Research

My research interests are broadly related to combinatorics and graph theory. In particular, I enjoy working on problems in spectral and extremal graph theory. 

1. Problems in spectral and extremal graph theory Ph.D. Thesis (2025).

2. Minimum spectral radius of graphs of fixed order and dissociation number and its connection to Turán and Spectral Turán problems, with Dheer Noal Desai (preprint).

3. A Ricci flow on graphs from effective resistance, with Aleyah Dawkins, Mark Kempton, William Linz, Jeremy Quail, Harry Richman, and Zachary Stier (submitted).

4. Node resistance curvature in Cartesian graph products, Journal of Combinatorics (2025), with Aleyah Dawkins, Mark Kempton, William Linz, Jeremy Quail, Harry Richman, and Zachary Stier.

5. On the minimum spectral radius of connected graphs of given order and size, Special Matrices (2024), with Sebastian Cioaba and Celso Marques.

6. A lower bound for the smallest eigenvalue of a graph and an application to the associahedron graph, Bulletin of the Romanian Mathematical Society (2022), with Sebastian Cioaba.

1.  Non-existence of Moore Polygons and bounds on the second largest eigenvalue of a regular graph with given valency, with Sebastian Cioaba, Hiroshi Nozaki, and Ziqing Xiang.

2. The Spectral gap of Signed Reversal and Burnt Pancake graphs, with Himanshu Gupta.