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Rishikesh Yadav's webpage
Rishikesh Yadav
Rishikesh Yadav
Postdoctoral Researcher,
Department of Mathematics and Mathematical Statistics,
MIT House, Floor 3, MIT.E.327,
Umeå University, 901 87, Sweden.
https://www.umu.se/en/staff/rishikesh-yadav/
Contacts: rishikesh2506@gmail.com;
LinkedIn: https://www.linkedin.com/in/dr-rishikesh-yadav-a14a3016b/
Do smart Work, Get Better Result
Do smart Work, Get Better Result
Research Area: Approximation Theory, Functional Analysis, Dynamical System, Optimization Theory (Compressed sensing, l1-norm minimization problems)
Research Area: Approximation Theory, Functional Analysis, Dynamical System, Optimization Theory (Compressed sensing, l1-norm minimization problems)
I am working as a Postdoctoral Researcher under the mentorship of Prof. Axel Flinth, at the Department of Mathematics and Mathematical Statistics, Umeå University. Prior to joining Umeå University, I was a postdoctoral researcher at the Namur Institute for Complex Systems (naXys) and Department of Mathematics, University of Namur, Belgium, with Prof. Alexandre Mauroy from 2022 to 2024. I received my Ph.D. degree in Approximation Theory from the Department of Mathematics, Sardar Vallabhbhai National Institute of Technology Surat, Gujarat, India in 2021 under the guidance of Late Prof. Vishnu Narayan Mishra and Prof. Ramakanta Meher.
My research primarily lies in the intersection of Approximation Theory, Dynamical Systems, and Koopman Operator Theory, while my current work is more oriented toward Optimization Theory.
An Overview of Current Research: My current research focuses on developing a new theory for fully corrective Frank-Wolfe algorithms for convex optimization on measure spaces. My primary motives are to develop and analyze new, tailor-made algorithms for individual, discretized problems along with homotopy approach and further generalize the framework to a stochastic setting.
Recent updates:
Recent updates:
I will be attending "Scientific Machine Learning and Numerical Methods – Autumn school on 27-31 October 2025", at Centrum Wiskunde & Informatica (CWI), Netherlands.
I will be attending "ACOTCA 2025 : XIX Advanced Course in Operator Theory and Complex Analysis", at Université Clermont Auvergne in Clermont-Ferrand (France) from 16-20 June 2025.
Paper entitled "Approximation of the Koopman operator via Bernstein polynomials", has been published in Communications in Nonlinear Science and Numerical Simulation, DOI: https://doi.org/10.1016/j.cnsns.2025.108819, link, 2025, arxiv preprint: pdf
Research article "Quantitative means of an asymptotic formula for a family of modified linear positive operators" published (online), AIP Conf. Proc. 3005, 020031-1–020031-7; https://doi.org/10.1063/5.0213438. December 11, 2024.
Fellowship August 2024-July 2026: The Kempe Foundation for the research project entitled "Iterative Algorithms for regularized optimization on measure spaces".
🎉Joined as a Postdoc Researcher at the Department of Mathematics and Mathematical Statistics, Umeå University, Sweden (July, 2024).
The article "Approximation on Durrmeyer modification of generalized Szasz-Mirakjan operators" is available online in ``Mathematical Methods in the Applied Sciences''. 2024, I.F.=3.007, Q1.
Invited speaker of a mini-symposium entitled "Koopman Operator in Dynamical Systems: Numerics" at the SIAM Conference on Applications of Dynamics Systems (DS23), May 14-18, 2023, Portland, USA.
Presented a paper entitled "Approximation of function of two variables by bivariate operators in polynomial weight spaces" at the International Conference on Nonlinear Analysis and Applications-2022. (ICNAA-2022). 22-23 November 2022, organized by Assam Don Bosco University, The Institute of Physics and Mathematics, Technological University of the Mixteca, Oaxaca, Mexico, Ramniranjan Jhunjhunwala College (Autonomous), Ghatkopar, Mumbai, India.
Research paper (with V. N. Mishra) entitled "Approximation on a new class of Szász–Mirakjan operators and their extensions in Kantorovich and Durrmeyer variants with applicable properties" is now online, published by Georgian Mathematical Journal, Vol. 29, Issue 2. 2022, doi/10.1515/gmj-2021-2135/html, (SCI).
Attended the naXys Research Day-2021 on May 13, 2022, and delivered a Flash talk entitled "A Basic Overview of Approximation Theory", Namur Institute for Complex Systems, University of Namur, Belgium.
On March 14, 2022, I joined the Namur Institute for Complex Systems, University of Namur, Belgium as a Postdoc researcher under the mentorship of Prof. Alexandre Mauroy.
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