Teaching & Mentoring

I have taught a variety of courses at both the undergraduate and graduate levels. These include Algebra I, II (Ph.D. level), Galois Theory, Algebraic Number Theory, Class Field Theory, Galois Cohomology, Rings and Modules, Group Theory, Point-Set Topology, and Introduction to Proofs.

I have supervised over 30 students for semester and summer reading projects on topics such as Local Fields, the Inverse Galois Problem, the Local-Global Principle, Category Theory, Representation Theory, Class Field Theory, Basic Number Theory, Advanced Linear Algebra, Homological Algebra, Galois Cohomology, Lie Groups, and Lie Algebras.

If you're considering doing a project or thesis under my supervision, feel free to drop by my office for a conversation. I’m always happy to hear your own ideas and suggestions.

Undergraduate (MS) Theses Supervised

• Prasanna Bhat (May 2024 – May 2025) — Class field theory and local-global principle
• A. P. Arvintakshan (May 2022 – May 2023) — Analytic pro-p groups and the characterisation of uniform pro-p groups
• Pavith R. (Dec. 2021 – Dec. 2022) — Topics in Galois cohomology — towards Golod–Shafarevich inequality
• Siddhant Sharma (May 2021 – May 2022) — Inverse Galois problem: Rigidity method and realizing Monster groups as Galois groups
• Vishwakarma Pranjal — Representation theory of finite groups
• Shubham De — Local class field theory
• Plawan Das (CBSE, University of Mumbai) — Cohomological approach to local and global class field theory