Research and an appreciation for modular forms and related topics. The goal is that everyone will leave with a taste of mathematical The occasional impromptu lecture when questions come up. Projects, to groups of 2-3 students, related to these topics, and ourĬlass meetings will be more of a discussion of results, with Majority of the course will be more informal - I will assign research Way to build an intuition for these mathematical objects). (including many which require the use of the computer - an excellent For the first third of theĬourse I will lecture about these topics and assign interesting but This course is both an opportunity to get aquainted with ellipticĬurves, modular forms, and Galois representations and a gentle TheyĪre also typically not the topics of undergraduate courses. Topics of many cornerstone results in number theory and of many open conjectures. Singularly central objects of mathematical study and are the
Math 490, Spring 2011 Curl (Collaborative Undergraduate Research Lab)Īn introduction to mathematical research Elliptic curves, modular forms, and Galois representations are
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