The PIMS Postdoctoral Fellow Seminar: Debanjana Kundu

The congruent number problem is the following question. Consider a right-angled triangle; what natural numbers can arise from its area, all of whose sides have lengths that are rational numbers? Though this question is easy to frame, it is related to a Clay millennium problem, the Birch and Swinnerton-Dyer (BSD) conjecture for elliptic curves. This conjecture is known in a few special cases, and Iwasawa theory provides a framework for attacking this conjecture in a systematic way. Though we are still very far off from resolving the BSD conjecture, Iwasawa theory itself has been growing as a subject. In my talk, I will introduce the broad subject of Iwasawa theory; and spend considerable time discussing the Iwasawa theory of elliptic curves. Towards the end, I will briefly talk about my research on growth of fine Selmer groups in towers of number fields.

Speaker Biography: 

I am Debanjana Kundu, a PIMS Postdoctoral Fellow at UBC, Vancouver working with Prof. Sujatha Ramdorai. I earned my PhD from the University of Toronto in June 2020. I am interested in number theory, in particular, Iwasawa theory. Other areas of number theory that interest me include arithmetic statistics and Langlands' Beyond Endoscopy. When not math-ing, I love to read fiction! 

This event is part of the Emergent Research: The PIMS Postdoctoral Fellow Colloquium Series.

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