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The Mathematician

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Published 16th September 2025

📜 History and Biography of Mathematics and Science

Chapter 3: The Book That Some People Read (analog-antiquarian​.net). Copernicus’s On the Revolutions explored: heliocentrism, epicycles, and Aristotelian influence amid 16th-century reception and Osiander’s preface controversy

Good Reads: The Princeton Companion to Mathematics (math3ma​.com). Timothy Gowers edits a comprehensive math reference with accessible chapters on category theory, abc conjecture, GR, P vs NP, C*-algebras, Riemann zeta, Calabi-Yau manifolds, and historical pieces

The history of science in medieval Islamicate culture. (thonyc​.wordpress​.com). Reviews Islamic astronomy, the House of Wisdom, and key figures like Nasīr al-Din al-Tūsī, Ibn al-Haytham, al-Biruni, and Pormann; recommends Blake, Steele, Masood, and the Encyclopedia of Arabic Science

Remembering R.C. Ward (doc​.searls​.com). R.C. Ward remembered through Ward’s Law, personal anecdotes, and biographical details of his life and career

Outside the Box Thinking: Galileo's Geometry of Dante's Inferno (politicalcalculations​.blogspot​.com). Galileo's geometry of Dante's Inferno inspires cross-disciplinary insights linking math, literature, and later scientific work

De Valera Connections (telescoper​.blog). Éamon de Valera’s funeral anniversary, Maynooth connection, and reflections on his role and RTÉ documentary

Einstein’s First Lecture in Britain (telescoper​.blog). Einstein’s 1921 Britain lecture in German at Manchester; 1919 eclipse fame, honorary DSc, Guardian clipping discussion, Nottingham lecture, violin anecdote

📈 Applied Mathematics, Statistics, and Modeling

Statistical methods in variety testing (cameroncounts​.wordpress​.com). Overview of the Thirteenth Working Seminar on Statistical Methods in Variety Testing at COBORU, with discussions on design, models, regulation, data re-analysis, and cryptography-linked history in Poznań

7 tutorials of MODFLOW6 and mf6Voronoi for mine related groundwater modeling (hatarilabs​.com). Tutorial series on MODFLOW6 and mf6Voronoi for regional to transport modeling in mining hydrogeology

All coins are dice but not all dice are coins (andifugard​.info). Explores viewing a coin as a degenerate 2-sided die and discusses randomness, dice, and related quotations

Update on Possible Breaches to Postquantum Cryptography (trevornestor​.com). Discussion of Beijing trip and potential new methods to break postquantum cryptography, with links and author background

Fourier transform history in mathematics (flowingdata​.com). Historical overview of Fourier's transform, JPEG compression, and the fast Fourier transform by Cooley and Tukey

The Strangely Anthropic Form of Natural Laws (brianschrader​.com). Anthropic viewpoint on natural laws, the complexity dip, and teaching Newtonian mechanics contrasted with QFT and GR

✅ Logic, Formal Methods, and Reproducible Computation

Dynamic Formal Verification in OCaml: An Ortac/QCheck-STM Tutorial (tarides​.com). Dynamic formal verification in OCaml via Ortac/QCheck-STM for Gospel specifications and Dune integration

Linkage (11011110​.github​.io). Crowdsourced linking of erdosproblems.com with OEIS, updates on math topics, licensing issues, and anecdotes across Wikipedia, META operations, and matroid theory

PY2010: Intermediate Logic (consequently​.org). Intermediate Logic course covering proof theory and model theory of propositional, modal, and predicate logic with Logical Methods textbook

[Draft] Extensions to Claycode (1a-insec​.net). Explores claycode extensions: erasure coding, custom layouts, footprint functions, Poisson sampling, and contour-based cell layouts

Defeating Nondeterminism in LLM Inference (simonwillison​.net). Nondeterminism in LLM inference arises mainly from varying load and batch size; paper proposes invariant kernels in PyTorch to achieve determinism

💻 Computational Mathematics, Visualization, and GPU Layouts

Fibonacci Funhouse: Exploring Ruby Algorithms for Fibonacci Numbers (rorvswild​.com). Ruby algorithms for Fibonacci numbers: recursion, Binet, BigDecimal, Rational approximations, tail call optimization, matrices, fast doubling

CuTe partitions (veitner​.bearblog​.dev). CuTe tiling modes: Inner/Outer/Thread-Value partitions, tiled_divide, make_layout, and kernel examples for bf16 Copy operations on CUDA

