Research

Preprints:

  1. Entrywise transforms preserving matrix positivity and non-positivity (arXiv), (2025) with Dominique Guillot, Prateek Kumar Vishwakarma, and Chi Hoi Yip.
  2. The Weak Version of the Graph Complement Conjecture and Partial Results for the Delta Conjecture (arXiv), (2025) with Francesco Barioli, Shaun Fallat, and Zhongshan Li.
  3. Minimum number of distinct eigenvalues of distance-regular and signed Johnson graphs (arXiv), (2024) with Shaun Fallat, Allen Herman, and Johnna Parenteau.

To appear:

  1. Inverse eigenvalue problem for Laplacian matrices of a graph (arXiv), (2024) with Shaun Fallat and Jephian C.-H. Lin. (SIAM Journal on Matrix Analysis and Applications)
  2. Positivity preservers over finite fields (arXiv), (2024) with Dominique Guillot, Prateek Kumar Vishwakarma, and Chi Hoi Yip. (Journal of Algebra. And extended abstract to appear in Séminaire Lotharingien de Combinatoire, Proceedings of FPSAC 2025).

Published:

  1. Sufficient conditions for total positivity, compounds, and Dodgson condensation, Linear Algebra and its Applications, Vol. 709, 189-202 (2025), with Shaun Fallat, and Charles R. Johnson. (arXiv)
  2. On the eigenvalues of the graphs D(5,q), Finite Fields and Their Applications, Vol. 94, 102358 (2024), with Vladislav Taranchuk. (arXiv)
  3. The least Euclidean distortion constant of a distance-regular graph, Discrete Applied Mathematics, Vol. 325, 212-225 (2023), with Sebastian Cioaba, Ferdinand Ihringer, and Hirotake Kurihara. (arXiv)
  4. Constructions of cospectral graphs with different zero forcing numbers, The Electronics Journal of Linear Algebra, Vol. 38, 280-294 (2022), with Aida Abiad, Boris Brimkov, Jane Breen, Thomas R. Cameron, and Ralihe R. Villagran. (arXiv)
  5. On the Eigenvalues of Grassmann Graphs, Bilinear Forms Graphs and Hermitian Forms Graphs, Graphs and Combinatorics, 38, Article number: 30 (2022), with Sebastian Cioaba. (arXiv)

Theses:

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