Department of

Divyang Bhimani

Assistant Professor


Harmonic Analysis and Nonlinear Dispersive Equations


Divyang Bhimani obtained his PhD from Harish-Chandra Research Institute (HRI) in 2016. He was a postdoctoral fellow (August 2016 to February 2017) and INSPIRE Faculty (March 2017 to February 2021) at TIFR Center for Applicable Mathematics. During this period, he was also a SERB Indo-US Research Fellow (March 2018 - February 2019) at University of Maryland and Lebesgue Post-Doc Fellow (October 2019 to July 2020) at IRMAR, University of Rennes 1 in France.


Harmonic analysis, nonlinear dispersive equations

Dr. Divyang Bhimani works in harmonic analysis, time-frequency analysis and nonlinear dispersive equations; and am interested in the interplay between them. This can be divided into three broad categories in terms of some specific topics:

  • Fourier/Hermite multiplier operators, Composition operators, Dispersive and Strichartz Estimates
  • the time behavior of solutions of nonlinear dispersive equations (e.g. nonlinear Schrodinger eq.) such as well-posedness (local and global), ill-posedness and blow-up
  • Wilson bases and its connections Balian-Low theorem/pseudodifferential operators, HRT conjecture

Selected Publications

Bhimani, D. G.; Manna, R.; Nicola, F.; Thangavelu, S. and Trapasso, S. I. (2021). Phase space analysis of the Hermite semigroup and applications to nonlinear global well-posedness. Adv. Math. 392, Paper No. 107995.

Bhimani, D.G. and Remi, C. (2020). Norm inflation for nonlinear Schrödinger equations in Fourier-Lebesgue and modulation spaces of negative regularity. J. Fourier Anal. Appl. 26, no. 6, Paper No.78, 34 pp.

Bhimani, D. G.; Grillakis, M. and Okoudjou, K. A. (2020). The Hartree-Fock equations in modulation spaces. Comm. Partial Differential Equations 45, no. 9, 1088–1117.

Bhimani, D. G.; Balhara, R and Thangavelu, S. (2019). Hermite multipliers on modulation spaces. Analysis and partial differential equations: perspectives from developing countries, 42–64, Springer Proc. Math. Stat., 275, Springer, Cham.

Bhimani, D. G. and Ratnakumar, P. K. (2016). Functions operating on modulation spaces and nonlinear dispersive equations. J. Funct. Anal. 270, no. 2, 621–648.