Curriculum Vitae. General Relativity, Partial Differential Equations

Transcription

1 Curriculum Vitae Gustav Holzegel Contact Information Department of Mathematics South Kensington Campus (44) Imperial College London, SW7 2AZ United Kingdom Research Interests Professional History General Relativity, Partial Differential Equations Instructor, Princeton University; September 2008-June 2011 Assistant Professor, Princeton University; September 2011-August 2012 Lecturer, Imperial College, London; September 2011-July 2014 Reader, Imperial College, London; from August 2014 Education University of Cambridge (UK) Ph.D. (June 2008) Relativity and Gravitation group of the Department of Applied Mathematics and Theoretical Physics (DAMTP) Supervisors: Prof. G. W. Gibbons, Prof. M. Dafermos Part III Mathematics , with distinction University of Kaiserslautern (GER) German Diploma (Physics) , with distinction exchange student at ETH Zurich, exchange student at University of Freiburg, Honours and Awards Adams Prize (May 2018) Whitehead Prize (July 2016) ERC Consolidator Grant ( ) ERC Starting Grant ( ) NSF grant (awarded July 2012) Member of Studienstiftung des deutschen Volkes (German Merit Foundation) Publications G. Holzegel and A. Shao, Unique continuation from infinity in asympotically Antide Sitter spacetimes II: Non-static boundaries, 39 pages, [arxiv: ] (accepted by Communications in Partial Differential Equations) G. Holzegel, Conservation laws and flux bounds for gravitational perturbations of the Schwarzschild metric, Class. Quant. Grav. 30 (22), 2016 [arxiv: ]

2 G. Holzegel and A. Shao, Unique continuation from infinity in asymptotically Anti-de Sitter spacetimes, [arxiv: ], Comm. Math. Phys. (2016) 347: 723. doi: /s Gustav Holzegel, Sergiu Klainerman, Jared Speck, Willie Wong, Shock Formation in Small-Data Solutions to 3D Quasilinear Wave Equations: An Overview, JHDE 13 (1) (2016) [arxiv: ] M. Dafermos, G. Holzegel and I. Rodnianski, A scattering theory construction of dynamical vacuum black holes, to appear in Journal of Differential Geometry [arxiv: ] G. Holzegel, C. Warnick, The Einstein-Klein-Gordon-AdS system for general boundary conditions, JHDE 12 (2) (2015) G. Holzegel, J. Smulevici, Quasimodes and a Lower Bound on the Uniform Energy Decay Rate for Kerr-AdS Spacetimes, Analysis & PDE 7 (2014), No. 5, G. Holzegel, C. Warnick, Boundedness and growth for the massive wave equation on asymptotically anti-de Sitter black holes, J. Funct. Anal. 266 (4) (2014) G. Holzegel, J. Smulevici, Decay Properties of Klein-Gordon fields on Kerr-AdS spacetimes, Comm. Pure Appl. Math. 66 (11) (2013) G. Holzegel, J. Smulevici, Stability of Schwarzschild-AdS for the spherically symmetric Einstein-Klein-Gordon system, Comm. Math.Phys. 317 (1) (2013) G. Holzegel, J. Smulevici, Self-gravitating Klein-Gordon fields in asymptotically Anti-de-Sitter spacetimes, Annales Henri Poincaré 13 (4) (2012) G. Holzegel, Well-posedness for the massive wave equation on asymptotically antide Sitter spacetimes, JHDE 9 (2) (2012) G. Holzegel, The massive wave equation on slowly rotating Kerr-AdS spacetimes, Comm. Math. Phys. 294 (2010) G. Holzegel, Asymptotic stability of the five-dimensional Schwarzschild metric under biaxial perturbations, Adv. Theor. Math. Phys. 14 (5) (2010) G. Holzegel, T. Schmelzer and C. M. Warnick, Ricci Flow of Biaxial Bianchi IX Metrics, Class. Quant. Grav. 24 (2007) M. Dafermos and G. Holzegel, On the nonlinear stability of higher-dimensional triaxial Bianchi IX black holes, Adv. Theor. Math. Phys. 10 (2006) G. W. Gibbons and G. Holzegel, The positive mass and isoperimetric inequalities for axisymmetric black holes in four and five dimensions, Class. Quant. Grav. 23 (2006) 6459 G. Holzegel, A note on the instability of Lorentzian Taub-NUT space, Class. Quant. Grav. 23 (2006) 3951

