Vidit Nanda @viditnanda Twitter profile | Pikagi

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Vidit Nanda

@viditnanda

6,346

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812

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prof @oxunimaths & fellow @pembrokeoxford .

Oxford, England

https://t.co/exX7PeEXBU

Joined July 2015

Don't wanna be here? Send us removal request.

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@viditnanda

Vidit Nanda

4 months

I've been asked to serve as a founding (co)editor-in-chief of a new mathematics journal. There is some freedom in setting journal policy, etc. What are some things that you want to see when it comes to dealing with journals? What do you hate about the process? Share widely!

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@viditnanda

Vidit Nanda

3 years

If this tweet gets > 500 ♥️s, I will compile the entire set of Computational Algebraic Topology lecture notes (8 Chapters, 106 pages) into a single hyperref-ed PDF and share the link here. Pass it along.

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@viditnanda

Vidit Nanda

3 years

I am teaching an 8-week course at Oxford on the fundamentals of topological data analysis (including persistent homology, cellular sheaves, & discrete Morse theory). All Notes: All Videos: Course thread! (0/8)

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@viditnanda

Vidit Nanda

15 days

"This talk is applied applied topology --- I will be applying applied topology to topology." - Shmuel Weinberger, today.

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Vidit Nanda

7 months

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@viditnanda

Vidit Nanda

3 years

In lieu of my soundcloud, here's the promised pdf containing all the lecture notes for the Computational Algebraic Topology course: Curious about topological data analysis, persistent homology, cellular sheaves or discrete Morse theory? Check them out!

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@viditnanda

Vidit Nanda

3 years

If this tweet gets > 500 ♥️s, I will compile the entire set of Computational Algebraic Topology lecture notes (8 Chapters, 106 pages) into a single hyperref-ed PDF and share the link here. Pass it along.

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@viditnanda

Vidit Nanda

5 months

Inside you are 2' wolves

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@viditnanda

Vidit Nanda

1 year

Topological Data Analysis as you've never seen it before: @robertghrist is bringing my lecture notes () to life in a new animated video series ()! Here are the videos which have been released so far... enjoy! And tell your friends.

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Foundations of Topological Data Analysis

This series covers the basics of algebraic topology in the context of applications to data. Authored by Robert Ghrist and Vidit Nanda, this animated series i...

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@viditnanda

Vidit Nanda

2 years

I've made an offer to buy the Annals of Mathematics for $44 billion. Your papers will be published if and only if you pay 8 bucks a month.

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@viditnanda

Vidit Nanda

2 years

You: just starting to feel safe in the privacy of your own home… Mathematics:

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@viditnanda

Vidit Nanda

5 years

New hobby: tricking data scientists into learning representation theory by calling it grp2vec

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@viditnanda

Vidit Nanda

7 months

Last week, I co-organised a workshop at the lovely @NewtonInstitute in Cambridge. We tried to do a few things differently; some of these worked well, others didn't. Here are two principles that worked well. 1/6

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Vidit Nanda

1 year

Say what now? 🍻 @robertghrist

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@viditnanda

Vidit Nanda

4 years

Like many of you, I've recently had to make my peace with asynchronous lectures. This term, I'm teaching Computational Algebraic Topology @OxUniMaths --- this course covers the foundations of topological data analysis and is meant for senior undergraduates. (1/4)

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Vidit Nanda

4 years

Normalize "Conflicts of Interest" statements in Mathematics Papers :p

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Vidit Nanda

8 days

̷A̷s̷s̷o̷c̷i̷a̷t̷e̷ Professor of Mathematics

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@viditnanda

Vidit Nanda

2 years

Annual reminder that I am teaching this topological data analysis course again this term @OxUniMaths , and *all of the materials are already online* so you can follow along at your pace :)

@viditnanda

Vidit Nanda

3 years

I am teaching an 8-week course at Oxford on the fundamentals of topological data analysis (including persistent homology, cellular sheaves, & discrete Morse theory). All Notes: All Videos: Course thread! (0/8)

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@viditnanda

Vidit Nanda

3 years

Just found out that the entire plot of The Matrix 5: Rotations has been leaked online --- [ cos t -sin t ] [ sin t cos t ]

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Vidit Nanda

2 years

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Vidit Nanda

3 years

Outstanding bit of notation that I've just seen in a graduate student's thesis writeup: B_r(x) for open ball of radius r around x, and B_r[x] for closed ball. Don't know if he got it from somewhere, but I'm kicking myself for not thinking of this for my own papers...