CuTe Tilers (leimao​.github​.io). CuTe tilers, composition, complement, division, product, and tiling concepts for data access in CuTe layout algebra

3D Mathematica graphics for the triangle problem (leancrew​.com). 3D graphics in Mathematica for a triangle problem, using Graphics3D and ListPointPlot3D, with notes on lighting and notebook evaluation

Emmy, the Algebra System: Classical Mechanics Chapter One (clojurecivitas​.github​.io). Explores SICM-inspired Lagrangian mechanics demonstrations using Emmy: free particle, harmonic oscillator, Euler–Lagrange equations, and path optimization

Dragon Curve Fractal - Complex & Bits (clojurecivitas​.github​.io). Dragon curve fractal explored through complex numbers, powers of (1+i), and binary bit tricks in Clojure’s fastmath

🧩 Combinatorics, Graphs, and the Probabilistic Method

Quickly approximating Shapley Games (theorydish​.blog). Monotone contractions, fixed points, gluing theorems, and complexity bounds for approximating Shapley Games

Planarizing matchings (11011110​.github​.io). Planarizing matchings in the Petersen graph; string graphs, planarizing matchings, NCL-inspired reductions, and linear-time recognition in bounded treewidth graphs

Maria-Romina Ivan and Sean Jaffe: The saturation number for the diamond is linear (gilkalai​.wordpress​.com). Saturation number for the diamond is linear; poset saturation, diamond poset, linear lower bound, Maria-Romina Ivan, Sean Jaffe

Richard Montgomery and Lisa Sauermann Present Major Progress on Rota’s Basis Conjecture (gilkalai​.wordpress​.com). Asymptotically-tight packing and covering with transversal bases in Rota’s basis conjecture by Montgomery and Sauermann

Is the Prob Method `Just Counting'- I say no and HELL NO (blog​.computationalcomplexity​.org). Lower bounds via probabilistic method in Ramsey numbers; domination sets; counting vs probability; remarks on Domination Set Theorem

Many Hard Leetcode Problems are Easy Constraint Problems (buttondown​.com/hillelwayne). LeetCode problems as constraint-satisfaction tasks using MiniZinc, Z3, or OR-Tools with examples like stock trading and histogram area optimization

🧮 Number Theory, Algebra, and Triangle Geometry

Out of Distribution Data, and other experiments for 'ML and vanishing order' Paper (davidlowryduda​.com). Machine learning experiments on L-functions, PCA/LDA, and out-of-distribution data using Dirichlet coefficients and primes, with Python code excerpts

A Shadow of Triality? (golem​.ph​.utexas​.edu). Relation between triality of Spin(8) and inner automorphisms of octonions via Lamont’s theorem and Moufang identities

Smooth numbers and max-entropy (terrytao​.wordpress​.com). Maximum entropy approach to model smooth numbers and the role of prime size distribution in friable numbers

Young Ramanujan Challenged Mathematicians. No One Solved It (mindyourdecisions​.com). Ramanujan-inspired nested radicals problem, patterns, proofs, and Putnam contest connections explored

A triangle inequality by Erdős (johndcook​.com). Erdős conjectured a triangle inequality; Mordell and Barrow proved it, relating distances to vertices and sides inside a triangle

More triangle inequalities (johndcook​.com). Four more triangle inequalities by Oppenheim in a triangle with a point P inside, relating vertex distances x,y,z to side distances p,q,r

📚 Academic Research

Hurwitz space components; and the Coleman-Oort Conjecture (arxiv:math). Hurwitz spaces, braid orbits, Schur multiplier, lift invariant, Modular Towers, and Coleman-Oort relations in Galois covers and Hurwitz components

Permutation-Based Distances for Groups and Group-Valued Time Series (arxiv:math). Permutation-based distances (Cayley, Kendall tau) on finite groups; Cayley's theorem; ordinal representations in time series; group-valued time series analysis

The Negation Of Singer's Conjecture For The Sixth Algebraic Transfer (arxiv:math). Algorithmic computation of GL(q)-invariants in the Kameko kernel disproves Singer's monomorphism conjecture for sixth algebraic transfer

Efficient Polynomial Identity Testing Over Nonassociative Algebras (arxiv:cs). Efficient PIT for nonassociative polynomials: Amitsur-Levitzki-type results, randomized and deterministic PIT, and hitting sets

Meromorphic solution of a certain type of algebraic differential equation (arxiv:math). Meromorphic solutions of a special algebraic differential equation via normal families and Li–Yang, Xu et al. generalizations

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