# Videos and slides

Several of my talks are available online. Here are some:

The Simplicity Conjecture is a talk I gave about my joint work resolving the longstanding Simplicity Conjecture. (See also this very nice article.)

PFH spectral invariants and the large-scale geometry of Hofer's metric is a talk I gave about my joint work resolving the Kapovich-Polterovich question.

The Quasimorphism Question is a talk I gave about our joint work resolving the "Quasimorphism question".

Obstructing infinite staircases is a talk about our joint work about the ``staircase obstruction".

“An introduction to embedded contact homology” is an expository talk which could be of interest to researchers wanting to know more about embedded contact homology.

“Volume in Seiberg-Witten theory and the existence of two Reeb orbits”

is a talk on my joint work about volume in Seiberg-Witten theory and the existence of two Reeb orbits.

“Symplectic embeddings from concave toric domains into convex ones” is a talk I gave on my work on symplectic embeddings of toric domains.

“Symplectic embeddings of products” is a talk on my joint work on higher dimensional symplectic embedding problems.

“From symplectic geometry to combinatorics and back” is a talk on an irrational version of Ehrhart theory that naturally arises in symplectic embedding problems

“From one Reeb orbit to two” is a short talk I gave about some problems in three-dimensional Reeb dynamics.

“Two or infinity” is a talk I gave about my work showing that in many cases there are either two or infinitely many Reeb orbits on closed three-manifolds.

Here are some slides from powerpoint presentations that I’ve given (many of these are for the talks above):

Closing lemma and Weyl law @ BACH: BACH talk

Note: hybrid (in-person) talk, these are just the slides. Colloquium @ Brown: simplicity conjecture + symplectic packings Brown University colloquium talk

Note: hybrid (in-person) talk, these are just the slides. Closing lemma @ Brown (slightly revised since talk) Closing lemma @ Brown

Subleading asymptootics @ Tel Aviv Subleading asymptotics of the ECH spectrum

PFH spectral invariants @ NCSGS PFH spectral invariants and applications

Simplicity Conjecture @ Pacific Rim Simplicity Conjecture

Obstructing Infinite Staircases @ Ellipsoid day! ellipsoid_day

Simplicity Conjecture @ PU/IAS/Montreal simplicity_conjecture

“Symplectic embeddings of concave toric domains into convex ones”

“Reeb dynamics in dimension 3”

“What can symplectic geometry tell us about Hamiltonian dynamics?”

“Counting lattice points in triangles and the “Fibonacci staircase”” (For a talk at an undergraduate seminar)