Andrew D. Hwang
Holy Cross
Mathematics and Computer Science
Last modified: May 19, 2021
Biographical Information
Contact Information
 Tel: (508) 7932458
 Email:
ahwang at holycross dot edu
Employment

2006–present: College of the Holy Cross, Associate
Professor

2000–2006: College of the Holy Cross, Assistant
Professor

1995–1999: University of Toronto, Assistant Professor

1994–1995: Osaka University, JSPS Postdoctoral Research
Fellow

1993–1994: California State University at Hayward,
Instructor

Summer, 1993: University of California, Berkeley, Summer
Instructor
Degrees

Ph.D. 1993 (Mathematics) University of California, Berkeley

A.B. 1986 (Mathematics) University of California, Berkeley
Scholarly and Professional Work
Mathematical Interests
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.
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.

(*) 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 Mathqématique 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., to appear. (With X. Wang.)
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 billionaireâ€™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.)

MAA
Review
of Differential
Geometry of Curves and Surfaces by Shoshichi Kobayashi.

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

Sets, Groups, and Mappings: An Introduction to Abstract
Mathematics, AMSTEXT 39. Accompanying
software.

An Introduction to Proofs, 2018.

Multivariable Calculus Workbook, 2017.

Passport Math Functions Workbook, 2016.

Algebraic
Structures, 2015. (Published with added material
as Sets, Groups, and Mappings.)

Principles
of Analysis, 2015. Material added: Real
Analysis, 2019.

Linear Algebra, 2015.

Calculus for Mathematicians, Physicists, and Computer
Scientists, 2003.

A Beginner's Guide to Holomorphic Manifolds, 1999.
Public Domain ebooks
Listed on a separate page.
Software

ePiX
: A utility for creating cameraquality line figures
in LaTeX, available from
CTAN or the
project homepage

pglatex
: Programs used
at Project
Gutenberg to prepare LaTeX ebooks for
publication.