The big one
This morning I woke to WhatsApp message from a friend: the Navier-Stokes problem has been solved. To be more precise: it was shown a solution to the Navier-Stokes equations of fluid dynamics can...
View ArticleWhat’s not new
There is nothing new under the sun. Yes, we are living through a technological revolution of dramatic consequences. We who have lived through the birth of personal computers, the rise of the internet,...
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Souvenirs from Timisoara: an invariant subspace theorem and a solution of an...
A couple of weeks ago I attended the 30th International Conference in Operator Theory, that took place at West University in Timisoara, Romania. This is a longstanding series of conferences in...
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Marcel Scherer resolves the Smith-Ward problem!
Yesterday, Marcel Scherer (a postdoc in our group here at the Technion) published his new exciting preprint “A Three-Dimensional Operator System without the Smith–Ward Property“. This paper contains a...
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Breakthrough bounds on the universal dilation constant by Ian Thompson
Last week Ian Thompson published an exciting preprint on the arxiv: “On the universal commuting dilation constant“. The preprint contains great improvements to both upper and lower known bounds to the...
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On the spectral radius of operator tuples (new paper)
Marcel Scherer, Eli Shamovich and I have recently uploaded to the arxiv our new paper “On the spectral radius of operator tuples“. In this paper we study the spectral radius function which is...
View ArticleThe publishing monster: it is us
I have recently seriously written on “The Unreasonable Flakiness of Assessment in the Mathematical Sciences“, and today I want to look at our flaky business from another angle, not 100% serious, but...
View ArticleMini book review: Philosophy of Mathematics (Brown)
Following up on my commitment from the last post, I am coming back with a final report of the Brown’s Philosophy of Mathematics: A Contemporary Introduction to the World of Proofs and Pictures. I...
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Reading log: Philosophy of Mathematics (Brown)
Is there any better escape from reality than mathematics? Sure there is: philosophy of mathematics. I am reading “Philosophy of Mathematics: A Contemporary Introduction to the Worlds of Proofs and...
View ArticleThe Unreasonable Flakiness of Assessment in the Mathematical Sciences
Of course, this is a rant. You can tell by the title. But, for the record, let me be forward that I don’t have an idea how to solve the problem that I will be lamenting, nor do I think that I am doing...
View ArticleThe path to noncommutative function theory: a research story
This document contains some excerpts from Part B2 of my ERC grant proposal. The area of NC function theory is not as widely recognized as some other areas competing for grants, I therefore thought...
View ArticleSeven antidotes for AI confusion
In a recent academic assembly a colleague said something along the lines of “the AI revolution is imminent, we must act quickly or we will be left behind” which – together with the incoherent clamor...
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Student projects in complex function theory – The Prime Number Theorem and...
(This post is an updated version of an older post with another project added) In the recent spring semester I taught the advanced course Function Theory 2, which was about a number of advanced topics...
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“We can obtain less rigorous but more convincing results by other means” (new...
Malte Gerhold, Marcel Scherer and I have recently posted our paper “Empirical bounds for dilations of free unitaries and the universal commuting dilation constant” to the arxiv. This my first paper...
View ArticleRecommended reading: History of Large Language Models
I I found the following nice history of large language models (LLMs, or in other words Chat-GPT, CLaude and all their AI kin) on Gregory Gundersen’s blog:...
View ArticleStudent projects in complex analysis: The Prime Number Theorem
In the recent spring semester I taught the advanced course Function Theory 2, which was about a number of advanced topics in complex function theory, where “advanced” means that they are typically not...
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The Analyst’s Gambit: A Second Course in Functional Analysis
My new book The Analyst’s Gambit: A Second Course in Functional Analysis is now published with CRC Press, and I received this nice ad from the publisher to put on my website and share a discount code...
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The Analyst’s Gambit
I just finished going over the proofs of my upcoming book: The Analyst’s Gambit: A Second Course in Functional Analysis. It should be published around the end of 2025. Stay tuned!
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Souvenirs from Waterloo
two weeks ago I attended the Canadian Operator Algebras Symposium 2025 (COSy) which is an annual meeting held by the Canadian Operator Theory and Operator Algebras community. This year the meeting was...
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Souvenirs from Tunnel Mountain
Last week I attended the BIRS workshop “Noncommutative Function Theory: the Noncommutative Frontier of Analysis and Algebra“. You can find my talk and other talks that were recorded in this link. I...
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