7 papers
Schwarz maps for modular curves
Yaacov Kopeliovich, Camilo Sanabria Malagón
We solve a classical problem posed by F. Klein and studied by A. Hurwitz concerning the construction of linear ordinary differential equations associated with modular transformatio…
-Adic Functions for Cyclic Mumford Curve
Yaacov Kopeliovich
We express the branch points cross ratio of cyclic Mumford curves as quotients of -adic theta functions evaluated at the p-adic period matrix
The fundamental group of compact Riemann surface
Yaacov Kopeliovich
We derive presentation and relations for a group of compact Riemann surface that is given as branched cover of the sphere. In the case that one of the permutations is of full cycle…
The Fundamental Group of a Compact Riemann Surface via Branched Covers
Meirav Amram, Michael Chitayat, Yaacov Kopeliovich
Let be a compact Riemann surface of genus and let . We derive the classical presentation of (i.e the one given by generators $a_1,b_1, \dots, a_g,…
Algebraic solution of the Jacobi inverse problem and explicit addition laws
Yaacov Kopeliovich
We formulate a solution to the Algebraic version of the Inverse Jacobi problem. Using this solution we produce explicit addition laws on any algebraic curve generalizing the law su…
Portfolio Optimization with Feedback Strategies Based on Artificial Neural Networks
Yaacov Kopeliovich, Michael Pokojovy
With the recent advancements in machine learning (ML), artificial neural networks (ANN) are starting to play an increasingly important role in quantitative finance. Dynamic portfol…