Papers and Other Writings

Last modified: November 7, 2023

Refereed Publications

Unstarred titles linked below are freely downloadable as PDF files. Starred items are available gratis if downloaded from a site with the appropriate repository access; hard copies can be mailed on request.

  1. (*) A conjecture on the group of biholomorphisms of a nonsingular Fano variety, Int. J. Math., 4 (1993), 833–9. (with T. Mabuchi)
  2. On existence of Kähler metrics with constant scalar curvature, Osaka J. Math., 31 (1994), 561–595.
  3. (*) On the Calabi energy of Extremal Kähler metrics, Int. J. Math., 6 (1995), 825–830.
  4. Extremal metrics and the Calabi energy, Proc. Japan Acad., Ser. A, 71, No. 6, (1995) 128–129. (research announcement)
  5. Distinguished Kähler metrics on Hirzebruch surfaces, Trans. AMS, 347 (1995), 1013–1021. (with S. R. Simanca)
  6. (*) Extremal Kähler metrics on Hirzebruch surfaces which are locally conformally equivalent to Einstein metrics, Math. Annalen, 309 (1997), 97–106. (with S. R. Simanca)
  7. A momentum construction for circle-invariant Kähler metrics, Trans. AMS 354 (2002), 2285–2325. (with M. A. Singer)
  8. A symplectic look at surfaces of revolution, l'Enseignement Mathématique 49 (2003), 157–172.
  9. Central metrics of non-constant curvature, Trans. AMS 356 (2003), 2183–2203. (with G. Maschler)
  10. Neutrally stable fixed points of the QR algorithm, Int. J. of Numerical Analysis and Modeling 1 (2004), 147–156. (with D. Day)
  11. (*) Spacetime slices and surfaces of revolution, J. Math. Phys., 45 (2004) 4551–4559. (with J. T. Giblin, Jr.)
  12. (*) Paper Surface Geometry: Surveying a locally Euclidean universe, Amer. Math. Monthly, 120 (2013), 487–499.
  13. Clairaut Surfaces in Euclidean Three-Space, Tôhoku Math. J., 74 no. 2 (2022) 215–227. (With X. Wang.)
  14. Impact craters and the observability of ancient martian shorelines, Icarus, 387 (2022), 115178; with M. Baum and S. Sholes.

Non-Refereed Publications

  1. Writing in the Age of LaTeX, Notices of the AMS, 42 (1995), 878–884.
  2. ePiX: A utility for creating mathematically accurate figures, TUGboat, 25 (2004), 172–176.
  3. LaTeX at Distributed Proofreaders and the electronic preservation of mathematical literature at Project Gutenberg, TUGboat, 32 (2011), 32–38.
  4. Millions, billions, trillions: How to make sense of numbers in the news, The Conversation, November 2017.
  5. The world on a billionaire’s budget, The Conversation, January 2018.
  6. 7.5 billion and counting: How many humans can the earth support?, The Conversation, July 2018. (Translated into Portuguese, Spanish, and Indonesian.)
  7. Differential Geometry of Curves and Surfaces by Shoshichi Kobayashi (MAA Review, March 2019).
  8. Coronavirus cases are growing exponentially—here's what that means, The Conversation, April 2020.
  9. Generalized Ricci Flow by Mario Garcia-Fernandez and Jeffrey Streets (MAA Review, August 2021).
  10. Geometry and Topology of Manifolds: Surfaces and Beyond by Vicente Muñoz, Ángel González-Prieto, and Juan Ángel Rojo (MAA Review, February 2022).
  11. Semantic Coding in LaTeX, Notices of the AMS, 70 (2023), 935–938 (link points to full issue).