Mathematics

Metric Geometry Exploring Volumetric Moments in Geometry

A dive into the fascinating world of polytopes and volumetric moments.

Dominik Beck

2025-03-21T07:45:40+00:00 ― 7 min read

Quantum Algebra Vertex and Gorenstein Algebras: A Deep Dive

Exploring the intriguing links between vertex algebras and Gorenstein algebras.

Alex Keene, Christian Soltermann, Gaywalee Yamskulna

2025-03-21T05:05:50+00:00 ― 5 min read

Combinatorics The Exciting World of Parking Functions

Discover the fun behind parking functions and their surprising probabilities.

Steve Butler, Kimberly Hadaway, Victoria Lenius

2025-03-21T02:26:00+00:00 ― 5 min read

Spectral Theory The Fascinating World of Steklov Eigenvalues

Discover the unique properties of surfaces through Steklov eigenvalues and their multiplicity.

Samuel Audet-Beaumont

2025-03-20T23:46:10+00:00 ― 6 min read

Probability Random Fields: The Dance of Uncertainty

Exploring how random fields model unpredictable systems in nature and finance.

Qiangang "Brandon'' Fu, Liviu I. Nicolaescu

2025-03-20T21:06:20+00:00 ― 5 min read

Combinatorics Gambler's Ruin: The Game of Odds

Discover the thrilling world of probability in gambling and its mathematical roots.

Lucy Martinez

2025-03-20T18:26:30+00:00 ― 6 min read

Representation Theory Connecting Algebra and Geometry: Associated Varieties

Discover the role of associated varieties in bridging different math disciplines.

Hengjia Zhang, Xiaoping Xu

2025-03-20T15:46:40+00:00 ― 6 min read

Algebraic Geometry Layers of Geometry: Unpacking Calabi-Yau Foliations

Discover the intricate world of Calabi-Yau foliations and their significance in mathematics.

Rémi Danain-Bertoncini

2025-03-20T13:06:50+00:00 ― 6 min read

General Relativity and Quantum Cosmology Unraveling the Mysteries of Group Field Theory

A fresh perspective on quantum gravity and the nature of space and time.

Steffen Gielen

2025-03-20T11:55:54+00:00 ― 7 min read

Combinatorics Guarding Graphs: Roman Domination Explained

Discover how graph theory concepts relate to strategy and efficiency.

Ravindra Kumar, Om Prakash

2025-03-20T10:27:00+00:00 ― 6 min read

Optimization and Control Navigating Uncertainty: Optimal Control Explained

Learn how researchers tackle uncertainty in complex systems using optimal control methods.

Rene Henrion, Georg Stadler, Florian Wechsung

2025-03-20T09:13:32+00:00 ― 6 min read

Analysis of PDEs Waves in Beams: A Journey into Mechanics

Discover how waves travel through beams and impact structural safety.

Hana Formánková Levá, Gabriela Holubová, Petr Nečesal

2025-03-20T07:47:10+00:00 ― 6 min read

Dynamical Systems The Dance of Cocycles and Rotations

Unraveling the complexity of cocycles in mathematical rotations.

Nikolaos Karaliolios

2025-03-20T05:07:20+00:00 ― 6 min read

Symplectic Geometry Dancing Through Dimensions: The World of Contact Geometry

Discover the intriguing connections between contact geometry and real-world applications.

Simon Vialaret

2025-03-20T02:27:30+00:00 ― 7 min read

Category Theory Exploring Two-Dimensional Category Theory

Discover the fascinating interactions in two-dimensional category theory.

Nathanael Arkor, John Bourke, Joanna Ko

2025-03-19T23:47:40+00:00 ― 5 min read

Representation Theory The Intricacies of Triangulated Categories

Dive into the world of triangulated categories and their significance in mathematics.

Janina C. Letz, Julia Sauter

2025-03-19T21:07:50+00:00 ― 6 min read

Computational Finance Isogeometric Analysis: A New Tool for Finance

Discover how IGA transforms financial derivative pricing methods.

Rakhymzhan Kazbek, Yogi Erlangga, Yerlan Amanbek

2025-03-19T21:07:00+00:00 ― 6 min read

Operator Algebras Unraveling the Mysteries of KMS States

A look into KMS states and quantum Cuntz-Krieger algebras in quantum physics.

Manish Kumar, Mateusz Wasilewski

2025-03-19T18:28:00+00:00 ― 6 min read

Logic Gödel's Bold Insights: A Mathematical Odyssey

Exploring Gödel's impact on set theory and the quest for mathematical truth.

Sandra Müller, Grigor Sargsyan

2025-03-19T13:08:20+00:00 ― 8 min read

Number Theory The Fascinating World of Elliptic Curves

Discover the intriguing patterns hidden within elliptic curves and their ranks.

Jeffrey Hatley, Anwesh Ray

2025-03-19T10:28:30+00:00 ― 6 min read

Numerical Analysis The Art of Mixed Precision Computations

Balancing speed and accuracy in large systems of equations.

