Guihua Gong

Address Department of Mathematics, University of Puerto Rico
Box 70377 San Juan, PR 00936-8377
Office NCN II C-115
Office Hours
Program
Telephone (787) 764-0000 3429
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