57 citations · 91 across the 9 of their papers we have counts for
9 papers
Serre Duality, Abel's Theorem, and Jacobi Inversion for Supercurves Over a Thick Superpoint
Mitchell J. Rothstein, Jeffrey M. Rabin
The principal aim of this paper is to extend Abel's theorem to the setting of complex supermanifolds of dimension 1|q over a finite-dimensional local supercommutative C-algebra. Th…
D-modules on 1|1 Supercurves
Mitchell J. Rothstein, Jeffrey M. Rabin
It is known that to every 1|1 dimensional supercurve X there is associated a dual supercurve \hat{X}, and a superdiagonal Δin their product. We establish that the categories of D-m…
Parametrized vector fields and the zero-curvature condition
Mitchell Rothstein
We apply the notion of parametrized vector field on a manifold M, where the parameters are also in M, to the study of the zero-curvature condition that arises in the context of int…
The geometry of quantum learning
Markus Hunziker, David A. Meyer, Jihun Park +2
Concept learning provides a natural framework in which to place the problems solved by the quantum algorithms of Bernstein-Vazirani and Grover. By combining the tools used in these…
Dynamics of the Krichever construction in several variables
Mitchell Rothstein
The Krichever construction in one variable, that is, for spectral curves, linearizes the KdV-hierarchy on the jacobian of the curve. We carry out an appropriate generalization of t…
Fourier transform for D-algebras
Alexander Polishchuk, Mitchell Rothstein
We construct a version of Fourier transform for a class of non-commutative algebras over abelian varieties which include algebras of twisted differential operators generalizing the…