Georgios Moschidis

I am a Miller Research Fellow at UC Berkeley, hosted by Professor Maciej Zworski. My office is 751 Evans Hall.

My UC Berkeley personal webpage is here.

Email: gmoschidis [at] berkeley.edu

Research Interests:

General Relativity, Partial Differential Equations, Differential Geometry

Education:

  • PhD (2018): Princeton University (under the supervision of Mihalis Dafermos).
  • BSc (2013): National Technical University of Athens (School of Applied Mathematical and Physical Science).

  • Papers:

  • A proof of the instability of AdS for the Einstein--massless Vlasov system, ArXiv preprint: arXiv:1812.04268 (2018).
  • The characteristic initial-boundary value problem for the Einstein--massless Vlasov system in spherical symmetry, ArXiv preprint: arXiv:1812.04274 (2018).
  • A proof of the instability of AdS for the Einstein--null dust system with an inner mirror, submitted. ArXiv preprint: arXiv:1704.08681 (2017).
  • 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 (2017).
  • 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).


  • Invited Talks:

  • 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

  • Teaching Experience:

  • 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