I've recently started a blog, An Overtwisted Life. It will be populated with more math (and physics) in the coming months!
For a summer in 2017, I ran the Electric Handle Slide, a blog for graduate students to write about low-dimensional topology, Floer theory, symplectic geometry, and related fields. I found that previous posts from 2012-2014 were extremely helpful. I wrote a few blog posts following the Kylerec Workshop in 2017 on symplectic fillings. Now that I'm a postdoc, I am interested in handing off the torch. If you are a graduate student interested in taking over the blog, do let me know!
I have given two talks to the Stony Brook Math Club, consisting primarily of undergraduate mathematics majors. They were both recorded.
October 2019: Cutting Polyhedra with Scissors (on Hilbert's Third Problem and the Dehn invariant)
September 2020: The Rationality of Irrationals (on quantifying how irrational a number can be)
In Fall 2019, I participated in the Postdoc Spotlight, in which a number of Postdocs across a variety of disciplines attempt to explain their research to a public audience in only 5 minutes. (Video)
The following is a list of seminars which are hosted on this website. It is not a complete list of seminars I have (co-)organized (see my full CV).
In the 2019-2020 academic year, until COVID, I co-organized the Topology and Symplectic Geometry Seminar at Stony Brook. You can find a list of speakers and abstracts at the linked website.
I co-organized a seminar over Summer 2017 on microlocal analysis from the Kashiwara-Schapira perspective with an eye towards symplectic geometry.
At various seminars, I have given a number of expository talks at seminars and workshops, including but not limited to my year of using OneNote. I have notes for most of these talks, and will eventually post a relatively comprehensive list. (Notes for most talks listed on my CV are available by request.)
Here is a set of notes about Floer Homotopy Theory, in progress.
I used to take very thorough notes in all courses, seminars, and conferences I attended. In December 2015, I bought a new laptop, and started using OneNote to take notes. Eventually, I decided taking such thorough notes was not optimal for my learning, so I stopped in 2017. Here is a list of notes I took during that time.
In Spring 2016, I took notes on Contact Homology, H-Principles, Instanton Seminar, as taught by Dan-Cristofaro Gardiner, Emmy Murphy, and led by Tomasz Mrowka, respectively. These notes were taken using OneNote, and they unfortunately take a while to load. (If you are looking for notes from courses I have taught, you can find more information in the teaching tab.)
Here are my seminar notes, as a OneNote notebook, starting from February 2016. This includes notes from the following seminars (webpages linked):
The MIT Geometry and Topology Seminar
The MIT Algebraic Topology Seminar (currently only one talk)
A Fall 2016 seminar on Derived Geometry and Floer Theory. The linked website contains all the notes and is easier to view than in the OneNote page.
The beginning of a Fall 2016 seminar on gauge theory. The notes I took cover Atiyah-Bott's Yang Mills Equations over Riemann Surfaces.
The Boston Graduate Topology Seminar (except for my own talk).
A Spring 2017 seminar I co-organized based on the paper Legendrian Knots and Constructible Sheaves by Shende-Treumann-Zaslow.
A Spring 2017 seminar on D-Modules I attended.
From March 2016-May 2017, I used OneNote to record some conference notes. This includes notes from the following conferences (webpages linked):
Topological and Quantitative Aspects of Symplectic Manifolds, for Dusa McDuff's 70th birthday, in March 2016, at Columbia University. I do not take notes during slide talks, so please see the website for those notes.
Analysis in the Large, in hono(u)r of Helmut Hofer, in June 2016, at ETH Zurich.
Symplectic Techniques in Hamiltonian Dynamics in June 2016 at ICMAT (Madrid).
Symplectic topology, sheaves, and mirror symmetry, a summer school in June-July 2016 at the IMJ-PRG (Paris). Alternative notes appear on the conference webpage.
Symplectic Field Theory VIII in August 2016 at Humboldt University. The website also has notes for everything except the research talks.
Floer homologies and topology of 4-manifolds in April 2017 at UMass Amherst.
Quantitative Symplectic Geometry in May 2017 at the Simons Center.
Kylerec 2017 in May 2017 near Lake Tahoe. There are also notes on the website, and I also wrote a number of blog posts at the Electric Handle Slide blog (starting here).