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@viditnanda

Vidit Nanda

4 years

The best harmonic sequence on the planet: a thread (1/n)

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Vidit Nanda

4 years

I can't remember where I read this: "doing mathematics is like climbing a cliff that is vertical in front of you and horizontal behind you" 🙄

@csaez_math

Carles Sáez

4 years

The two stages of math problem solving, or why math is so depressing: 1. This problem is so hard, I don't even know where to start. I must be stupid. 2. The solution was so obvious I can't believe I spent so much time without seeing it. I must be stupid.

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Vidit Nanda

1 year

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Vidit Nanda

11 months

My reaction whenever a paper introduces some m x n real matrix as A ∈ |R^{m x n}

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@viditnanda

Vidit Nanda

4 years

Happy to report that my lecture on entropy is more disorganized than it was last year.

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Vidit Nanda

3 years

I was getting worried about the new dirac-delta variant, but thankfully you can only catch it from yourself.

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Vidit Nanda

2 years

Many mathematicians, whether they confess it publicly or not, have a "Tombstone Theorem" --- the result you'd want on your tombstone if you were to pass away today. Here's mine. (0/8)

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@viditnanda

Vidit Nanda

5 years

Kashiwara-Schapira: making grown men scream into their pillows in despair since 1990.

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@viditnanda

Vidit Nanda

3 years

I'm fascinated by this amazing phase transition that occurs around year 2 or 3 of graduate school. All meetings before this magic moment involve me explaining things to my grad students, and all meetings after that involve them explaining things to me.

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@viditnanda

Vidit Nanda

3 years

Here are twelve pages on #PersistentHomology , which is the focus of Week 6 in the Computational Algebraic Topology course. I'm giving all my secrets away :) Course webpage if you want to see older notes to chase backreferences!

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@viditnanda

Vidit Nanda

1 year

Also: 1) You don't like the explanation you read 2) With much effort you figure out a clear explanation 3) It is basically identical to the original explanation you disliked, but somehow it makes sense to you now

@Singularitarian

Daniel O'Connor

@Singularitarian

1 year

How learning math works: 1) You don’t like the explanation you read. 2) With much effort you figure out a clear explanation. 3) The explanation you came up with is obvious to experts but nobody ever mentions it.

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Vidit Nanda

3 years

There are many good answers, but this one satisfies a universal property.

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@Variety

Variety

3 years

‘Unfilmable’ Books That Hollywood Should Try to Adapt After ‘Dune’

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@viditnanda

Vidit Nanda

4 years

ProTip: if you want to learn everything there is to know about derived categories, just draw this sigil on your mirror at midnight and chant “RHom Verdier” three times.

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Vidit Nanda

5 years

The first lecture of computational algebraic topology is almost ready. Needs more cowbell.

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Vidit Nanda

1 year

It's finally online!

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@viditnanda

Vidit Nanda

2 years

I usually avoid writing papers that either (1) have lots of co-authors, or (2) contain no genuinely new ideas, or (3) require me to read *many* of existing papers. This new paper violates all three rules... 1/7

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Vidit Nanda

2 years

Many years ago, I saw a much-beloved Mathoverflow question by @wtgowers on "Common False Beliefs in Mathematics": Last week I realized that I held a false belief. I don't know if it's common, but it is downright INFURIATING. (1/7)

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Vidit Nanda

4 years

Introducing 🔥GeoTorch🔥, my student Mario L Casado's cool new library for optimization on interesting Riemannian manifolds. It handles Stiefel varieties, Grassmannians, and Lie groups! If you're thirsty for deep learning on SO(n), check it out :)

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GitHub - lezcano/geotorch: Constrained optimization toolkit for PyTorch

Constrained optimization toolkit for PyTorch. Contribute to lezcano/geotorch development by creating an account on GitHub.

