Notes/Seminars

Personal Blog

I've recently started a blog, An Overtwisted Life. It will be populated with more math (and physics) in the coming months!

Electric Handle Slide

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!

Math Club Talks

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)

Postdoc Spotlight

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.

Course Notes

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.)

Seminar Notes

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.

Conference Notes

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).