128 citations · 887 across the 36 of their papers we have counts for
37 papers
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…
Machine Learning the Dimension of a Polytope
Tom Coates, Johannes Hofscheier, Alexander Kasprzyk
We use machine learning to predict the dimension of a lattice polytope directly from its Ehrhart series. This is highly effective, achieving almost 100% accuracy. We also use machi…
Databases of quantum periods for Fano manifolds
Tom Coates, Alexander M. Kasprzyk
Fano manifolds are basic building blocks in geometry - they are, in a precise sense, atomic pieces of shapes. The classification of Fano manifolds is therefore an important problem…
Unwinding toric degenerations and mirror symmetry for Grassmannians
Tom Coates, Charles Doran, Elana Kalashnikov
The most fundamental example of mirror symmetry compares the Fermat hypersurfaces in P^n and P^n/G, where G is a finite group that acts on P^n and preserves the Fermat hypersurface…
The Abelian/non-Abelian Correspondence and Gromov-Witten Invariants of Blow-ups
Tom Coates, Wendelin Lutz, Qaasim Shafi
We prove the Abelian/non-Abelian Correspondence with bundles for target spaces that are partial flag bundles, combining and generalising results by Ciocan-Fontanine-Kim-Sabbah, Bro…
Maximally Mutable Laurent Polynomials
Tom Coates, Alexander M. Kasprzyk, Giuseppe Pitton +1
We introduce a class of Laurent polynomials, called maximally mutable Laurent polynomials (MMLPs), that we believe correspond under mirror symmetry to Fano varieties. A subclass of…