Boris Shakarov
Postdoctoral Researcher in Mathematics
Postdoctoral Researcher in Mathematics
Office: Paul Sabatier Univ. 1R3 building, room 217
Phone: (33) 65198-5679
Email: boris.shakarov at math.univ-toulouse fr
I am a postdoctoral researcher in partial differential equations at the University of Toulouse, funded by ANR NQG (November 2025–April 2027), working with Stefan Le Coz.
Previously, my postdoctoral research at Toulouse was supported by LabEx CIMI (November 2023–November 2025). I received my PhD in Applied Mathematics, cum laude, from the Gran Sasso Science Institute in June 2023, supervised by Paolo Antonelli.
My research focuses on the mathematical analysis of partial differential equations, with a particular emphasis on the nonlinear Schrödinger equation and its dissipative, variational, and geometrically constrained formulations, as well as the associated gradient flow approaches. I investigate the asymptotic behavior of solutions, stability, and dynamics of solitary waves, and scattering phenomena, both in Euclidean spaces and in other geometries such as quantum graphs, open guiding structures, and domains with obstacles and geometrical trapping.
In recent times, I am particularly interested in the question of dimensional reduction and transverse instability.
Download my documents: [📄 Complete CV] | [🎓 PhD Dissertation]
My research profiles: ZbMath | Google Scholar | arXiv | Mathscinet