Topological transport
Stiefel-Whitney invariants in nodal-line semimetals, and what they actually do to measurable conductivity. With Junyeong Ahn at UT Austin.
I'm an incoming physics Ph.D. student at the University of Illinois Urbana-Champaign, starting fall 2026. Most of what I think about is quantum many-body theory: topological phases, their transport signatures, and questions on the border with quantum information.
I finished my B.S. in physics and mathematics at UT Austin in May 2026. As an undergrad I worked on topological transport with Junyeong Ahn, spent a summer at MIT doing cavity magnonics in Luqiao Liu's group, and helped teach Scott Aaronson's intro quantum computing stream for two years.
Short versions below; longer ones on the research page.
Stiefel-Whitney invariants in nodal-line semimetals, and what they actually do to measurable conductivity. With Junyeong Ahn at UT Austin.
Boson sampling, continuous-time quantum search, and what complexity theory can say about many-body systems. This is where I want to spend more of my Ph.D.
Spin waves, cavity-magnon coupling, and parametric down-conversion. My main undergrad project, now a preprint.
Things from talks, calculations I want to keep, occasional updates. There's an RSS feed.
Email is the best way to reach me: aravindkarthigeyan@utexas.edu. The address stays active through August 2026.