University of Puerto Rico    (787) 764 0000

    Professor Information

    Guihua Gong

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

    Education

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

    Research Interests

    Análisis Funcional, Álgebras de Operadores, Teoría de índices, Análisis Global, Geometrí­a Diferencial Noconmutativa

    Selected Publications

    1. Guihua Gong, G. Elliott, H. Lin and Z. Niu, Simple stably projectionless C*-algebras with generalized tracial rank one, J. Noncomm. Geom., 14 (2020), No. 1, 251--347.
    2. Guihua Gong, G. Elliott, H. Lin and Z. Niu, The classification of simple separable KK-contractible C*-algebras with finite nuclear dimension, Journal of Geometry and Physics, 158(2020) 103861, 1--51.
    3. Guihua Gong, H. Lin, On classification of non-unital amenable simple C*-algebras, II, Journal of Geometry and Physics, 158(2020) 103865, 1--102.
    4. Guihua Gong, C. Jiang and K. Wang, A Survey on Classification of $C^*$-Algebras with the Ideal Property, Operator Theory: Advances and Applications, volume 278 (December 2020), 267-287.
    5. Guihua Gong, H. Lin and Z. Niu, A classification of finite simple amenable Z-stable C*-algebras, II: C*-algebras with rational generalized tracial rank one, C. R. Math. Rep. Acad. Sci. Canada, 42 (4) 2020, 451--539.
    6. Guihua Gong, H. Lin and Z. Niu, A classification of finite simple amenable Z-stable $C^*$-algebras, I: $C^*$-algebras with generalized tracial rank one, C. R. Math. Rep. Acad. Sci. Canada, 42 (3) 2020, 63--450.
    7. Guihua Gong, L. Li, C. Jiang, Hausdorffized algebraic $K_1$ group and invariants for $C^*$-algebras with the ideal property, Ann. K-Theory} 5 (2020), no. 1, 43-78.
    8. Guihua Gong, L. Li, C. Jiang and C. Pasnicu. A reduction theorem for AH algebras with the ideal property, International Mathematics Research Notices, IMRN 2018, no. 24, 7606--7641.
    9. Gong, Guihua: On the classification of simple inductive limit C*-algebras. I. The reduction theorem. Doc. Math. 7 (2002), 255--461
    10. 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.
    11. 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)
    12. 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.)

    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.
    11. Elected AMS fellow. 2023 AMS Fellows Class
    12. Received Frontier of Science (mathematics) award (joint with Huaxin Lin and Zhuang Niu)

    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