Hints and tips:
  • You may need to look up some unfamiliar terms in the title or description to get more of a sense of what is involved.
  • If the project has "No" in the "Current Availability:" field, it is already taken or not being offered this academic year but may be available again in future years.
  • The supervisor name links to a contact details webpage so, if you are interested, you can arrange to discuss this project or even propose a related topic of your own.
Level: MSci, MSc
Title: Analytic aspects of modular forms
Supervisor:

Dr Abhishek Saha
Research Area: Algebra
Description:

Modular forms are complex analytic functions that are extremely important to modern number theory. The theory of modular forms have played an essential role in the solution of many important problems, such as Fermat's last theorem. This project will start from the basics and lead to some interesting questions. In particular, we will see how large a modular form can get.
Further Reading:
Key Modules:

MTH5103 Complex Variables (essential)

MTH6104 Algebraic Structures II or MTH714U/MTHM024 Group Theory (essential)

MTH5105 Differential and Integral Analysis (desirable)

MTH6128 Number Theory (desirable)
Other Information:
Current Availability: Yes