Abstract: 

In this talk I will give a brief overview of my current research on questions that lie in the intersection of Iwasawa theory and arithmetic statistics.

The first part of this talk will be expository in nature, where I will give an introduction to Iwasawa theory and explain the main questions that drive a lot of the research in this area. In the second part of the talk, I will discuss some of the progress made towards questions on the average behaviour of Iwasawa invariants – both the classical Iwasawa invariants and Iwasawa invariants of Selmer groups of elliptic curves.

About the Speaker:

Dr Debanjana Kundu graduated with a dual BS-MS degree in mathematics from IISER Mohali in 2015, where she completed her masters thesis under the guidance of Prof. IBS Passi. She obtained here Ph.D from the University of Toronto under the supervision of Prof. Kumar Murty in June 2020. Subsequently, she was a postdoctoral fellow at CRM Montreal and held a PIMS Postdoctoral Fellowship at UBC, Vancouver where her mentor was Prof. R. Sujatha. Since January 2023, she has been affiliated with the Fields Institute in Toronto.