I am a third-year PhD student at the Laboratoire de Mathématiques d’Orsay, working under the supervision of Frédéric Rousset. Before coming to Orsay, I studied applied mathematics and physics at the Universidad de Chile.
Research
I study partial differential equations arising in mathematical physics. My current work concerns stability of dispersive equations and kinetic–fluid models of plasmas. I explore how solutions to nonlinear equations behave, employing methods of energy estimates, spectral analysis and virial identities.
I have always been fascinated by the richness of mathematical structures arising from nonlinear physical phenomena, and I remain enthusiastic about exploring new problems at this interface.
News and Updates
- July 2026: Paper accepted for publication in the Memoirs of the American Mathematical Society.
- June 2026: Posted an updated version of the preprint “Kink dynamics for the Yang-Mills field in an extremal Reissner-Nordström black hole” (joint with C. Muñoz) on arXiv:2501.12790v4 including referee suggestions.
Contact Information
I am always open to discussions, questions about my work, or potential collaborations. Please feel free to reach out to me at my primary research address below:
- Email:
ignacio-andres.acevedo-ramos [at] cnrs.fr - Office: Room 3A20, Bâtiment 307 (Laboratoire de Mathématiques d’Orsay)
Related topics
Please visit the fantastic website of my colleague Arthur Yax at LMO.