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Biography
Sandeep Kumar is an Assistant Professor on Tenure Track in the Department of Mathematics at CUNEF Universidad. His research broadly involves numerical and computational methods for differential equations related to mathematical physics, mathematical biology, mathematical finance, etc.
He defended his PhD in Mathematics and Statistics at BCAM - Basque Center for Applied Mathematics and the University of the Basque Country (UPV/EHU), Spain, in June 2020. Subsequently, during 2020-2022, he worked as an ERC postdoctoral fellow at BCAM, as a Research Scientist at the University College Dublin, Ireland, and as a Researcher in an R&D start-up before moving to CUNEF Universidad. Currently, he is also a reviewer for Physics of fluids, PLOS ONE, Mathematical reviews, zbMathOpen.
Education
PhD in Mathematics and Statistics, BCAM - Basque Center for Applied Mathematics and University of the Basque Country (UPV\EHU), Spain, 2020
MSc in Mathematical Modelling in Engineering, joint degree from the University of L'Aquila, Italy, the University of Hamburg, Germany, and the Universidad Autónoma de Barcelona, Spain (2015) and MSc in Mathematics, Sri Sathya Sai Institute of Higher Learning, India (2013)
Research Interests
Numerical methods, Mathematical and computational modeling, Schrödinger-type equations.
Professional Career
Applied Mathematician, Indominus Advanced Solutions, Vigo, Spain, November 2021 - August 2022
Most relevant publications
Kumar, Sandeep: "Pseudorandomness of the Schrödinger map equation", Acta Applicandae Mathematicae, 193, 10, 2024.
Crowley, Caroline; Khan, Mohammad Faraz; Bustamante, Miguel D.; Cahill Ronan;Nolan, Kevin: "Understanding Surgical smoke in Laparoscopy through Lagrangian Coherent Structures", PLoS ONE, 18, 11, e0293287, 2023.
Kumar, Sandeep; Ponce Vanegas, Felipe; Vega, Luis: "Static and Dynamical, Fractional, Uncertainty Principles, Transactions of the American Mathematical Society, 375, 8, 5691-5725, 2022.
De la Hoz, Francisco; Kumar, Sandeep; Vega, Luis: "Vortex Filament Equation for a regular polygon in the hyperbolic plane", Journal of Nonlinear Science, 32 (1), 9, 2022.
Kumar, Sandeep: "On the Schrödinger map for regular helical polygons in the hyperbolic space", Nonlinearity, 35 (1), 84-109, 2022.