Email: nkumar@sissa.it
Research Interests: Numerical analysis of Bifurcating Phenomenon, Non-linear PDEs, Optimal Control of fractional PDEs/non-local PDEs, Wavelet Collocation Methods, Physics-Informed Neural Networks (PINNs).
(1) Postdoc Fellow (Sept 2024 -- Present), Scuola Internazionale Superiore di Studi Avanzati (SISSA), Trieste, Italy Supervisor: Prof. Gianluigi Rozza.
(2) Research Associate (July 2023 -- July 2024), Department of Mathematics, Indian Institute of Technology Delhi, India. Supervisor: Prof. Mani Mehra.
(3) PhD in Mathematics (Dec 2017 – July 2023), Thesis Supervisor: Prof. Mani Mehra, Department of Mathematics, Indian Institute of Technology Delhi, India. Thesis Title: Wavelet Collocation Methods for Fractional Optimal Control Problems.
(4) Master of Science (M.Sc.) in Mathematics (2015–2017), Department of Mathematics, Indian Institute of Technology Roorkee, India.
(5) Bachelor of Science Honours (B.Sc.(H)) in Mathematics (2012–2015), Department of Mathematics, Banaras Hindu University Varanasi, India.
(6) Intermediate (10+2) (2010 -- 2012), VKS Saraswati Vidya Niketan Inter College, Gola Gokarnnath Kheri, Uttar Pradesh, India.