Teaching Approach

As an Assistant Professor at the Kerala School of Mathematics, teaching is a cornerstone of my academic commitment. My philosophy centers on fostering a deep and intuitive understanding of mathematical concepts, encouraging critical thinking, and inspiring a passion for the subject. I aim to create an engaging environment where students feel empowered to explore complex ideas, ask questions, and develop independent problem-solving skills.

I design my courses to be rigorous yet supportive, connecting abstract concepts to foundational principles and applications where appropriate. My continual goal is to enhance the learning experience and adapt to the evolving needs of students.

Courses Taught

At Kerala School of Mathematics

  • Differential Equations (Spring 2023): Techniques for solving ordinary and partial differential equations with applications.
  • Algebraic Topology (Fall 2022, current): Homotopy, fundamental groups, and homology theory.
  • Differential Geometry (Fall 2021 & Spring 2022): Geometry of curves and surfaces, curvature, and geodesics.
  • Complex Analysis (Spring 2021): Functions of a complex variable, integration, series, and residue theory.
  • Topology (Fall 2020): Topological spaces, continuity, compactness, and connectedness.

Online Courses via Swayam Central

  • Complex Analysis (Spring 2020): Accessible introduction to complex function theory. View lectures.
  • Linear Algebra (Fall 2020): Vector spaces, transformations, eigenvalues. View lectures.

At Chennai Mathematical Institute

  • Riemann Surfaces (Fall 2018): Theory of one-dimensional complex manifolds for advanced mathematics and physics.

At Indian Institute of Technology Madras

  • Linear Algebra and Numerical Analysis (Spring 2016 & 2017): Linear systems and numerical methods for scientific computing.

Current Teaching Engagement

In the current semester, I am offering a course on Algebraic Topology at the Kerala School of Mathematics. This course allows me to guide students through rich topological structures and their analytical applications.

I remain committed to delivering high-quality instruction that educates and inspires future mathematicians. A solid foundation in mathematics is crucial for all scientists and researchers, and I am proud to contribute to shaping that foundation.