Fall 2023

FC2305: Random Walks and Mixing Times

(continued into the next semester) [TBA]

[TBA]

Audience: B. Stat, 2nd year students and seniors
Abstract: We will study measures and their properties. Starting with a relatively abstract yet motivated setup, we will try to study measures, the Lebesgue Integration Theory, some major results, product measures and the Radon-Nikdoym Theorem. This would be followed by some convergence issues and probability theoretic applications.
Pre-requisites: Metric Topology, Probability and Riemann Integration.
Instructors:
- Rishiraj Baul (M. Math, 2024)
- Soham Mallick (M. Stat, 2024)
Schedule: All sessions will be held from 6:30 PM
- Lectures:
  - Monday, 13th March 2023
  - Wednesday, 15th March 2023
  - Wednesday, 22nd March 2023
  - Monday, 27th March 2023
  - Wednesday, 29th March 2023
  - Monday, 3rd April 2023
  - Monday, 10th April 2023
  - Monday, 17th April 2023

Audience: Everyone
Abstract: We will cover the very basics of metric spaces and generalise the notion of sequences and continuity. We will also discuss some introductory notions from Point Set Topology.
Pre-requisites: None
Instructors:
- Koustav Mallick (B. Stat, 2024)
- Sonali Priyadarsini Behara (M. Math, 2024)
Schedule: All sessions will be held from 4:30 PM
- Lectures:
  - Thursday, 23rd March 2023
  - Thursday, 30th March 2023
  - Thursday, 13th April 2023
  - Tuesday, 18th April 2023
- Problem Sessions:
  - Thursday, 6th April 2023
  - Thursday, 20th April 2023
- Advanced Topic Session: Tuesday, 25th April 2023

Audience: B. Stat, 1st year students
Abstract: This course will be an introduction to the theory of groups, specifically its role in the study of symmetry. We will also be discussing the axiomatic foundations of group theory as well as some number theory.
Pre-requisites: None
Instructor: Snehinh Sen (M. Math, 2024)
Schedule: All sessions will be held from 4:30 PM, unless otherwise mentioned
- Lectures:
  - Thursday, 9th March 2023 (Online, from 5:30 PM)
  - Tuesday, 21st March 2023
  - Tuesday, 28th March 2023,
- Problem Session: Wednesday, 5th April 2023
- Advanced Topic Session: Tuesday, 11th April 2023