Selected Publications

  • J. A. Perea, A Brief History of Persistence, Morfismos, vol. 23, no. 1, pp. 1-16, 2019. Open
  • J. A. Perea, Topological Time Series Analysis, Notices of the American Mathematical Society, vol. 66, no. 5, pp. 686-694, May 2019. Open
  • L. Polanco and J. A. Perea, Coordinatizing Data With Lens Spaces and Persistent Cohomology, to appear in Proceedings of the 31st Canadian Conference on Computational Geometry, 2019. Open
  • J. A. Perea, Sparse Circular Coordinates via Principal Z-bundles, to appear in Processing of the 31st Canadian Conference on Computational Geometry, 2019. Open
  • J. A. Perea, Multiscale Projective Coordinates via Persistent Cohomology of Sparse Filtrations, Discrete & Computational Geometry, vol. 59, no. 1, pp. 175-255, 2018. Open
  • J. A. Perea and J. Harer, Sliding Windows and Persistence: An Application of Topological Methods to Signal Analysis, Foundations of Computational Mathematics, vol. 15 no. 3, pp. 799-838, 2015. Open
  • J. A. Perea and G. Carlsson, A Klein-Bottle-Based Dictionary for Texture Representation, International Journal of Computer Vision, vol. 107 no. 1, pp. 75-97, 2014. Open