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Mathematics

D-Index
38
Citations
5506
World Ranking
2369
National Ranking
997

Overview

Charles P. Boyer is affiliated with the University of New Mexico in the United States. Their primary field of study is Mathematics, with a focus on Geometry and Topology. They have a substantial body of work addressing topics related to geometry, algebraic topology, and applied mathematics.

The major research themes in their work include:

  • Geometry and complex manifolds
  • Geometric Analysis and Curvature Flows
  • Algebraic Geometry and Number Theory
  • Geometric and Algebraic Topology
  • Homotopy and Cohomology in Algebraic Topology
  • Children's Physical and Motor Development
  • Financial Literacy, Pension, Retirement Analysis

Frequent co-authors collaborating with Boyer include:

  • Christina W. Tønnesen-Friedman
  • Hongnian Huang
  • Éveline Legendre
  • Heather L.L. Rotz
  • Anastasia Alpous

Boyer's published research appears regularly in several venues, with notable recurring publications in:

  • arXiv (Cornell University)
  • Differential Geometry and its Applications
  • Mathematische Zeitschrift
  • Knowledge@UChicago (University of Chicago)
  • Annales de la faculté des sciences de Toulouse Mathématiques

Selected recent papers authored or co-authored by Boyer include:

  • "Public Pensions and State Government Borrowing Costs" (2020) published in Knowledge@UChicago (University of Chicago)
  • "Existence and non-existence of constant scalar curvature and extremal Sasaki metrics" (2023) in Mathematische Zeitschrift
  • "Sasakian geometry on sphere bundles II: Constant scalar curvature" (2024) in Differential Geometry and its Applications
  • "Iterated S³ Sasaki Joins and Bott Orbifolds" (2022) in Annales de la faculté des sciences de Toulouse Mathématiques

Boyer's interdisciplinary approach also touches on subjects linking mathematics with sociology and political science, as reflected in some of their publications and collaboration with experts in developmental and educational psychology, as well as topics related to children's physical and motor development.

Best Publications

  • Killing vectors in self‐dual, Euclidean Einstein spaces

    C. P. Boyer;J. D. Finley

  • ON SASAKIAN–EINSTEIN GEOMETRY

    Charles P. Boyer;Krzysztof Galicki

  • The geometry and topology of 3-Sasakian manifolds.

    Charles P. Boyer;K. Galicki;B. Mann

  • Einstein metrics on spheres

    Charles P. Boyer;Krzysztof Galicki;János Kollár

  • On Eta-Einstein Sasakian Geometry

    Charles P. Boyer;Krzysztof Galicki;Paola Matzeu

  • 3-Sasakian manifolds

    Charles P. Boyer;Krzysztof Galicki

  • Symmetry and separation of variables for the Helmholtz and Laplace equations

    C. P. Boyer;C. P. Boyer;C. P. Boyer;E. G. Kalnins;E. G. Kalnins;E. G. Kalnins;Willard Miller

  • Canonical Sasakian Metrics

    Charles P. Boyer;Krzysztof Galicki;Santiago R. Simanca

  • A note on toric contact geometry

    Charles P. Boyer;Krzysztof Galicki

  • On the geometry of Sasakian-Einstein 5-manifolds

    Charles P. Boyer;Krzysztof Galicki;Michael Nakamaye

  • A note on hyperhermitian four-manifolds

    Charles P. Boyer

  • A note on hyper-Hermitian four-manifolds

    Charles P. Boyer

  • Einstein manifolds and contact geometry

    Charles Boyer;Krzysztof Galicki

  • An infinite hierarchy of conservation laws and nonlinear superposition principles for self‐dual Einstein spaces

    Charles P. Boyer;Jerzy F. Plebański

  • The topology of instanton moduli spaces, I: The Atiyah-Jones conjecture

    C. P. Boyer;J. C. Hurtubise;B. M. Mann;R. J. Milgram

  • Compact 3-Sasakian 7-manifolds with arbitrary second Betti number

    Charles P. Boyer;Krzysztof Galicki;Benjamin M. Mann;Elmer G. Rees

  • New Einstein Metrics in Dimension Five

    Charles P. Boyer;Krzysztof Galicki

  • Quaternionic reduction and Einstein manifolds

    Charles P. Boyer;Krzysztof Galicki;Benjamin M. Mann

  • Conformal Duality and Compact Complex Surfaces

    Charles P. Boyer

  • The Maximal 'Kinematical' Invariance Group for an Arbitrary Potential

    Charles P. Boyer

  • Structures on Manifolds

    Charles P. Boyer;Krzysztof Galicki

Frequent Co-Authors

Willard Miller
Willard Miller University of Minnesota
Ernie G. Kalnins
Ernie G. Kalnins University of Waikato
Jerzy F. Plebański
Jerzy F. Plebański Instituto Politécnico Nacional
János Kollár
János Kollár Princeton University
Pavel Winternitz
Pavel Winternitz University of Montreal

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