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.

Published:

  1. Positivity preservers over finite fields, Journal of Algebra, Vol. 684, 479-523 (2025), with Dominique Guillot, Prateek Kumar Vishwakarma, and Chi Hoi Yip. (arXiv)
  2. Inverse eigenvalue problem for Laplacian matrices of a graph, SIAM Journal on Matrix Analysis and Applications, Vol. 46, Issue 3, 1866-1886 (2025), with Shaun Fallat and Jephian C.-H. Lin. (arXiv)
  3. 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)
  4. On the eigenvalues of the graphs D(5,q), Finite Fields and Their Applications, Vol. 94, 102358 (2024), with Vladislav Taranchuk. (arXiv)
  5. 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)
  6. 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)
  7. 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)

Conference Proceedings:

  1. Entrywise transforms and positive definite matrices over finite fields, Séminaire Lotharingien de Combinatoire 93(B), Article #69, 12pp. (2025), Proceedings of the 37th conference on Formal Power Series and Algebraic Combinatorics (Sapporo), with Dominique Guillot, Prateek Kumar Vishwakarma, and Chi Hoi Yip.

Theses:

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