About me
I am a third-year PhD student under the supervision of Yvan Martel. I work on nonlinear PDEs, with a particular interest in dispersive equations.
Interests
- Dispersive equations
- Finite-time blow-up
- Soliton dynamics
- Singularity formation and analysis
- Stability questions
- Long-time dynamics
Publications and preprints
Slowly travelling infinite point blow-up for the critical generalized KdV equation
Nailya Manatova, 2026, Preprint, arXiv
Full range of infinite point blow-up exponents for the critical generalized KdV equation
Nailya Manatova, 2025, accepted for publication in: Transactions of the American Mathematical Society, arXiv
Talks
Theme: Finite time blow up for the critical generalized KdV equation
- 09/2025, LJLL, Paris, PhD Seminar
- 12/2025, LMO, Orsay, PhD Seminar
- 03/2026, LMV, Versailles, PhD Seminar
- 05/2026, AGM, Cergy, PhD Seminar
- 09/2026, IRMAR, Rennes, PDE team Seminar
Teaching
- 2024, TD L1 Bio-Info Maths Générales 2, UFR de Sciences, Versailles
- 2025, TD L2 Maths Analyse et Algèbre, UFR de Sciences, Versailles
- 2025, TD L1 oui-si Maths Générales 1, UFR de Sciences, Versailles
Posts and Responsibilities
- 2024-2025, PhD Student Representative on the EDMH Council, Université Paris-Saclay
- 2025–2026, Co-organizer of the PhD Student Seminar, LMV, Versailles (Co-organizer: Lucas Pannier)
Contact
- my_name.my_surname[at]uvsq.fr
-
45 avenue des États-Unis
78035 Versailles cedex - office 2302, building Fermat