Publications

1. Subhajit Ghosh, "On the number of components of random polynomial lemniscates", Electron. J. Probab., 29 (2024), Paper No. 1. [Arxiv], [Journal]
2. Subhajit Ghosh and Koushik Ramachandran, "Number of components of polynomial lemniscates: A problem of Erdös, Herzog, and Piranian", J. Math. Anal. Appl., 540 (2024), Paper No. 128571. [Arxiv], [Journal]
3. Subhajit Ghosh and Koushik Ramachandran, "A note on the Erdos minimal area problem ", [Arxiv]
4. Subhajit Ghosh, Koushik Ramachandran, and Atul Shekhar, "Asymptotics of the Number of Components of Random Polynomial Lemniscates", [Arxiv]

Thesis

Subhajit Ghosh, “On the number of connected components of polynomial lemniscates: Deterministic and Random”, Ph.D. Thesis,
TIFR-Centre for Applicable Mathematics, 2025. [Drive Link], [Shodhganga]