2 citations · 3 across the 3 of their papers we have counts for
6 papers
On the importance of illustration for mathematical research
Rémi Coulon, Gabriel Dorfsman-Hopkins, Edmund Harriss +3
Mathematical understanding is built in many ways. Among these, illustration has been a companion and tool for research for as long as research has taken place. We use the term illu…
Deformation Spaces and Static Animations
Gabriel Dorfsman-Hopkins
We study applications of 3D printing to the broad goal of understanding how mathematical objects vary continuously in families. To do so, we model the varying parameter as the vert…
Searching for Rigidity in Algebraic Starscapes
Gabriel Dorfsman-Hopkins, Shuchang Xu
We create plots of algebraic integers in the complex plane, exploring the effect of sizing the integers according to various arithmetic invariants. We focus on Galois theoretic inv…
Untilting Line Bundles on Perfectoid Spaces
Gabriel Dorfsman-Hopkins
Let be a perfectoid space with tilt . We construct a canonical map where the (inverse) limit is taken over th…
On Picard Groups of Perfectoid Covers of Toric Varieties
Gabriel Dorfsman-Hopkins, Anwesh Ray, Peter Wear
Let be a proper smooth toric variety over a perfectoid field of prime residue characteristic . We study the perfectoid space which covers constructe…
Projective Geometry for Perfectoid Spaces
Gabriel Dorfsman-Hopkins
To understand the structure of an algebraic variety we often embed it in various projective spaces. This develops the notion of projective geometry which has been an invaluable too…