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@viditnanda

Vidit Nanda

3 years

Minor update: (👶,👩,👨)

@viditnanda

Vidit Nanda

4 years

(👩,👨) 2008 ( @RutgersU , @RutgersU ) 😃 2012 ( @RutgersU , @Penn ) 🙂 2014 ( @Muhlenberg , @Penn ) 😌 2015 ( @AmherstCollege , @Penn ) 🤨 2017 ( @AmherstCollege , @turinginst ) 😬 2018 ( @AmherstCollege , @the_IAS ) 🤨 2019 ( @Sydney_Uni , @OxUniMaths ) 😱 2021 ( @MathematicsUCL , @OxUniMaths )😃

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Vidit Nanda

2 years

Symplectic geometers Lin-Manuel Miranda 🤝 Hamiltonian flow

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Vidit Nanda

3 years

It's been a while, mathjobs dot org.

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Vidit Nanda

2 years

1/ Here are two stories about my graduate school experience at Rutgers, both about a man who has played a much larger role in my career than he realised.

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@viditnanda

Vidit Nanda

2 years

I've seen so much terrible academic advice on this website over the last few days (thanks to this wretched default "For you" tab) that I have decided to start offering my own. 1. Don't waste time studying the p-adics, their p-value is always larger than 0.05

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@viditnanda

Vidit Nanda

5 years

(Almost) everything you wanted to know about persistent homology, but were afraid to ask:

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Vidit Nanda

4 years

The notes for Week 3 of Computational Algebraic Topology contain one weird homology trick, recently discovered by a PhD student (tenured profs hate it!)

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Vidit Nanda

3 years

Very cool new paper by Jabob Leygonie and Greg Henselman-Petrusek on the following inverse problem: given a barcode, find a filtered simplicial complex whose persistent homology realizes that barcode.

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@viditnanda

Vidit Nanda

2 years

cc: @wtgowers How it started How it's going

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@viditnanda

Vidit Nanda

2 years

Analytic number theorists Lumberjacks 🤝 log log log

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@viditnanda

Vidit Nanda

5 months

Just found this devastating critique of the last few seasons of Game of Thrones on a Japanese website.

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@viditnanda

Vidit Nanda

4 years

The course starts on Monday --- in Week 1 we will cover simplicial complexes, geometric realizations, simplicial maps, and how to associate filtrations to finite datasets. The journey begins here: Notes: Videos:

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@viditnanda

Vidit Nanda

4 years

Week 4 of Computational Algebraic Topology is here! These lecture notes serve as an appetizer for both category theory and homological algebra en route to describing powerful tools for working with simplicial homology!

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Vidit Nanda

5 years

Lecture 3 of computational algebraic topology is up! Here we meet Euler characteristics, chain complexes and homology. If you make it to the end, there's ONE WEIRD PICTURE THAT EXPLAINS EVERYTHING. OTHER IMAGES HATE IT.

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Vidit Nanda

3 years

Homologists of the world, unite! You have nothing to lose but your chains. The final week of Computational Algebraic Topology involves discrete Morse theory, a wonderful tool for homology-preserving reduction of large chain complexes. Notes:

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@viditnanda

Vidit Nanda

4 years

(👩,👨) 2008 ( @RutgersU , @RutgersU ) 😃 2012 ( @RutgersU , @Penn ) 🙂 2014 ( @Muhlenberg , @Penn ) 😌 2015 ( @AmherstCollege , @Penn ) 🤨 2017 ( @AmherstCollege , @turinginst ) 😬 2018 ( @AmherstCollege , @the_IAS ) 🤨 2019 ( @Sydney_Uni , @OxUniMaths ) 😱 2021 ( @MathematicsUCL , @OxUniMaths )😃

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@viditnanda

Vidit Nanda

2 years

I usually avoid writing papers that either (1) have lots of co-authors, or (2) contain no genuinely new ideas, or (3) require me to read *many* of existing papers. This new paper violates all three rules... 1/7

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@majirouses

Maria Jose Jimenez

2 years

After a great collaboration to join efforts ... here it is: our Xmas present for TDA practitioners🥳 It was a big pleassure to work with Dashti Ali, @Aras121 , @viditnanda , @eduph_tw and Manu Soriano-Trigueros

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Vidit Nanda

2 years

I definitely took a wrong turn several pages ago ☠️

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@viditnanda

Vidit Nanda

1 year

Tis better to have Liebed and Lost than never to have Liebed at all.

