – pdf* - A New Family of Algebraically Defined Graphs With Small Automorphism Group, (with Felix Lazebnik),
*Electronic Journal of Combinatorics*, 29 (1) (2022) – pdf

## Pre-Prints

- On the eigenvalues of the graphs D(5,
*q*) (with Himanshu Gupta) (submitted) – pdf, ArXiv - A simple proof for the lower bound of the girth of graphs D(n, q) (submitted) – pdf, ArXiv
- On the number of
*k*-gons in finite projective planes (to be submitted) – pdf - Existence of Pappus Configurations in Projective Planes containing Perspectivities (to be submitted) – pdf

## Talks

I have also given talks, on my own research, and problems that interest me. The following is a list with links to the slides if you are interested.

- Algebraic Graph Theory International Webinar – slides video
- 29th British Combinatorial Conference, Lancaster, UK – slides
- Math Seminar, Open University, UK – slides
- 10th Discrete Mathematics Summer School, Rogla, Slovenia –slides
- Discrete Seminar, Open University, UK (virtual talk) – slides
- Discrete Math Seminar, University of Delaware (virtual talk)
- Graduate Student Seminar, University of Delaware (virtual talk) – slides
- Graduate Student Combinatorics Conference (virtual: video) – slides video
- Candidacy Talk at University of Delaware (virtual talk) – slides
- Eastern Sectional AMS Conference (paper presentation) – slides
- Mathematics Research Symposium (paper presentation)
- Algebra, Number Theory and Combinatorics Seminar, CSUS (paper presentation)
- McNair’s Research Symposium, CSUS (paper presentation)
- Algebra, Number Theory and Combinatorics Seminar, CSUS (paper presentation)
- Provost Fall Research Symposium, CSUS (poster presentation)
- Student Research Symposium, CSUS (poster presentation)