89 citations · 735 across the 47 of their papers we have counts for
47 papers
Machine learning discovers new champion codes
Yang-Hui He, Alexander Kasprzyk, Q Le +1
Linear error-correcting codes form the mathematical backbone of modern digital communication and storage systems, but identifying champion linear codes (linear codes achieving or e…
Machine learning detects terminal singularities
Tom Coates, Alexander M. Kasprzyk, Sara Veneziale
Algebraic varieties are the geometric shapes defined by systems of polynomial equations; they are ubiquitous across mathematics and science. Amongst these algebraic varieties are Q…
Machine learning the dimension of a Fano variety
Tom Coates, Alexander M. Kasprzyk, Sara Veneziale
Fano varieties are basic building blocks in geometry - they are `atomic pieces' of mathematical shapes. Recent progress in the classification of Fano varieties involves analysing a…
Mirror Symmetry, Laurent Inversion and the Classification of -Fano Threefolds
Tom Coates, Liana Heuberger, Alexander M. Kasprzyk
We describe recent progress in a program to understand the classification of three-dimensional Fano varieties with -factorial terminal singularities using mirror symmet…
On K-moduli of quartic threefolds
Hamid Abban, Ivan Cheltsov, Alexander Kasprzyk +2
The family of smooth Fano 3-folds with Picard rank 1 and anticanonical volume 4 consists of quartic 3-folds and of double covers of the 3-dimensional quadric branched along an octi…
Toric Sarkisov links of toric Fano varieties
Gavin Brown, Jarosław Buczyński, Alexander Kasprzyk
We explain a web of Sarkisov links that overlies the classification of Fano weighted projective spaces in dimensions 3 and 4, extending results of Prokhorov.