Dr. Kaushik Mohanta

Designation : Assistant Professor

Broad Area of Expertise : Mathematics

Email : kaushik{at}iitgoa.ac.in

Contact Number : +91-832-2490-932

Address : FC-7, Academic Block 2

Personal Page

Educational Qualifications

  • PhD in Mathematics: Indian Institute of Technology Kanpur. 2022.
  • M.Sc. in Pure Mathematics: University of Calcutta, Kolkata. 2015.
  • B.Sc. in Mathematics: Presidency College, Kolkata. 2013.

Areas of Research

Nonlinear functional analysis, theory of Function spaces, functional inequalities and embeddings, Sobolev extension domains, quasiconformal mappings, mappings of finite distortion, analysis of PDE.

Courses Taught

  • UG Core Courses:
  1. Numerical Analysis (Spring 2026)

Professional Appointments

  • Postdoctoral Researcher in the School of Mathematics and Physics, Charles University, Czechia. December 2024-November 2025
  • Postdoctoral Researcher in the Department of Mathematics and Statistics, University of Jyväskylä, Finland. November 2022-October 2024.
  • Postdoctoral Researcher in the Discipline of Mathematics, IIT Gandhinagar, India. May 2022-October 2022.

Recent Publications

  1. Agarwal, A., Koskela, P. and Mohanta, K., 2025. Limits at infinity for functions in fractional Sobolev spaces. arXiv preprint arXiv:2501.03790.
  2. Hencl, S. and Mohanta, K., 2026. Note on injectivity in second-gradient nonlinear elasticity. Nonlinear Analysis, 268(114084).
  3. Bal, K., Mishra, R. and Mohanta, K., 2025. On the singular problem involving fractional g-Laplacian. Complex Variables and Elliptic Equations, 70(10), pp.1808-1830.
  4. Ihnatsyeva, L., Mohanta, K. and Vähäkangas, A.V., 2025. Fractional Hardy inequalities and capacity density. Calculus of Variations and Partial Differential Equations, 64(4), pp.1-34.
  5. Lehrbäck, J., Mohanta, K. and Vähäkangas, A.V., 2025. Classifying Triebel–Lizorkin capacities in metric spaces. Journal of Fourier Analysis and Applications, 31(2), p.15.
  6. Mohanta, K., Mudarra, C. and Oikari, T., 2025. Traces of vanishing Hölder spaces. The Journal of Geometric Analysis, 35(1), p.34.
  7. Bal, K., Mohanta, K. and Roy, P., 2024. Magnetic fractional Poincaré inequality in punctured domains. Journal of Mathematical Analysis and Applications, 535(1), p.128103.
  8. Mohanta, K., 2024. Bourgain-Brezis-Mironescu formula for W qs, p-spaces in arbitrary domains. Calculus of Variations and Partial Differential Equations, 63(2), p.31.
  9. Mohanta, K. and Tyagi, J., 2024. Improved Hardy inequalities on Riemannian manifolds. Complex Variables and Elliptic Equations, 69(10), pp.1770-1781.
  10. Mohanta, K. and Sk, F., 2021. On the best constant in fractional $ p $-Poincaré inequalities on cylindrical domains. Differential and Integral Equations, 34(11/12), pp.691-712.
  11. Bal, K., Mohanta, K., Roy, P. and Sk, F., 2022. Hardy and Poincaré inequalities in fractional Orlicz-Sobolev spaces. Nonlinear Analysis, 216, p.112697.
  12. Bal, K., Mohanta, K. and Roy, P., 2020. Bourgain-Brezis-Mironescu domains. Nonlinear Analysis, 199, p.111928.

Recognition and Awards

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