Hello world !
I am
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.
My research interests include stochastic geometry, random network structures, random geometric graphs, continuum percolation, first-passage percolation, last-passage percolation.
(With M. Balázs, S. Bhattacharjee, D. Harper) Road layout in the KPZ class. Pre-print arXiv.
(With Bhaswar Bhattacharya, S. Bhowal, L. Eslava, S. Karmakar) Limit Laws of submultiplexes count in Correlated Erdös Réyni Mutliplex Network. (In preparation)
(With Srikanth K. Iyer) Limit laws for functionals of Random Geometric Graph.
(MS Project, with Srikanth K. Iyer) Mobility models: Radiation model and Scaling limits of a multi-scaled dynamic network. [Report]
(With M. Damron et al.) Kesten's question about directional time constant. [Report]
I have delivered the following talks
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]
I have attended the following conferences
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]
I have been a teaching assistant for
MA 361, Probability Theory, at IISc, Fall 2023 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- present, at Ramakrishna Mission Vidyamadira, Belur. [Notes]
MA 262, Introduction to Stochastic Processes, at IISc, Spring 2025 semester. [Course Website]
Email: karambirdas@iisc.ac.in
Alternate email: karambir.kd7@gmail.com