3 Preprints M. Dafermos, G. Holzegel and I. Rodnianski, Boundedness and decay for the Teukolsky equation on Kerr spacetimes I: the case a M, 84 pages, [arxiv: ] M. Dafermos, G. Holzegel and I. Rodnianski, The linear stability of the Schwarzschild solution to gravitational perturbations, 146 pages, [arxiv: ] (submitted to Acta Mathematica) G. Holzegel, J. Luk, J. Smulevici, C. Warnick, Asymptotic properties of linear field equations in anti-de Sitter space, 56 pages, [arxiv: ] G. Holzegel, Ultimately Schwarzschildean Spacetimes and the Black Hole Stability Problem, 118 pages, [arxiv: ] Invited Talks International Conference on Mathematical General Relativity, Institut Henri Poincaré, Paris, May 30 June 1, 2018 Felix Klein Kolloquium, University of Leipzig, April 11th, 2018 Field Equations on Lorentzian Spacetimes, University of Hamburg, March 19-23, 2018 XXVI International Fall Workshop on Geometry and Physics, Universidade do Minho, Braga (Portugal), 4-7 September 2017 Analysis/Stochastic Analysis Intercontinental, Imperial College London, June 26-30, WE-Heraeus-Seminar on Do Black Holes Exist? The Physics and Philosophy of Black Holes, Bad Honnef (Germany), April 24-28, 2017 Joint CDT Colloqium, ICMS Edinburgh, April 18-21, 2017 (mini-course of 4 lectures of 90 minutes) Warwick EPSRC Symposium: Geometric PDEs, Warwick University, December 12-16, 2016 Spanish-Portuguese Relativity Meeting One Hundred Years of the Schwarzschild Solution, Lisbon, September 12-15, st International Conference on General Relativity and Gravitation (plenary speaker), Columbia University, New York, July 10-15, 2016 Modern Topics in PDE, Summerschool (4 lectures of 45 minutes), University of Reading, July 3-8, 2016 Numerical Relativity and Holography (Review Talk), University of Santiago, Santiago di Compostela, June 27th-July 1st, 2016 Summer School Boston City Limits on the Geometric Analysis of Waves and Fluids (10 lectures of 1 hour), June 6-17, 2016 Paris-London Analysis Seminar, Queen Mary University, London, March 18th, 2016 DPG Fruehjahrstagung (Spring meeting of General Assembly of German Physics Society), Hamburg, February 29th-March 4th 2016 Analysis, PDE s, and Geometry (A conference in honor of Sergiu Klainerman), Princeton, January 26-29, 2016 General Relativity: A Celebration of the 100th Anniversary, Institut Henri Poincare, Paris, November 16-20, 2015

4 Gravity Seminar, University of Southampton, October 29th, 2015 Geometry and Analysis Seminar, Queen Mary UL, October 13th, 2015 DMV Conference (Annual Meeting of German Mathematicians), Hamburg, September 21-25, 2015 Mathematical Aspects of General Relativity, MFO Oberfolfach, July 13-17, 2015 Relativity Seminar, KTH Stockholm, May 26th, 2015 Colloquium, University of Reading, May 5th, 2015 Seminar on Mathematical Relativity, University Pierre and Marie Curie (Jussieu), Paris, France, April 15th 2015 Mini-Course on Shock Formation (3 hours), University of Cambridge, UK, March 5th 2015 Analysis Seminar, EPFL Lausanne, Switzerland, December 12th, 2014 Fourth Minho Meeting on Mathematical Physics, University of Minho, Braga, Portugal, October 24th, 2014 (4 lectures) SBF seminar Wave Equations (organised by the Berlin Universities), AEI Golm, October 14th, 2014 ESI-EMS-IAMP Summer school on Mathematical Relativity, Vienna, July 28th-August 1st, 2014 (5 lectures) Analysis Seminar, University of Cambridge, June 9th 2014 Analysis Seminar, Princeton University, Feb 3rd 2014 Geometric Analysis Seminar, Imperial College London, January 23rd 2014 MSRI Workshop on Initial Data and Evolution Problems in General Relativity, Nov 18th-Nov 22nd, 2013 Berkeley, California 23rd Workshop on General Relativity and Gravitation, Hirosaki, Japan, Nov 7, 2013 Astrophysics Seminar, Yukawa Institute, Kyoto, Japan, October 31st, 2013 IOP workshop 50 years of the Kerr solution, Queen Mary College, London, Sep 18th, 2013 Holography: From Gravity to Quantum Matter, Newton Institute, Cambridge, Sep 17th, 2013 GRG 20 and Amaldi 10, University of Warsaw, Poland, July 10th, 2013 Conference on Non-linear Wave equations, IHP, Paris, May 21st, 2013 PDE Seminar, University of Oxford, May 13th 2013 Analysis Seminar, University of Edinburgh, March 25th, 2013 Analysis Seminar, Imperial College, London, February 28th, 2013 Cosmology Seminar, Queen Mary College, London, February 27th, 2013 Junior Symposium in Analysis, University of Basel, February 13th, 2013 Seminar on Mathematical Relativity, University Pierre and Marie Curie (Jussieu), Paris, France, January 17th, 2013 Geometry Seminar, Imperial College, London, UK, October 4th, 2012 International Conference on non-linear PDE, Oxford, UK, Sep 10-13, 2012 International Congress of Mathematical Physics, Aalborg, Denmark, August 6th-11th, 2012

