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Research

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Table of Contents
As my studies are research based (as in I want to research in future, and not like my current research is contributing highly to the society and I deserve a Nobel for that!), I decided it was best to create a separate page dedicated to my internships, experiences, talks and papers as to keep them together, which makes it easy to manage.

Research Internships
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  • Research Commons, Mathematics Research Intern (Remote)
    • Preparing a curriculum for research-based studies in India on various topics in mathematics.
    • Collaborated with undergrads from IITs and BITs.
    • Learning Areas: ODE, PDE.
    • Duration: Jan 2025 – (Ongoing)

Research Experience
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  • Study Project
    • Institution: National Institute of Technology, Durgapur
    • Mentorship: Worked with Dr. Kartick Mohanta under Prof. Anita Pal.
    • Topic: Modeling on Fuzzy Graphs and Dual Warehouse Inventory Model with Trade Credit.
    • Skills Acquired: Fuzzy Graph Theory, ODE, Inventory Control Management.
    • Duration: Winter 2024

  • PolyMath Junior (Williams College, US)
    • Worked on Asymmetric Colourings of Graphs under mentorship by Prof. Puck Rombach, Daniel Johnston, and Jeremy Quail.
    • Participated in group presentations and contributed to publishing a paper.
    • Skills Acquired: Graph Theory, Group Theory, SageMath.
    • Duration: Summer 2024

  • 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
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Journal Articles
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  • Asymmetric Vertex Colorings of Disjoint Unions of Graphs
    • (On-way) Publishing in The Polymath Jr. (2024)
    • Contribution as part of the Asymmetric Graph Coloring Team, including Daibik Barik.
    • ResearchGate Preprint

Talks Given
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  • Mathematics Beyond Precision: Navigating the World of (Fuzzy) Uncertainty (Math Club, ISI Bangalore)

Online Courses
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