Papers and Other Writings
Last modified: November 7, 2023
Refereed Publications
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(*) A
conjecture on the group of biholomorphisms of a
nonsingular Fano variety,
Int. J. Math., 4 (1993),
833–9. (with T. Mabuchi)

On
existence of Kähler metrics with constant scalar
curvature, Osaka J. Math.,
31 (1994), 561–595.

(*) On
the Calabi energy of Extremal Kähler metrics,
Int. J. Math., 6 (1995),
825–830.

Extremal
metrics and the Calabi energy, Proc. Japan
Acad., Ser. A, 71, No. 6,
(1995) 128–129. (research announcement)

Distinguished
Kähler metrics on Hirzebruch surfaces,
Trans. AMS, 347 (1995),
1013–1021. (with S. R. Simanca)

(*) Extremal
Kähler metrics on Hirzebruch surfaces which are locally
conformally equivalent to Einstein metrics,
Math. Annalen,
309 (1997), 97–106. (with S. R. Simanca)

A
momentum construction for circleinvariant Kähler
metrics,
Trans. AMS 354 (2002),
2285–2325. (with M. A. Singer)

A symplectic look at surfaces of revolution,
l'Enseignement Mathématique 49
(2003), 157–172.

Central
metrics of nonconstant curvature,
Trans. AMS 356 (2003),
2183–2203. (with G. Maschler)

Neutrally
stable fixed points of the QR algorithm,
Int. J. of Numerical Analysis and
Modeling 1 (2004), 147–156. (with
D. Day)

(*)
Spacetime slices and surfaces of revolution,
J. Math. Phys., 45 (2004) 4551–4559.
(with J. T. Giblin, Jr.)

(*) Paper
Surface Geometry: Surveying a locally Euclidean universe,
Amer. Math. Monthly, 120 (2013), 487–499.

Clairaut Surfaces in Euclidean ThreeSpace, Tôhoku
Math. J., 74 no. 2 (2022)
215–227. (With X. Wang.)

Impact
craters and the observability of ancient martian
shorelines, Icarus, 387 (2022),
115178; with M. Baum and S. Sholes.
NonRefereed Publications

Writing in the Age of
LaTeX, Notices of the AMS, 42
(1995), 878–884.

ePiX
:
A utility for creating mathematically accurate
figures,
TUGboat, 25 (2004), 172–176.

LaTeX
at Distributed Proofreaders and the electronic preservation of
mathematical literature at Project Gutenberg,
TUGboat, 32 (2011), 32–38.

Millions,
billions, trillions: How to make sense of numbers in the
news,
The Conversation, November 2017.

The
world on a billionaire’s budget,
The Conversation, January 2018.

7.5 billion
and counting: How many humans can the earth
support?, The Conversation,
July 2018. (Translated into Portuguese,
Spanish,
and
Indonesian.)

Differential
Geometry of Curves and Surfaces
by Shoshichi Kobayashi (MAA Review, March 2019).

Coronavirus
cases are growing exponentially—here's what that means, The Conversation,
April 2020.

Generalized Ricci Flow
by Mario GarciaFernandez and
Jeffrey Streets (MAA Review, August 2021).

Geometry
and Topology of Manifolds: Surfaces and Beyond by
Vicente Muñoz, Ángel GonzálezPrieto, and Juan Ángel Rojo
(MAA Review, February 2022).

Semantic
Coding in LaTeX, Notices of the AMS, 70
(2023), 935–938 (link points to full issue).