Abhiram Natarajan

activity

20142024

most citedComputational Complexity of Certifying Restricted Isometry Property

5 citations · 9 across the 4 of their papers we have counts for

collaborators

Showing math.AGShow all

2 papers · 1 filter

math.AG2019

Betti Numbers of Random Hypersurface Arrangements

Saugata Basu, Antonio Lerario, Abhiram Natarajan

We study the expected behavior of the Betti numbers of arrangements of the zeros of random (distributed according to the Kostlan distribution) polynomials in $\mathbb{R}\mathrm{P}^…

math.AG2018★ 4 cited

Zeroes of polynomials on definable hypersurfaces: pathologies exist, but they are rare

Saugata Basu, Antonio Lerario, Abhiram Natarajan

Given a sequence ${Z_{d}}_{d \in N}$ of smooth and compact hypersurfaces in $R^{n - 1}$ , we prove that (up to extracting subsequences) there exists a regular definab…