Prateek Kumar Vishwakarma - प्रतीक कुमार विश्वकर्मा

Publications

Positivity preservers over finite fields
Journal of Algebra 684, pp. 479-523 (2025) [arXiv]
(with Dominique Guillot, Himanshu Gupta, Kyle Yip)
Inequalities for totally nonnegative matrices: Gantmacher--Krein, Karlin, and Laplace
Linear Algebra and its Applications 694, pp. 360-413 (2024) [arXiv]
(with Shaun Fallat)
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.)
Positivity preservers forbidden to operate on diagonal blocks
Transactions of the American Mathematical Society 376(08), pp. 5261-5279 (2023) [arXiv]

Cholesky decomposition for symmetric matrices over finite fields
2025 [arXiv]
Cholesky decomposition for symmetric matrices, Riemannian geometry, and random matrices
2025 [arXiv]
(with Apoorva Khare)
Entrywise transforms preserving matrix positivity and non-positivity
2025 [arXiv]
(with Dominique Guillot, Himanshu Gupta, Kyle Yip)
Chevalley operations on TNN Grassmannians
2025 [arXiv]
Plücker inequalities for weakly separated coordinates in totally nonnegative Grassmannian
2023 [arXiv]
(with Daniel Soskin)

Entrywise transforms and positive definite matrices over finite fields
Séminaire Lotharingien de Combinatoire 93B (2025) Article #69, 12 pp.
(with Dominique Guillot, Himanshu Gupta, Kyle Yip)
Plücker inequalities for weakly separated coordinates in TNN Grassmannians
Séminaire Lotharingien de Combinatoire 93B (2025) Article #86, 12 pp.
(with Daniel Soskin)

(with Dominique Guillot and Javad Mashreghi)
Provisional title: TBD
(with Shaun Fallat and Daniel Soskin)
Provisional title: Inequalities for TNN matrices
(with Dominique Guillot, Himanshu Gupta, and Kyle Yip)
Provisional title: On algebraic versions of Schoenberg Theorem - Part II
Provisional title: On multifunctional versions of Schoenberg's theorem