I am currently a Clay Research Fellow based at Princeton University. Starting in September 2022, I will be an Assistant Professor at EPFL.
Email: gm6 [at] math.princeton.eduGeneral Relativity, Partial Differential Equations, Differential Geometry
PhD (2018): Princeton University (under the supervision of Mihalis Dafermos). BSc (2013): National Technical University of Athens (School of Applied Mathematical and Physical Science).
2018-2021: Miller Research Fellow at UC Berkeley.
On the non-existence of trapped surfaces under low-regularity bounds (with J. Luk). ArXiv preprint: arXiv:2204.09855. The dimensional Brunn-Minkowski inequality in Gauss space (with A. Eskenazis), Journal of Functional Analysis 280(6) (2021), 108914 (click here for the arXiv preprint). A proof of the instability of AdS for the Einstein--massless Vlasov system, submitted. ArXiv preprint: arXiv:1812.04268. The characteristic initial-boundary value problem for the Einstein--massless Vlasov system in spherical symmetry, submitted. ArXiv preprint: arXiv:1812.04274. A proof of the instability of AdS for the Einstein--null dust system with an inner mirror, Analysis & PDE 13(6) (2020), 1671-1754 (click here for the arXiv preprint). The Einstein--null dust system in spherical symmetry with an inner mirror: structure of the maximal development and Cauchy stability, submitted. ArXiv preprint: arXiv:1704.08685. A proof of Friedman's ergosphere instability for scalar waves, Communications in Mathematical Physics 358(2) (2018), 437-520 (click here for the arXiv preprint). Superradiant instabilities for short-range non-negative potentials on Kerr spacetimes and applications, Journal of Functional Analysis 273 (2017), 2719-2813 (click here for the arXiv preprint). The $r^{p}$-weighted energy method of Dafermos and Rodnianski in general asymptotically flat spacetimes and applications, Annals of PDE 2:6 (2016), 1-194, doi:10.1007/s40818-016-0011-7 (click here for the arXiv preprint). Logarithmic local energy decay for scalar waves on a general class of asymptotically flat spacetimes, Annals of PDE 2:5 (2016), 1-124, doi:10.1007/s40818-016-0010-8 (click here for the arXiv preprint).
Second Congress of Greek Mathematicians, Athens, 4-8 July 2022 Black Hole Initiative Conference, Harvard University, 18-20 May 2022 Greek Mathematical Seminar, online seminar, 4 May 2022 Analysis Seminar, Princeton University, 2 May 2022 General Relativity Conference, CMSA, Harvard University, 4-8 April 2022 Analysis and Partial Differential Equations Seminar, Johns Hopkins University, 28 March 2022 Analysis & Geometry Seminar, University of Jena & EPFL (joint online seminar), 9 December 2021 Princeton Gravity Initiative Seminar, Princeton University, 8 November 2021 Workshop II: Mathematical and Numerical Aspects of Gravitation, IPAM, 25-29 October 2021 International Congress of Mathematical Physics, Geneva, 2-7 August 2021 Joint Online Mathematical Relativity Colloquium, 1 July 2021 CMS 75th+1 Anniversary Summer Meeting, 7-11 June 2021 General Relativity Seminar, CMSA, Harvard University, 23 April 2021 PDE Seminar, Vanderbilt University, 16 April 2021 MIT PDE/Analysis Seminar, MIT, 16 February 2021 Analysis and PDE Seminar, UCLA, 12 January 2021 Mathematical and Computational Approaches for the Einstein Field Equations with Matter Fields, ICERM, 26-30 October 2020 Young Mathematician Lecture Series, National University of Singapore, 23 October 2020 HEP seminar, University of Crete, 30 June 2020 Black Hole Initiative Colloquium, Harvard University, 4 February 2020 Analysis & PDE seminar, National University of Singapore, 15 January 2020 Lectures on Theoretical Physics, National Technical University of Athens, 21 December 2019 Geometry & Analysis Seminar, Columbia University, 22 November 2019 Black Hole Initiative Conference, Harvard University, 20-22 May 2019 The Gravity Initiative Inaugural Meeting, Princeton University, 6-8 March 2019 Analysis Seminar, Northwestern University, 25 February 2019 PDE Seminar, UC Davis, 15 February 2019 Paris/Berkeley/Bonn/Zürich Analysis Seminar, UC Berkeley, 29 November 2018 Analysis and PDE Seminar, UC Berkeley, 17 September 2018 Workshop on Mathematical General Relativity, Mathematisches Forschungsinstitut Oberwolfach, 5-11 August 2018 First Congress of Greek Mathematicians, Athens, 25-30 June 2018 Analysis & Applied Math Seminar, University of Toronto, 23 March 2018 Analysis and PDE seminar, UCLA, 8 December 2017 Analysis Seminar, UC San Diego, 5 December 2017 Workshop on General Relativity and AdS/CFT, Fields Institute, 23-27 October 2017 Analysis Seminar, Princeton University, 9 October 2017 Physics Seminar, National Technical University of Athens, 11 September 2017 Workshop: Advances in General Relativity, ESI, Vienna, 28 August-1 September 2017 Summer School in Nonlinear Partial Differential Equations, National Technical University of Athens, 20-24 June 2017 Analysis and PDE Seminar, Stanford University, 22 May 2017 Workshop: Geometry - In honour of Mario Micallef's 60th birthday, University of Warwick, 8-10 May 2017 Gravity Seminar, University of Southampton, 23 March 2017 Seminar on Mathematical General Relativity, Paris VI, 30 January 2017 Seminar in Analysis and Probability, University of Athens, 12 January 2017 Partial Differential Equations Seminar, Instituto Superior Tecnico, Universidade de Lisboa, 25 November 2016 Pure Analysis and PDEs Seminar, Imperial College London, 28 October 2016 NEB-17, Recent Developments in Gravity, Mykonos, 22 September 2016 Analysis Seminar, Princeton University, 9 May 2016 Mathematics Seminar, National Technical University of Athens, 4 July 2014
Instructor for MAT 175: Basic Multivariable Calculus for Economics and Life Sciences, Princeton University, Spring 2016 Example classes for the Part III course Analysis of PDEs, University of Cambridge, Michaelmas 2016 Supervisions for the Part II course Analysis of Functions, University of Cambridge, Lent 2017