Professor Prosenjit Roy is a Professor in the Department of Mathematics and Statistics at the Indian Institute of Technology (IIT) Kanpur. He received his B.Sc. (Hons.) in Mathematics from Presidency College, Kolkata, his Master’s degree from the Tata Institute of Fundamental Research (TIFR), Bangalore, and his PhD in Mathematics from the University of Zürich, Switzerland. He subsequently held research positions at Technion–Israel Institute of Technology and TIFR Centre for Applicable Mathematics before joining IIT Kanpur.

His research interests lie in nonlinear partial differential equations, geometric analysis, fractional Sobolev spaces, Hardy inequalities, Moser–Trudinger type inequalities, and nonlocal analysis. He has published extensively in leading international journals, making significant contributions to the theory of elliptic and fractional partial differential equations, variational methods, and functional inequalities. He has successfully supervised several doctoral students who now hold faculty and postdoctoral positions at leading institutions.

Professor Roy has received several prestigious awards and competitive research grants, including the INSPIRE Faculty Award, the Pradeep Jotwani Young Faculty Fellowship, and grants from SERB and ANRF. He actively organizes international conferences and workshops in analysis and partial differential equations and collaborates with researchers across Europe, Asia, and North America, contributing to the advancement of mathematical research and the development of young scholars.  He also loves teaching/ training young minds at the same time.

Publications

1.  M. Chipot, P. Roy and I. Shafrir: Asymptotics of the eigenstates of elliptic problems with mixed boundary data set on domain tending to infinity, Asymptotic Analysis, 85 (2013), no, 3-4, 199-227.
2. M. Chipot and P. Roy: Existence results for some functional elliptic equations, Differential and Integral Equations, 27 (2014), n.o 3-4, 289-300.
3.  P. Roy: Existence results for some nonlocal problems. Differential Equations and Applica- tions. 6 (2014), no 3, 361-381.
4. G. Csato and P. Roy : Extremal function for the singular Moser-Trudinger Inequality in 2 dimensions. Calculus of Variations and Partial Differential Equations, 54 (2015), 2342-2366.
5. M. Chipot, A. Mojsic and P. Roy: Variational problems set on cylinders tending to infinity . Discrete Continuous and dynamical systems – Series A, 3603-3621 (7), 3(2016).
6. P. Roy : Extremal function for Moser-Trudinger Inequality with Logarithmic weight. Nonlinear Anlysis-Theory methods and applications, 135, 194-204 (2016).
7. G. Csato and P. Roy : The singular Moser-Trudinger inequality on simply connected domain. Communications in Partial Differential Equations, 41 (2016), no. 5, 838–847.
8. I. Chowdhury and P. Roy : On the asymptotic analysis of problems involving fractional Laplacian in cylindrical domains tending to infinity. Communications in Contemporary Mathematics. 19, (2017) no-5, 21pp.
9. P. Roy: On attainability of Logarithmic Moser-Trudinger Inequality in Higher Dimensions. Discrete Continuous and dynamical systems – Series A. 39 (2019), no. 9, 5207–5222.
10.  K. Bal, K. Mohanta and P. Roy: Brezis-Borgain-Mironescu domains, Nonlinear Analysis, 199 (2020).
11. L. Esposito, P. Roy and SK. Firoz, On the asymptotic behavior of the eigenvalues of nonlinear elliptic problems in domains becoming unbounded Accepted for publication in Asymptotic Analysis, DOI: 10.3233/ASY-201626 , pp. 1-16, 2020.
12. G. Csato, P. Roy and V. H. Nguyen: Extremals for the Singular Moser-Trudinger Inequality via n-Harmonic Transplantation. Journal of Differential Equations, 270 (2021), 843–882.
13.  I. Chowdhury, G. Csato, P. Roy and SK. Firoz, Study of fractional Poincaré ineqaulity on unbounded domains. Discrete Contin. Dyn. Syst. 41 (2021), no. 6, 2993—3020.
14.  K. Bal, K. Mohanta, SK Firoj and P. Roy: Fractional Orlicz Hardy and Poincaré Inequality, Nonlinear Analysis, TMA, 216 (2022), Paper No. 112697, 22 pp.
15.  I. Chowdhury and P. Roy: Fractional Poincaré inequality on unbounded domains with finite ball condition: A counter example, Nonlinear Analysis. 228 (2023).
16. K. Bal, K. Mohanta and P. Roy: Magnetic fractional Poincare inequality in punctured domains.- Journal of mathematical analysis and applications (2024).
17. R. Rawat, H. Roy and P. Roy: Nonlinear elliptic eigenvalue problems in cylindrical domains becoming unbounded in one direction. accepted for publication –Asymptotic Analysis (2024).
18. Adimurthi, P. Roy and V. Sahu: The Trudinger type inequality in fractional boundary Hardy inequality- Communications in pure and applied analysis, 24 (2024).
19. Adimurthi, P. Roy and V. Sahu: Boundary Hardy inequality on functions of bounded variation. Accepted for publications in Scuola Normale Superiore, Annali di Scienze (to appear in 2027). 
20.  Adimurthi, P. Jana and Prosenjit Roy Boundary fractional Hardy’s inequality in dimension one: The critical case. Communications in contemporary mathematics, 28, Paper No. 2550051.
21. T.BourdejerouandP.Roy:Asymptoticissueforfractionallaplacianonlongcylinders. NODEA- Nonlinear differential equation and applications 33 (2026), paper no- 24, 29pp 
22. P. Roy and I. Shafrir: A mixed eigenvalue problem on domains tending to infinity in several direc- tions. Coomunications in Contemporary Mathematics, https://doi.org/10.1142/S0219199725400073. 
23. Adimurthi, P. Roy and V. Sahu: Fractional Hardy inequality with singularity on submanifold. Calculus of variations and PDEs, 62, paper no 62.
24. R. Rawat, H. Roy and P. Roy: Fractional Caffarelli-Kohn-Nirenberg type inequalities on the Heisenberg group Journal of Differential Equations, 257,(2026).
25.  Adimurthi, P. Roy and V. Sahu: Fractional boundary Hardy inequality for the critical cases Journal of Functional Analysis, Volume 290, Issue 8, 2026.
26.  G. Csato. P. Roy: A fractional Hardy-Sobolev inequality of Michael-Simon type on convex hypersurfaces. Mathematische Annalen 395, Issue 14, (2026).