Geometry

Algebraic Geometry Chow-Lam Recovery: Unraveling Shapes from Shadows

Discover how geometric shapes can be retrieved from their projections.

Elizabeth Pratt, Kristian Ranestad

2025-04-09T07:17:10+00:00 ― 8 min read

Algebraic Geometry The Intrigue of Genus 4 Curves

Discover the fascinating world of genus 4 real algebraic curves and their properties.

S. Yu. Orevkov

2025-04-08T17:58:00+00:00 ― 7 min read

Algebraic Geometry Friezes and Curve Singularities: A Mathematical Connection

Discover the intriguing link between friezes and curve singularities in mathematics.

Eleonore Faber, Bernd Schober

2025-04-08T15:18:10+00:00 ― 4 min read

Geometric Topology The Dance of Geometry: A Visual Exploration

Discover the captivating world of geometry through dance-like movements and transformations.

Richard Evan Schwartz

2025-04-08T09:58:30+00:00 ― 5 min read

Algebraic Geometry The Fascinating World of Ternary Quartics

Explore the elegance and complexity of ternary quartics in mathematics.

Clemens Brüser, Mario Kummer

2025-04-08T01:59:00+00:00 ― 6 min read

Classical Analysis and ODEs Matrix Valued Orthogonal Polynomials and Tiling Patterns

Discover how MVOP influence complex tiling arrangements and random patterns.

Arno B. J. Kuijlaars

2025-04-07T14:36:30+00:00 ― 5 min read

High Energy Physics - Theory The Fascinating World of Symmetric Functions

Uncover the basics and applications of symmetric functions in mathematics.

Yannick Mvondo-She

2025-04-07T13:48:44+00:00 ― 6 min read

Numerical Analysis Mastering Geometry: The Role of Median-Dual Regions

Explore how median-dual regions simplify complex geometry in fluid dynamics.

David M. Williams, Hiroaki Nishikawa

2025-04-07T02:00:30+00:00 ― 7 min read

Computational Geometry Henry Dudeney's Timeless Triangle Challenge

Explore the fascinating world of Dudeney's triangle and square puzzle.

Erik D. Demaine, Tonan Kamata, Ryuhei Uehara

2025-04-05T15:22:40+00:00 ― 6 min read

Geometric Topology Unraveling the Mysteries of Graph Manifolds

Discover the fascinating world of graph manifolds and the Thurston norm.

Alessandro V. Cigna

2025-04-05T04:43:20+00:00 ― 8 min read

Number Theory Unraveling the Mysteries of Julia Sets

Dive into the captivating world of polynomials and Julia sets.

Chifan Leung

2025-04-04T23:23:40+00:00 ― 6 min read

Combinatorics The Colorful World of Alternating Sign Matrices

Explore the vibrant interplay of matrices and patterns in mathematics.

Sara Billey, Matjaž Konvalinka

2025-04-04T12:44:20+00:00 ― 5 min read

Logic Connecting Shapes: The Fascinating World of Topology

Discover the intriguing relationship between different shapes and spaces in mathematics.

Felix Cherubini, Thierry Coquand, Freek Geerligs

2025-04-04T04:44:50+00:00 ― 5 min read

Classical Analysis and ODEs The Quirky World of Singularities

Explore the thrilling twists of mathematical singularities and their secret lives.

Martin Klimeš

2025-04-03T23:25:10+00:00 ― 7 min read

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

Differential Geometry The Geometry of Learning in Machine Learning

Discover how geometry shapes learning processes in statistics and neural networks.

Noémie C. Combe

2025-04-01T20:48:20+00:00 ― 5 min read

K-Theory and Homology The Smooth Path of Algebra

Discover the importance of homological smoothness in algebraic structures.

Julian Le Clainche

2025-04-01T15:28:40+00:00 ― 5 min read

Group Theory Understanding Artin Groups: A Mathematical Exploration

Dive into the fascinating world of Artin groups and their intriguing properties.

Giorgio Mangioni, Alessandro Sisto

2025-04-01T12:48:50+00:00 ― 6 min read

Number Theory Counting Points on Toric Varieties: A Mathematical Quest

Researchers explore rational points on unique shapes called toric varieties.

