Assistant Professor

Martin Fisher School of Physics

Brandeis University

Office: Abelson 310

Office phone: 781-736-2858

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

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. I am currently focused 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 grant.

During the fall semester, I will be teaching Physics 31b: Quantum Theory II and Physics 162a: Quantum Mechanics I. If you are an undergraduate and considering taking one of those courses, please see this note.

More about me:

- my C.V. (including a list of my publications)
- an Academic Statement, describing my research, teaching, and service
- my Brandeis Physics Department page

A few of my recent papers:

- 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] - M. Headrick, A. Lawrence, and M.M. Roberts,
*Bose-Fermi duality and entanglement entropies*, arXiv:1209.2428 [hep-th] - R. Callan, J. He, and M. Headrick,
*Strong subadditivity and the covariant holographic entanglement entropy formula*, arXiv:1204.2309 [hep-th]

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

*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