Install
Pure Math
Structures and proofs—algebra, number theory, topology, and geometry.
- 18 Tracked terms
- Last 30 days Feed window
What this topic collects on
An article joins this feed when it matches these terms. Each one is also a search of its own.
Related topics
Latest in Pure Math
A Structural Inquiry: Do Poles, Zeros, and Derivatives Reveal a 3D Double-Cone Model for the Zeta System?
3+ day, 10+ hour ago (1613+ words) By Supat Charoensappuech, in collaboration with Gemini 3.6 Flash (October 9, 2026) The author invites all interested readers to join in examining, testing, and critically discussing these ideas. This article is intended as the beginning of a conversation, not the end. 1. Introduction: From…...
Topology Survives Where the Energy Gap Closes, Two Nature Experiments Show
4+ day, 9+ hour ago (728+ words) Two independent Nature experiments guided by Xue-Jia Yu's theory show that topological states can survive at critical points where the energy gap closes....
Experimental observation of critical topology
5+ day, 18+ hour ago (1140+ words) The source data that support the findings of this study are available from the corresponding author on request. Source data are provided with this paper. The code used to evaluate the conclusions of this study is available from the corresponding…...
Topology Survives at Critical Points, Nature Papers Reveal
5+ day, 7+ hour ago (184+ words) Topology: A Robust Framework Protected by Topological Invariants To understand the significance of this work, we first need to discuss the concept of topology. However, this framework appears almost entirely incompatible with topological phases of matter. Critical points are gapless,…...
Topological transitions in orbital-symmetry-controlled chemical reactions
6+ day, 18+ hour ago (1622+ words) Nature Physics (2026) Cite this article Chiu, C.-K., Teo, J. C. Y., Schnyder, A. P. & Ryu, S. Classification of topological quantum matter with symmetries. Rev. Mod. Phys. 88, 035005 (2016). Bradlyn, B. et al. Topological quantum chemistry. Nature 547, 298–305 (2017). Watanabe, H., Po, H. C. & Vishwanath, A. Structure and topology of band structures in…...
Modal logic and topology
1+ week, 1+ day ago (422+ words) You can’t say much about modal logic in general. You have to be more specific to get anywhere. You have to choose some axioms. Ideally the axioms you need for your application correspond to a named set of axioms that…...
Topological models of modal logic
1+ week, 1+ day ago (475+ words) The previous post discussed a superficial connection between modal logic and topology, that both give use the terms regular and normal to indicate added sets of axioms. McKinsey and Tarski developed a deeper connection between modal logic and topology that…...
The Curious Case of 1/998001: Missing Number & Math Guide
1+ week, 2+ day ago (204+ words) Quick Answer & Key Insight: Why Does 1/998001 Generate All 3-Digit Numbers? Yes, 1/998001 generates every 3-digit sequence. Because 998001 equals $999^2$, the decimal expansion cascades through consecutive integers, but carrying digits at the 998th block creates an unexpected loop trap that skips 998. See the mathematical…...
Evidence for Exceptional Points as Topological Defects
1+ week, 5+ day ago (237+ words) Chia-Yi Ju1,2,3,4 and Szu-Ming Chen5 Featured image: The evolution of a general quantum state depends heavily on how its parameter path winds around an exceptional point. [1] Bo Peng, Şahin Kaya Özdemir, Weijian Chen, Franco Nori, and Lan Yang. ``What is and what…...
The CSD Sequence Theorem
4+ week, 1+ day ago (27+ words) Title Field me: The CSD Sequence Theorem Subtitle: A Mathematical Discovery in Repdigit Division Sequences by Chitransh Srivastava The CSD Sequence Theorem: A Pattern in Repdigit Division …...