Nicolas Bongiorno

2025-04-01T07:29:10+00:00 ― 6 min read

Representation Theory Interconnections in the Geometric Whittaker Model

Discover the fascinating links between algebraic geometry and representation theory.

Ashutosh Roy Choudhury, Tanmay Deshpande

2025-03-30T07:32:10+00:00 ― 5 min read

Algebraic Geometry The Fascinating World of K3 Surfaces

Discover the intriguing properties and challenges of K3 surfaces in mathematics.

Ekaterina Amerik, Mikhail Lozhkin

2025-03-30T04:52:20+00:00 ― 7 min read

Differential Geometry The Allure of Constant Mean Curvature Surfaces

Discover the fascinating world of constant mean curvature surfaces and their mathematical beauty.

Martin Kilian

2025-03-29T20:52:50+00:00 ― 6 min read

Dynamical Systems The Hidden Math of Fractals and Sofic Sets

Discover how shapes reveal secrets of dimensions and complexity.

Nima Alibabaei

2025-03-28T07:35:10+00:00 ― 8 min read

Algebraic Geometry Ten Points on a Quadric Surface: A Geometry Quest

Explore the challenge of fitting ten points on a quadric surface.

Will Traves

2025-03-27T18:16:00+00:00 ― 6 min read

Algebraic Geometry The Fascinating World of Fano Threefolds

Explore the unique properties and implications of Fano threefolds in geometry.

Anya Nordskova, Michel Van den Bergh

2025-03-26T18:17:30+00:00 ― 9 min read

Dynamical Systems The Dance of Random Self-Similar Measures

Delve into the intriguing world of self-similar measures and randomness.

Balázs Bárány, Michał Rams

2025-03-26T15:37:40+00:00 ― 5 min read

Complex Variables Transformations of Surfaces in Mathematics

Explore how surfaces change and connect in complex analysis.

Alexandre Eremenko, Sergei Merenkov

2025-03-26T12:57:50+00:00 ― 6 min read

Metric Geometry The Fascinating World of Diversities in Mathematics

Learn how diversities measure differences within sets of points.

David Bryant, Paul Tupper

2025-03-24T15:40:40+00:00 ― 6 min read

Algebraic Geometry The Tropical Abel-Prym Map: A Mathematical Exploration

Discover the links between algebraic curves and metric graphs through the tropical Abel-Prym map.

Giusi Capobianco, Yoav Len

2025-03-24T10:21:00+00:00 ― 6 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

Dynamical Systems The Intricacies of Self-Affine Sets

Discover the fascinating world of self-affine sets and their unique properties.

Roope Anttila, Alex Rutar

2025-03-23T23:41:40+00:00 ― 5 min read

Number Theory Unraveling Hermitian Modular Forms

Discover fascinating aspects of Hermitian modular forms in mathematics.

Nobuki Takeda

2025-03-23T21:01:50+00:00 ― 5 min read

Operator Algebras Unraveling Non-Commutative Algebras: A Dive into Math's Hidden Side

Discover the fascinating world of non-commutative algebras and their real-world applications.

Marcel de Jeu, Alexey Kuzmin, Paulo R. Pinto

2025-03-23T05:02:50+00:00 ― 6 min read

Metric Geometry The Wild World of Random Fractals

Explore the fascinating intersection of randomness and geometry through random fractals.

Gefei Cai, Wen-Bo Li, Tim Mesikepp

2025-03-22T23:43:10+00:00 ― 7 min read

Analysis of PDEs The Surprising Truth About Hot Spots in Geometry

Discover the unexpected behavior of heat in convex shapes.

Jaume de Dios Pont

2025-03-22T18:23:30+00:00 ― 6 min read

Probability The Surprising World of Random Matrices

Explore how random matrices influence math and the real world.

Yi Han

2025-03-22T13:03:50+00:00 ― 6 min read

Computer Vision and Pattern Recognition Advancing Geometric Understanding in AI Models

Research reveals new benchmark for improving AI's grasp of geometry.

Jiarui Zhang, Ollie Liu, Tianyu Yu

2025-03-21T19:07:57+00:00 ― 4 min read

Latest Articles for Geometry