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) Non-linear interaction of three impulsive gravitational waves for the Einstein equations under polarised U(1) symmetry, in preparation.
- Mass inflation and the C2-inextendibility of spherically symmetric charged scalar field dynamical black holes.
- 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.
- 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.
June 2020 : Conference on Mathematical General Relativity, Institut Henri Poincare. 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 : Partial Differential Equations 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, Universite Pierre et Marie Curie. April 2017 : ICMS joint CDT Colloquium, University of Edinburgh. May 2017 : Student analysis seminar, Stanford 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, University of Cambridge. Supervisions for the Part II class "Probability and Measure". August 2015 : Teaching assistant, Schiller University, Paris campus. Design of course material and problem sets in the Summer School "Advanced Mathematics in English" at Schiller University.
September 2019- : Instructor, Princeton University, Princeton, United-States. May 2019-August 2019 : Research Associate, Imperial College London, London, United-Kingdom.
2015-2019 : PhD student at the Cambridge Center for Analysis, affilated to the Department of Pure Mathematics and Mathematical Statistics , Cambridge, United-Kingdom. 2016-2018 : Visiting student at Stanford University, California, United-States. 2013-2016 : BSc and MSc in Engineering, Ecole Centrale Paris , Chatenay-Malabry, France (now Centrale-Supelec, Gif-sur-Yvette). 2014-2015 : Master 1 in pure and applied Mathematics , Universite Paris-Sud XI, Orsay, France (now Universite Paris-Saclay). 2013-2014 : BSc in pure and applied Mathematics, Universite Paris-Sud XI, Orsay, France (now Universite Paris-Saclay). 2010-2013 : Classes preparatoires at Lycee Condorcet, Paris, France.
September 2015-September 2019 : EPSRC Ph.D. scholarship. January 2017 : Smith-Knight & Rayleigh-Knight Prizes 2017 essay competition, Grade 2 indicating "a very good essay that contains original results that are sufficient for a publication of high quality." July 2015 : Centrale talents , awarded to the best five to eight students of Ecole Centrale Paris out of 1200 for their 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.