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Vidit Nanda

4 years

Homology has an evil twin (with superpowers). In the fifth week of Computational Algebraic Topology, we finally run into cohomology groups:

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Vidit Nanda

5 years

"A topologist is someone who understands that the food you eat is never really inside you." 👆a far better descriptor than coffee cup = donut.

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Vidit Nanda

4 years

I have to read like 300 postdoc applications this morning. Just wanted convey a big thank-you to the wonderful person who opened their research statement with "My research interests fall into a few main categories, most of which are Abelian."

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@viditnanda

Vidit Nanda

4 months

Baby #2 is due any day now, and I am too wired to do the intelligent thing (i.e., sleep). So please join me, the wonderful @osumray , and @haharrington on a journey through some fun machine learning & representation theory. 1/11

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Vidit Nanda

3 years

It is an edict of the Archangel Gabriel that directed graphs shall be called "quivers" before one can do any representation theory on them. Here's a short thread to celebrate a new preprint () with @annaseigal and @haharrington . (1/7)

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@viditnanda

Vidit Nanda

4 years

This number seems to me a rather dull one, and I hope it is not an unfavorable omen ; )

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@viditnanda

Vidit Nanda

3 years

If you prefer the movie to the book, here are four video lectures on Persistent Homology :)

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Computational Algebraic Topology Week 6

These lectures cover all the material from the sixth week of the course C3.9 Computational Algebraic Topology at the University of Oxford. Here we discuss pe...

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@viditnanda

Vidit Nanda

3 years

Here are twelve pages on #PersistentHomology , which is the focus of Week 6 in the Computational Algebraic Topology course. I'm giving all my secrets away :) Course webpage if you want to see older notes to chase backreferences!

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@viditnanda

Vidit Nanda

4 years

I should be proving theorems, but I can't stop thinking about a hypothetical restaurant which exclusively serves appetizers in large portions and is called "Hors d'oeuvres of Magnitude".

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@viditnanda

Vidit Nanda

3 years

@littmath writing a new paper whose i-th word is different from the i-th word of Cantor's i-th paper.

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@viditnanda

Vidit Nanda

4 years

Ever tried to sneak sheaves, derived categories and local cohomology into @PNASNews ? Not easy, but with help from outstanding co-authors it can be done. Thanks to @haharrington , Jared Tanner, and most of all, to Bernadette Stolz!

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@viditnanda

Vidit Nanda

4 months

2 Minor 2 Update: (👶,👦, 👩‍🦰,👨)

@viditnanda

Vidit Nanda

3 years

Minor update: (👶,👩,👨)

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Vidit Nanda

1 year

Am I doing this right, @miniapeur ?

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Vidit Nanda

3 years

I love all of you very much, so please don't beat me up for this.

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Vidit Nanda

3 years

This is how I roll now 😎

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Vidit Nanda

5 years

Overfull \hbox is my tragic flaw.

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Vidit Nanda

2 years

Algebraists Statisticians 🤝 R-modules

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Vidit Nanda

3 years

I respect all my mathematics textbooks, especially Differential Forms in Algebraic Topology by Bott and Usted.

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Vidit Nanda

11 months

Special Announcement: the Bourbakistas and von Neumenn have logged on to tell us that ordinary multiplication of positive integers doesn't actually commute.

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Vidit Nanda

3 months

One of the students whose final exams I am grading has left one of the calculations "as an exercise for the examiner".

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Vidit Nanda

7 months

The news: The Persistent Homologist:

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Vidit Nanda

3 years

Interviewing PhD candidates born after 1/1/2000 next week.

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@viditnanda

Vidit Nanda

2 years

Recently had the amazing experience of being completely disarmed by an anonymous referee report. After this paragraph, even if the referee had recommended that I "replace all the words with new ones," I would have done so with a smile on my face.

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Vidit Nanda

6 years

Man, the local cohomology store sure has some great products.

