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Indian Institute of Science Education and Research Berhampur


MTH 519: Introduction to Modular Forms (4)

Pre-requisites (Desirable): MTH 407: Complex Analysis I

Learning Objectives:

The aim of this course is to introduce the theory of modular forms with minimal prerequisites. The course is intended for the students who have done the standard courses in Linear Algebra and Complex Analysis. The results and techniques from these courses will be used to understand the space of modular forms and hence the students will solidify their understandings of some basic tools learned throughout mathematics. Numerous examples of modular forms will be given which are useful in solving some classical problems in number theory. The purpose is to make the modular form theory accessible without going into the advanced algebraically oriented treatments of the subject. At the same time this course introduces the topics which are at the forefront of the current research.

Course Contents:

Suggested Books:

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