MATH-511 / 5 credits

Teacher: Viazovska Maryna

Language: English


Summary

In this course we will introduce core concepts of the theory of modular forms and consider several applications of this theory to combinatorics, harmonic analysis, and geometric optimization.

Content

Keywords

Modular forms, Modular group, linear frantional transformations, theta functions

Learning Prerequisites

Required courses

Complex analysis

Fourier analysis

Recommended courses

Algebraic topology, classification of comp[act surfaces

Assessment methods

Oral

In the programs

  • Semester: Spring
  • Exam form: Oral (summer session)
  • Subject examined: Number theory II.a - Modular forms
  • Lecture: 2 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Type: optional
  • Semester: Spring
  • Exam form: Oral (summer session)
  • Subject examined: Number theory II.a - Modular forms
  • Lecture: 2 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Type: optional
  • Semester: Spring
  • Exam form: Oral (summer session)
  • Subject examined: Number theory II.a - Modular forms
  • Lecture: 2 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Type: optional

Reference week

 MoTuWeThFr
8-9     
9-10     
10-11     
11-12     
12-13     
13-14     
14-15     
15-16     
16-17     
17-18     
18-19     
19-20     
20-21     
21-22     

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