Hello there!
My name is Aryan Bhatia, and I am a final-year BS-MS dual degree student in physics at the Indian Institute of Science Education and Research (IISER) Thiruvananthapuram, India. I am primarily interested in mathematical physics, and I love to learn about the rigorous formalisms that underpin physics. My fondness for mathematical physics stems from the fact that results in modern mathematics (such as topology) can reveal fundamental invariants in physics. The Atiyah-Singer Index Theorem illustrates this idea beautifully. While my interests are broad, I am eager to delve into any research area at the intersection of mathematics and theoretical physics.
Currently I am working under Dr Suraj S Hegde on Topological Quantum Field Theory (Chern Simons Theory). Currently I am reading upon Chern Simons gravity and field theory.
Before this I worked under Dr Soumen Basak for a short period of time on Numerical Relativity using the 3+1 ADM decomposition.
Previously, I compiled a report titled "Explanation of Twin Paradox & Equivalence Principle" under the supervision of Dr Srijit Bhattacharjee from IIIT Allahabad. Apart from this, I also worked on creating animations for Lorentz transformations using Python and manim library which can be found here.
Additionally, I have proficiency in programming languages like Python and C++ and have an intermediate skill set in C and type-scripting languages such as LaTeX. I have also worked under Dr Nagaiah Chamakuri from IISER TVM, where I learned the fundamentals for template-meta programming and techniques for numerical solutions for partial differential equations.
Apart from physics and mathematics, I often indulge in web development, competitive programming, designing and video editing. Previously, I was one of the Science & Technology representative at IISER TVM.