Algebraic geometry has long provided a deep framework for understanding the solutions of polynomial equations through geometric lenses. In recent years, tropical geometry – a relatively young field – ...

One of the most prestigious awards in science is the "Nobel Prize". There is no need to explain this award in detail here, but you might know that mathematics is not included in its fields. One theory ...

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 ...

The field of algebraic geometry investigates the profound interplay between polynomial equations and geometric structures, providing a rich framework that unites abstract theory with practical ...

Abstract: We introduce the first geometric construction of codes in the sum-rank metric, which we called linearized Algebraic Geometry codes, using quotients of the ring of Ore polynomials with ...

Moduli spaces of curves and abelian varieties, tautological classes, Siegel and Teichmüller modular forms, and their relation to the cohomology of moduli spaces, linear orbits of plane curves ...

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 ...