Geometry

Classical Analysis and ODEs The Intrigue of Spread Furstenberg Sets

Discover the fascinating world of spread Furstenberg sets in geometry.

Paige Bright, Manik Dhar

2025-02-01T08:57:40+00:00 ― 6 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

Algebraic Geometry Connecting Shapes: The Dance of Algebraic Geometry

Discover the relationships between varieties and their fascinating properties in algebraic geometry.

Elisa Postinghel, Artie Prendergast-Smith

2025-01-30T09:00:40+00:00 ― 5 min read

Differential Geometry The Enigma of Special Lagrangian Pants

Discover the unique geometric shapes behind the Donaldson-Scaduto conjecture.

Gorapada Bera, Saman Habibi Esfahani, Yang Li

2025-01-30T01:01:10+00:00 ― 6 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

Optimization and Control Revolutionizing Set Operations: The Extended Set Difference

Learn how a new method simplifies complex set differences.

Arie Beresteanu, Behrooz Moosavi Ramezanzadeh

2025-01-28T03:44:00+00:00 ― 6 min read

Algebraic Geometry Unraveling Conjectures: A Mathematical Exploration

Dive into the intriguing world of projective varieties and key conjectures.

Hyunsuk Kim

2025-01-27T22:24:20+00:00 ― 9 min read

Algebraic Geometry The Intricacies of Superstring Theory and Geometry

Explore the fascinating concepts of superstrings and Riemann surfaces in theoretical physics.

Katherine A. Maxwell, Alexander A. Voronov

2025-01-27T21:10:58+00:00 ― 9 min read

Algebraic Geometry The Mumford Form: Bridging Math and Physics

Discover the Mumford form's role in connecting algebra and string theory.

Katherine A. Maxwell, Alexander A. Voronov

2025-01-27T20:23:12+00:00 ― 7 min read

Dynamical Systems Unlocking the Mysteries of Rational Maps

Dive into the fascinating world of rational maps and their dynamics.

Jan Kiwi, Hongming Nie

2025-01-27T01:05:40+00:00 ― 8 min read

Differential Geometry Discovering the Secrets of Metric Spaces

An overview of metric spaces, curvature, and their fascinating properties.

Xin Qian

2025-01-25T06:28:20+00:00 ― 6 min read

High Energy Physics - Theory The Colorful World of Brane Tilings

Explore brane tilings and their fascinating role in physics.

Yang-Hui He, Vishnu Jejjala, Tomás S. R. Silva

2025-01-25T01:30:48+00:00 ― 6 min read

High Energy Physics - Theory The Intriguing World of Orbifold Riemann Surfaces

Unraveling the mysteries of geometry and physics through orbifold Riemann surfaces.

Hossein Mohammadi, Ali Naseh, Behrad Taghavi

2025-01-25T00:43:02+00:00 ― 8 min read

Probability Diving Into High-Dimensional Permutons

Discover the fascinating world of high-dimensional permutons and their applications.

Jacopo Borga, Andrew Lin

2025-01-22T16:11:36+00:00 ― 4 min read

High Energy Physics - Theory Branes and DAHA: A Cosmic Connection

Discover the fascinating link between branes and double affine Hecke algebra.

Junkang Huang, Satoshi Nawata, Yutai Zhang

2025-01-22T14:36:04+00:00 ― 5 min read

High Energy Physics - Theory Unlocking the Secrets of Ricci-Flat Metrics

Discover how machine learning aids in understanding complex geometrical shapes.

Viktor Mirjanić, Challenger Mishra

2025-01-22T08:13:56+00:00 ― 6 min read

Metric Geometry Microsets and Dimensions: A Mathematical Journey

Explore the fascinating world of microsets and their dimensions in mathematics.

Richárd Balka, Vilma Orgoványi, Alex Rutar

2025-01-22T06:32:50+00:00 ― 7 min read

Algebraic Geometry The Six-Functor Formalism in Mathematics

A look at the six functors and their impact on geometry and algebra.

Chirantan Chowdhury

2025-01-22T01:13:10+00:00 ― 5 min read

Algebraic Geometry The Enigma of Brauer Groups in Curves

Discover the mystery behind disappearing Brauer groups in math.

Sebastian Bartling, Kazuhiro Ito

2025-01-21T22:33:20+00:00 ― 6 min read

Differential Geometry Unraveling the Wonders of Parabolic Geometries

Discover the intriguing world of parabolic geometries and their unique shapes.

Jan Slovák, Vladimír Souček

2025-01-21T17:13:40+00:00 ― 8 min read

Mesoscale and Nanoscale Physics Navigating the Quantum Market: States and Structures

Explore the intricate relationships between quantum states through geometry and topology.

Shin-Ming Huang, Dimitrios Giataganas

2025-01-21T13:07:32+00:00 ― 7 min read

Mathematical Physics The Fascinating Moyal Sphere: Geometry Meets Noncommutativity

Explore the unique properties of the Moyal sphere in noncommutative geometry.

Han-Liang Chen, Bing-Sheng Lin

2025-01-20T02:05:48+00:00 ― 6 min read

Analysis of PDEs Understanding Differential Inequalities and Their Applications

Explore how differential inequalities relate to shapes and real-world applications.

Anuk Dayaprema

2025-01-19T22:36:20+00:00 ― 5 min read

Representation Theory The Intrigue of Stiefel-Whitney Classes and Symplectic Groups

Unravel complex math concepts with Stiefel-Whitney classes and symplectic groups.

Neha Malik, Steven Spallone

2025-01-19T06:37:20+00:00 ― 6 min read

Complex Variables The Fascinating World of Univalent Functions

Uncover the unique properties and applications of univalent functions in mathematics.

Teodor Bulboacă, Milutin Obradović, Nikola Tuneski

2025-01-19T03:57:30+00:00 ― 5 min read

General Topology Cover Spaces: A Simple Guide to Complex Ideas

Learn the basics of cover spaces and their significance in mathematics.

Valery Isaev

2025-01-19T01:17:40+00:00 ― 5 min read

Algebraic Geometry Unlocking the Secrets of Tropical Intersection Homology

A fresh look at the intersection of geometry and algebra.

Ryota Mikami

2025-01-18T09:18:40+00:00 ― 5 min read

Differential Geometry The Geometry of Four Dimensions: A Dance of Shapes

Exploring four-dimensional shapes and the role of Weyl tensors in geometry.

Amir Babak Aazami

2025-01-17T21:33:12+00:00 ― 7 min read

Latest Articles for Geometry