Mathematics - Geometric Topology

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Metric Geometry The Art and Math of Barański Carpets

Discover the fascinating relationship between fractals and Hölder equivalence.

Yunjie Zhu, Liang-yi Huang

2025-04-15T15:07:40+00:00 ― 6 min read

Latest Articles

Geometric Topology Mass Centers: Unraveling Geometry

Discover how mass centers function in different geometries, from flat to curved spaces.

Yunhj Cho, Hyounggyu Choi

2025-04-03T18:05:30+00:00 ― 5 min read

Geometric Topology Untangling the Mysteries of Knot Theory

Discover the complexities of knots and links in mathematics.

Corentin Lunel, Arnaud de Mesmay, Jonathan Spreer

2025-04-03T04:46:20+00:00 ― 7 min read

Geometric Topology Unlocking the Secrets of 4-Manifolds

Dive into the fascinating world of four-dimensional shapes and their classification.

Rhuaidi Antonio Burke, Benjamin A. Burton, Jonathan Spreer

2025-04-02T15:27:10+00:00 ― 7 min read

Algebraic Topology Unpacking Topology: Compactness and Finiteness

Discover the intriguing world of topology through compactness and finiteness.

Marco Volpe

2025-04-02T10:07:30+00:00 ― 6 min read

Geometric Topology The Intricacies of Tangles and Their Secrets

Unveiling the fascinating world of tangles and their mathematical significance.

Kai Smith

2025-03-26T23:37:10+00:00 ― 4 min read

General Topology The Intricacies of Shapes in Topology

Explore the fascinating world of shapes and their connections in topology.

Diego Mondéjar

2025-03-24T07:41:10+00:00 ― 5 min read

Algebraic Geometry Unraveling Kodaira Fibrations: A Deep Dive

Explore the connections between Kodaira fibrations, surfaces, and their algebraic properties.

Francesco Polizzi, Pietro Sabatino

2025-03-14T23:55:10+00:00 ― 6 min read

Geometric Topology Knots Untangled: The Upsilon Invariant Explained

Discover the Upsilon invariant and its role in understanding knots.

Hajime Kubota

2025-03-14T18:35:30+00:00 ― 7 min read

Algebraic Topology The Kervaire Invariant: A Milestone in Topology

New findings reveal smooth framed manifolds in dimension 126.

Weinan Lin, Guozhen Wang, Zhouli Xu

2025-03-07T00:07:10+00:00 ― 4 min read

Mathematical Physics Unraveling the Mysteries of Knots and Three-Manifolds

Discover the fascinating world of knots and their connection to three-manifolds.

Sachin Chauhan

2025-03-03T10:43:50+00:00 ― 5 min read

Geometric Topology Knotoids: A New Twist in Knot Theory

Discover knotoids, the open-ended knots transforming mathematics and biology.

Sergei Chmutov, Qingying Deng, Joanna A. Ellis-Monaghan

2025-03-02T18:53:30+00:00 ― 6 min read

Geometric Topology The Andrews-Curtis Conjecture: Simplifying Complexity in Mathematics

Explore the intriguing relationships between groups, surfaces, and conjectures in math.

Lucas Fagan, Yang Qiu, Zhenghan Wang

2025-03-02T08:14:10+00:00 ― 7 min read

Machine Learning GeLoRA: A Smarter Way to Fine-Tune AI Models

GeLoRA simplifies and cuts costs for fine-tuning large language models.

Abdessalam Ed-dib, Zhanibek Datbayev, Amine Mohamed Aboussalah

2025-02-28T00:55:56+00:00 ― 5 min read

Geometric Topology The Colorful World of Knot Theory

Discover the fascinating connections of knots through virtual and mosaic representations.

Taylor Martin, Rachel Meyers

2025-02-19T08:30:40+00:00 ― 6 min read

Geometric Topology Quadratic Bias and Manifolds Explained

Explore the intriguing connection between quadratic bias and manifolds in mathematics.

Ian Hambleton, John Nicholson

2025-02-19T00:31:10+00:00 ― 7 min read

Geometric Topology Hearing Shapes: The Sound of Surfaces

Discover how sound reveals the shape of unique surfaces.

Nolwenn Le Quellec

2025-02-18T16:31:40+00:00 ― 7 min read

Geometric Topology Untangling the Mystery of Link Theory

Discover the fascinating world of link theory and its key concepts.

Anthony Bosman, Christopher William Davis, Taylor Martin

2025-02-06T22:09:20+00:00 ― 6 min read

Geometric Topology Surfaces in Four-Dimensional Spaces

Dive into the fascinating world of 4-manifolds and surfaces.

Arunima Ray

2025-02-01T22:16:50+00:00 ― 7 min read

Geometric Topology The Fascinating World of Geometry

Discover the beauty of Kähler surfaces and their applications in science.

Yi Du

2025-01-30T11:40:30+00:00 ― 5 min read

Geometric Topology Knot Theory Explained: The Role of Skein Invariants

Discover how skein invariants simplify the study of knot theory.

Igor Nikonov

2025-01-29T11:42:00+00:00 ― 9 min read

Soft Condensed Matter The Secrets of Biopolymer Self-Assembly

Discover how biopolymers form shapes through self-assembly and the role of solvents.

Rhoslyn Coles, Myfanwy E. Evans

2025-01-21T10:44:14+00:00 ― 7 min read