Publications (24)
Real Lagrangians in Calabi-Yau Threefolds
Hülya Argüz, Thomas Prince
We compute the mod cohomology groups of real Lagrangians in Calabi-Yau threefolds using well-behaved torus fibrations constructed by Gross. To do this we study a long exact seq…
Circumstellar interaction in the extreme white dwarf merger remnant ZTF\,J1901+1458: A new class of white dwarf merger remnants with X-ray emission
Aayush Desai, Ilaria Caiazzo, Stephane Vennes +31
Double degenerate white dwarf (WD) mergers can exhibit extreme magnetic fields exceeding G and rapid rotation, but their spectral-energy distributions and high-energy emis…
Deep learning to improve the discovery of near-Earth asteroids in the Zwicky Transient Facility
Belén Yu Irureta-Goyena, George Helou, Jean-Paul Kneib +7
We present a novel pipeline that uses a convolutional neural network (CNN) to improve the detection capability of near-Earth asteroids (NEAs) in the context of planetary defense. O…
Polygons of Finite Mutation Type
Thomas Prince
We classify Fano polygons with finite mutation class. This classification exploits a correspondence between Fano polygons and cluster algebras, refining the notion of singularity c…
Smoothing Toric Fano Surfaces Using the Gross-Siebert Algorithm
Thomas Prince
A toric del Pezzo surface with cyclic quotient singularities determines and is determined by a Fano polygon . We construct an affine manifold with singularities that parti…
A half-ring of ionized circumstellar material trapped in the magnetosphere of a white dwarf merger remnant
Andrei A. Cristea, Ilaria Caiazzo, Tim Cunningham +31
Many white dwarfs are observed in compact double white dwarf binaries and, through the emission of gravitational waves, a large fraction are destined to merge. The merger remnants…
The Birational Geometry of Ceva's Theorem
Thomas Prince
In this article we study Ceva's theorem and its higher-dimensional extensions from the perspective of algebraic and projective geometry. First, we situate the theorem within the st…
On the cohomology groups of real Lagrangians in Calabi-Yau threefolds
Hülya Argüz, Thomas Prince
The quintic threefold is the most studied Calabi-Yau -fold in the mathematics literature. In this paper, using Äech-to-derived spectral sequences, we investigate the mod $2…
The IPAC Image Subtraction and Discovery Pipeline for the intermediate Palomar Transient Factory
Frank Masci, Russ Laher, Umaa Rebbapragada +17
We describe the near real-time transient-source discovery engine for the intermediate Palomar Transient Factory (iPTF), currently in operations at the Infrared Processing and Analy…
Mutation equivalence of toric Landau-Ginzburg models
Thomas Prince
Given a Fano complete intersection defined by sections of a collection nef line bundles on a Fano toric manifold , a construction of Givental/Hori-Vafa provide…
Mirror Symmetry and the Classification of Orbifold del Pezzo Surfaces
Mohammad Akhtar, Tom Coates, Alessio Corti +6
We state a number of conjectures that together allow one to classify a broad class of del Pezzo surfaces with cyclic quotient singularities using mirror symmetry. We prove our conj…
The Physics of Mass Transfer in Substellar and Low-Mass Binaries
Samuel Whitebook, Jim Fuller, Kevin Burdge +3
Several dozen binary ultracool and brown dwarf systems have been identified to date. These systems represent valuable probes of star and planet formation at the lowest mass scales.…
Cracked Polytopes and Fano Toric Complete Intersections
Thomas Prince
We introduce the notion of cracked polytope, and - making use of joint work with Coates and Kasprzyk - construct the associated toric variety as a subvariety of a non-singular…
Smoothing Calabi-Yau toric hypersurfaces using the Gross-Siebert algorithm
Thomas Prince
We explain how to form a novel dataset of simply connected Calabi-Yau threefolds via the Gross-Siebert algorithm. We expect these to degenerate to Calabi-Yau toric hypersurfaces wi…
A Note on Schoen's Calabi--Yau Threefolds
Hülya Argüz, Thomas Prince
We study the topology of a real Lagrangian in Schoen's Calabi--Yau threefold and compute its mod cohomology using two methods; first via a concrete Mayer--Vietoris calculat…
A Mass Transferring Brown Dwarf Binary on a 57 Minute Orbit
Samuel Whitebook, Antonio C. Rodriguez, Kevin Burdge +9
Mass transfer in stellar binaries has been well studied in most stellar mass ranges, with the notable exception of ultracool stars and substellar brown dwarfs. We report the discov…
Four-dimensional Fano toric complete intersections
Tom Coates, Alexander Kasprzyk, Thomas Prince
We find at least 527 new four-dimensional Fano manifolds, each of which is a complete intersection in a smooth toric Fano manifold.
The Tropical Superpotential For
Thomas Prince
We present an extended worked example of the computation of the tropical superpotential considered by Carl--Pumperla--Siebert. In particular we consider an affine manifold associat…
Del Pezzo surfaces with a single 1/k(1,1) singularity
Daniel Cavey, Thomas Prince
Inspired by the recent progress by Coates-Corti-Kasprzyk et al. on Mirror Symmetry for del Pezzo surfaces, we show that for any positive integer k the deformation families of del P…
Laurent Inversion
Tom Coates, Alexander Kasprzyk, Thomas Prince
We describe a practical and effective method for reconstructing the deformation class of a Fano manifold X from a Laurent polynomial f that corresponds to X under Mirror Symmetry.…
From Cracked Polytopes to Fano Threefolds
Thomas Prince
We construct Fano threefolds with very ample anti-canonical bundle and Picard rank greater than one from cracked polytopes - polytopes whose intersection with a complete fan forms…
Laurent Inversion
Tom Coates, Alexander Kasprzyk, Thomas Prince
There are well-understood methods, going back to Givental and Hori--Vafa, that to a Fano toric complete intersection X associate a Laurent polynomial f that corresponds to X under…
Lagrangian torus fibration models of Fano threefolds
Thomas Prince
Inspired by the work of Gross on topological Mirror Symmetry we construct candidate Lagrangian torus fibration models for the 105 families of smooth Fano threefolds. We prove, in t…
Minimality and mutation-equivalence of polygons
Alexander Kasprzyk, Benjamin Nill, Thomas Prince
We introduce a concept of minimality for Fano polygons. We show that, up to mutation, there are only finitely many Fano polygons with given singularity content, and give an algorit…