I’m a data scientist and former mathematician with pretty broad interests. I
like learning about and creating new things. Sometimes I even write things down.
Recently I’ve been interested in political economy, the climate, and the
Japanese language. I’m also starting to learn a bit about low-tech, emacs,
and C.
You can get in touch with me via email here, and you can find the code for this
site on GitHub.
Below are some math notes that might be of interest:
My Ph.D. thesis in mathematical physics, written under the guidance of Ezra
Getzler, concerns a new construction of the Batalin-Vilkovisky (BV) Laplacian
using the methods of homological perturbation theory. Here are the slides from
my thesis defense. (August 3, 2021)
A talk outlining Bott’s computation of differential forms on the classifying
space of a compact Lie group G. I briefly describe how to view this
computation as a concrete construction of a shifted symplectic structure (a la
Pantev-Toen-Vaquie-Vezzosi) on the classifying stack BG represented by a
simplicial manifold. I recommend Ezra Getzler’s exposition on simplicial
manifolds as a general reference. (May 2019)
Rough notes on lectures given by various speakers on derived geometry at the Fields
Institute. (Summer 2018)
Very unfinished notes on differential cohomology and gerbes in which I tried
to keep things concrete and computational. Obviously, graduate students must
be utterly perfect and never make mistakes, but I’m making these notes
available because I’ve had multiple students ask me about where to find them.
(January 2018)
Rough notes on Mihnea Popa’s course on complex geometry. (Winter/Spring 2018)
Lightning talk on the Atiyah-Singer index theorem. (September 22, 2017)
Rough notes from John Francis’ course on factorization homology. For a very
high-level summary of main results, see these notes. (Fall 2017)
Notes for a talk on Chern-Weil theory in John Francis’ Milnor seminar. (April
10, 2017)
An informal reading group on WKB methods led to this talk on Witten’s de Rham
approach to Morse theory, and Fukaya’s reinterpretation in terms of
A-infinity categories. (March 22, 2017)
I gave a talk on the symplectic geometry behind classical mechanics (with an
eye towards moment maps and Noether’s theorem) for a seminar on the BV
formalism, run by Sean Pohorence. (January 10, 2017)
In one of the many Kan seminars run by John Francis, I gave a talk sketching
Bousfield’s construction of the localization of spaces with respect to
homology equivalences. I seem to have avoided discussing all the hard parts of
the construction. I’m not the sharpest tool in the shed. (November 30, 2016)
For a seminar on Reshetikin-Turaev invariants, led by Theo Johnson-Freyd, I
gave a talk on the geometric quantization of Chern-Simons theory (according to
Axelrod, della Pietra, and Witten). (January 13, 2016)
I spent a bit of time learning about the basics of symplectic geometry as a
first-year graduate student under Eric Zaslow’s patient eye and I took some
notes in the process. (December 11, 2015)
