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photo courtesy of Melissa Totman

About me:

I'm now an assistant professor of Mathematics at the Chennai Mathematical Institute in India.

 

I obtained my Phd at Cornell University in 2020, after which I was a postdoc at the University of British Columbia (2020-2022) and the Centre de recherches Mathematiques (2022-2023). 

Research interests:

I use Galois theoretic methods to study questions in number theory and arithmetic geometry. My research is primarily in

  • Iwasawa theory,

  • Galois representations,

  • Arithmetic statistics.

Here is a link to my papers on the arxiv. Click here to view my research papers.

Education/Positions held:

2022-2023 Simons postdoctoral researcher at Centre de recherches mathématiques - Université de Montréal (CRM).

supervisors: Matilde Lalín and Antonio Lei.

2020-2022: postdoctoral researcher (Department of Mathematics, University of British Columbia)

supervisor: R.Sujatha

2015-2020: PhD in Math (Cornell University)

supervisor: Ravi Ramakrishna

Organization:

Teaching this semester (Aug-Dec 23)

I'm teaching two couses this semester.

Function field Arithmetic: This is a topics course in number theory, accessible to advanced undergraduate students and Phd students. In this course we study the arithmetic of Drinfeld modules and related structures. These arithmetic objects have properties that are analogous to elliptic curves defined over number fields.  The textbook used for this course is "Drinfeld modules" by Papikian. The goal is to discuss the basic properties of Drinfeld modules over local and global fields, their associated Galois representations, as well as the analytic theory. If time permits, we shall also discuss the geometry of Drinfeld modular curves.

Algebraic geometry I: This is an introductory course in algebraic geometry. We discuss the theory of algebraic varieties and the basics of scheme theory. The plan is to cover chapters 1 and 2 from Hartshorne's "Algebraic Geometry". If time permits, we shall also discuss some additional topics from Chapter 3. 

Contact

email: anwesh@cmi.ac.in

photo credit: Melissa Totman

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