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D-Index & Metrics

Mathematics

D-Index
41
Citations
7085
World Ranking
1909
National Ranking
130

Overview

Ronald Brown is affiliated with Bangor University in the United Kingdom, focusing primarily on mathematics and its applications in related fields. Their research contributions span topics including homotopy and cohomology in algebraic topology, geometric and algebraic topology, mathematical physics, and areas intersecting with molecular biology and materials chemistry.

The scientist's published works include several papers reflecting a diverse engagement with both theoretical and applied aspects of their fields. Notable papers include:

  • "Updated resources for exploring experimentally-determined PDB structures and Computed Structure Models at the RCSB Protein Data Bank," 2024, Nucleic Acids Research
  • "Not Just an Idle Game," 2021, The Mathematical Intelligencer
  • Towards a 2-dimensional notion of holonomy," 2022, The Journal of Geometric Mechanics
  • "Not just an idle game": (examining some historical conceptual arguments in homotopy theory)," 2020, arXiv (Cornell University)
  • "Not just an idle game" (the story of higher dimensional versions of the Poincaré fundamental group)," 2021, arXiv (Cornell University)

Their frequent publication venues reflect a combination of specialized mathematics journals and open-access preprint archives. The primary venues include:

  • The Journal of Geometric Mechanics
  • arXiv (Cornell University)
  • Nucleic Acids Research
  • The Mathematical Intelligencer
  • Theory and Applications of Categories

Frequent collaborators in Ronald Brown's research include colleagues such as S.K. Burley, R K Bhatt, Charmi Bhikadiya, Chunxiao Bi, and Alison Biester. These collaborations indicate interdisciplinary interactions, particularly involving structural biology and computational modeling elements as suggested by some coauthored publications.

The core topics of Ronald Brown's research portfolio cover:

  • Homotopy and Cohomology in Algebraic Topology
  • Geometric and Algebraic Topology
  • Enzyme Structure and Function
  • Protein Structure and Dynamics
  • Advanced Proteomics Techniques and Applications
  • Algebraic structures and combinatorial models
  • History and Theory of Mathematics

Subfields of study further elaborate on the breadth within mathematical and scientific domains, including:

  • Mathematical Physics
  • Geometry and Topology
  • Materials Chemistry
  • Molecular Biology
  • Spectroscopy

Through this combination of mathematical theory and aspects linked to molecular biology and chemistry, Ronald Brown exemplifies a multidisciplinary approach within academic research. Their work integrates abstract mathematical concepts with practical scientific applications, reflected in the diversity of publication venues and topics explored.

Best Publications

  • Van Kampen theorems for diagrams of spaces

    Ronald Brown;Jean-Louis Loday

  • From Groups to Groupoids: a Brief Survey

    Ronald Brown

  • G-groupoids, crossed modules and the fundamental groupoid of a topological group

    Ronald Brown;Christopher B Spencer

  • On the algebra of cubes

    Ronald Brown;Philip J. Higgins

  • Topology and Groupoids

    Ronald Brown

  • Elements of Modern Topology

    Ronald Brown

  • Colimit theorems for relative homotopy groups

    Ronald Brown;Philip J. Higgins

  • Groupoids and crossed objects in algebraic topology

    Ronald Brown

  • Nonabelian Algebraic Topology

    Ronald Brown;Philip J. Higgins;Rafael Sivera

  • Double groupoids and crossed modules

    Ronald Brown;Christopher B. Spencer

  • ON THE CONNECTION BETWEEN THE SECOND RELATIVE HOMOTOPY GROUPS OF SOME RELATED SPACES

    Ronald Brown;Philip J. Higgins

  • Topology: A Geometric Account of General Topology Homotopy Types and the Fundamental Groupoid

    Ronald Brown

  • Identities among relations

    R. Brown;J. Huebschmann

  • Tensor products and homotopies for ω-groupoids and crossed complexes

    Ronald Brown;Philip J. Higgins

  • Determination of a double Lie groupoid by its core diagram

    Ronald Brown;Kirill C.H. Mackenzie;Kirill C.H. Mackenzie

  • Algebraic Models of 3‐Types and Automorphism Structures for Crossed Modules

    Ronald Brown;N. D. Gilbert

  • The classifying space of a crossed complex

    Ronald Brown;Philip J. Higgins

  • Groupoids and Van Kampen's Theorem

    R. Brown

  • Fibrations of Groupoids

    Ronald Brown

  • The equivalence of $\infty $-groupoids and crossed complexes

    Ronald Brown;Philip J. Higgins

Frequent Co-Authors

Ross Street
Ross Street Macquarie University
Jean-Louis Loday
Jean-Louis Loday University of Strasbourg

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