Prashant Kumar

Research Interests

I am a quantum condensed matter theorist in the Department of Physics at IIT Bombay. My research focuses on studying quantum phenomena on macroscopic scales. A central theme of my work is understanding the role of topology in quantum matter, with a particular focus on topological phases and the transitions between them.

In a closely related area, I also study unconventional quantum metals in 2+1 dimensions, which still remain poorly understood despite extensive research. By employing both numerical simulations and analytical techniques, my goal is to advance our understanding of these complex and challenging systems. See my CV for more details.

For specific research topics, you are invited to visit my website. I currently have openings for motivated students who would like to work on fundamental problems in condensed matter theory. Please feel free to contact me.

Research Topics:

• Topological Phases and Phase Transitions
• Quantum Hall Physics
• Strongly Correlated and Disordered Systems
• Numerical Methods:
  • Density-Matrix Renormalization Group
  • Exact Diagonalization
  • Hartree-Fock
• Analytical Techniques:
  • Quantum Field Theory
  • Dualities in 2D

Teaching:

• 2024–25 Winter, PHY 418: Introduction to Condensed Matter Physics, Lecture Notes