I am a sixth year graduate student at Tata Institute of Fundamental Research, Mumbai. I am interested in symplectic topology and positive scalar curvature geometry.
Email: balarka at math dot tifr dot res dot in.
[ CV ]
I am a sixth year graduate student at Tata Institute of Fundamental Research, Mumbai. I am interested in symplectic topology and positive scalar curvature geometry.
Email: balarka at math dot tifr dot res dot in.
[ CV ]
Urysohn width and macroscopic scalar curvature (joint with Aditya Kumar) [ arXiv ] [ talk video ]
Positive scalar curvature and exotic structures on simply connected four manifolds (joint with Aditya Kumar) [ arXiv ]
Circle bundles with PSC over large manifolds (joint with Aditya Kumar), Geom. Funct. Anal. (GAFA), 35, 1400–1423 (2025) [ arXiv | journal ]
Tight contact structures on hyperbolic homology 3-spheres (joint with Mahan Mj), J. Ramanujan Math. Soc. 41, no. 1, 75–104 (2026) [ pdf ]
h-principle for stratified spaces (joint with Mahan Mj), Int. Math. Res. Not. (IMRN), no. 5, 3823–3919 (2024) [ arXiv | journal ]
Gromov-Tischler theorem for stratified spaces (joint with Mahan Mj), Rocky Mountain J. Math. 55, no. 3, 775-801 (2025) [ arXiv | journal ]
My master's thesis on loose Legendrian embeddings.
I maintain a mathematical blog at https://witheredstumps.github.io/