Shuang Zhang

Joined the Department of Math Sciences of UC in 1990.
The first recipient of Taft Award for Distinguished Faculty Achievement in 1996. 
Taught numerous math courses from high-school level to Ph.D.level since 1978.
Research interests and publications mainly in Operator Algebras/Functional Analysis, a math branch called Morden Analysis.
Research supported by the National Science Foundation during 1989-1999.
Serve as a referee for about 20 math journals with worldwide circulation, for the National Science Foundation, and for some book publishers.
Organized or co-organized 10 math domestics/international conferences/worlshops.
Frequently invited as a main speaker of special sessions of the American Math Society and of domestic/international math conferences.
http://math.uc.edu/~zhangs/index.htm

Ph.D. in math: Purdue University Indiana/USA, 1988 (Functional Analysis, Operator Algebras, C*-Algebras.)

MS in math: Capital Normal University, Beijing China, 1982 (Functional Analysis)

Pure Math: Operator Theory. Theory of C*-algebras and von Neumann
algebras. K-theory.  Homotopy Theory. Fredholm Index Theory.

2010 -2020 Department Head,

1997 - Professor of Math, University of Cincinnati,

1993 -1997 Associate Professor of Math, University of Cincinnati,

1990 -1993 Assistant Professor of Math, University of Cincinnati, Ohio/USA

1988 -1990 Math Instructor and research, University of Kansas, Kansas/USA

1988 -To Present as visiting scholar with, numerous short-term visits:, Univ. of Copenhagen/Denmark, China Sinica, MorningStart Math Research Institute, Zhejiang University, Univ. of Illinois/Urbana, Univ. of Toronto/Canada, Fields Institute/Canada, Univ. of Victoria/Canada, Capital Normal Univ./China, Beijing Normal Univ./China, Beijing Information & Technology Univ./China, East Normal Univ. /China, Nanjing University/China, Fudan Univ./China, Central Univ. of Finance & Economics/China, Xi'an Normal Univ./China, China Ocean University, QingDao University, QvFu Normal University, Tsinghua Sanya International Mathematics Forum at Sanya, National Sun Yat-sen University in Taiwan,....... ,

1982 -1983 Lecturer , Capital Normal University, Beijing/China

1978 -1980 High School Math Teacher, Xinqiaolu High School, Beijing/China

1996 - Distinguished Faculty Achievement Award - only one at UC,

Grant: #281966 Investigators:Zhang, Shuang 09-01-2013 -08-31-2018 Simons Foundation Structure of Operator Algebras Role:PI Active

Grant: #DMS-0649960 Investigators:Halpern, Herbert; Kaftal, Victor; Peligrad, Costel; Weiss, Gary; Zhang, Shuang 04-01-2007 -03-31-2009 National Science Foundation Collaborative Research: Operator Theory/Operator Algebras, GPOTS 07-08 Role:Collaborator

Investigators:Kaftal, Peligrad, Weiss, Zhang BAD DATE -BAD DATE NSF 2013, Operator Algebras and Applications Role:Co-PI Type:Grant

Grant: #DMS - 9626592 1997 -1999 NSF Type:Grant

Grant: #DMS - 9225076 1993 -1997 NSF Type:Grant

Grant: #DMS-8921369 1992 -1993 NSF Young Investigator Type:Grant

Grant: #DMS - 9002958 1990 -1992 NSF Type:Grant

1990 -2009 Taft Grants - Several Summers

Grant: #DMS - 8902371 1989 -1991 NSF Type:Grant

Peer Reviewed Publications

Strict comparison of positive elements in multipler algebras,  Canadian J. of Math 69(2017)2, 373 - 407 (joint work with Kaftal and Ng).

Projections in C*-algebras and strict comparison (joint work with Kaftal and Ng),   Operator Theory: The State of Art, Theta, Bucharest, 2016, page 53-74.

Strict comparison of projections and positive combinations of projections in certain multiplier algebras, J. of Operator Theory, 73(2015), 187 - 210    (joint work with  V. KAFTAL and P. W. NG).

Commutators and linear spans of projections in certain finite C*-algebras, J. Funct. Analysis, 266(2014)4, 1881-1912  (Joint work with Kaftal and Ng)

Finite sums of projections in von Neumann algebras, Trans. Amer. Math. Soc. 365(2013), 2409 - 2445 (joint work with Halpern, Kaftal, and Ng.)

Projection decomposition in multiplier algebras, Math. Ann.  352(2012)3,  543--566 (Joint work with V. Kaftal and Ping Ng).

Finite sums of projections in purely infinite C*-algebras with torsion K0, Proc. Amer Math Soc, 140(2012), 9, 3219 - 3227 (joint work with V. Kaftal and P. Ng)

 Positive combinations and sums of projections in purely infinite simple  C*-algebras and their multiplier algebras, Proc. Amer. Math. Soc 139(2011)8,  2735-2746 (joint work with Victor Kaftal and   P. W. Ng),

Positive combinations of projections in von Neumann algebras and purely infinite simple C*-algebras,  SCIENCE CHINA Mathematics, 54(2011)11, 2383 - 2393,  (joint work with V. Kaftal and P. Ng)

Operator-Valued  Frames, Trans. Amer. Math. Soc. 361 (2009) 6349-6385. ( Joint with V. Kaftal and David Larson).

