38 citations · 127 across the 19 of their papers we have counts for
20 papers
Universal Deformations of a Curve and a Differential
Emma Carberry, Martin Ulrich Schmidt
We construct universal local deformations (Kuranishi families) for pairs consisting of a compact complex curve and a meromorphic 1-form. Each pair is assumed to be locally planar,…
The space of genus two spectral curves of constant mean curvature tori in
Emma Carberry, Martin Kilian, Sebastian Klein +1
We use Whitham deformations to give a complete account of spectral data of real solutions of the sinh--Gordon equation of spectral genus 2. We parameterise the closure of spectral…
Burchnall-Chaundy Theory
Sebastian Klein, Eva Lübcke, Martin Ulrich Schmidt +1
The Burchnall-Chaundy theory concerns the classification of all pairs of commuting ordinary differential operators. We phrase this theory in the language of spectral data for integ…
Functorial Approach to Graph and Hypergraph Theory
Martin Schmidt
We provide a new approach to categorical graph and hypergraph theory by using categorical syntax and semantics. For each monoid and action on a set , there is an associated…
Injectives Hulls and Projective Covers in Categories of Generalized Uniform Hypergraphs
Martin Schmidt
We construct injective hulls and projective covers in categories of generalized uniform hypergraphs which generalizes the constructions in the category of quivers and the category…
Exponential Objects in Categories of Generalized Uniform Hypergraphs
Martin Schmidt
We construct exponential objects in categories of generalized uniform hypergraphs and use embeddings induced by nerve-realization adjunctions to show why conventional categories of…