Associate Professor

Martin Fisher School of Physics

Brandeis University

Office: Abelson 310

Office phone: 781-736-2858

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

Office hours (spring 2016): Thursday 11-12

I am a member of the Brandeis High-Energy 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, geometry, quantum information theory, and statistical mechanics. Recently, my main focus 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 a National Science Foundation CAREER award, by a grant from the Department of Energy, and by *It from Qubit: Simons Collaboration on Quantum Fields, Gravity, and Information*, a multi-institution grant from the Simons Foundation of which I serve as Deputy Director.

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.)

During Spring 2016, I am teaching Physics 162b: Quantum Mechanics II. This year I am also a Davis Teaching and Learning Fellow. In Fall 2017, I will be teaching Physics 202: Quantum Field Theory. (This course is tentatively scheduled for MW 3:30-4:50. Please let me know if you are interested in taking it but have a conflict at that time.)

More about me and my work:

- My C.V. (including a list of my publications)
- A two-page description of my recent research
- My Brandeis Physics Department page
- A ReAction blog post about my work

Some of my recent papers:

- M. Freedman and M. Headrick,
*Bit threads and holographic entanglement*, arXiv:1604.00634 [hep-th] - M. Headrick, A. Maloney, E. Perlmutter, and I.G. Zadeh,
*Renyi entropies, the analytic bootstrap, and 3D quantum gravity at higher genus*, arXiv:1503.07111 [hep-th] - M. Headrick, V.E. Hubeny, A. Lawrence, and M. Rangamani,
*Causality and holographic entanglement entropy*, arXiv:1408.6300 [hep-th] - M. Headrick, R.C. Myers, and J. Wien,
*Holographic holes and differential entropy*, arXiv:1408.4770 [hep-th] - M. Headrick,
*General properties of holographic entanglement entropy*, arXiv:1312.6717 [hep-th] - C.A. Agon, M. Headrick, D.L. Jafferis, and S. Kasko,
*Disk entanglement entropy for a Maxwell field*, arXiv:1310.4886 [hep-th]

Slides and video from some talks I've given over the years:

*Quantum entanglement and the geometry of spacetime*(colloquium, 2016): slides, video*A new perspective on holographic entanglement*(seminar, 2015): slides, video, another video*Entanglement entropy, quantum field theory, and holography*(overview talk, 2014): slides*Causality, holography, and entanglement entropy*(seminar, 2014): video*Entanglement entropy*(overview talk, 2014): slides, video*What can entanglement entropy teach us about general relativity?*(seminar, 2013): slides, video*Are quantum field theories characterized by their entanglement entropies?*(seminar, 2013): slides*Properties of entropy in holographic theories*(seminar, 2013): slides*Quantum information and entanglement in holographic theories*(seminar, 2012): slides*What we talk about when we talk about holographic entanglement entropy*(seminar, 2012): video*Holography and entanglement*(10-minute colloquium, 2010): slides*Gravity, entropy, and entanglement*(colloquium, 2010): slides*Calabi-Yau Metrics for dummies*(seminar, 2010): slides*Tachyon actions in string theory*(seminar, 2009): video*Hedgehog black holes and the deconfinement transition*(seminar, 2008): slides*The uses of Ricci flow*(seminar, 2007): slides*Scale transformations and the dynamics of string theory*(colloquium, 2007): slides

Also perhaps of interest:

- my page of useful
*Mathematica*packages - 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 - a brief semi-popular introduction to tachyons in modern physics