Graph Theory Algorithms Theoretical Computer Science Combinatorics Cryptography Coding Theory Algorithmic Game Theory Discrete Mathematics
Research Internships#
Research Commons
Mathematics Research Intern • Remote • Jan–Mar 2025
ODE
PDE
Curriculum Design
Research Commons
Mathematics Research Intern • Remote • Jan–Mar 2025
Overview
Prepared research-oriented learning material for undergraduate students interested in pursuing mathematical research in India.
Designed structured curricula, curated references, and collaborated with undergraduate students from IITs and BITs to make advanced mathematical topics more accessible.
Research Experience#
Indian Institute of Technology Guwahati
Summer Research Internship • Summer 2025
Graph Theory
Algorithms
Complexity
Indian Institute of Technology Guwahati
Summer Research Internship • Summer 2025
Mentor
Prof. Partha Sarathi Mondal
Research Topic
Decontamination of Dynamic Network Models using External Agents
Overview
Worked on dynamic graph models and developed algorithms for monotone decontamination under changing network topologies. The work culminated in a paper accepted to CALDAM 2026 and published in the Springer LNCS proceedings.National Institute of Technology Durgapur
Study Project • Winter 2024
Fuzzy Graph Theory
ODE
Inventory Models
National Institute of Technology Durgapur
Study Project • Winter 2024
Mentors
Dr. Kartick Mohanta • Prof. Anita Pal
Research Topic
Fuzzy Graphs and Dual Warehouse Inventory Models with Trade Credit
Overview
Worked on mathematical modelling of inventory systems using fuzzy graph theoretic techniques together with differential equation models involving trade credit policies.
The project served as my introduction to mathematical modelling and operations research.
Polymath Junior
Williams College • Summer 2024
Graph Theory
Group Theory
SageMath
Polymath Junior
Williams College • Summer 2024
Mentors
Prof. Puck Rombach • Daniel Johnston • Jeremy Quail
Research Topic
Asymmetric Vertex Colourings of Graphs
Overview
Worked collaboratively on asymmetric graph colourings, contributing theoretical ideas, computational experiments and manuscript preparation as part of the international Polymath Junior programme.Undergraduate Directed Group Reading Programme
Indian Statistical Institute Bangalore • 2023–2024
Knot Theory
Combinatorics
Teaching
Undergraduate Directed Group Reading Programme
Indian Statistical Institute Bangalore • 2023–2024
Overview
Participated in advanced reading groups spanning Geometric Group Theory, Enumerative Combinatorics, Fourier Analysis and Measure Theory.
Co-taught an introductory course on Knot Theory together with Suryansh Shirbhate, preparing comprehensive handwritten lecture notes for the participants.
- UDGRP Winter (Indian Statistical Institute, Bangalore)
- Taken by sophomores at ISI to bridge learning topics outside the core syllabus.
- 2024 Topics: Geometric Group Theory, Enumerative Combinatorics, Fourier Analysis, Measure Theory.
- Taught Knot Theory, along with my friend Suryansh Shirbhate. Handwritten Notes are available here.
- 2023 Topics: Combinatorial Game Theory, Commutative Algebra, LaTeX.
- Duration: Winter 2024, 2023
Research Publications#
Journal Articles#
Conference Proceedings#
Talks Given#
Introducing the Friendship Paradox and formulating it mathematically through graph theoretic examples with applications to real-world social networks.
An introductory talk covering fuzzy logic, fuzzy sets, fuzzy graphs, relations, and applications.