I am a fifth year graduate student at Tata Institute of Fundamental Research, Mumbai. I am interested in symplectic topology and positive scalar curvature geometry.Â
Email : balarka at math dot tifr dot res dot in
I am a fifth year graduate student at Tata Institute of Fundamental Research, Mumbai. I am interested in symplectic topology and positive scalar curvature geometry.Â
Email : balarka at math dot tifr dot res dot in
Contact domination (joint with Sekh Kiran Ajij and Ritwik Chakraborty) [ arXiv | journal ]
Positive scalar curvature and exotic structures on simply connected four manifolds (joint with Aditya Kumar), submitted. [ arXiv | journal ]
Circle bundles with PSC over large manifolds (joint with Aditya Kumar), Geom. Funct. Anal. 35, 1400-1423 (2025) [ pdf | journal ]
Tight contact structures on hyperbolic homology 3-spheres (joint with Mahan Mj), to appear in J. Ramanujan Math. Soc. [ pdf | journal ]
h-principle for stratified spaces (joint with Mahan Mj), Int. Math. Res. Not. IMRN, no. 5, 3823-3919 (2024) [ arXiv | journal ]
My master's thesis on loose Legendrian embeddings.
I maintain a mathematical blog at https://witheredstumps.github.io/