1. arxiv-logo.jpeg
    Output-sensitive Computation of Generalized Persistence Diagrams for 2-filtrations
    Dmitriy Morozov, and Amit Patel
  2. arxiv-logo.jpeg
    Möbius Homology
    Amit Patel, and Primoz Skraba


  1. SIAGA
    Edit Distance and Persistence Diagrams over Lattices
    Alexander McCleary, and Amit Patel
    SIAM Journal on Applied Algebra and Geometry, 2022
  2. arxiv-logo.jpeg
    Poincaré Duality for Generalized Persistence Diagrams of (co)Filtrations
    Amit Patel, and Tatum Rask
  3. arxiv-logo.jpeg
    Persistent Homology Transform Cosheaf
    Brittany Terese Fasy, and Amit Patel


  1. Advances
    Persistent local systems
    Robert MacPherson, and Amit Patel
    Advances in Mathematics, 2021


  1. TAC
    Classification of Constructible Cosheaves
    Justin Curry, and Amit Patel
    Theory and Applications of Categories, 2020
  2. Abel
    Canonical Stratifications Along Bisheaves
    Amit Patel, and Vidit Nanda
    In Proceedings of the Abel Symposium 2018: Topological Data Analysis, 2020
  3. AMS
    Bottleneck stability for generalized persistence diagrams
    Alex McCleary, and Amit Patel
    Proceedings of the American Mathematical Society. American Mathematical Society, Mar 2020


  1. JACT
    Generalized persistence diagrams
    Amit Patel
    Journal of Applied and Computational Topology, Jun 2018


  1. DCG
    Categorified Reeb Graphs
    Vin Silva, Elizabeth Munch, and Amit Patel
    Discrete & Computational Geometry, Jun 2016


  1. HHA
    Homology and robustness of level and interlevel sets
    Paul Bendich, Herbert Edelsbrunner, Dmitriy Morozov, and 1 more author
    Homology, Homotopy and Applications, Jun 2013


  1. APL
    Computing well diagrams for vector fields on R^n
    Frédéric Chazal, Primoz Skraba, and Amit Patel
    Applied Mathematics Letters, Jun 2012


  1. Top Viz
    The Stability of the Apparent Contour of an Orientable 2-Manifold
    Herbert Edelsbrunner, Dmitriy Morozov, and Amit Patel
    Jun 2011
  2. FoCM
    Quantifying Transversality by Measuring the Robustness of Intersections
    Herbert Edelsbrunner, Dmitriy Morozov, and Amit Patel
    Foundations of Computational Mathematics, Jun 2011


  1. ESA
    The Robustness of Level Sets
    Paul Bendich, Herbert Edelsbrunner, Dmitriy Morozov, and 1 more author
    In Algorithms – ESA 2010, Jun 2010
  2. MFCS
    Persistent Homology under Non-uniform Error
    Paul Bendich, Herbert Edelsbrunner, Michael Kerber, and 1 more author
    In Mathematical Foundations of Computer Science 2010, Jun 2010
  3. Duke
    Reeb Spaces and the Robustness of Preimages
    Amit K. Patel
    Duke University, Jun 2010


  1. SoCG
    Reeb Spaces of Piecewise Linear Mappings
    Herbert Edelsbrunner, John Harer, and Amit K. Patel
    In Proceedings of the Twenty-Fourth Annual Symposium on Computational Geometry, Jun 2008