Research

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

Published

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

Pre-Prints

  1. On the eigenvalues of the graphs D(5, q) (with Himanshu Gupta) (submitted) – pdf, ArXiv
  2. A simple proof for the lower bound of the girth of graphs D(n, q) (submitted) – pdf, ArXiv
  3. On the number of k-gons in finite projective planes (to be submitted) – pdf
  4. 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.

  1. Algebraic Graph Theory International Webinar – slides video
  2. 29th British Combinatorial Conference, Lancaster, UK – slides
  3. Math Seminar, Open University, UK – slides
  4. 10th Discrete Mathematics Summer School, Rogla, Slovenia –slides
  5. Discrete Seminar, Open University, UK (virtual talk) – slides
  6. Discrete Math Seminar, University of Delaware (virtual talk)
  7. Graduate Student Seminar, University of Delaware (virtual talk) – slides
  8. Graduate Student Combinatorics Conference (virtual: video) – slides video
  9. Candidacy Talk at University of Delaware (virtual talk) – slides
  10. Eastern Sectional AMS Conference (paper presentation) – slides
  11. Mathematics Research Symposium (paper presentation)
  12. Algebra, Number Theory and Combinatorics Seminar, CSUS (paper presentation)
  13. McNair’s Research Symposium, CSUS (paper presentation)
  14. Algebra, Number Theory and Combinatorics Seminar, CSUS (paper presentation)
  15. Provost Fall Research Symposium, CSUS (poster presentation)
  16. Student Research Symposium, CSUS (poster presentation)
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