Runnel Zhang

Fragments

Thoughts, correspondence, and miscellaneous notes. A collection of unfinished ideas and fleeting moments.

A First Glimpse of AI and Topos Theory: Aha Moment Brought by a Lecture at PKU

Follow-up on Hugo Duminil-Copin's Lecture: Probing SAW Universality and 4D Triviality

A Successful Star-Chase: Cutting Class for Hugo Duminil-Copin's Lecture on Self-Avoiding Walks

The "Holy War" Moves to the Server Room — Notes on Mochizuki’s Oct 2025 Report

The Tian-Cai Confluence: Geometric-Combinatorial Proof of Identity

Minecraft: The Riemann Manifold of Fun—A Hypothetical Physics Simulation

The Proper Way to Speak Like a Mathematical Maniac: A Self-created Meme

The Space Between the Lines: A Post-Gaokao Journey into Knot Theory via Nikonov's seminar

The Naming Game — From RC，Runnel, Rangnuo, Jeanot to Rinelle

Echoes of Summer — From Hopf Fibrations to Higher Algebra

Correspondence with Professor Tom Leinster: My Translation of "Rethinking Set Theory" and a Request for Guidance

The Geometry of Dialogue and the Logic of Narrative: A Taste of Linear Logic

Synthesis and Properties of a Novel Tungsten-Containing Organic Compound Based on Superchemistry Theory

The Absolute Zero: Saburou Saitoh’s Crusade to Redefine Mathematics

Unveiling Arithmetic Deformation Theory: Reflections on Fesenko’s "Notes on the work of Shinichi Mochizuki"

A Gateway to Dualities: Mirror Symmetry between Space and Structure

Prop Presentations for Linear Algebra: The $\mathbf{cb}_k$ Calculus

Christmas Night at Geek College: From Free Products to Asymptotic Envelopes

Initial Construction and Preliminary Properties of Chunpinative Geometry