Software:

• Braid variety cluster structures tutorial (html) | Sage code (zip)
  Sage code for computing double braid variety quivers based on our papers arXiv:2210.04778 and arXiv:2301.07268 with Thomas Lam, Melissa Sherman-Bennett, and David Speyer

• R-systems
  Sage code for computing the values of the R-system introduced in our paper R-systems with Pavlo Pylyavskyy

• Plabic tilings
  A javascript implementation of the algorithm from the paper
  Weak separation and plabic graphs by Suho Oh, Alexander Postnikov, and David Speyer

Thesis: Totally positive spaces: topology and applications pdf (203 pages). MIT, June 2019.

Research statement (2018): pdf (4 pages)

FPSAC abstracts:

Here you can find extended abstracts to some of my papers, presented at FPSAC by me or my coauthors.

• Critical varieties in the Grassmannian
  A talk given by me at FPSAC 2021 | extended abstract (12 pages) | slides | video (25min)

• Positroids, knots, and q,t-Catalan numbers
  An talk given by Thomas Lam at FPSAC 2021 | extended abstract (12 pages) | slides | video (25min)

• Regularity theorem for totally nonnegative flag varieties
  A talk given by Steven Karp at FPSAC 2020 | slides | video (25min) | extended abstract (12 pages)

• Plabic graphs and zonotopal tilings
  A talk given by me at FPSAC 2018 | slides (25min) | extended abstract (12 pages)

• The totally nonnegative Grassmannian is a ball
  A talk given by Steven Karp at FPSAC 2018 | slides (25min) | extended abstract (12 pages)

• Root system chip-firing
  A talk given by Sam Hopkins at FPSAC 2018 | extended abstract (12 pages)

• Zamolodchikov periodicity and integrability
  An extended abstract prepared for FPSAC 2017 | extended abstract (12 pages)

• Refined dual stable Grothendieck polynomials and generalized Bender-Knuth involutions
  A talk given by Gaku Liu at FPSAC 2016 | slides (25min) | extended abstract (12 pages)

• Weak separation, pure domains and cluster distance
  A poster presented by me at FPSAC 2016 | pdf (poster) | extended abstract (12 pages)

Personal:

I am married to Valya. Here is a picture of her with a cow.

Apart from mathematics, I am mostly interested in sports and music. I play soccer, guitar, and a little piano and violin.