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D-Index & Metrics

Mathematics

D-Index
36
Citations
7173
World Ranking
2601
National Ranking
174

Overview

Peter McMullen is affiliated with University College London in the United Kingdom. Their research primarily spans the fields of Mathematics, Engineering, and Biochemistry, Genetics and Molecular Biology.

The main subfields of study include Geometry and Topology, Genetics, Biomedical Engineering, Discrete Mathematics and Combinatorics, and Applied Mathematics. Their work covers several topics, notably Mathematics and Applications, Advanced Theoretical and Applied Studies in Material Sciences and Geometry, Point Processes and Geometric Inequalities, Genome Rearrangement Algorithms, Finite Group Theory Research, Graph Theory and CDMA Systems, and Advanced Combinatorial Mathematics.

Peter McMullen's recent papers include the following:

  • Quasi-Regular Polytopes of Full Rank, 2021, Discrete & Computational Geometry
  • Identifying a Polytope by Its Fibre Polytopes, 2020, Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry
  • Realizations of the 120-cell, 2021, Contemporary Mathematics - American Mathematical Society

The frequent publication venues where their work appears are:

  • Discrete & Computational Geometry
  • Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry
  • Contemporary Mathematics - American Mathematical Society

Peter McMullen has also published a book titled Geometric Regular Polytopes in 2020 with Cambridge University Press, which has accumulated a number of citations.

Best Publications

  • The maximum numbers of faces of a convex polytope

    P. McMullen

  • Abstract Regular Polytopes

    Peter McMullen;Egon Schulte

  • Convex polytopes and the upper bound conjecture

    P. McMullen;G. C. Shephard;J. E. Reeve;A. A. Ball

  • Valuations and Euler-Type Relations on Certain Classes of Convex Polytopes

    P. McMullen

  • The numbers of faces of simplicial polytopes

    P. McMullen

  • On simple polytopes

    Peter McMullen

  • Non-linear angle-sum relations for polyhedral cones and polytopes

    P. McMullen

  • Valuations on convex bodies

    Peter McMullen;Rolf Schneider

  • Valuations and Dissections

    Peter McMULLEN

  • Lattice points in lattice polytopes

    U. Betke;P. McMullen

  • Lattice invariant valuations on rational polytopes

    P. McMullen

  • The polytope algebra

    Peter McMullen

  • GEOMETRIC TOMOGRAPHY (Encyclopedia of Mathematics and its Applications 58)

    Peter McMullen

  • Convex bodies which tile space by translation

    Unknown

  • A generalized lower-bound conjecture for simplicial polytopes

    Unknown

  • Continuous translation invariant valuations on the space of compact convex sets

    P. McMullen

  • Polytopes: Abstract, Convex and Computational

    T. Bisztriczky;P. McMullen;R. Schneider;A. Ivić Weiss

  • On Hammer's X-Ray Problem

    Unknown

  • Diagrams for centrally symmetric polytopes

    P. McMullen;G. C. Shephard

  • Representations of polytopes and polyhedral sets

    P. Mcmullen;P. Mcmullen

  • Weights on polytopes

    Peter McMullen

  • Realizations of regular polytopes

    Peter McMullen

  • INTRODUCTION TO GEOMETRIC PROBABILITY

    Peter McMullen

  • Abstract Regular Polytopes: Miscellaneous Classes of Regular Polytopes

    Peter McMullen;Egon Schulte

Frequent Co-Authors

Rolf Schneider
Rolf Schneider University of Freiburg

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