Eric Errthum

Research

·       arXiv preprint: Minimal Polynomials of Singular Moduli (Winter 2011)

·       Department Seminar Talk: Learning Your ABC- (Spring 2009) (tex source file) (Data file containing the extension fields, minimal polynomials, and algebraic ABC ratio of singular moduli on the Shimura curve of discriminant 6. Feel free to email me for more information about this data and how it was created.)

·         North Central Section MAA Talk: Finding Minimal Polynomials with a Norm Calculator - (Fall 2008) (tex source file)

·         Seminar talk based on my thesis research: Singular Moduli of Shimura Curves - (Spring 2008) (tex source file)

·       arXiv preprint: Singular Moduli of Shimura Curves (Fall 2007)

·         My thesis: Singular Moduli of Shimura Curves - (Spring 2007)

·         Job talk: Finding Solutions on the Curve: Number Theory via Geometry - (Winter 2007)

·         Graduate Student Conference Talk: Constructing Vector-Valued Modular Forms From Scalar Ones - (Fall 2006)

·         Oral exam slides: On Gross's paper "Heights and the Special Values of L-Series" - (Spring 2005)

·         Cryptography RIT presentation: Bilinear Pairings in Cryptography - (Fall 2003)

·         Technical Report: Weil Pairing vs. Tate Pairing in IBE Systems - (Fall 2003)

·         Chaos Class paper: A Survey of the Dynamical Approaches to the 3n+1 Problem - (Spring 2003)

(The slides to the corresponding presentation. WARNING: These slides are image heavy.)

Mathematical Software Demos

·         My contributions to The Wolfram Demonstrations Project

Miscellaneous Mathematical Writings

·         My Topology Take-Home Final - (Fall 2003)

·         Manifolds - (Spring 2002)

·         History of Mathematics Essays - (Summer 2001)