Teaching Experience
Teaching is an integral part of my job. I have taught several courses in pure and applied mathematics.
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Overview of Courses
Laplace transform for undergraduates
September-December 2020
Introduction to Measure theory
September-December 2020
Index theory: an introduction to the Atiyah-Singer index theorem
January- April 2018
Topology
August-December 2017
Measure theory
May - June 2017
Laplace Transforms
September 2016
An introductory course on Laplace transform for undergraduates students from science as well as engineering backgrounds. The course duration was 4 weeks with about 11 hours of video lectures. The platform for this course was provided by SWAYAM (Govt. of India) and NPTEL in a MOOC-like framework.
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Number of enrollments: 4483
An introductory course on Measure theory is meant for Masters level students in mathematics. the course duration is 3 months, with about 30 hours of video lectures The platform for this course was provided by SWAYAM (Govt. of India) and NPTEL in a MOOC-like framework.
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Number of enrollments: 1235
This course starts with the basic ingredients of index theory to understand the famous Atiyah-Singer index theorem. Course topics include Fredholm theory(Functional analysis), Chern-Weil theory (Riemannian Geometry), and Elliptic regularity (PDEs).
An introduction to basic concepts in point-set and algebraic topology.
A two-week refresher course in Measure theory for PhD students across India, held at Kerala School of Mathematics. Basic concepts of measures, including the Riesz representation theorem were covered and theory was illustrated with various examples.
A one week course in Laplace transforms for Mathematics teachers in engineering colleges and universities. Watch the lectures here.