Vidit Nanda

We are launching a brand new journal. Please say hello to Applied & Computational Topology & Geometry (Link and more info below). Thanks to generous support from the @AMathRes, ACTG will be diamond open access --- completely free for both authors and readers!

@star_stufff @Trojanhorse1225 It is a typo, except the second (CX,*) should be (CY,*). Devastating to have this in the introduction, tbh.

@Trojanhorse1225 @viditnanda Same

From the journal of algebraic tautology

@prof_g @dailypenn Ahead of slythe... uh, wharton???

breaking news from @dailypenn : engineers rule ;-)

This is a strange take. Replacing mathematicians doesn't seem like the highest order bit. That mathematicians have put in the effort to create the assessment answers the most important question: AI is good at math and getting better. Dismiss this at your peril.

@littmath "Of course that's your contention. You're a finance bro podcaster. You just wrote some crank stuff relating yang mills to fermions and so naturally that's what you believe until next month when you get to fulton and get convinced that the higgs mass is an intersection product"

It’s true. Look up Elliptic Curves. Read Silverman’s “The Arithmetic of Elliptic Curves.” Do all the exercises. Read Katz-Mazur’s “Arithmetic Moduli of Elliptic Curves.” Study it closely. Only then will you understand.

Dad goals 🤝 Research goals

@currying I'm a simple man. I see "lie algebra" in a TDA paper, I hit like. Beautiful paper!

Latest paper solves the simplest TDA inverse problem of all: How many different barcodes have the same Betti curve? Turns out that the Kostant Partition Function measures this exactly and one can view every barcode as a juggling sequence! 🤹 arxiv.org/abs/2602.09011

The best part about working on 'computing diffusion geometry' was understanding *visually* what calculus/geometry is and how it works. e.g. how does the Hodge Laplacian "see" topology? [1/5]

I'm so happy to finally share this work - Computing Diffusion Geometry We present a simple, data-driven method for the *whole* toolkit of Riemannian geometry, PDEs, and vector calculus!

@duhfish_ en.wikipedia.org/wiki/Segal's_c…

@viditnanda Burnside conjecture is still open

Oh no wtf

@NicholasScovil4 @mathATb Thanks!

@mathATb Amazing! Congrats to the authors!

Nanda, Tombari: Stratified Morse Theory for Cell Complexes arxiv.org/abs/2601.18343 arxiv.org/pdf/2601.18343 arxiv.org/html/2601.18343

Waiting for the referees to jump on "Nevertheless, we will persist".

My paper classifying the homotopy type of the configuration space of *round* circles in the plane has been published! rdcu.be/e00Ov Many thanks to my coauthors, Ryan Gelnett and Matt Zaremsky, our speedy handling editor at JHRS, Chuck Weibel, and a very speedy and thoughtful anonymous reviewer! 1/2

@currying 🙏🙏🙏

“One might as well compare a volcano to a butterfly.” Beautiful work, as always, @viditnanda and Francesca Tombari! arxiv.org/abs/2601.18343

@currying Coming tomorrow to Arxiv (hopefully)!

I see the talk, but not the paper! mis.mpg.de/events/event/s…

"Come like shadows; so depart"

everybody ♥️ the klein bottle... but have you seen the klein ladder? this is a visual paradox where you move around (magenta = climb ; teal = no height change) on a klein bottle: identify top & bottom, then left & right with a reflection. (secretly a nonabelian torsor...)