Publications (34)
Deconstructing Approximate Offsets
Eric Berberich, Dan Halperin, Michael Kerber +1
Local Doubling Dimension of Point Sets
Aruni Choudhary, Michael Kerber
Metric Spaces with Expensive Distances
Michael Kerber, Arnur Nigmetov
Barcodes of Towers and a Streaming Algorithm for Persistent Homology
Michael Kerber, Hannah Schreiber
A Worst-case Bound for Topology Computation of Algebraic Curves
Michael Kerber, Michael Sagraloff
Geometry Helps to Compare Persistence Diagrams
Michael Kerber, Dmitriy Morozov, Arnur Nigmetov
Tropical fans and the moduli spaces of tropical curves
Andreas Gathmann, Michael Kerber, Hannah Markwig
Clear and Compress: Computing Persistent Homology in Chunks
Ulrich Bauer, Michael Kerber, Jan Reininghaus
A Riemann-Roch theorem in tropical geometry
Andreas Gathmann, Michael Kerber
Topology and Geometry of Gaussian random fields I: on Betti Numbers, Euler characteristic and Minkowski functionals
Pratyush Pranav, Rien van de Weygaert, Gert Vegter +6
Root Refinement for Real Polynomials
Michael Kerber, Michael Sagraloff
Semi-dynamic connectivity in the plane
Sergio Cabello, Michael Kerber
Embedding the dual complex of hyper-rectangular partitions
Michael Kerber
Counting tropical elliptic plane curves with fixed j-invariant
Michael Kerber, Hannah Markwig
Exact computation of the matching distance on 2-parameter persistence modules
Michael Kerber, Michael Lesnick, Steve Oudot
The Topology of the Cosmic Web in Terms of Persistent Betti Numbers
Pratyush Pranav, Herbert Edelsbrunner, Rien van de Weygaert +4
Homotopy equivalence between Voronoi medusa and Delaunay medusa
Siddharth Pritam, Michael Kerber
Distributed computation of persistent homology
Ulrich Bauer, Michael Kerber, Jan Reininghaus
Chunk Reduction for Multi-Parameter Persistent Homology
Ulderico Fugacci, Michael Kerber
A Kernel for Multi-Parameter Persistent Homology
René Corbet, Ulderico Fugacci, Michael Kerber +2
Fano 3-folds in codimension 4, Tom and Jerry, Part I
Gavin Brown, Michael Kerber, Miles Reid
Constrained Triangulations, Volumes of Polytopes, and Unit Equations
Michael Kerber, Robert Tichy, Mario Weitzer
Intersecting Psi-classes on tropical M_{0,n}
Michael Kerber, Hannah Markwig
Approximate Cech Complexes in Low and High Dimensions
Michael Kerber, R. Sharathkumar
Polynomial-Sized Topological Approximations Using The Permutahedron
Aruni Choudhary, Michael Kerber, Sharath Raghvendra
The Medusa of Spatial Sorting: Topological Construction
Herbert Edelsbrunner, Carl-Philipp Heisenberg, Michael Kerber +1
Improved Approximate Rips Filtrations with Shifted Integer Lattices
Aruni Choudhary, Michael Kerber, Sharath Raghvendra
Sphere Packing with Limited Overlap
Mabel Iglesias-Ham, Michael Kerber, Caroline Uhler
The Offset Filtration of Convex Objects
Dan Halperin, Michael Kerber, Doron Shaharabani
The Representation Theorem of Persistent Homology Revisited and Generalized
René Corbet, Michael Kerber
Improved Topological Approximations by Digitization
Aruni Choudhary, Michael Kerber, Sharath Raghvendra
Alexander Duality for Functions: the Persistent Behavior of Land and Water and Shore
Herbert Edelsbrunner, Michael Kerber
The Medusa of Spatial Sorting: 3D Kinetic Alpha Complexes and Implementation
Michael Kerber, Herbert Edelsbrunner
Approximation and Streaming Algorithms for Projective Clustering via Random Projections
Michael Kerber, Sharath Raghvendra