Masaki Kashiwara, first Japanese recipient of the Abel Prize, developed the theory of D-modules and discovered crystal bases.
Born in 1947 in Yūki, Japan, he worked under Mikio Sato and set the foundations of algebraic analysis in his 1970 master's thesis. D-modules provide an algebraic language for systems of linear partial differential equations, enabling the Riemann-Hilbert correspondence. Crystal bases give combinatorial tools for studying representations of quantum groups.
Based at Kyoto University’s RIMS and KUIAS, his research has connected algebraic analysis with representation theory. He received the Chern Medal and Kyoto Prize in 2018
In 2013 an MIT mathematician wrote one minus sign on a chalkboard and explained the exact trick hedge funds farm billions from in 2026.
MIT filmed it. it has been free for 13 years. it has fewer views than a phone unboxing.
his point: volatility is not a risk you survive. it is a crop you harvest.
every "volatility harvesting" thread charging you $500 in 2026 is reselling the one line Choongbum Lee derives for nothing.
he is a mathematician, not a guru. no thumbnail, no promise. just the term that makes a shaking portfolio beat a calm one.
skip to where he writes d(log S). out falls minus one-half sigma squared. that tiny term is the "$12.50 from nowhere" in the post above.
no black box. no signal. one piece of chalk.
a quant I know made his whole desk watch minute 40 before they could touch the rebalancer.
you are 13 years late. it is still free.
Free math book, Topology Without Tears, 729 pages
https://t.co/tyUQRVBk8S
This book to provide a thorough grounding in general topology.
Topology is an important and interesting area of mathematics, It is so fundamental that its influence is evident in almost every other branch of mathematics. This makes the study of topology relevant to all who aspire to be mathematicians whether their first love is (or will be) algebra, analysis, category theory, chaos, continuum mechanics, dynamics, geometry, industrial mathematics, mathematical biology, mathematical economics, mathematical finance, mathematical modelling, mathematical physics, mathematics of communication, number theory, numerical mathematics, operations research or statistics. (The substantial bibliography at the end of this book suffices to indicate that topology does indeed have relevance to all these areas, and more.) Topological notions like compactness, connectedness and denseness are as basic to mathematicians of today as sets and functions were to those of last century.
Topology has several different branches — general topology (also known as point-settopology), algebraic topology, differential topology and topological algebra—the first, general topology, being the door to the study of the others.
Ten short videos to accompany the book. The videos expand material in the book. Of particular importance are the four videos on "Writing Proofs in Mathematics".
Other languages partial translations into:
Arabic, Chinese, Greek, Korean, Persian, Russian, Spanis, Turkish
https://t.co/yH6yN3HeaM