The grounded spirituality of mathematics arXiv:2610.19216 An oral history of FPSAC arXiv:2610.19236 Natural Geometry Based on the Rectilinear Plane arXiv:2610.19253

The Diagonal of a Regular Pentagon arXiv:2610.18903 Short Proofs for the Minimum Number of Determined Circles arXiv:2610.18918 From a Student's Question to the Half-Derivative: A Constructivist T... arXiv:2610.18932

AI and humanity's long conversation arXiv:2610.13546

What Forms of Student Sensemaking Predict Mathematics Learning?: Stu... arXiv:2610.10573 The Markov Accessibility Topology and its Probabilistic Structure arXiv:2610.10591

Theory of Situations arXiv:2610.09942

A Primer on Ethics in Mathematics arXiv:2610.08209

Ehrhart Properties under Operations on Lattice Polytopes arXiv:2610.06338

How to Bake a Composition Operator from Scratch arXiv:2610.03907 Why Does the Slope Definition of e Work?: A Self-Contained Explorati... arXiv:2610.04177 The Quarter-Turn and the Ball arXiv:2610.06303

Mathematical Illustration: Proof, Intuition and AI arXiv:2610.02655 Structure-Driven Methodology: An Emerging Cross-Domain Paradigm arXiv:2610.02698

Banded Reduction of Integrals for Hyperexponential and Algebraic Fun... arXiv:2609.38221 A unified interpretation of probability arXiv:2609.38293 A Math Circle in Third Grade arXiv:2609.39641

Student Perceptions of Tablet-Based Teaching and Learning in TNE Und... arXiv:2609.36175 Design and Implementation of Interactive Videos in Undergraduate Tra... arXiv:2609.36176

What math means to me arXiv:2609.32028 Leiden Declaration on Artificial Intelligence and Mathematics arXiv:2609.35334

All Quiet on the AI Front: The Future of Undergraduate Math Research... arXiv:2609.28615

Robert J. Daverman (1941-2026) arXiv:2609.28515 Percolation on Finite Graphs arXiv:2609.28552 The Siren Call of Silicon Leviathan: Reflections on blowup and Aufkl... arXiv:2609.28591

The next Fourier transform: rewiring, representation, and artificial... arXiv:2609.26974 Training Mathematicians in the Age of AI: Intellectual Agency, Cogni... arXiv:2609.28140

Approximating Pi (and other constants) by Radicals in the Footsteps ... arXiv:2609.25098 From foundations to applications: reverse mathematics and philosophy arXiv:2609.25183

Comparing different approaches to the concept of determinant: the mu... arXiv:2609.23138 Come for the vibe, stay for the math arXiv:2609.24079 Notes on a strongly aperiodic monotile in E^3 arXiv:2609.24779

Descartes' Circle Theorem, Princess Elizabeth, and Spinors arXiv:2609.22388 Mathematical folklore arXiv:2609.22451 Graduate Mathematics in the Age of AI: Forming Mathematicians for Or... arXiv:2609.22891

Discovering Heron's Triangle Area Formula in a Morning in the Rain arXiv:2609.22320 Toward Well-Posed Problems in the Social Sciences: Hadamard's Criter... arXiv:2609.22321 Transforming Mathematics arXiv:2609.22367

Mathematics Graduate Training in the Age of AI arXiv:2609.21132 On the Reconstruction of SAS from Other Triangle Congruence Criteria... arXiv:2609.21385