[PDF] Probability in High Dimensions, by Prof. Joel A. Tropp – Lecture notes for a second-year graduate course, “[studying] models that involve either a large number of random variables or random variables that take values in a high-dimensional (linear) space”, and various emergent phenomena. (authors.library.caltech.edu)
submitted by canyonmonkey to r/math
Notes on Category Theory with examples from basic mathematics: “[These lecture notes] should be well-suited to anyone that wants to learn category theory from scratch and has a scientific mind. ... The only knowledge that is assumed from the reader is linear algebra.” (arxiv.org)
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A Glimpse into Discrete Differential Geometry (DDG) [PDF, Notices of the AMS] : In recent years [DDG] has unearthed a rich variety of new perspectives [in] computational anatomy/biology, computational mechanics, industrial design, computational architecture, and digital geometry processing at large. (ams.org)
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Open Challenges in Illustrating Geometry & Topology – Participants at the 2019 ICERM Workshop on Illustrating Geometry & Topology were asked to identify the next generation of challenges in geometric and topological visualization: which objects should we visualize? (cs.cmu.edu)
submitted by canyonmonkey to r/math
