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| Mihalis Dafermos | |
|---|---|
| Name | Mihalis Dafermos |
| Occupation | Mathematician |
| Fields | Mathematical General Relativity, Partial Differential Equations |
| Institutions | Princeton University, University of Cambridge, University of Oxford, Massachusetts Institute of Technology, Harvard University, Brown University, Columbia University, Stanford University, University of California, Berkeley, California Institute of Technology, Courant Institute of Mathematical Sciences, Institute for Advanced Study, Max Planck Institute for Mathematics, ETH Zurich, Imperial College London, University of Toronto |
| Alma mater | University of Cambridge, Cambridge Trinity College, University of Oxford |
| Doctoral advisor | Demetrios Christodoulou |
| Notable students | Jonathan Luk, Carlos Kenig |
| Awards | Whitehead Prize, Scherk Prize, Royal Society University Research Fellowship |
Mihalis Dafermos is a mathematician known for work in mathematical aspects of general relativity, global behavior of solutions of hyperbolic partial differential equations, and stability problems for spacetime models such as the Schwarzschild metric and the Kerr metric. He has held positions at leading institutions including the Princeton University Department of Mathematics and research visits at the Institute for Advanced Study and the Max Planck Institute for Mathematics.
Born in Greece, he pursued undergraduate studies at University of Cambridge's Trinity College and completed graduate study at the University of Cambridge under Demetrios Christodoulou, with further research ties to University of Oxford. During formative years he engaged with research communities at the Courant Institute of Mathematical Sciences, the Institut des Hautes Études Scientifiques, and the International Centre for Theoretical Physics.
Dafermos held faculty and research appointments spanning Princeton University, the University of Cambridge Faculty of Mathematics, and visiting positions at Harvard University, Massachusetts Institute of Technology, Caltech, and the Institute for Advanced Study. He contributed to collaborative programs at the Max Planck Institute for Mathematics, the Perimeter Institute, and the Simons Center for Geometry and Physics. His work has been presented at conferences such as the International Congress of Mathematicians, the American Mathematical Society meetings, the European Mathematical Society congresses, and workshops at the Banff International Research Station and the Mathematical Sciences Research Institute.
Dafermos's research focuses on nonlinear stability and singularity formation in models arising from Einstein field equations, including rigorous analysis of the Cauchy problem for Einstein–Maxwell equations and scalar fields on fixed backgrounds like Reissner–Nordström and Kerr–Newman spacetimes. He established results on cosmic censorship conjectures related to the Penrose singularity theorem and provided pioneering proofs about decay and boundedness for wave equations on the Schwarzschild metric, interacting with work by Demetrios Christodoulou, Yakov Shmulian, Sergiu Klainerman, Igor Rodnianski, and Helmut Friedrich. His monographs and papers develop techniques such as vector field methods, energy estimates, and Price law heuristics, building on foundational analysis by Claude Bardos, Lars Hörmander, Louis Nirenberg, and Peter Lax. Collaborations and comparisons involve scholars including Lydia Bieri, André Neves, Jonathan Luk, Dafermos–Rodnianski, Frédéric Rousset, and researchers at Imperial College London and ETH Zurich.
His work connects rigorous PDE analysis to geometric frameworks like the Cauchy horizon structure of charged black holes, explorations of the interior of rotating black holes in relation to the Kerr conjecture, and the study of stability of event horizons under perturbations studied alongside results by Robert Wald, Roger Penrose, Stephen Hawking, Gary Gibbons, and Shing-Tung Yau. Techniques he developed have implications for nonlinear wave propagation studied in contexts addressed by Terence Tao, Elliott Lieb, Michael Taylor, and Richard Melrose.
Dafermos has received recognition including the Whitehead Prize from the London Mathematical Society, a Royal Society University Research Fellowship, and fellowships at the Institute for Advanced Study and the Newton Institute. He has been invited to speak at the International Congress of Mathematicians and awarded research grants from bodies such as the Engineering and Physical Sciences Research Council, the European Research Council, and the Simons Foundation. His contributions have been cited in awards and prizes alongside scholars like Sergiu Klainerman, Demetrios Christodoulou, Terence Tao, Grigori Perelman, and Andrew Wiles.
- "The red-shift effect and radiation decay on black hole spacetimes", with implications for analysis on Schwarzschild metric and Kerr metric, published in leading mathematical physics journals; complements work by Dafermos–Rodnianski and Christodoulou–Klainerman. - Monograph on nonlinear stability problems for the Einstein field equations and global dynamics of scalar fields, integrating techniques from Hörmander, Lax–Phillips, and Strauss. - Papers on the interior structure of charged black holes addressing the strong cosmic censorship conjecture in the context of Reissner–Nordström models; related to conjectures by Roger Penrose and analyses by Robert Wald. - Research articles on decay rates (Price's law) for waves on black hole spacetimes, extending approaches of Price (astrophysicist) heuristics and rigorous proofs by Blue (physicist), Dafermos–Rodnianski, and Tataru.
Dafermos has supervised doctoral students who went on to positions at institutions such as Princeton University, Harvard University, Stanford University, Columbia University, University of Chicago, and University of California, Berkeley. He has taught graduate courses on partial differential equation methods, mathematical relativity, and geometric analysis at the University of Cambridge and Princeton University, and has been involved in summer schools at the CIMPA, the ICTP, and the Newton Institute.
Category:Mathematicians Category:Mathematical relativity Category:Partial differential equations