Andrew D. Hwang

BIOGRAPHICAL INFORMATION

Contact Information

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

ACADEMIC HISTORY

Degrees

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

• A.B. 1986 (Mathematics) University of California, Berkeley

Research 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.

SCHOLARLY AND PROFESSIONAL WORK

Refereed Publications

Some of the articles below are available online as PDF files. Please send email if you'd like hard copies instead.

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.)

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.

Software

1. ePiX--a utility for creating camera-quality line figures in LaTeX, available from CTAN or the project homepage