On the Importance of Illustration for Mathematical Research

2023/07/10 by Rémi Coulon, Gabriel Dorfsman-Hopkins, Edmund Harriss +3 · 1 voice
Computer Science · Mathematics · #Data Visualization and Analytics #math.HO

paper · pdf · doi:10.1090/noti2839

arxiv published 2023/07/10 · arxiv updated 2023/11/13 · openalex publication_date 2023/12/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/27

Abstract

The list of examples of research driven by illustration is rapidly expanding. We will discuss instances of this interplay in fields ranging from representation theory to geometry and many others.

Citations

• Tensor networks, p-adic fields, and algebraic curves: arithmetic and the AdS₃/CFT₂ correspondence
• Spelunking the Deep: Guaranteed Queries on General Neural Implicit Surfaces via Range Analysis
• Dynamics and topology of the Hat family of tilings
• Direct Construction of Aperiodic Tilings with the Hat Monotile
• A chiral aperiodic monotile

Discussions

• Vielen Dank schon mal für die Woche Thomas. Meine Frage: Welche Rolle spielen Illustrationen (ganz breit gesehen: Bilder, Spiele, VR, 3D Druck, ...) bei der Lehre, Forschung und Vermittlung von Mathem [bsky, 3 points, 1 comments]

Related

• Mathematical Foundations in Visualization
• Illustrating Mathematics using 3D Printers
• Proofs and Pictures
• Visually Representing the Landscape of Mathematical Structures
• Computer experiments and visualization in mathematics and physics. A subjective short walk among some historical examples