Justin Curry (@currying) / X

Justin Curry

1,580 posts

Justin Curry

@currying

Associate Professor of Math & Statistics at UAlbany-SUNY

Albany, New York, USA

Joined November 2009

Pinned
Justin Curry
@currying
Apr 7
Achievement Unlocked: Two papers posted to the arXiv on the same day! Let me tell you about them. Stratifying Reinforcement Learning with Signal Temporal Logic illustrates how stratified spaces arise in transformer models for RL games. See this beautiful combo of software by
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Justin Curry
@currying
Nov 10, 2024
Around ten years ago, I started studying inverse problems in Topological Data Analysis (TDA). For decades people in computational geometry have used tools like Reeb graphs and persistent homology to summarize shape in data, but how lossy is this process? A thread... 1/n
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Justin Curry
@currying
May 16, 2024
Finally published! @tessel8it @sayanmukher A Sheaf Theoretic Construction of Shape Space
A Sheaf-Theoretic Construction of Shape Space
From link.springer.com
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Justin Curry
@currying
Mar 3, 2021
This is a big deal:
arxiv.org
Arnold Conjecture and Morava K-theory
We prove that the rank of the cohomology of a closed symplectic manifold with coefficients in a field of characteristic $p$ is smaller than the number of periodic orbits of any non-degenerate...
Justin Curry
@currying
Nov 10, 2024
Replying to @currying
In collaboration with Ryan Gelnett and Matt Zaremsky, and with help from many others, we have computed pi_1 of (each connected component of) the configuration space of circles, outlining future directions for both pure and applied research. Enjoy! 10/n=10 arxiv.org/abs/2411.04800
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Justin Curry
@currying
Jun 27, 2023
The perfect illustration of the sheaf Laplacian doesn’t exi…. @prof_g @hansmriess (courtesy of Michael Moy at NASA Glenn Research Center)
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Justin Curry
@currying
Apr 16, 2024
New category theory/ML startup Symbolica is hiring 6 positions in the UK and Australia. See linked John Baez post. I like that Baez’s main concern is about what happens if ACT-based technology actually works. Attn: @_julesh_ et al golem.ph.utexas.edu/category/2024/…
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Justin Curry
@currying
Nov 16, 2023
Two papers that came out this week, which I’m excited to read in more detail: “Random Surfaces and Higher Algebra” by Darrick Lee, Harald Oberhauser. arxiv.org/abs/2311.08366
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Justin Curry
@currying
Nov 10, 2024
Replying to @currying
Surprisingly, there was not much work in this direction. In 2015 a group based out of Japan did some awesome theoretical and computational work showing how to use persistence diagrams to "steer" configurations of point clouds using persistence diagrams. 2/n
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Justin Curry
@currying
Jul 15, 2024
Looks like an awesome book @s_scardapane ! arxiv.org/abs/2404.17625
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Justin Curry
@currying
Feb 22, 2022
I meant to tweet this a few weeks back, but life is busy and I wanted to make a little thread out of this. One morning, I woke up and found this in my daily arXiv digest, a wonderful new paper by the eminent @mmbronstein and coauthors: arxiv.org/abs/2202.04579 1/13
Justin Curry
@currying
Dec 6, 2022
Lovely purple and gold skies over @ualbany last night after the last day of classes
Justin Curry
@currying
Nov 10, 2024
Replying to @currying
I was interested in something more basic because TDA produces invariants of basic objects, like functions and time series. How much can you tell about a function just by using the barcode? The problem seemed intractable because topology is invariant under a lot of operations. 3/n
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Justin Curry
@currying
Jan 15, 2024
First day of (sabbatical) school off to a strong start as @mmbronstein gave a very compelling vision of symmetry as an organizing principle for ML. Luckily two (of the five) books I brought with me overseas are highly relevant!
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