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- Kumar Sandeep
BIO
With a diverse international background in both academic and industrial institutions, Sandeep’s research interests broadly consist of numerical and computational methods for solving mathematical problems based on real-life phenomena, specifically in mathematical physics, mathematical biology, etc. For his PhD which he defended in 2020, he worked on the vortex filament equation exploring its intricate behaviour in the Euclidean and hyperbolic geometries through theoretical and numerical techniques, which led him to publish articles in leading journals. During this period, he did a research stay at University of California, Santa Barbara, USA. He was a postdoctoral fellow in an ERC project under Prof. Luis Vega at BCAM, Spain; subsequently, he worked as a Research Scientist at University College Dublin, Ireland, and then as an Applied Mathematician in the industry, up until his current appointment at CUNEF. Outside work, he likes to spend time hiking, running, learning languages, cultures, etc.
Research IDs:
ORCID: 0000-0002-2677-3154
Google Scholar: https://scholar.google.com/citations?user=BEU8VUUAAAAJ&hl=en&authuser=1
Education
PhD in Mathematics and Statistics, Universidad del País Vasco (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 with a specialization in Computer Science, Sri Sathya Sai Institute of Higher Learning, India (2013)
Research Interests
Numerical and computational methods, Schrödinger-type equations, Mathematical and computational modeling.
Career
Applied Mathematician, Indominus Advanced Solutions, Vigo, Spain, 2021-2022
Research Scientist, University College Dublin, Ireland, 2021
Postdoctoral fellow, BCAM – Basque Center for Applied Mathematics, Bilbao, Spain, 2020-2021
Publications in Scientific Journals
Kumar, Sandeep; Ponce-Vanegas, Felipe; Roncal, Luz; Vega, Luis: “The Frisch-Parisi formalism for fluctuations of the Schrödinger equation”, Springer Proceedings in Mathematics and Statistics, 2022.
Kumar, Sandeep; Ponce Vanegas, Felipe; Vega, Luis: “Static and Dynamical, Fractional, Uncertainty Principles, Transactions of the American Mathematical Society, 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, 2021.
De la Hoz, Francisco; Kumar, Sandeep; Vega, Luis “On the Evolution of the Vortex Filament Equation for regular M-polygons with nonzero torsion”, SIAM Journal on Applied Mathematics, 80(2), 1034–1056, 2020.
Otros profesores
