Webinar: The Circle Method: 102 Not Out by Dr. Kaneenika Sinha (IISER Pune)

Gonit Sora is organizing a webinar to be delivered by Dr. Kaneenika Sinha of the Indian Institute of Science Education and Research, Pune. The details are given below.

Date: 27 September, 2020 (Sunday)

Time: 4 pm IST (note the unusual time)

Title: The Circle Method: 102 Not Out

Abstract: In a phenomenal 1918 paper, G. H. Hardy and Srinivasa Ramanujan outlined a method to estimate the number of “partitions” of large natural numbers, that is, the number of ways of writing a number as sums of smaller natural numbers.  After Ramanujan’s unfortunate early demise, this method was developed by Hardy and Littlewood into what is now called the circle method in common parlance.  Hardy and Littlewood used this method, for example, to obtain an asymptotic formula for the number of ways a natural number can be written as a sum of k-th powers of smaller natural numbers.

The circle method also addresses other important problems in mathematics, for example, a famous conjecture of Goldbach which says that any natural number >1 can be written as a sum of at most three prime numbers.  The key idea of the circle method is to convert an additive problem into estimating what are called “exponential sums” at special points on a circle.  In this talk, we will discuss the ideas behind the circle method and applications to various additive problems.

About the Speaker: Dr. Kaneenika Sinha is an Associate Professor of Mathematics at the Indian Institute of Science Education and Research (IISER), Pune. She did her PhD at Queen’s University, Canada after which she held positions at the University of Toronto, University of Alberta, Mathematical Sciences Research Institute (MSRI) Berkeley and IISER Kolkata before moving to IISER Pune. Her research interests are in analytic number theory and arithmetic statistics of modular forms. She has also published expository articles on number theory as well as her research work in The Hindu, The Indian Express and others.

The talk will be suitable for a general audience (college students are specially welcome), and will be held online via Zoom. It will also be livestreamed on our Facebook page.

All our talks are recorded and the recording is made available on our YouTube channel later.

If there are any questions, comments, criticisms or suggestions then please feel free to email us at [email protected].

e-Certificates will be issued to participants who attend the talk on Zoom.

If you have already registered for any webinar by Gonit Sora in the past, you need not register again, you are already in our mailing lists (unless you have told us to remove you). For those who have not registered before, you need to register at the link below.

Please read the rules of the Zoom meeting at this link, before you register. Due to a high volume of registration and emails, we will not answer queries which are already addressed in the rules.

To register submit the form at this link (meeting details are usually sent one day before the event).

A list of all past and future webinars are available at this link.


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