How can the behavior of elementary particles and the structure of the entire universe be described using the same mathematical concepts? This question is at the heart of the recent work by ...

Algebraic geometry and the theory of complex manifolds together form a foundational pillar of modern mathematics, interweaving geometric intuition with algebraic precision. Algebraic geometry studies ...

This is a topics course in continuation of MAT4215 – Algebraic Geometry II. The content varies between different current fields of research and covers both advanced methods and topics. Examples of ...

Columbia professor Johan de Jong has spent the last 15 years gathering the foundational theorems of algebraic geometry in one place. His creation, the Stacks Project, offers a new model for organizing ...

Ask the publishers to restore access to 500,000+ books. An icon used to represent a menu that can be toggled by interacting with this icon. A line drawing of the Internet Archive headquarters building ...

Algebraic geometry is a classical subject with a modern face that studies geometric objects defined by polynomial equations in several variables. The course introduces the basic objects in algebraic ...

James Dolan and I have spent the last year or so talking about algebraic geometry, trying to learn the basics. Algebraic geometry should be a lot of fun for category theorists — after all, this is the ...

“THIS volume is the first part of a work designed it provide a convenient account of the foundations and methods of modem algebraic geometry.” These words from the authors' preface explain the scope ...

Abstract: In this paper, we propose a novel construction for secure distributed matrix multiplication (SDMM) based on algebraic geometry (AG) codes, which we call the PoleGap SDMM scheme. The proposed ...

Matroid theory is a way mathematicians describe the property of independence in a space, with uses across mathematics, physics, computer science and more. Carnegie Mellon University Mathematician ...