UPDATE: I have moved to University of Maryland, College Park, see below. My website has moved to here. *****I will no longer be updating this UCSC website and it will eventually stop being hosted by UCSC.*****
In case it is useful, I have kept the old website below:
Another update: I am now an editor of the Journal of Modern Dynamics.
Slides for some recent talks:
Closing lemma and Weyl law @ BACH: BACH talk
Note: hybrid (in-person) talk, these are just the slides. Colloquium @ Brown: simplicity conjecture + symplectic packings Brown University colloquium talk
Note: hybrid (in-person) talk, these are just the slides. Closing lemma @ Brown (slightly revised since talk) Closing lemma @ Brown
Subleading asymptootics @ Tel Aviv Subleading asymptotics of the ECH spectrum
PFH spectral invariants @ NCSGS PFH spectral invariants and applications
Simplicity Conjecture @ Pacific Rim Simplicity Conjecture
Obstructing Infinite Staircases @ Ellipsoid day! ellipsoid_day
Simplicity Conjecture @ PU/IAS/Montreal simplicity_conjecture
Welcome to my webpage! I am an assistant professor of mathematics at the University of California, Santa Cruz (Update: I have moved to University of Maryland, College Park.) (Go Slugs! Update: Go Terps!). During the ’19-21 academic years, I was a von Neumann fellow at the Institute for Advanced Study.
I study contact and symplectic geometry, and their relationships with low-dimensional topology and dynamics. Please have a look at the research and teaching sections of this webpage if you would like to learn more about my work. I also have some videos and slides available from talks that I’ve given. Here (last updated 8/19; for more up to date research, see my research page) is a copy of my CV.
Before coming to UCSC, I was a Benjamin Peirce and National Science Foundation fellow at Harvard University. Before that, I was a member at the Institute for Advanced Study. I hold a PhD from UC Berkeley, and a BA in Mathematics from Harvard. I grew up in tiny Rhode Island, which is about the size of Yosemite National Park. I’ve loved music for about as long as I can remember, and I still play piano when I can.
My research is supported by the National Science Foundation, under agreement DMS-1711976. I also thank the NSF for prior support under DMS-1402200.