Computational biology, machine learning, software engineering, genetics; statistics education; topology and geometry via Morse, Floer, and Khovanov homology.
Models, Inference & Algorithms Initiative. Bridging math and bio, MIT math folks are most welcome!
Hail, an Open-Source Framework for Scalable Genomic Analysis. Helping researchers leverage (lots of) genomes to learn about biology and disease. Under active development and powering a bunch of science.
18.05: Introduction to Probability and Statistics
OCW Educator Feature on Flipping the Classroom
The monopole category and invariants of bordered 3-manifolds (in preparation with John Baldwin)
We extend monopole Floer homology to the framework of 2+1+1 TQFT by constructing a finitely-generated A-infinity category C(S) for a surface S, a gauge-theoretic analogue of the Fukaya category of Sym^g(S).The combinatorics of Morse theory with boundary
Proceedings of 19th Gokova Geometry-Topology Conference (2013), p44-88.A link surgery spectral sequence in monopole Floer homology
Advances in Mathematics, Volume 226 (2011), Issue 4, p3216–3281.Odd Khovanov homology is mutation invariant
Mathematical Research Letters 17 (2010), no. 1, p1-10.Monopole Floer Homology, Link Surgery, and Odd Khovanov Homology
DissertationKnots and Dynamics, undergraduate seminar
Knots for Novices, public workshop
Law and Order: SVU, murderous blackboards