I am an Instructor in the Mathematics departement at Princeton University.
I got my Ph.D. from the University of Cambridge in May 2019 under the supervision of Jonathan Luk. My thesis can be found here.
Department of Mathematics
Princeton NJ 08544-1000
Nonlinear partial differential equations, General Relativity, Mathematical physics
- (With Jonathan Luk) Nonlinear interaction of three impulsive gravitational waves II: The wave estimates, in preparation.
- (With Jonathan Luk) Nonlinear interaction of three impulsive gravitational waves I: Main result and the geometric estimates.
- Mass inflation and the C2-inextendibility of spherically symmetric charged scalar field dynamical black holes, Commun. Math. Phys. (2021), online first.
- The breakdown of weak null singularities inside black holes.
- Decay of weakly charged solutions for the spherically symmetric Maxwell-Charged-Scalar-Field equations on a Reissner-Nordstrom exterior space-time, to appear in Annales Scientifiques de l'École Normale Supérieure.
- Stability and instability of the sub-extremal Reissner-Nordstrom black hole interior for the Einstein-Maxwell-Klein-Gordon equations in spherical symmetry, Commun. Math. Phys. (2018) 360: 103.
I am organizing the Analysis Seminar with Tristan Buckmaster. Please contact me if you would like to be added to the e-mail list which contains Zoom details.
March 2021: AMS Sectional Meeting (online). January 2021: Analysis and PDE Seminar, Stanford. January 2021: Séminaire Analyse et EDP, Cergy-Pontoise University. December 2020: Mathematical GR and Hyperbolic PDE Seminar (online). November 2020: Junior GR Seminar (online). October 2020: Analysis seminar, Caltech. October 2020: Analysis and PDE seminar, UC Berkeley. June 2020: Conference on Mathematical General Relativity, Institut Henri Poincaré (postposned due to Covid 19). April 2020: PDE seminar, Brown University. March 2020: Gravity initiative seminar, Princeton University. October 2019: Mathematical Physics seminar, Rutgers University. September 2019: AMS Sectional Meeting, University of Wisconsin-Madison. November 2018: Cambridge Center for Analysis Seminar, University of Cambridge. November 2018: Junior Analysis Seminar, Imperial College London. November 2018: DAMTP Friday General Relativity Seminar, University of Cambridge. October 2018: Analysis Seminar, Princeton University. September 2018: Mathematical Relativity Seminar, Instituto Superior Tecnico, Universidade de Lisboa. April 2018: AMS Sectional Meeting, Portland State University. March 2018: OxBridge PDE Conference, University of Cambridge. March 2018: Seminar on General Relativity, Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie. April 2017: ICMS joint CDT Colloquium, University of Edinburgh. May 2017: Student analysis seminar, Stanford University.
Spring term 2021: Course head and instructor for Math104, Calculus II, at Princeton University. Fall term 2020: Course instructor for Math104, Calculus II, at Princeton University. Spring term 2020: Course head and instructor for Math429, Topics in Analysis: Distribution Theory, PDE & Basic Inequalities of Analysis, at Princeton University. Fall term 2019: Course instructor for Math201, Multivariable Calculus, at Princeton University. Michaelmas (Fall) term 2018: Course supervisor for the Part II class Probability and Measure, at the University of Cambridge. Summer 2015: Teaching assistant, at Schiller University, Paris campus.
September 2019-Present: Instructor, Princeton University, Princeton, United States. May 2019-August 2019: Research Associate, Imperial College London, London, United Kingdom.
Ph.D. in Mathematics (2019): University of Cambridge. MSc in Engineering (2016): École Centrale Paris (now Centrale-Supélec). Master 1 in Pure and Applied Mathematics (2015): Université Paris-Sud XI (now Université Paris-Saclay). BSc in pure and applied Mathematics (2014): Université Paris-Sud XI (now Université Paris-Saclay).
September 2015-September 2019: EPSRC Ph.D. scholarship. January 2017: Smith-Knight & Rayleigh-Knight Ph.D. dissertation prize. July 2015: Centrale talents, awarded to the best students of École Centrale Paris for exceptional achievements.
February 2017: “An overview of mathematical general relativity: how wave equations enlighten the theory of Black Holes”, Kiddie Colloquium, Stanford University. April 2016: “Space-time, waves and black holes: how determinism in General Relativity can be addressed by the theory of wave equations”, Research days talk at Robinson College, University of Cambridge. September 2015: “Why should you love Maths?”, talk given at Notre-Dame high-school, Mantes-la-Jolie, France. August 2015: “Why should you love Maths?”, talk given at Schiller University, Paris.