5 Colloquium, Chung-Ang University, Seoul, Korea, May 29th, 2012 Analysis Seminar, Kyoto University, Japan, May 22nd, 2012 Evolution Equations: A Workshop in Honor of Terence Tao, Northwestern University, Evanston, May 4th-6th, 2012 Analysis Seminar, University of Chicago, April 23rd, 2012 Geometry Seminar, Duke University, Durham, March 13th, 2012 Analysis Seminar, Johns Hopkins University, Baltimore, February 27th, 2012 On the Problem of Collapse in GR (workshop), University of Miami, January 12th, 2012 PDE Seminar, University of North Carolina, Chapel Hill, October 12th, 2011 Workshop Dynamics in General Relativity, Erwin Schroedinger Institute, Vienna, July 21st, 2011 Complex Analysis and Dynamical Systems, Akko, Israel, May 24th, 2011 Barrett Lectures (short talk), Knoxville, TN, May 14th, 2011 Analysis Seminar, MIT, January 27th, 2011 Scattering Theory Seminar, Purdue University, December 3rd, 2010 General Relativity Seminar, Columbia University, November 12th, 2010 Analysis Seminar, Toronto, October 29th, 2010 Mathematical Relativity, Edinburgh, Sep 4th, 2010 Geometric Analysis and General Relativity, Banff, June 20 25, 2010 Analysis Seminar, U-Penn, Mar 30th, 2010 AMS Meeting, Special Session on General Relativity, Florida; Oct 31, 2009 Mathematical Aspects of General Relativity, MFO Oberwolfach; Oct 11 17, 2009 Black holes in general relativity, MSRI, Berkeley; Sep 17, 2009 Analysis Seminar, Princeton; Oct 20, 2008 Geometric Flows in Mathematical Physics, Banff; April 15, 2008 Relativity Seminar, University of Oxford; June 3, 2008 Relativity Seminar, University of Southhampton; Jan 17, 2008 Evolution Equations and Self Gravitating Systems, MPI Potsdam; Sep 12, 2007 Conference Organization Conference Recent trends in PDE at King s College London, 8-11 January 2018 (joint with Mahir Hadzic and Alexander Pushnitski) Workshop on General Relativity and the AdS-CFT correspondence, Fields Institute, Toronto, October 23-27, 2017 (joint with Spyros Alexakis and Toby Wiseman) Workshop on Geometric Hyperbolic PDE, Imperial College London, Sep 30-Oct (joint with Arick Shao and Claude Warnick) Focus Week (June 8-12, 2015) on Black Hole Stability during the Focus Program on on 100 Years of General Relativity, Fields Institute, Toronto, May-June 2015 (joint with Steven Liebling)

6 Workshop on Naked Singularities, Princeton, March 16th-20th 2012 (joint with Sergiu Klainerman, Jonathan Luk and Jared Speck, supported by the AMS) Session on Mathematical Challenges of General Relativity at the AMS Joint Mathematics Meeting in San Francisco; Jan 13 16, 2010 (with Paul Allen, Michael Eichmair, Jared Speck and Willie Wong) Teaching and Supervision Courses taught at Imperial: Analytic Methods in PDE (Spring 2013) Functional Analysis (Autumn 2013) Analytic Methods in PDE (Spring 2014) Functional Analysis (Spring 2015) Functional Analysis (Spring 2016) Measure and Integration (Autumn 2016) Analytic Methods in PDE (Spring 2018) Supervision of Master (MSc and MSci) students at Imperial: Johnny Zhong (2014) Francisco de Lima Andrade (2016) Asad Chaudhary, Adam Almakroudi (physics), Maria Georgountzou (2017) Supervision of PhD students at Imperial: Dominic Dold (started 2013, defended January 2018; co-supervised with M. Dafermos (University of Cambridge)) Thomas Johnson (started in 2014, defended in May 2018) Georgios Chalivopoulos (started in 2016) Supervision of Postdocs: Dr. Arick Shao (8/2014-8/2016; now a lecturer at Queen Mary Univ. of London) Dr. Martin Taylor (started 1/2016 from University of Cambridge) Departmental Responsibilities Coordinator Undergraduate Prizes (since Autumn 2013) Member of the Research Committee (since Autumn 2016) Referees Prof. G. W. Gibbons Prof. M. Dafermos DAMTP DPMMS Centre for Mathematical Sciences Centre for Mathematical Sciences Wilberforce Road Wilberforce Road Cambridge, CB3 0WA Cambridge, CB3 0WB United Kingdom United Kingdom Prof. I. Rodnianski Prof. S. Klainerman Princeton University Princeton University Department of Mathematics Department of Mathematics Princeton, NJ Princeton, NJ USA USA

7 Prof. D. Christodoulou ETH Zurich Department of Mathematics Rämistrasse Zurich Switzerland London, June 2018