Karambir Das's Webpage

About Me

I am currently a Prime Minister's research fellow (PMRF) at the department of Mathematics, Indian Institute of Science, Bangalore, India. My research broadly lies in the heart of Probability and Statistics. My research advisor is Prof. Srikanth K. Iyer. The random patterns of objects really fascinates me and is the driving force of my research. Recently, I have grown interests in machine learning and coding. Besides pen and paper, I enjoy playing table tennis, frisbee, mafia (werewolf), and video games specially Fifa.

Research

My research interests include stochastic geometry, random network structures, random geometric graphs, continuum percolation, first-passage percolation, last-passage percolation.

Published/To appear

(With M. Balázs, S. Bhattacharjee, D. Harper) Road layout in the KPZ class. Pre-print [arXiv].
J. Stat. Phys. 192, 83 (2025), [Article].

(With Bhaswar Bhattacharya, S. Bhowal, L. Eslava, S. Karmakar)
Thresholds and Fluctuations of Submultiplexes in Random Multiplex Networks. Pre-print [arXiv].

Ongoing

(With Srikanth K. Iyer) Limit laws for functionals of Random Geometric Graph.

Talks

I have delivered the following talks

Limit Laws of Random Graphs using Stein's method, at Postdoc-Student Symposium, IISc, 2025. [Link, Slides]
How to simulate Brownian motion?, at Prime Time Seminar, IISc, 2025. [Link] [Video Link]

Central Limit Theorems via Stein’s method, at Prime Time Seminar, IISc, 2024. [Link]

The realm of Random Geometric Graphs, at Postdoc-Student Symposium, IISc, 2024. [Link, Slides]
Cantor set and Fractals, at Prime Time Seminar, IISc, 2023. [Link, Slides]

Introduction to Percolation Theory: Bernoulli and First-passage percolation, at Prime Time Seminar, IISc, 2022. [Link, Slides]

Conferences

I have attended the following conferences

Topological Data Analysis in Stochastic Geometry and Image Processing at Aarhus Institute of Advanced Studies (AIAS), Denmark. [Webpage]

Mathematical Foundations of Network Models and their Applications BIRS at CMI, Chennai. [Webpage]

ICTS-Networks workshop "Challenges in Networks" at ICTS, Bangalore, 2024. [Webpage]

Data science: Probabilistic and Optimization method, at ICTS, 2023. [Webpage]

Lectures in Probability and Stochastic Processes XV 2022 at IISc [Webpage] and XVI 2023 at ICTS [Webpage].

First-Passage Percolation and related models, at Indian Centre for Theoretical Sciences(ICTS), Bangalore, 2022. [Webpage]

Teaching

I have been a teaching assistant for

MA 366a, Introduction to Stochastic Finance, at IISc, Spring 2026 semester.

MA 361, Probability Theory, at IISc, Fall 2023 and Fall 2025 semester.

Advance Analysis and Algebra, Jan 2024- May 2024, at Ramakrishna Mission Vidyamadira, Belur.

UM 201, Probability and Statistics, at IISc, Fall 2024 semester.

Advance Analysis and Algebra, Aug 2024- May 2025, at Ramakrishna Mission Vidyamadira, Belur. [Notes]

MA 262, Introduction to Stochastic Processes, at IISc, Spring 2025 semester. [Course Website]

Advance Analysis and Algebra, Sep 2025- present, at Ramakrishna Mission Vidyamadira, Belur. [Notes]

Karambir Das