Pranav Haridas
Assistant Professor
Kerala School of Mathematics,
Kunnamangalam
Kozhikode - 673571
India
Email : pranav at ksom dot res dot in

My research interests broadly lie in Complex Analysis. Currently, I am studying one point one degree quadrature domains in higher dimensions and their properties. In a joint project with Jaikrishnan, I am studying proper holomorphic mappings between domains in several complex variables (SCV). I am also exploring the interplay between SCV and Teichmüller theory with Chitrabhanu.

List of publications

Pranav Haridas and Kaushal Verma, Quadrature domains in $\mathbb{C}^n$, Computational Methods and Function Theory
Diganta Borah, Pranav Haridas, and Kaushal Verma, Comments on the green's function of a planar domain, Analysis and Mathematical Physics
Pranav Haridas and Jaikrishnan Janardhanan, A 1-point poly-quadrature domain of order 1 not biholomorphic to a complete circular domain, Analysis and Mathematical Physics
Pranav Haridas and Jaikrishnan Janardhanan, A note on the smoothness of the Minkowski function, to appear in Complex Variables and Eliptic Equations

In this semester, I am offering a course on Linear Algebra in the online portal Swayam Central. The details about the course can be found in the course webpage. The video lectures and assignments will updated in the course webpage on a weekly basis starting from January 27, 2020. The video lectures of the course can be found here.

Courses Taught

• Riemann Surfaces (Fall 2018 at Chennai Mathematical Institute)
• Linear Algebra and Numerical Analysis (Spring 2016 and Spring 2017 at Indian Institute of Technology Madras)

B.Math(Hons.) from Indian Statistical Institute, Bangalore
ALGANT Masters from Università di Padova and Université Paris-Sud
PhD from Indian Institute of Science, Bangalore

Post-doctoral experience

I was a Research Associate at Indian Institute of Science, Bangalore from July 2015 to June 2016. Thereafter, I was a post-doctoral fellow at Indian Institute of Technology Madras from July 2016 to June 2018 and Chennai Mathematical Institute from July 2018 to February 2019.

Lecture notes

Lecture notes by Chitrabhanu from the lectures given in the Teacher's training program organized from November 28, 2019 to December 01, 2019 at Kerala School of Mathematics.

Video Lectures on the web

I have compiled below a few of my favourite video lectures found in the web.

Lectures on Algebraic Topology

Dr. Pierre Albin from the University of Illinois at Urbana-Champaign has offered a course in Algebraic Topology. The course more or less follows the route taken by Allen Hatcher in his book "Algebraic Topology". The lectures can be found in the following link.

Lectures on the Geometric Anatomy of Theoretical Physics

Dr. Frederic P Schuller has delivered a series of lectures by the title "Lectures on the Geometric Anatomy of Theoretical Physics". The lecture series involves building the foundational mathematics needed for theoretical physics (which includes Classical Mechanics, Electromagnetism, Quantum Mechanics, Statistical Physics, Relativity). These lectures start from Logic and paves its way into Bundle Theory eventually. These lectures will be an excellent source to learn the material generally involved in a Topology and Geometry course in Mathematics. A link to the first lecture is given here.