1) Taught Analysis course at the Indian Women and Mathematics (IWM) Summer School 2025 held at the Christ (deemed to be) University, Bengaluru held during June 25-July 5, 2025. This summer school is meant for girls studying Mathematics in BSc in India.
2) Gave three Analysis lectures at the IWM Winter School held at the Punjabi University, Patiala during December 18-27, 2023.
3) Gave three hour lectures on ``Calculus on variations” at the Refresher Course in Maths, Statistics and Computer Science organised by University of Lucknow during January 10-23, 2023.
4) Gave three lectures on “Classical Surface Theory” at the National Workshop on Glimpses of Differential Geometry held at the Department of Mathematics, Central University of Kerala during January 30-February 2, 2019.
5) Gave two lectures on "A proof of the classical Isoperimetric Theorem in the Euclidean Plane using Fourier Analysis" at a workshop for undergraduate teachers in Mathematics and Physics titled: Intertwining strands in Physics and Mathematics: Fourier analysis during Jan 19-23, 2018. This workshop was organised by COESME at IISER Pune in association with the national academies of science. This workshop was organised by Professors Deepak Dhar and Rohini Godbole.
Lecture I: Introduction to the classical Isoperimetric Problem, The Isoperimetric Inequality, Formulation, Idea of the proof.
Lecture II: Recap of the Fourier Analysis to be used in the proof, Complete Proof of the Isoperimetric Inequality, More About the Isoperimetric Problems.
6) Gave two lectures to interested students at IISER Pune on “A glimpse of shape optimisation problems” in October 2017.
7) Gave six lectures at the Instructional School for Teachers (IST) on Algebraic Topology held at Department of Mathematics, Goa University, Goa during December 7-19, 2015 on basic topics in Algebraic Topology like Definition of smooth manifolds as sub- manifolds of Rn, abstract definition by smoothness of transition functions, ‘medium form’ of the Whitney embedding theorem for compact manifolds, embeddings of Projective plane and Klein bot- tle in R4.
8) Gave six lectures at the Instructional School for Lecturers (ISL) on Differential Geometry held at Banasthali Vidyapith, Rajasthan during December 8-11, 2014 on basic topics in Differential Geom- etry like Regular surfaces, differential functions on surfaces, the tangent plane and differential maps between regular surfaces; the first fundamental form.
9) Gave three lectures as part of the Analysis Seminar at IISER Pune on “Geometric overview of Symmetric Spaces” on 17th, 24th and 31st October, 2014. In this, we covered the following:
Brief Introduction to the basic notions of Riemannian Geometry,
Introduction to Space forms,
Symmetric Spaces as a natural generalisation of Space Forms,
Equivalent definition of the symmetric spaces through geodesic symmetries as isometries.
10) Gave three lectures as part of the Analysis Seminar at IISER Pune on “A proof of the Isoperimetric Problem using Fourier Analysis” on 9,16 and 18th April, 2014. In this, we covered the following:
Introduction and a Brief History of the Isoperimetric Problem,
Quick Recap of Fourier Series and Fourier Transforms on R,
Fourier Series and Fourier Transforms on Rn,
Equivalence Classes of curves in R3, and
Applications of Fourier Analysis to the Isoperimetric Problem.
11) Gave three lectures as part of the Analysis Seminar at IISER Pune on “Maximum Principles in Differential Equations” on 5, 12 and 19th September, 2013. In this, we covered the following:
Maximum Principles in one dimensional Euclidean space,
Maximum Principles for uniformly Elliptic PDEs in En (n ≥ 1).
Applications of the Maximum Principles to certain Shape Optimization Problems.
12) Gave a series of lectures on “The Isoperimetric Problem on Certain Geometric Spaces” from 22/09/2011 to 22/11/2011 at IISER Pune. In this, we covered the following:
Brief History of the Isoperimetric Problem,
The Isoperimetric Problem in the Euclidean plane and
Triangles in S2.
13) Gave a series of lectures on “Riemannian Symmetric Spaces” during October 2010 to March 2011 at the Department of Mathematics, University of Mumbai, Vidyanagari, Mumbai-400098.
14) Gave a short course on “The Isoperimetric Problem on some Geometric Spaces” during 09/07/2010 to 19/07/2010 at the Departamento di Mathematica, Facultad de Ciencias Fisicas y Matematicas, Universidad de Concepcion, Chile. The content of the lectures were as follows.
Lecture 1 : Brief history of the Isoperimetric Problem and the Isoperimetric Problem in the Euclidean Plane.
Lectures 2 and 3: Triangles and Polygons on S2.
Lecture 4 : Isoperimetric Problem for polygons on the unit sphere S2 and The Isoperimetric Problem on S2.
15) Gave a series of lectures in the Department of Mathematics, University of Mumbai, Vidyanagari from January 2005 to June 2005 on the following topics:
Sobolev spaces
Shape calculus for the Dirichlet boundary value problem in Euclidean space
Maximum principles for uniformly elliptic PDEs
Extremum of the energy functional over a family of domains in space-forms.