I study the mathematical foundations of machine learning algorithms, particularly those involving neural networks.
In a former life, I studied the interactions between Heegaard Floer homology and Khovanov homology, and applications of both theories to questions about braids, Dehn surgery, and concordance. I still like hearing about what's new in low-dimensional topology and knot theory, but I'm not as up on recent developments as I once was.
In my early days of learning about learning, I blogged about it. You can find that blog here.
I organized a mini-workshop on Mathematics & Machine Learning during Fall 2018.
I co-organized the 2016 Hamilton Geometry and Topology Workshop, (August 22-26, 2016), partially supported by my NSF CAREER grant.
I co-organized this topical ICERM workshop (August 4-8, 2014), partially supported by my NSF CAREER grant. See videos of some of the (excellent) talks here! (Under "Programs and Workshops 2014/Summer 2014")
teaching + mentorship
Here is the website for MT855: Surfaces, braids, and homology-type invariants, Spring 2016.
Here is the website for a graduate reading seminar on the Schoenflies conjecture and generalized property R, co-organized with John Baldwin, Peter Feller, and Josh Greene during spring 2015.
Here is the website for MT831: Algebraic topology and low-dimensional topology, Fall 2014.
Here is the website for MT855: Applications of homology-type invariants in low-dimensional topology, Spring 2014.
Here is the syllabus for MT808: Graduate Algebraic Topology, Fall 2011.
Here is the syllabus for the undergraduate knot theory course I taught at Columbia, Fall 2008.
I co-led a 10-week research program for undergraduates with Jason Behrstock at Columbia University in the Summer of 2008.
Some of the students' final papers:
So Eun Park, The group of symmetries of the Tower of Hanoi graph, to appear in the American Mathematical Monthly.
Michael Rand, On the Frame-Stewart Algorithm for the Tower of Hanoi
Ian Spafford, Tower of Hanoi research project
odds + evens
I used to blog about the dangers of parenting while mathing. Nobody has time to read--let alone, compose--long blog posts anymore, so I stopped.
I am on the board of directors of Girls' Angle, a Cambridge, MA math club for girls that was founded by my undergraduate thesis advisor (and one of my first and most important mentors), Ken Fan.
KEXP is a Seattle-based radio station that everyone should know about.
Boston College Department of Mathematics
5th floor, Maloney
Chestnut Hill, MA 02467-3806
office: 522 Maloney
email: grigsbyjjjjjjjj(at)bc(dot)edu (Ummm...no. Delete all but one of the j's and replace "at" and "dot" with their symbols. IMPORTANT: If you accidentally delete ALL the j's, your e-mail will accidentally go to someone that isn't me.)