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Prof Ben Andrews, FAA

Professor of Mathematics, ARC Australian Laureate Fellow

 https://orcid.org/0000-0002-6507-0347
Calculated based on number of publications stored in Pure and citations from Scopus
Calculated based on number of publications stored in Pure and citations from Scopus
Calculated based on number of publications stored in Pure and citations from Scopus
1994 …2021

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  • 2015

    Moduli of continuity, isoperimetric profiles, and multi-point estimates in geometric heat equations

    Andrews, B., 21 Apr 2015, Surveys in Differential Geometry Volume 19 (2014): Regularity and evolution of nonlinear equations: Essays dedicated to Richard Hamilton, Leon Simon, and Karen Uhlenbeck. Cao, H-D., Schoen, R. & Yau, S-T. (eds.). Somerville, MA, U.S.A.: International Press, p. 1-47 (Surveys in Differential Geometry; vol. 19).

    Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

  • 2011

    An Algebraic Identity for Curvature Operators

    Andrews, B. & Hopper, C., 2011, The Ricci Flow in Riemannian Geometry: A Complete Proof of the Differentiable 1/4-Pinching Sphere Theorem. Springer Verlag, p. 193-221 29 p. (Lecture Notes in Mathematics; vol. 2011).

    Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

    1 Citation (Scopus)

  • Background Material

    Andrews, B. & Hopper, C., 2011, The Ricci Flow in Riemannian Geometry: A Complete Proof of the Differentiable 1/4-Pinching Sphere Theorem. Springer Verlag, p. 11-47 37 p. (Lecture Notes in Mathematics; vol. 2011).

    Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

  • Evolution of the Curvature

    Andrews, B. & Hopper, C., 2011, The Ricci Flow in Riemannian Geometry: A Complete Proof of the Differentiable 1/4-Pinching Sphere Theorem. Springer Verlag, p. 63-82 20 p. (Lecture Notes in Mathematics; vol. 2011).

    Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

  • Harmonic Mappings

    Andrews, B. & Hopper, C., 2011, The Ricci Flow in Riemannian Geometry: A Complete Proof of the Differentiable 1/4-Pinching Sphere Theorem. Springer Verlag, p. 49-62 14 p. (Lecture Notes in Mathematics; vol. 2011).

    Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

  • Introduction

    Andrews, B. & Hopper, C., 2011, The Ricci Flow in Riemannian Geometry: A Complete Proof of the Differentiable 1/4-Pinching Sphere Theorem. Springer Verlag, p. 1-9 9 p. (Lecture Notes in Mathematics; vol. 2011).

    Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

  • Preserving Positive Isotropic Curvature

    Andrews, B. & Hopper, C., 2011, The Ricci Flow in Riemannian Geometry: A Complete Proof of the Differentiable 1/4-Pinching Sphere Theorem. Springer Verlag, p. 235-258 24 p. (Lecture Notes in Mathematics; vol. 2011).

    Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

  • Regularity and Long-Time Existence

    Andrews, B. & Hopper, C., 2011, The Ricci Flow in Riemannian Geometry: A Complete Proof of the Differentiable 1/4-Pinching Sphere Theorem. Springer Verlag, p. 137-143 7 p. (Lecture Notes in Mathematics; vol. 2011).

    Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

  • Short-Time Existence

    Andrews, B. & Hopper, C., 2011, The Ricci Flow in Riemannian Geometry: A Complete Proof of the Differentiable 1/4-Pinching Sphere Theorem. Springer Verlag, p. 83-95 13 p. (Lecture Notes in Mathematics; vol. 2011).

    Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

  • The Compactness Theorem for Riemannian Manifolds

    Andrews, B. & Hopper, C., 2011, The Ricci Flow in Riemannian Geometry: A Complete Proof of the Differentiable 1/4-Pinching Sphere Theorem. Springer Verlag, p. 145-159 15 p. (Lecture Notes in Mathematics; vol. 2011).

    Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

    1 Citation (Scopus)

  • The Cone Construction of Böhm and Wilking

    Andrews, B. & Hopper, C., 2011, The Ricci Flow in Riemannian Geometry: A Complete Proof of the Differentiable 1/4-Pinching Sphere Theorem. Springer Verlag, p. 223-233 11 p. (Lecture Notes in Mathematics; vol. 2011).

    Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

  • The F-Functional and Gradient Flows

    Andrews, B. & Hopper, C., 2011, The Ricci Flow in Riemannian Geometry: A Complete Proof of the Differentiable 1/4-Pinching Sphere Theorem. Springer Verlag, p. 161-171 11 p. (Lecture Notes in Mathematics; vol. 2011).

    Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

    5 Citations (Scopus)

  • The Final Argument

    Andrews, B. & Hopper, C., 2011, The Ricci Flow in Riemannian Geometry: A Complete Proof of the Differentiable 1/4-Pinching Sphere Theorem. Springer Verlag, p. 259-269 11 p. (Lecture Notes in Mathematics; vol. 2011).

    Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

  • The ricci flow in riemannian geometry: A complete proof of the differentiable 1/4-pinching sphere Theorem

    Andrews, B. & Hopper, C., 2011, The Ricci Flow in Riemannian Geometry: A Complete Proof of the Differentiable 1/4-Pinching Sphere Theorem. Springer Verlag, p. 1-313 313 p. (Lecture Notes in Mathematics; vol. 2011).

    Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

    33 Citations (Scopus)

  • The Weak Maximum Principle

    Andrews, B. & Hopper, C., 2011, The Ricci Flow in Riemannian Geometry: A Complete Proof of the Differentiable 1/4-Pinching Sphere Theorem. Springer Verlag, p. 115-135 21 p. (Lecture Notes in Mathematics; vol. 2011).

    Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

  • The W-Functional and Local Noncollapsing

    Andrews, B. & Hopper, C., 2011, The Ricci Flow in Riemannian Geometry: A Complete Proof of the Differentiable 1/4-Pinching Sphere Theorem. Springer Verlag, p. 173-191 19 p. (Lecture Notes in Mathematics; vol. 2011).

    Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

  • Uhlenbeck’s Trick

    Andrews, B. & Hopper, C., 2011, The Ricci Flow in Riemannian Geometry: A Complete Proof of the Differentiable 1/4-Pinching Sphere Theorem. Springer Verlag, p. 97-113 17 p. (Lecture Notes in Mathematics; vol. 2011).

    Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

  • 2002

    Notes on the isometric embedding problem and the Nash-Moser implicit function theorem

    Andrews, B., 2002, Special Program on Spectral and Scattering Theory: Surveys in Analysis and Operator Theory. H. A. (ed.). 1 ed. Canberra, Australia: Australian National University , Vol. 40. p. 157-208

    Research output: Chapter in Book/Report/Conference proceeding › Chapter

  • Positively curved surfaces in the Three-sphere

    Andrews, B., 2002, Proceedings of the International Congress of Mathematicians. T. LI. (ed.). 1st ed. Beijing, China: Higher Education Press, Vol. 2. p. 221-230

    Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review