Teaching
I have participated in teaching the following courses:
In charge (Course Design, Lectures, and Student Evaluation) (Oct 2023- Feb 2024) Conducted a course on Advanced Mathematical Relativity (focus on causality theory and singularity theorems) for Masters Students of Mathematical Physics at Tuebingen, Germany.
Description: The course is divided into two parts: 1) First, we study the causal structure of spacetime in general relativity, the causal hierarchy and various theorems related to causality. 2) We then study singularities and the celebrated singularity theorems by Penrose and Hawking.
In charge (Course Design, Lectures, and Student Evaluation) (April- July 2023)
Conducted a Special Relativity course for 3rd-year Undergraduate and 1st-year Master's students of Mathematics, Physics, and Mathematical Physics at Tuebingen, Germany.
Description: The course is divided into three parts: 1) We discuss the historical development of the special theory of relativity and its experimental background. To begin with, we study the incompatibility of the Galilean transformation (the foundation of Newtonian mechanics) and Electrodynamics. Then, we will discuss the attempts to locate the Absolute frame and to preserve the idea of Ether. We then state the postulates of Special Relativity. 2) Next, we study the geometry of Minkowskian spacetime, which is the framework of special relativity. We discuss various consequences such as Time Dilation, Length Contraction, and Relativistic Addition of Velocities. 3) Finally, we discuss the Zeeman theorem (we will not prove it) and the energy-momentum.
Delivered a series of eight lectures for the students of the Master of Science program at the International Center for Cosmology (ICC), India, in the first semester of the academic year 2020-2021 on the topic: Overview of Special Relativity, General Relativity and Gravitational Collapse to Black Holes and Naked Singularities.
Teaching Assistant
While pursuing my PhD, I have been a teaching assistant in the following courses for first and second-year engineering and science undergraduate students:
1) Optimization,
2) Ordinary Differential Equations,
3) Linear Algebra and Complex Analysis,
4) Calculus of Several Variables and Vector Analysis, and
4) Probability and Statistics.
