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Saugata Basu
Professor of Mathematics, Purdue University. Interested in real algebraic and o-minimal geometry, model theory and combinatorics, and complexity theory.
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Saugata Basu 3. velj
Odgovor korisniku/ci @SaugataBasu4
I am sitting in a cafe totally stuck and wondering if I should go for a walk to get unstuck. But then it is pleasant outside and not raining — so I don’t know how effective the walk would be.
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Saugata Basu 2. velj
Here is another excerpt from the same book “Miscellany”. As inspiring today as when I first read these lines — perhaps as a grad student.
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Saugata Basu 2. velj
I was trying to bring some order to my bookshelves when I came across my copy of “Littlewood’s miscellany” and started browsing. I promise I am never going to complain about my teaching load again.
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Saugata Basu 30. sij
Odgovor korisniku/ci @achambertloir
Exercise ?
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Saugata Basu 28. sij
Odgovor korisniku/ci @SaugataBasu4
Of course, all this would be clearer if we were allowed to talk about dual spaces. But alas, while we can talk about the transpose of a matrix, we cannot interpret it as the matrix of the transpose of the original map.
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Saugata Basu 28. sij
Odgovor korisniku/ci @SaugataBasu4
But the fact that the "algorithm" for checking infectivity for a linear map given by a matrix is to check that all cols are pivotal, and for surjectivity that all rows are pivotal, seems to convey the same(-ish) idea. 2/2
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Saugata Basu 28. sij
I am teaching a mostly "no proofs" linear algebra for engineers. So there is no time to explain that injectivity and surjectivity are dual properties in terms of left/right cancellability or vanishing of kernel/cokernel. 1/2
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Saugata Basu proslijedio/la je tweet
Laxmi_Parida 26. sij
Looking for (1) a summer intern and (2) a postdoc in my group for Topological Data Analysis on omics data. Email me if interested.
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Saugata Basu 25. sij
Dinner after the third edition of mini-conference on real algebraic geometry at Purdue on occasion of Marie-Francoise’s visit (this has now become an annual tradition).
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Saugata Basu 16. sij
We are organizing a Hot Topics Workshop at ICERM on "Symmetry, Randomness, and Computations in Real Algebraic Geometry", Aug 24 -28, 2020. Please consider applying and/or encourage your graduate students to apply. Some funding may be available.
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Saugata Basu 16. sij
Before I joined twitter last month JMM was just a big meeting at the most inconvenient time of the year. Now the constant updates is making me rue that I am missing out on a lot of fun and friends -- not to mention math :(
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Saugata Basu 12. sij
I just made my second blog post. This time on "Vapnik-Chervonenkis dimension" -- emphasizing its connections to many different areas of math. Corrections, suggestions, comments are all very welcome.
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Saugata Basu 1. sij
Odgovor korisniku/ci @MonniauxD
It is an interesting problem with many applications. The core difficulty is that the usual (Artin's) proof of Hilbert's 17th problem is completely nonconstructive, and it is much more difficult (compared to the proof of Hilbert's Nullstellensatz) to obtain an effective proof.
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Saugata Basu 31. pro
Odgovor korisniku/ci @MonniauxD
I think the standard reply would be to use a “ Lasserre hierarchy” of semi-definite programs and hope you get a witness without the programs becoming very large
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Saugata Basu proslijedio/la je tweet
Scoffing Mathematician 🏳️‍🌈🇪🇺 29. pro
They don't know. They don't believe one can know. They don't believe there's anything to know. That's what makes physics so hard for mathematicians.
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Saugata Basu 28. pro
Odgovor korisniku/ci @solifine
I agree.
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Saugata Basu 28. pro
Odgovor korisniku/ci @solifine
Answer to your first question is yes. I was tacitly assuming this. I am not sure about the second in the context of "mixed" computations.
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Saugata Basu 28. pro
I resurrected my math blog and made my FIRST real blog post -- on "categorical complexity". Please feel free to comment on content, style and anything else that I should be aware of.
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Saugata Basu proslijedio/la je tweet
Laxmi_Parida 24. pro
Yoga (plate-asana) and mathematics: "The fundamental group of SO(3) contains an element of order two."
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Saugata Basu 22. pro
Odgovor korisniku/ci @BarbaraFantechi
Good idea. But I am still learning the "twitter style"... FYI, there will be a back-to-back two week meeting in CIRM on RAG next year.
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