Alexander V. Prolubnikov

2025-03-19T05:08:50+00:00 ― 6 min read

Quantum Physics Mapping Fermions to Qubits: A Quantum Dance

Uncover the fascinating connections between fermions and qubits in quantum computing.

Mitchell Chiew, Brent Harrison, Sergii Strelchuk

2025-03-19T04:05:14+00:00 ― 7 min read

Quantum Physics The Complexity of Three-Body Physics

Dive into the challenges and insights of three-body interactions in physics.

Mikhail Egorov

2025-03-19T03:17:28+00:00 ― 5 min read

Numerical Analysis The Art of Function Approximation with Hermite Functions

Discover how Hermite functions enhance mathematical approximations.

Hao Hu, Haijun Yu

2025-03-19T02:29:00+00:00 ― 7 min read

Probability Unlocking the Secrets of Polynomial Random Matrices

Discover the impact and applications of polynomial random matrices in modern science.

Madhur Tulsiani, June Wu

2025-03-18T23:49:10+00:00 ― 7 min read

Number Theory Hecke-Mahler Series: Unraveling Special Numbers

Dive into the unique world of Hecke-Mahler series and transcendental numbers.

Florian Luca, Joel Ouaknine, James Worrell

2025-03-18T18:29:30+00:00 ― 5 min read

Quantum Physics Rethinking the Traveling Salesperson Problem with Quantum Computing

A new approach to tackle the TSP using quantum methods.

Simon Garhofer, Oliver Bringmann

2025-03-18T14:33:12+00:00 ― 5 min read

Machine Learning Transforming Perspectives: The Change of Variables in Score Functions

Learn how changing variables enhances our understanding of diverse data.

Stephen Robbins

2025-03-18T13:09:50+00:00 ― 7 min read

Numerical Analysis Mastering Nested Integration with a New Approach

A fresh method simplifies complex nested integrals for better efficiency.

Arved Bartuska, André Gustavo Carlon, Luis Espath

2025-03-18T10:30:00+00:00 ― 6 min read

Quantum Physics Tensor Networks and the No-Free-Lunch Theorem: A Deep Dive

Explore the role of tensor networks in machine learning and their limitations.

Jing-Chuan Wu, Qi Ye, Dong-Ling Deng

2025-03-18T01:16:31+00:00 ― 7 min read

Exactly Solvable and Integrable Systems The Dynamics of Hamiltonian Systems in Curved Spaces

Exploring Hamiltonian systems reveals the complexities of motion in curved environments.

Wojciech Szumiński, Adel A. Elmandouh

2025-03-18T01:01:10+00:00 ― 6 min read

Chaotic Dynamics Chaos and Fractals: The Sine-Cosine Connection

Explore the wild behaviors of the Sine-Cosine Nonlinear System Family.

Fangfang Zhang, Jinyi Ge, Cuimei Jiang

2025-03-17T20:14:34+00:00 ― 6 min read

High Energy Physics - Theory Unraveling the Mysteries of Virasoro Algebra

A look into singular vectors and their role in theoretical physics.

Gérard M T Watts

2025-03-17T16:15:44+00:00 ― 6 min read

Computer Vision and Pattern Recognition Classifying Pets: Using Math to Identify Breeds

Research uses math to classify cat and dog breeds by fur color.

Isabela M. Yepes, Manasvi Goyal

2025-03-17T15:51:10+00:00 ― 5 min read

Optimization and Control Slicing the Max-Cut Problem

A look at how different solvers tackle the Max-Cut challenge.

Jaka Vodeb, Vid Eržen, Timotej Hrga

2025-03-17T15:27:58+00:00 ― 6 min read

Data Structures and Algorithms The Quest for Diverse Solutions in SAT

Exploring the importance of finding varied solutions in Boolean Satisfiability.

Neeldhara Misra, Harshil Mittal, Ashutosh Rai

2025-03-17T14:49:12+00:00 ― 6 min read

Probability The Hidden World of Random Trees

Discover the fascinating dynamics of random trees and their crucial role in evolution.

David J. Aldous, Svante Janson

2025-03-17T10:31:30+00:00 ― 7 min read

Algebraic Geometry The Exclusive Club of Hodge Loci

Discover the fascinating world of Hodge loci and algebraic cycles.

David Urbanik

2025-03-17T07:51:40+00:00 ― 5 min read

Dynamical Systems The Dance of Partial Rigidity in Dynamical Systems

Discover how partial rigidity shapes patterns in dynamical systems over time.

Tristán Radić

2025-03-17T05:11:50+00:00 ― 7 min read

Functional Analysis Navigating the World of Function Spaces

A look into the fascinating structures of function spaces in mathematics.

Tomáš Beránek

2025-03-17T02:32:00+00:00 ― 6 min read

Latest Articles for Mathematics