Saikatul Haque
Allahabad, Uttar Pradesh| Grant Category: | Fulbright-Nehru Postdoctoral Research Fellowships |
| Project Title: | Well and Ill-posedness of Nonlinear Evolution Equations |
| Field of Study: | Mathematical Sciences |
| Home Institution: | Harish-Chandra Research Institute (HRI), Allahabad, Uttar Pradesh |
| Host Institution: | University of California , Los Angeles, CA |
| Grant Start Month: | March 2024 |
| Duration of Grant: | Twenty-four months |
Brief Bio:
Dr. Saikatul Haque is a Postdoctoral Fellow at Harish-Chandra Research Institute, Allahabad since 2021. He obtained his Ph.D. in 2021, under the supervision of Prof. Sandeep Kunnath, at Tata Institute of Fundamental Research – Centre for Applicable Mathematics (TIFR-CAM), Bengaluru. He earned his master’s in 2016 from TIFR-CAM after completing his bachelor’s in 2014 at R K Mission Vidyamandira, University of Calcutta, Kolkata.
Dr. Haque’s research work focuses on the study of well-posedness and regularity for elliptic and time dependent partial differential equations. He has published several research articles in reputed international journals. He also qualified IIT JAM in 2014 and CSIR UGC NET held in December 2015. He has been selected for the INSPIRE faculty fellowships in 2023 by Department of Science & Technology, Government of India.
As a Fulbright-Nehru Postdoctoral Research fellow, Dr. Haque is studying mainly three partial differential equations: the nonlinear Schrödinger equation (NLS), a modified Korteweg-de Vries (mKdV) equation, and a related heat equation. The main focus of this project is to understand the global time behavior of the energy-critical focusing inhomogeneous fractional NLS. This includes research into local and global well-posedness, variational estimates for elliptic problems, linear profile decomposition, and rigidity. For the cubic NLS, mKdV and nonlinear heat equation, Dr. Haqueis investigating well-posedness and ill-posedness in modulation spaces.