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Mathematics

D-Index
31
Citations
3423
World Ranking
3373
National Ranking
42

Overview

Gert Vegter is affiliated with the University of Groningen in the Netherlands. Their research spans multiple fields, primarily focused on computer science and mathematics. Within these fields, their work covers the subfields of computational theory and mathematics, computer graphics and computer-aided design, astronomy and astrophysics, geometry and topology, and applied mathematics.

The main topics addressed in Vegter's research include topological and geometric data analysis, computational geometry and mesh generation, galaxies in terms of formation, evolution, and phenomena, geometric and algebraic topology, tryptophan and brain disorders, advanced numerical analysis techniques, and computer graphics and visualization techniques.

Frequent publication venues include:

  • arXiv (Cornell University)
  • Monthly Notices of the Royal Astronomical Society
  • Discrete & Computational Geometry
  • Studia Scientiarum Mathematicarum Hungarica

Recent papers authored or co-authored by Vegter are:

  • Refutation of a claim made by Fejes Tóth on the accuracy of surface meshes, 2020, Studia Scientiarum Mathematicarum Hungarica
  • Isotopic Arrangement of Simple Curves: an Exact Numerical Approach based on Subdivision, 2020, arXiv (Cornell University)
  • Persistent homology of the cosmic web - I. Hierarchical topology in ΛCDM cosmologies, 2021, Monthly Notices of the Royal Astronomical Society
  • Minimal Delaunay Triangulations of Hyperbolic Surfaces, 2022, Discrete & Computational Geometry
  • Topological bias: how haloes trace structural patterns in the cosmic web, 2024, Monthly Notices of the Royal Astronomical Society

Frequent co-authors collaborating with Vegter include:

  • Georg Wilding
  • Rien van de Weygaert
  • Bernard J. T. Jones
  • Raúl Bermejo
  • Konstantinos Efstathiou

Best Publications

  • The visibility complex

    Michel Pocchiola;Gert Vegter

  • Computational Topology: An Introduction

    Günter Rote;Gert Vegter

  • Topologically sweeping visibility complexes via pseudotriangulations

    Michel Pocchiola;Gert Vegter

  • Computing a canonical polygonal schema of an orientable triangulated surface

    Francis Lazarus;Michel Pocchiola;Gert Vegter;Anne Verroust

  • Subordinate Sil'nikov bifurcations near some singularities of vector fields having low codimension

    Hendrik Broer;Gert Vegter

  • Isotopic approximation of implicit curves and surfaces

    Simon Plantinga;Gert Vegter

  • Isotopic Implicit Surface Meshing

    Jean-Daniel Boissonnat;David Cohen-Steiner;Gert Vegter

  • The Topology of the Cosmic Web in Terms of Persistent Betti Numbers

    Pratyush Pranav;Herbert Edelsbrunner;Rien van de Weygaert;Gert Vegter

  • Algorithms for computing normally hyperbolic invariant manifolds

    H. W. Broer;H. M. Osinga;G. Vegter

  • Computing the visibility graph via pseudo-triangulations

    Michel Pocchiola;Gert Vegter

  • Global Analysis of Dynamical Systems

    Henk W Broer;Bernd Krauskopf;Gert Vegter

  • Bifurcational Aspects of Parametric Resonance

    Hendrik Broer;Gert Vegter

  • Computational complexity of combinatorial surfaces

    Gert Vegter;Chee K. Yap

  • Alpha, betti and the megaparsec universe: on the topology of the cosmic web

    Rien van de Weygaert;Gert Vegter;Herbert Edelsbrunner;Bernard J. T. Jones

  • A normally elliptic Hamiltonian bifurcation

    Hendrik Broer;S.N. Chow;Y. Kim;Gert Vegter

  • Pseudo-triangulations: theory and applications

    Michel Pocchiola;Gert Vegter

  • Global Analysis of Dynamical Systems: Festschrift dedicated to Floris Takens for his 60th birthday

    Hendrik Wolter Broer;Bernd Krauskopf;Gert Vegter

  • The geometry of resonance tongues: a singularity theory approach

    Hendrik Broer;Martin Golubitsky;Gert Vegter

  • Betti Numbers of Gaussian Fields

    Changbom Park;Pratyush Pranav;Pravabati Chingangbam;Rien van de Weygaert

  • Topology and geometry of Gaussian random fields I: On Betti numbers, Euler characteristic, and Minkowski functionals

    Pratyush Pranav;Pratyush Pranav;Pratyush Pranav;Rien van de Weygaert;Gert Vegter;Bernard J. T. Jones

  • Minimal tangent visibility graphs

    Michel Pocchiola;Gert Vegter

  • The inverted pendulum : A singularity theory approach

    Hendrik Broer;I. Hoveijn;M. van Noort;Gert Vegter

Frequent Co-Authors

Hendrik Broer
Hendrik Broer University of Groningen
Gerton Lunter
Gerton Lunter University of Oxford
Chee Yap
Chee Yap New York University
Hinke M. Osinga
Hinke M. Osinga University of Auckland
David Cohen-Steiner
David Cohen-Steiner French Institute for Research in Computer Science and Automation - INRIA
Jean-Daniel Boissonnat
Jean-Daniel Boissonnat Université Côte d'Azur
Günter Rote
Günter Rote Freie Universität Berlin
Herbert Edelsbrunner
Herbert Edelsbrunner Institute of Science and Technology Austria
Martin Golubitsky
Martin Golubitsky The Ohio State University
Franz Aurenhammer
Franz Aurenhammer Graz University of Technology

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