headshot

Amit Patel

Assistant Professor
Department of Mathematics
Colorado State University

Email
akpatel@colostate.edu

Office
Weber 217

Address
Department of Mathematics
1874 Campus Delivery
Fort Collins, CO 80523-1874

Research Interests

I am an applied topologist. I am particularly interested in the theory of persistent homology.

Here is my CV.

Papers

A. McCleary and A. Patel. Bottleneck Stability for Generalized Persistence Diagrams. Preprint on arxiv

R. MacPherson and A. Patel. Persistent Local Systems. Preprint

J. Curry and A. Patel. Classification of Constructible Cosheaves. Preprint.

A. Patel. Generalized Persistence Diagrams.
In the Journal of Applied and Computational Topology, May 2018
Slide talk: TGDA@OSU
Online talk: YouTube

V. de Silva, E. Munch, A. Patel. Categorified Reeb Graphs.
In the journal Discrete & Computational Geometry, June 2016, Volume 55, Issue 4, pp 854-906.

P. Bendich, H. Edelsbrunner, D. Morozov, A. Patel. Homology and Robustness of Level and Interlevel Sets.
In the journal Homology, Homotopy, and Applications; Volume 15; Number 1; 2013; pp 51-72.

F. Chazal, A. Patel, P. Skraba. Computing the Robustness of Roots.
In the journal Applied Mathematics Letters, Volume 25, Issue 11, November 2012, pp 1725-1728.

H. Edelsbrunner, D. Morozov, A. Patel. Quantifying Transversality by Measuring the Robustness of Intersections.
In the journal Foundations of Computational Mathematics, Volume 11, Issue 3, June 2011.

H. Edelsbrunner, D. Morozov, A. Patel. The Stability of the Apparent Contour of an Orientable 2-Manifold.
In Topological Methods in Data Analysis and Visualization: Theory, Algorithms, and Applications, eds. V. Pascucci, X. Tricoche, H. Hagen, and J. Tierny. Springer-Verlag, Heidelberg, Germany, 2011.
Part of the series Mathematics and Visualization.

Bendich, H. Edelsbrunner, M. Kerber, A. Patel. Persistent Homology Under Non-Uniform Error.
In Proceedings of the 35th International Symposium on Mathematical Foundations of Computer Science, 2010, pp 12-23.

P. Bendich, H. Edelsbrunner, D. Morozov, A. Patel. Robustness of Level Sets.
In Proceedings of the 18th Annual European Symposium on Algorithms, 2010, pp 1-10.

A. Patel. Reeb Spaces and the Robustness of Preimages.
PhD thesis, Duke University, May 2010.

H. Edelsbrunner, J. Harer, A. Patel. Reeb Spaces of Piecewise Linear Mappings.
In Proceedings of the 24th Annual Symposium on Computational Geometry, 2008, pp 242-250.