Mathematical physics
Abhiram
Srinivas
BS-MS student at IISER Mohali, currently a visiting master's student at IISc — writing a thesis on Yang–Mills energy on 4-manifolds, and trying to bridge stable homotopy theory with fundamental physics.
About me
Chasing the topology hiding underneath physics
I'm a theoretical physics and mathematics student working to bridge stable homotopy-theoretic machinery and fundamental physics. My master's thesis at the Indian Institute of Science, under Prof. Swarnendu Sil, studies the behaviour of Yang–Mills energy on four-dimensional manifolds.
My foundational goal is to understand how invariants under topological change dictate physical observables — and how diffeomorphism and conformal invariance can be read through a single cohesive topological lens.
Away from the thesis I mentor in mathematical physics at CFRCE and co-develop educational platforms that use generative AI to make hard academic ideas reachable. I'm now looking for a PhD in mathematics or mathematical physics, and I'm always glad to meet people working nearby.
Core interests
Algebraic topology
Stable homotopy theory
Spectra and the Adams spectral sequence — the machinery I keep returning to.
Quantum field theory
TQFTs
Topological quantum field theories, Costello's effective field theory, supersymmetric field theories.
Geometry & analysis
Gauge theory
Yang–Mills energy on 4-manifolds; invariance under topological change.
Higher structure
Categorification
Homotopical algebra, category theory, and lifting invariants to see what survives.
Say hello
Happy to talk about Yang–Mills, spectra, PhD positions, or teaching. Email is the surest way to reach me.