Andrew D. Hwang
Mathematics and Computer Science
Last modified: May 19, 2021
- Tel: (508) 793-2458
ahwang -at- holycross -dot- edu
2006–present: College of the Holy Cross, Associate
2000–2006: College of the Holy Cross, Assistant
1995–1999: University of Toronto, Assistant Professor
1994–1995: Osaka University, JSPS Postdoctoral Research
1993–1994: California State University at Hayward,
Summer, 1993: University of California, Berkeley, Summer
Ph.D. 1993 (Mathematics) University of California, Berkeley
A.B. 1986 (Mathematics) University of California, Berkeley
Scholarly and Professional Work
Global Analysis: Existence of extremal
Kähler metrics on compact manifolds, and energy minimization;
variations of the Kähler class.
Differential Geometry of Complex Manifolds:
Momentum construction of Kähler metrics of specified scalar
curvature in Hermitian disk bundles. Conformality of Kähler
metrics to Einstein metrics on complex surfaces.
Complex Algebraic Geometry: Obstructions to
existence of extremal metrics on algebraic manifolds. Existence of
Kähler metrics of constant scalar curvature on manifolds with
reductive automorphism group.
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.
conjecture on the group of biholomorphisms of a
nonsingular Fano variety,
Int. J. Math., 4 (1993),
833–9. (with T. Mabuchi)
existence of Kähler metrics with constant scalar
curvature, Osaka J. Math.,
31 (1994), 561–595.
the Calabi energy of Extremal Kähler metrics,
Int. J. Math., 6 (1995),
metrics and the Calabi energy, Proc. Japan
Acad., Ser. A, 71, No. 6,
(1995) 128–129. (research announcement)
Kähler metrics on Hirzebruch surfaces,
Trans. AMS, 347 (1995),
1013–1021. (with S. R. Simanca)
Kähler metrics on Hirzebruch surfaces which are locally
conformally equivalent to Einstein metrics,
309 (1997), 97–106. (with S. R. Simanca)
momentum construction for circle-invariant Kähler
Trans. AMS 354 (2002),
2285–2325. (with M. A. Singer)
A symplectic look at surfaces of revolution,
l'Enseignement Mathqématique 49
metrics of non-constant curvature,
Trans. AMS 356 (2003),
2183–2203. (with G. Maschler)
stable fixed points of the QR algorithm,
Int. J. of Numerical Analysis and
Modeling 1 (2004), 147–156. (with
Spacetime slices and surfaces of revolution,
J. Math. Phys., 45 (2004) 4551–4559.
(with J. T. Giblin, Jr.)
Surface Geometry: Surveying a locally Euclidean universe,
Amer. Math. Monthly, 120 (2013), 487–499.
Clairaut Surfaces in Euclidean Three-Space, Tôhoku
Math. J., to appear. (With X. Wang.)
Writing in the Age of
LaTeX, Notices of the AMS, 42
A utility for creating mathematically accurate
TUGboat, 25 (2004), 172–176.
at Distributed Proofreaders and the electronic preservation of
mathematical literature at Project Gutenberg,
TUGboat, 32 (2011), 32–38.
billions, trillions: How to make sense of numbers in the
The Conversation, November 2017.
world on a billionaire’s budget,
The Conversation, January 2018.
and counting: How many humans can the earth
support?, The Conversation,
July 2018. (Translated into Portuguese,
Geometry of Curves and Surfaces by Shoshichi Kobayashi.
cases are growing exponentially—here's what that means, The Conversation,
Sets, Groups, and Mappings: An Introduction to Abstract
Mathematics, AMSTEXT 39. Accompanying
An Introduction to Proofs, 2018.
Multivariable Calculus Workbook, 2017.
Passport Math Functions Workbook, 2016.
Structures, 2015. (Published with added material
as Sets, Groups, and Mappings.)
of Analysis, 2015. Material added: Real
Linear Algebra, 2015.
Calculus for Mathematicians, Physicists, and Computer
A Beginner's Guide to Holomorphic Manifolds, 1999.
Public Domain ebooks
Listed on a separate page.
ePiX: A utility for creating camera-quality line figures
in LaTeX, available from
CTAN or the
pglatex: Programs used
Gutenberg to prepare LaTeX ebooks for