Professor

Martin Fisher School of Physics

Brandeis University

E-mail: `mph(at)brandeis.edu`

My Brandeis Physics Department page

My Brandeis University page

Office: Abelson 323

I am a member of the Brandeis Quantum and Gravitational Theory Group. My research spans a variety of areas of theoretical and mathematical physics, including string theory, quantum field theory, quantum gravity, general relativity, holography, geometry, quantum information theory, statistical mechanics, and convex optimization. Recently, the main focus of my work has been on the use of concepts and tools from quantum information theory, such as entanglement entropies, to better understand field theories, gravitational theories, and holographic dualities connecting them.

My work is supported by grants from the U.S. Department of Energy.

We are always looking for talented graduate students to join our group. If you are interested, please apply to our Ph.D. program. (I read applications only through the university's admissions process; please do not send your CV or other application materials directly to me.)

I also serve as Graduate Advising Head and Director of Graduate Studies for the Physics Department.

More about me and my work:

Slides & videos from talks I've given recently:

*Covariant Properties of Holographic Entanglement*(Workshop on Bridges Between Holographic Quantum Information and Quantum Gravity, Isaac Newton Institute, Cambridge University & Jefferson Theory Seminar, Harvard University, 2023): slides, video*Black Holes, Quantum Entanglement, and the Geometry of Spacetime*(Northeastern University Physics Colloquium, 2023): slides*Numerical Solution of Systolic Minimal-Area Problems*(Workshop on Computational Differential Geometry and its Applications in Physics, Simons Center for Geometry and Physics, 2022): slides, video*Entanglement and the Geometry of Spacetime*(blackboard talk, KITP High School Teachers' Conference on Spacetime, Holography, and Entanglement, 2020): video

Also perhaps of interest:

- Lecture notes from PHYS 164, a tutorial for first-year graduate students, covering scaling, dimensional analysis, and rough physical reasoning.
- A popular-level article about holographic entanglement entropy I wrote for the newsletter of the International Centre for Theoretical Sciences, Bangalore (turn to page 4)
- A 5-minute podcast on the holographic principle
- My page of useful
*Mathematica*packages -- including a new (as of January 2023) version of diffgeo.m that handles parametrized hypersurfaces! - A compendium of useful formulas, mostly lifted from various textbooks such as Wald's
*General Relativity*and Polchinski's*String Theory*, together with a few of my own shallow insights