Event date:
Nov 1 2021 4:00 pm

Moonshine and Arithmetic

Speaker(s)
Dr. Maryam Khaqan
Venue
Zoom/Online
Abstract
Moonshine began as a series of numerical coincidences connecting finite groups to modular forms but has since evolved into a rich theory that illuminates the underlying algebraic structures that these coincidences reflect. In the first half of this talk, I will give a brief history of moonshine, describe some of the existing examples of the phenomenon in the literature, and discuss how my work fits into the story. With my remaining time, I will showcase how we can use the aforementioned instance of moonshine to shed light on objects central to current research in number theory.

Moonshine began as a series of numerical coincidences connecting finite groups to modular forms but has since evolved into a rich theory that illuminates the underlying algebraic structures that these coincidences reflect.

In the first half of this talk, Dr. Maryam will give a brief history of moonshine, describe some of the existing examples of the phenomenon in the literature, and discuss how her work fits into the story. Later, she will showcase how to use the aforementioned instance of moonshine to shed light on objects central to current research in number theory.  

Please join via Zoom meeting link: https://zoom.us/j/97379855766    

 

About the Speaker: 

Dr. Maryam Khaqan (Stockholm University, Sweden) has her research interests in modular forms, elliptic curves, and moonshine. She obtained her PhD from in 2021 from the Emory University under the supervision of John Duncan. She is more broadly interested in number theory, algebra, geometry, and mathematical physics.  Dr. Maryam Khaqan is also a LUMS alumni.

 

Please see seminar series link below for details,        

https://sites.google.com/view/conway-spirited-math-seminars/home