Mathematics - Algebraic Geometry

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Symplectic Geometry The Magic of Mirror Symmetry in Math

Discover the hidden connections in mathematics through mirror symmetry and its fascinating concepts.

Yanki Lekili, Jenia Tevelev

2025-03-12T23:58:10+00:00 ― 5 min read

Latest Articles

Algebraic Geometry Exploring the Depths of Moduli Spaces

A glimpse into the fascinating worlds of curves and their structures.

Siddarth Kannan, Terry Dekun Song

2025-02-26T00:10:06+00:00 ― 7 min read

Algebraic Geometry Transformations in Algebraic Geometry: The Flops

Explore the fascinating world of derived categories and geometric transformations.

Wahei Hara

2025-02-23T05:44:50+00:00 ― 6 min read

Number Theory Discovering the p-adic Upper Half Plane

Dive into the fascinating world of the p-adic number system and its applications.

Patrick Erik Bradley

2025-02-23T00:25:10+00:00 ― 7 min read

Algebraic Geometry The Intrigue of Three-Dimensional Varieties

Uncovering the secrets of complex shapes in mathematics.

Olivier Benoist, Alena Pirutka

2025-02-21T13:47:20+00:00 ― 5 min read

Number Theory The Colorful World of Algebraic Varieties

Discover the playful side of algebraic varieties and their fascinating properties.

Masha Vlasenko

2025-02-21T09:30:32+00:00 ― 8 min read

Algebraic Geometry The Wonders of Moduli Spaces and Quivers

Discover the fascinating intersections of geometry, representation, and algebra in moduli spaces.

Svetlana Makarova, Junyu Meng

2025-02-19T05:50:50+00:00 ― 4 min read

Algebraic Geometry Curves and Hypersurfaces: A Mathematical Adventure

Dive into the fascinating world of curves and hypersurfaces.

Jakob Glas, Matthew Hase-Liu

2025-02-17T19:13:00+00:00 ― 6 min read

Algebraic Geometry Decoding the Discriminant: A Mathematical Adventure

Discover the secrets of discriminants and their role in polynomials.

Ed Segal

2025-02-16T21:54:20+00:00 ― 7 min read

Algebraic Geometry Exploring the Intricacies of Log-Surfaces

A deep dive into the fascinating world of log-surfaces and their complexities.

Bartosz Naskręcki, Piotr Pokora

2025-02-16T11:15:00+00:00 ― 7 min read

Algebraic Geometry Connecting Shapes: Quasimaps and Varieties

Discover the links between varieties, quasimaps, and their fascinating properties in math.

Alberto Cobos Rabano

2025-02-14T08:38:10+00:00 ― 7 min read

Number Theory Torsion Groups and Elliptic Curves

Explore the fascinating relationship between elliptic curves and torsion groups in quartic fields.

Maarten Derickx, Filip Najman

2025-02-13T21:58:50+00:00 ― 6 min read

Algebraic Geometry Quantum Cohomology and Fano Varieties: A Mathematical Journey

Explore the connections between quantum cohomology and Fano varieties in mathematics.

Junyu Meng

2025-02-13T16:39:10+00:00 ― 8 min read

Algebraic Geometry The Magic of Normal Split Divisors in Geometry

Discover the importance of normal split divisors and their role in geometry.

Enrica Floris, Andreas Höring

2025-02-13T11:19:30+00:00 ― 6 min read

Algebraic Geometry Unraveling the Mysteries of Trigonal Curves

Discover the fascinating world of trigonal curves in algebraic geometry.

V. I. Zvonilov

2025-02-12T22:00:20+00:00 ― 7 min read

Algebraic Geometry K-Stability: The Key to Understanding Fano Varieties

Discover the importance of K-stability in the world of mathematics and geometry.

Yuchen Liu, Chuyu Zhou

2025-02-12T16:40:40+00:00 ― 6 min read

Algebraic Geometry K-Moduli: The Party of Mathematical Stability

Discover the world of K-moduli and log Fano pairs through stability concepts.

Yuchen Liu, Chuyu Zhou

2025-02-12T14:00:50+00:00 ― 6 min read

Algebraic Geometry Understanding Perverse Sheaves and Their Applications

A guide to complex mathematical concepts made simple and relatable.

Nikita Markarian

2025-02-12T11:21:00+00:00 ― 7 min read

Combinatorics The Hidden World of Totally Positive Skew-Symmetric Matrices

Discover the unique properties and applications of totally positive skew-symmetric matrices.

Jonathan Boretsky, Veronica Calvo Cortes, Yassine El Maazouz

2025-02-09T11:25:30+00:00 ― 6 min read

Algebraic Geometry The Art of Grassmannian Flops in Geometry

Discover the intriguing world of Grassmannian flops and their geometric significance.

Ying Xie

2025-02-09T00:46:10+00:00 ― 5 min read

Algebraic Geometry The Fascination of Weyl Groups in Mathematics

Explore the significance and applications of Weyl groups in understanding symmetry.

Sebastian Debus, Tobias Metzlaff

2025-02-07T16:48:10+00:00 ― 7 min read

Algebraic Geometry Breaking Down Tensor T-Structures and Weight Structures

A simple guide to complex mathematical concepts using relatable analogies.

Gopinath Sahoo

2025-02-06T11:30:00+00:00 ― 7 min read

Algebraic Geometry Rational Quartic Curves: The Geometry of Elegance

Explore the fascinating world of rational quartic curves and their mathematical significance.

Kiryong Chung, Jaehyun Kim, Jeong-Seop Kim

2025-02-06T00:50:40+00:00 ― 7 min read

Algebraic Geometry K-Stability: The Key to Fano Manifolds

Discover the significance of K-stability in complex geometry and Fano manifolds.

Tiago Duarte Guerreiro, Luca Giovenzana, Nivedita Viswanathan

2025-02-01T16:57:10+00:00 ― 6 min read

Combinatorics The Hidden World of Hurwitz Numbers

Discover the fascinating role of Hurwitz numbers in math and science.

Nitin Kumar Chidambaram, Maciej Dołęga, Kento Osuga

2025-01-30T12:52:18+00:00 ― 4 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

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

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 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

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

Algebraic Geometry Del Pezzo Surfaces: A Mathematical Marvel

Discover the beauty and complexity of del Pezzo surfaces in algebraic geometry.

Karol Palka, Tomasz Pełka

2025-01-20T22:34:50+00:00 ― 6 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