Mihalis Dafermos

Mihalis Dafermos is the Lowndean Professor of Astronomy and Geometry at the Department of Pure Mathematics and Mathematical Statistics (DPMMS) within the Faculty of Mathematics at the University of Cambridge. He is a leading researcher in mathematical general relativity and partial differential equations, with particular expertise in black hole physics.

His research expertise spans:

• Partial Differential Equations
• General Relativity
• Black Hole Stability and Dynamics
• Mathematical Analysis of Spacetime Singularities
• Wave Equations on Curved Spacetimes
• Cosmic Censorship Conjectures

Dafermos's publications reveal a systematic progression from foundational work on Schwarzschild and Reissner-Nordström black holes to sophisticated analyses of Kerr black holes across various parameter regimes. His research consistently focuses on mathematical rigor in addressing fundamental questions about black hole stability, interior structure, and the behavior of fields in strong gravitational environments. A significant portion of his work investigates the Cauchy horizon stability, blue-shift instabilities, and cosmic censorship, contributing substantially to the mathematical foundations of general relativity.

He is an active member of the Relativity and Gravitation research group at Cambridge, collaborating with prominent researchers including Igor Rodnianski, Georgios Holzegel, and others. His work has been published in the most prestigious mathematical physics journals including Acta Mathematica, Annals of Mathematics, and Communications in Mathematical Physics.