Publications

1. Cholesky decomposition for symmetric matrices over finite fields
   Finite Fields and Their Applications
   117, 102888 (2027) [arXiv]
   
   

2. Functional calculi, positivity, and convolution of matrices
   Journal of Mathematical Analysis and Applications
   565, 130934 (2027) [arXiv]
   (with Javad Mashreghi, Mostafa Nasri)
   
   

3. Oppenheim--Schur inequalities for causal products
   Bulletin of the London Mathematical Society
   58(6):e70412 (2026) [arXiv]
   (with Dominique Guillot, Javad Mashreghi)
   
   

4. Entrywise transforms preserving matrix positivity and nonpositivity
   Journal of the London Mathematical Society
   113(5):e70560 (2026) [arXiv]
   (with Dominique Guillot, Himanshu Gupta, Kyle Yip)
   
   

5. Positivity preservers over finite fields
   Journal of Algebra
   684, pp. 479-523 (2025) [arXiv]
   (with Dominique Guillot, Himanshu Gupta, Kyle Yip)
   
   

6. Inequalities for totally nonnegative matrices: Gantmacher--Krein, Karlin, and Laplace
   Linear Algebra and its Applications
   694, pp. 360-413 (2024) [arXiv]
   (with Shaun Fallat)
   
   

7. The strong spectral property of graphs: graph operations and barbell partition
   Graphs and Combinatorics
   40(2), pp. 1-25 (2024) [arXiv]
   (with Sarah Allred et al.)
   
   

8. Positivity preservers forbidden to operate on diagonal blocks
   Transactions of the American Mathematical Society
   376(08), pp. 5261-5279 (2023) [arXiv]