Jim Wolper: Research
My training is in algebraic geometry (PhD, Brown, 1981), but I also
have significant background in computer science amd subjects related to
aviation. I have a strong interest in applications of algebraic
geometry and representation theory in coding and cryptography.
Information Theoretic Schottky Problem
I am studying the statistical properties of period matrices of
complex algebraic curves to determine to what extent the distribution
of the periods determines (1) whether the matrix is in fact a period
matrix [Schottky Problem] and (2) properties of the curve [Torelli
Problem].

Compressed Sensing and Moduli of Riemann Surfaces,
in preparation.

A Torellilike Theorem for smooth plane curves
on the arXiv, and submitted to
Proceedings of the
Japan Academy, Series A.

"Numerical experiments related to the informationtheoretic
Schottky and Torelli problems,"
Albanian Journal of Mathematics
[Special issue on computational algebraic geometry],
(6), No.1 (2012)

Computational Complexity of Quadrature Rules
.
Colloquium slides (PDF).
 Information Theoretic Schottky Problem.
I am studying the statistical properties of period matrices of
complex algebraic curves to determine to what extent the distribution
of the periods determines (1) whether the matrix is in fact a period
matrix [Schottky Problem] and (2) properties of the curve [Torelli
Problem].
 Theta Divisors in Moduli Spaces of Vector Bundles and Automorphism Groups of Curves. I have several results in this direction, but the project is not mature enough to be written up.
 Using Turbulence to Fly Faster. A development of and analysis of "relative dolphin flight" for powered aircraft. Slides from a talk (PDF).
Other Projects
 Linear Codes from Schubert Varieties. Much of
this is joint work with Sudhir Ghorpade.
 Analytic Computation of Some Automorphism Groups of Riemann
Surfaces,
Kodai Mathematical Journal,
30 (2007), 394 – 408.
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If you send me something that resembles a canned meat product of the
Hormel Corporation, remember that you are what you send.
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updated 6 June 2013