Research

Mathematical Sciences

Title :

Harmonic Mass forms and mock modular forms

Area of research :

Mathematical Sciences

Focus area :

Modular Forms and Number Theory

Principal Investigator :

Dr. Karam Deo Shankhadhar, Indian Institute Of Science Education And Research (IISER) Bhopal, Madhya Pradesh

Timeline Start Year :

2024

Timeline End Year :

2027

Contact info :

Details

Executive Summary :

There are several interesting research problems in the theory of harmonic Maass and mock modular forms which are needed to be explored. In particular, we investigate the followings: (1) Fourier coefficients of mock modular forms (2) L-functions attached to harmonic Maass forms (3) Hecke theory and Shimura lifts of harmonic Maass forms.

Total Budget (INR):

6,60,000

Organizations involved