Mathematical and theoretical physicist

Kaushlendra Kumar

DFG Walter-Benjamin Research Fellow, School of Mathematical Sciences, Queen Mary University of London

I use exact algebraic and geometric structures to make difficult physical questions explicitly computable — from quantum-state geometry and black-hole phases to Yang–Mills sources and transport.

Research CV Contact

New preprint · August 2026

Quantum geometry from a single snapshot ensemble

In Laughlin quasihole states, one exact occupation law at a generic reference configuration fixes the full complex Gram kernel. Finite snapshots then recover overlaps, Bargmann phases, the quantum metric, and Berry curvature without full state tomography.

Read the preprint Explore the research map
Laughlin quasihole metric reconstruction, finite-snapshot comparison, and Gram-kernel singular values
Metric reconstruction and finite-dimensional Gram geometry from the paper.
Published · Physics Letters B 880 Characteristic lightcone sources in SO(1,3) Yang–Mills theory Quantum spacetime · with Shahn Majid A geometric Aharonov–Bohm phase around a black hole

Research in context

Exact structures, computable physics

Mathematical physics turns structural principles into calculations that can be checked. I begin with rigid inputs such as symmetry, quantum spaces, spectral triples, matrix models, and exact gauge fields, then work out the equations and geometry they impose. The result is concrete physics: distances and phases, fields and sources, transport laws, and constrained finite models.

Portrait of Dr. Kaushlendra Kumar

Contact

KK space — compactified, but with extra dimensions.

DFG Walter-Benjamin Research Fellow, School of Mathematical Sciences, Queen Mary University of London.

kaushlendra.kumar@qmul.ac.uk CV

Electron moves a lot,
photon’s the culprit here,
for vacuum is hardly stable.