Professor Information

Guihua Gong

Address College of Natural Sciences
Department of Mathematics
17 University Ave. Ste 1701
San Juan, PR 00925-2537
Office NCN II C-115
Office Hours
Program
Telephone (787) 764-0000 88261
E-Mail ude.rpu@gnog.auhiug
MathSciNet Link

Education

PhD, State University of New York, Stony Brook, 1990

Research

Functional Analysis; Algebra of Operators; Index Theory; Global Analysis; Noncommutative Differential Geometry

Selected Publications

  1. Gong, Guihua: On the classification of simple inductive limit C*-algebras. I. The reduction theorem. Doc. Math. 7 (2002), 255–461
  2. Gong, Guihua (joint with Li, Liangqing and Elliott, George): On the classification of simple inductive limit C*-algebras. II. The isomorphism theorem. Invent. Math. 168 (2007), no. 2, 249–320.
  3. Gong, Guihua (joint with Wang, Qin and Yu, Guoliang): Geometrization of the strong Novikov conjecture for residually finite groups. J. Reine Angew. Math. 621 (2008), 159–189.
  4. Gong, Guihua (joint with Elliott, George): On the classification of C*-algebras of real rank zero. II. Ann. of Math. (2) 144 (1996), no. 3, 497–610. 46L05 (19K56 46L80)
  5. Gong, Guihua: Relative K-cycles and local elliptic boundary conditions. Comm. Partial Differential Equations 21 (1996), no. 1-2, 341–362. (Annouced as on Bull. Amer. Math. Soc. (N.S.) 28 (1993), no. 1, 104–108.)

Selected Grants and Awards

  1. NSF grant DMS 9401515, June 1994 –May 1996
  2. NSF grant DMS 9622250, June 1996 –May 1999
  3. NSF grant DMS 9970840, June 1999–May 2002 (Total: $130,551)
  4. NSF grant DMS 0200739, June 2002–April 2007 (Total: $222,925)
  5. NSF grant DMS 0701150 July 2007–June 2010 (Total: $195,000)
  6. DEPSCoR grant 40998-MA-DPS, June 2000 –May 2003
    (Total: $352,500)
  7. Ulam Visiting Professor, University of Colorado,
    Boulder, Dec. 1997–Feb. 1998.
  8. Israel Halperin Prize, June, 2000.
  9. UPR Scholarly Productivity award, 2000.
  10. Early promotion to full professor on distinct merit, July 2001.

Additional Information

Editor-in-Chief: Communications in Mathematical Research

Editorial Board: Journal of Topology and Analysis (World Scientific)


Gong and Li

Science Watch highlights work of Gong, Li and Elliot