Saugata Basu

collaborators

3 papers

math.AT2026

Complexity and speed of semi-algebraic multi-persistence

Arindam Banerjee, Saugata Basu

Let $R$ be a real closed field, $S \subset R^{n}$ a closed and bounded semi-algebraic set, and $f = (f_{1}, \dots, f_{p}) : S \to R^{p}$ a continuous…

math.AG2025

Thom-Milnor bounds for smooth manifolds

Saugata Basu, Antonio Lerario, Matteo Testa

We prove a smooth analogue of the classical Thom-Milnor bound, showing that the Betti numbers of the zero set of a smooth map on a compact Riemannian manifold can be controlled by…

math.LO2025

Cohomological VC-density: Bounds and Applications

Saugata Basu, Deepam Patel

The concept of Vapnik-Chervonenkis (VC) density is pivotal across various mathematical fields, including discrete geometry, probability theory and model theory. In this paper, we i…