Current Research and Scholarly Interests
Starting fall of 2021, I will be taking an extended sabbatical/leave. Much of my effort during this period will be spent developing my skills in rapidly developing areas like machine learning, with a view towards the science emerging from analysis of large datasets.
My recent research has involved three directions:
— Mathematical aspects of string theory, with a focus on interplay between BPS state counts, physics of black holes, geometry, and number theory.
— Quantum field theory and condensed matter physics, with a particular interest in the emergence of non-Fermi liquid states of matter and of fracton phases.
— Theoretical biology, with a focus on evolution and ecology. This is a new initiative for me. My first paper in this area appeared on bioRxiv in 2019, and I have started accepting students with a primary interest in this area.
I typically work with a small number of graduate students and SITP postdocs. I’ve also taken undergraduate researchers for summer or thesis projects. My students have gone on to various interesting places after leaving Stanford.
Present and former Graduate Advisees:
Anita Kulkarni (current student)
Brandon Rayhaun (current student)
Milind Shyani (PhD, 2021, now at Amazon working on ML)
Richard Nally (now a Klarman Fellow at Cornell)
Xinghe Li (M.A., 2021)
Max Zimet (now a Fellow in the Black Hole Initiative at Harvard)
Nathan Benjamin (to Princeton PCTS; now at Caltech)
Natalie Paquette (to Caltech postdoc, now a faculty member at UW - Seattle)
Dan Whalen (now at Renaissance Technologies)
Huajia Wang (to Illinois postdoc, faculty at Kavli Institute for Theoretical Sciences, Beijing)
Sarah Harrison (to Harvard postdoc, joint math/physics faculty at McGill)
Dusan Simic (to KITP postdoc)
Mike Mulligan (to MIT postdoc, now faculty at UC Riverside)
Wu-yen Chuang (to Rutgers postdoc, now mathematics faculty at National Taiwan University)
Alexander Giryavets (now Vice-President at Morgan Stanley)
Xiao Liu (to Perimeter Institute postdoc, now faculty at UESTC)
Liam McAllister (to Princeton postdoc, now Cornell faculty)
John McGreevy (to Princeton postdoc, now UCSD faculty)
Michael Schulz (to Caltech postdoc, now Bryn Mawr faculty)
Present and former undergraduate research students:
Anna Biggs (Harvard undergrad), summer 2019 (to graduate school at Princeton)
Inigo Lombera, summer 2019
Jordi Montana-Lopez, summer 2019
Sandra Nair (UCSC undergrad), summer 2019 (to math graduate school, Michigan)
Sandip Roy, 2019-20 (to graduate school at Princeton)
Lark Wang, 2019-20 (to graduate school at UC Berkeley)
George Hulsey, 2018-19 (to graduate school at UCSB)
Sungyeon Yang, 2018-19 (now in graduate school at Stanford)
Newton Cheng, 2017-18 (to graduate school at UC Berkeley)
Tudor Ciobanu, 2017-18 (to graduate school at Stony Brook)
Ethan Sussman, 2016-18 (to graduate school in mathematics at MIT)
Preethi Pallegar, 2015-16 (to graduate school at Princeton)
Marc Robbins, 2015 (to graduate school at Illinois)
Zhiming Wang, 2015 (to graduate school at Princeton)
Temple He, 2009-10 (to graduate school at Harvard)
Daniel Balick, 2005-06 (UCSB PhD in theoretical biology, now at Harvard)
Christopher Beem, 2005-06 (Berkeley PhD in string theory, now faculty at Oxford)
Dan Wohns, 2005-06 (Cornell PhD in string theory, now at Perimeter)