Andrew D. Hwang

Holy Cross Mathematics and Computer Science

Last modified: May 19, 2021

Biographical Information

Contact Information

• Tel: (508) 793-2458
• 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.

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 Mathqématique 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., to appear. (With X. Wang.)

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. MAA Review of Differential Geometry of Curves and Surfaces by Shoshichi Kobayashi.
8. Coronavirus cases are growing exponentially—here's what that means, The Conversation, April 2020.

Textbook Manuscripts

1. Sets, Groups, and Mappings: An Introduction to Abstract Mathematics, AMSTEXT 39. Accompanying software.
2. An Introduction to Proofs, 2018.
3. Multivariable Calculus Workbook, 2017.
4. Passport Math Functions Workbook, 2016.
5. Algebraic Structures, 2015. (Published with added material as Sets, Groups, and Mappings.)
6. Principles of Analysis, 2015. Material added: Real Analysis, 2019.
7. Linear Algebra, 2015.
8. Calculus for Mathematicians, Physicists, and Computer Scientists, 2003.
9. A Beginner's Guide to Holomorphic Manifolds, 1999.

Public Domain ebooks

Listed on a separate page.

Software

1. ePiX: A utility for creating camera-quality line figures in LaTeX, available from CTAN or the project homepage
2. pglatex: Programs used at Project Gutenberg to prepare LaTeX ebooks for publication.