Alexandru D. Ionescu

Alexandru D. Ionescu
OccupationsMathematician and academic
Academic background
EducationB.S., Mathematics
M.A., Mathematics
Ph.D., Mathematics
Alma materMassachusetts Institute of Technology
Princeton University
Academic work
InstitutionsPrinceton University

Alexandru D. Ionescu is a mathematician and academic who serves as a professor of mathematics at Princeton University.

Ionescu's research primarily focuses on partial differential equations (PDEs) and mathematical physics. He is a fellow of the American Mathematical Society, a member of the American Academy of Sciences and Letters, and was an invited speaker at the International Congress of Mathematicians in 2022.

Education and career

Ionescu earned his B.S. in Mathematics from the Massachusetts Institute of Technology in 1995. He then obtained both his M.A. in Mathematics in 1997 and his Ph.D. in Mathematics in 1999 from Princeton University.[1]

Ionescu held postdoctoral appointments at the Institute for Advanced Study and the Massachusetts Institute of Technology. In 2002, he joined the University of Wisconsin–Madison as an assistant professor, was promoted to associate professor in 2005, and became a full professor in 2008. Since 2010, he has served as a professor at Princeton University.[1]

Works

Ionescu's research spans analysis and partial differential equations, with applications to mathematical physics. His work has addressed questions of global well-posedness for nonlinear dispersive equations, including the KP-I equation,[2] Schrödinger maps,[3] the Benjamin–Ono equation,[4] and water waves[5]

Ionescu has also made contributions to harmonic analysis, particularly in ergodic theory, where he proved extensions of the Furstenberg–Bergelson–Leibman conjecture to the nilpotent setting.[6] His research further encompasses kinetic and plasma models, including stability[7] and scattering results for the Vlasov–Poisson system.[8]

In addition, his work in general relativity includes proving rigidity results for Kerr black-hole solutions to the Einstein vacuum equations under specific geometric and analytic assumption.[9]

Awards and honors

References

  1. ^ a b "CV". Princeton University. Retrieved September 15, 2025.
  2. ^ Klein, C.; Saut, J.-C. (1 October 2012). "Numerical Study of Blow up and Stability of Solutions of Generalized Kadomtsev–Petviashvili Equations". Journal of Nonlinear Science. 22 (5): 763–811. doi:10.1007/s00332-012-9127-4. ISSN 1432-1467.
  3. ^ Chousionis, Vasilis; Erdoğan, M. Burak; Tzirakis, Nikolaos (2015). "Fractal solutions of linear and nonlinear dispersive partial differential equations". Proceedings of the London Mathematical Society. 110 (3): 543–564. arXiv:1406.3283. doi:10.1112/plms/pdu061. ISSN 1460-244X.
  4. ^ "On well-posedness of Benjamin-Ono type equations". Universitat Bielefeld. Retrieved September 7, 2025.
  5. ^ Wang, Xuecheng (2018). "Global Infinite Energy Solutions for the 2D Gravity Water Waves System". Communications on Pure and Applied Mathematics. 71 (1): 90–162. doi:10.1002/cpa.21711 – via Wiley.
  6. ^ Bourgain, Jean; Mirek, Mariusz; Stein, Elias M.; Wright, James (January 2023). "On a multi-parameter variant of the Bellow–Furstenberg problem". Forum of Mathematics, Pi. 11: e23. doi:10.1017/fmp.2023.21. ISSN 2050-5086.
  7. ^ Velozo Ruiz, Anibal; Velozo Ruiz, Renato (13 March 2024). "Small Data Solutions for the Vlasov–Poisson System with a Repulsive Potential". Communications in Mathematical Physics. 405 (3): 80. doi:10.1007/s00220-024-04970-3. ISSN 1432-0916.
  8. ^ Bigorgne, Léo (22 July 2024). "Modified scattering for the small data solutions to the Vlasov–Maxwell system". Journées équations aux dérivées partielles: 1–15. doi:10.5802/jedp.673. ISSN 2118-9366.
  9. ^ Gómez-Lobo, Alfonso García-Parrado; Senovilla, José M. M. (1 June 2013). "A set of invariant quality factors measuring the deviation from the Kerr metric". General Relativity and Gravitation. 45 (6): 1095–1127. arXiv:1211.6884. doi:10.1007/s10714-013-1518-9. ISSN 1572-9532.
  10. ^ "Fellows Database - Alfred P. Sloan Foundation". sloan.org. Retrieved September 15, 2025.
  11. ^ "Fellows Directory • The David and Lucile Packard Foundation". The David and Lucile Packard Foundation. Retrieved September 15, 2025.
  12. ^ "Seven honored with Romnes awards". University of Wisconsin - News. 18 March 2008. Retrieved September 15, 2025.
  13. ^ "Fellows of the American Mathematical Society". American Mathematical Society. Retrieved September 15, 2025.
  14. ^ "Alexandru D. Ionescu". American Academy of Sciences & Letters. Retrieved September 15, 2025.