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Vidit Nanda

1 year

Very cool, but they could have saved a lot of time and gpu costs by simulating the same black hole with microsoft paint:

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@NOIRLabAstro

NOIRLab

1 year

The iconic image of the supermassive black hole at the center of Messier 87, has received its first official makeover, thanks to a new machine-learning technique known as PRIMO! 🧵⬇️

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Vidit Nanda

2 years

A new picture-filled thread for a new paper! This is joint work with Ulrike Tillmann and our awesome student Marc Fersztand. To my mind, it is the first point of contact between topological data analysis and geometric invariant theory. 1/12

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@mathRTb

arXiv math.RT Representation Theory

2 years

Marc Fersztand, Vidit Nanda, Ulrike Tillmann: Harder-Narasimhan Filtrations and Zigzag Persistence

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Vidit Nanda

1 year

Mathematicians on the academic job market this year: please reply with a description of (or link to) your work! If there are enough responses, I will leave this tweet pinned for the next few months and hopefully more people will get to hear about you. Good luck 👍

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Vidit Nanda

3 years

Omg the computational algebraic topology notes are on Reddit! Who did this??

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Vidit Nanda

2 years

I'm co-organising a 6 month program @NewtonInstitute on all things equivariant & geometric in early 2024! If you are interested in attending some or all of this — esp. Workshop 2 — please drop me a line, and tell all your friends :)

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Vidit Nanda

4 years

[1/20] Complexes of groups are concrete objects living at the intersection of many abstract fields of mathematics: algebraic topology, algebraic+differential geometry, and even higher categories. But their most natural home is in geometric group theory...

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Vidit Nanda

3 years

I've never understood this weird stereotype of the British being a pessimistic people. You can't walk 15 minutes along any path in Oxford without stumbling across a bloody sundial. If that's not a sign of unrelenting optimism, I don't know what is.

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Vidit Nanda

4 years

Homotopy theory has a formidable (and richly deserved!) reputation: too abstract, hard to compute... But large parts can be made concrete, and help simplify computation of weaker topological invariants (eg cohomology). Homotopy is the focus of Week 2 of the TDA course! (1/3)

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Vidit Nanda

4 years

We really need to start using thenn for "then and only then"

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Vidit Nanda

5 years

Note to shelf: why call it a bunch of algebra textbooks when you could be calling it your artin stack?

@aacooper

Cooper

5 years

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Vidit Nanda

3 years

Week 7 of computational algebraic topology is all about sheaves! Check out the notes (if you dare) You will meet sheaf cohomology, etale spaces, sections... And I think the title picture is @robertghrist 's best one yet

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Vidit Nanda

4 years

Care to participate in another experiment? I've never done a thread on twitter before, and I really want to *show* you one of my favorite mathematical objects. Sounds like a two-for-one; let's go! 1/13

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Vidit Nanda

1 month

@littmath "Jake, the senator has repeatedly mentioned that he wants the states to have more powers. I agree, but we need to go further. The best system of governance is one where each community locally decides what is best for it. In fact, let L be such a local system..."

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Vidit Nanda

3 years

In 3 days I will release an amazing new preprint on the topology of cryptocurrency protocols. Prepare yourselves for blockchain homotopy equivalence.

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Vidit Nanda

3 years

The new James Bond movie's looking pretty good.

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Vidit Nanda

2 years

The best thing about microsoft teams is the amazing chat feature, which can be used to send zoom links.

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Vidit Nanda

3 years

A brief thread about this shiny new paper with colleague Harald Oberhauser and our wonderful PhD student Uzu Lim. Here we obtain precise bounds on the number of points required for estimating tangent spaces of smooth manifolds with high confidence. (1/5)

@mathSTb

arXiv math.ST Statistics Theory

3 years

Uzu Lim, Vidit Nanda, Harald Oberhauser: Tangent Space and Dimension Estimation with the Wasserstein Distance

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Vidit Nanda

2 years

One of the great things about living in the UK is the ability to see some spectacular views during the winter afternoons. Here is the stunning vista from my office at 3pm yesterday:

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Vidit Nanda

2 years

Homotopy theorists Ghostbusters 🤝 Chasing spectra

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Vidit Nanda

3 years

Just received a referee request by a journal I've never heard of for a paper well outside my area of expertise; when I click on the link to decline, it says I must create an account, log in, and then decline. What circle of hell is this?

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@viditnanda

Vidit Nanda

3 months

"Sheaves on manifolds" by Kashiwara and Schapira.

@bernardtjoy

Bernard T. Joy

3 months

If neither Dante nor Milton were available and you needed a literary guidebook for a trip through Hell which literary guidebook would you choose?

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@viditnanda

Vidit Nanda

2 years

Tweet media one

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