Research Areas

Mathematical Analysis, Discrete Mathematics

Education

2019 - 2023 Ph.D. in Mathematics, Imperial College London, UK

2018 - 2019 Masters of Science, Indian Institute of Technology Kanpur (IITK), India

2014 - 2018 Bachelors of Science, Indian Institute of Technology Kanpur, India

Awards

2019 Bhagwan Das Memorial Gold Medal, IITK

2019-2023 Presidents PhD Scholarship, Imperial College London

Publications

1. Hardy inequalities for antisymmetric functions, arXiv:2306.00531

2. Rearrangement inequalities on the lattice graph (with Stefan Steinerberger), arXiv:2212.07590

3. Hardy and Rellich inequality on lattices, Calc. Var. Partial Differential Equations, 62, Paper No. 81 (2023)

4. One-dimensional discrete Hardy and Rellich inequalities on integers, J Fourier Anal Appl, 30, 15 (2024)

5. Discrete Weighted Hardy inequality in 1-D, Journal of Mathematical Analysis And Applications. 514, pp. 126345 (2022)

6. Symmetrization inequalities on one-dimensional integer lattice, arXiv:2204.11647