Finding out hidden rules of the mathematical-physical and complex systems using mathematics, computing, and machine learning toolkit.
Latest from the Blog
Prismatic Stable Homotopy Theory, c.f. Lurie, J. (2026)
In the 2026 ICM lecture, Jacob Lurie discussed developments in last one decade or so in 
New Foundations for Function Analysis: part 0, c.f. Clausen, D. (2021)
Historical note around Serre, Borel, and Leray: These lecture notes were written on the occassion of centennial birthday anniversary of J.P. Serre, which was celebrated in the form of a conference, Serre 100, at Institut Henri Poincaré, Paris. The talks are accessible here. This event reminded me of an insightful and heartwarming special plenary lecture…
History and Future of Fluid Dynamics
“It is as if there existed, for what seems like millennia, tracing back to the very origins of mathematics and of other arts and sciences, a sort of “conspiracy of silence” surrounding these “unspeakable labors” which precede the birth of each new idea, both big and small, and which thereby lead to a renewal of…
Einstein’s collected works at the Einstein Paper Project (LA)
Recently, I had an opportunity to visit the Einstein Papers Project (EPP), a centre that is currently compiling, organising, and publishing all the major and minor written works by the great 20th century theoretical physicist Albert Einstein. This centre is born out of the efforts from Einstein’s secretary Miss Helen Dukas and close friend Otto…
Congratulatory post – incoming Ph.D. student at the University of Edinburgh
This post is intended to congratulate Mr Adnan Mahmud, who is going to join the University of Edinburgh as a Ph.D. student and work on digital twins using Bayesian networks for real-time uncertainty quantification and predictive analysis. After supervising Adnan on the Fluid Mechanics course for Cambridge CE Tripos, we worked on a series of…
2-player games: Ergodic Theory and Ramsey Theory results
This post aims to summarise key results from the literature of two-player games, both finite (with an absorbing state) and infinite (without an absorbing state). Canonical examples include competitive or recreational games like chess, tic-tac-toe (including the ultimate version), and attacker-follower games (known as Stackelberg games in game-theoretic economics). On Math Stack Exchange, for over…
Fluid Dynamics, Computer Science, and Geometry – Barcelona 2024
After the June 2023 workshop organised in Royal Institution, London on “Navier-Stokes regularity, fluid computing, and machine learning”, which hosted the guest lecture by Prof. Eva Miranda, who was awarded the Hardy lecturer title, Eva, Daniel, and Ángel organised a first of its own kind workshop in Barcelona, in September 2024. Spanning almost a week,…
Euler’s (compiled) works in Bernoulli-Euler Zentrum, Basel
Recently, I had an opportunity to visit the University of Basel in Switzerland, which houses a fascinating archive centre in its University Library — the “Bernoulli-Euler Center (BEZ in German)”, founded in 2010. I was kindly hosted and given a brief tour of the archive centre by the researcher and archivist based in the centre,…
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