Álvaro Lozano-Robledo alozano -@- math.uconn.edu Assistant Professor of Mathematics Associate Director of the Quantitative Learning Center Office: MSB-312

Professional Info. Teaching Alg. Number Theory Home

Thesis: On elliptic units and p-adic Galois representations attached to elliptic curves. Abstract. Boston University, May 2004. Thesis Advisor: David E. Rohrlich. Algebraic Number Theory I keep a page on Algebraic Number Theory at Planetmath.org. Values of the Dedekind Zeta function at negative integers. Elliptic Curves (examples and more): Definitions I keep a page on the arithmetic of elliptic curves at Planetmath.org. “Finding points on Elliptic Curves: VERY explicit methods ” dvi   .ps   .pdf  High Rank Constructing elliptic curves over Q(t) with moderate rank, (joint with Scott Arms and Steven J. Miller), 11 pages, submitted (pdf). Some old examples: Elliptic curves of high rank Mordell Curves of high rank High rank and Torsion elliptic curves Examples of all possible torsion subgroups . Complex Multiplication A list of Elliptic Curves with Complex Multiplication and defined over the rationals. PARI and Magma code "cmcurves.gp", List of Elliptic Curves with CM and defined over Q. "bswinfo.m", Magma code to find the order of Sha, analytically. Class Numbers and Class Groups I keep a page on class numbers, class groups and discriminants on Planetmath.org.