Daniel E. Platt

activity

20202026

most citedGroup invariant machine learning by fundamental domain projections

2 citations · 3 across the 7 of their papers we have counts for

collaborators

Showing 2022Show all

4 papers · 1 filter

math.AG2022★ 1 cited

K3 surfaces with two involutions and low Picard number

Dino Festi, Wim Nijgh, Daniel Platt

Let $X$ be a complex algebraic K3 surface of degree $2 d$ and with Picard number $ρ$ . Assume that $X$ admits two commuting involutions: one holomorphic and one anti-holomorphic. In…

math.DG2022

$G_{2}$ -instantons on resolutions of $G_{2}$ -orbifolds

Daniel Platt

We explain a construction of $G_{2}$ -instantons on manifolds obtained by resolving $G_{2}$ -orbifolds. This includes the case of $G_{2}$ -instantons on resolutions of $T^{7} /Γ$ as a special…

cs.LG2022★ 2 cited

Group invariant machine learning by fundamental domain projections

Benjamin Aslan, Daniel Platt, David Sheard

We approach the well-studied problem of supervised group invariant and equivariant machine learning from the point of view of geometric topology. We propose a novel approach using…

math.DG2022

Associative submanifolds in Joyce's generalised Kummer constructions

Shubham Dwivedi, Daniel Platt, Thomas Walpuski

This article constructs examples of associative submanifolds in $G_{2}$ -manifolds obtained by resolving $G_{2}$ -orbifolds using Joyce's generalised Kummer construction. As the $G_{2}$ -ma…

K3 surfaces with two involutions and low Picard number

G2​-instantons on resolutions of G2​-orbifolds

Group invariant machine learning by fundamental domain projections

Associative submanifolds in Joyce's generalised Kummer constructions

$G_{2}$ -instantons on resolutions of $G_{2}$ -orbifolds