Strong sums of projections   in von Neumann factors, J. Funct. Anal, 257 (2009), 2497-2529  (Joint work with V. Kaftal  and Ping Ng).

Operator-Valued Frames on Hilbert C*-modules, Contemporary Math No 451,  AMS- SIAM, 2007, 171-185 (Joint work with V. Kaftal and A. Larson).

Open problems around certain simple C*-algebras and multiplier algebras, Proceedings of the 2007 International Congress of Chinese Mathematicians (ICCM), Vol.1(2007), 674 - 692.

C*-algebras generated by a projection and the reduced group C*-algebras C*_rZ*Z_n and C^*_rZ_m*Z_n$, Int. J. Math. 16(2005)5, pages 1-22.

Toeplitz algebras and C*-algebras arising from reduced reduced group C*-algebras. Illinois J. Math, 48(2004)1, 199-218.

 K-theory of certain C*-algebras associated with free products of cyclic groups. Journal of Operator Theory, 45(2001), 251-264 (joint with W. Szymanski).

On the homotopy type of the unitary group and the Grassmann space of purely infinite simple C*-algebras. K-Theory, 24(2001), 203-225.

Type II1 factors generated by purely infinite simple C*-algebras associated with free groups. Proc. Amer. Math. Soc., 128(1999), 813-818 (Joint with W. Szymanski).

 Purely infinite simple C*-algebras arising from the reduced group C*-algebras. Contem. Math., 228(1998), 365-389.

Rectifiable diameters of the Grassmann spaces of von Neumann algebras and certain C*-algebras. Pacific J. of Math., 177(1997), 377-396.

Toeplitz algebras and infinite simple C*-algebras associated with reduced group C*-algebras. Math. Scand., 81(1997), 86-100.

Infinite Simple C*-algebras and reduced cross products of abelian C*-algebras and free groups. Manu. Math., 92(1997), 487-514 (Joint with W. Szymanski).

Quasi-diagonalizing unitaries and the generalized Weyl-von Neumann theorem, Birkhauser Boston, Boston, MA, 1995.

K-theory and homotopy of certain groups and infinite Grassmann spaces associated with C*-algebras. Int. J. Math., 3(1994), 425-445.

Homotopy of projections and factorization in the unitary group of certain C*-algebras. Math. Scand., 73(1993), 281-306.

Exponential rank and exponential length of operators on Hilbert C*-modules. Annals of Mathematics, 137(1993), 129-144.

Factorizations of invertible operators and K-theory of C*-algebras. Bull. Amer. Math. Soc., 28(1993), 75-83.

K-theory and a bivariable Fredholm index. Contemporary Math., Amer. Math. Soc., 148(1993), 155-190.

Certain C_-algebras with real rank zero and their corona and multiplier algebras, Part IV. Inter. J. Math., 3(1992), 309-330.

Certain simple C*-algebras with nonzero real rank whose corona algebras have real rank zero. Houston J. Math., 18(1992), 57-71 (Joint with H. Lin).

Certain C_-algebras with real rank zero and their corona and multiplier algebras, Part II. K-Theory, 6(1992), 1-27.

On the exponential rank and exponential length of C*-algebras. J. Operator Theory, 28(1992), 337-355.

Certain C_-algebras with real rank zero and their corona and multiplier algebras, Part I. Pacific J. Math., 155(1992), 169-197.

Five problems on the structure of multiplier algebras of real rank zero. Contemporary Math., Amer. Math. Soc., 120(1991), 199-203.

On the ideal structure of generalized Calkin algebras. Contemporary Math., Amer. Math. Soc., 120(1991), 193-198.

On infinite simple C*-algebras. J. Funct. Anal., 100(1991), 221-231 (Joint with H. Lin).

Matricial structure and homotopy type of simple C*-algebras of real rank zero. J. Operator Theory, 26(1991), 283-312.

K1-groups, quasidiagonality and interpolation by multiplier projections. Trans. Amer. Math. Soc., 325(1991), 793-818.

Star-shaped sets and fixed point theorems of multivalued mappings. Math. Japonica, 36(1991), 327-334.

A Riesz decomposition property and ideal structure of multiplier algebras. J. Operator Theory, 24(1990), 209-225.

Diagonalizing projections in the multiplier algebra and matrices over a C*-algebra. Pacific J. Math., 145(1990), 181-200.

TrivialK1-flow of AF and finite von Neumann algebras. J. Funct. Anal., 92(1990), 77-91.

C*-algebras with real rank zero and the internal structure of their corona and multiplier algebras, Part III. Can. J. Math., 62(1990), 159-190.

 A property of purely infinite simple C*-algebras. Proc. Amer. Math. Soc., 109(1990), 717-720.

Stable isomorphism of hereditary C*-subalgebras and stable equivalence of open projections. Proc. Amer. Math. Soc., 105(1989), 677-682.

On the structure of projections and ideals of corona algebras. Canadian J. Math., 41(1989), 721-742.

Derivations and (hyper)invariant subspaces of a bounded operator. Proc. Amer. Math. Soc., 102(1988), 261-267.

Centeric sets, star-shaped sets and fixed points. Beijing Shiyuan Natural Science Monthly, 1(1981), 102-117.

The minimal ideal in multiplier algebras, accepted by J. of Operator Theory, 79(2018)2, 419-462 2017SS (joint work with Kaftal and Ng).

Book

Bi-variable Fredholm indices of invertible operators, Accepted by Springer-TUP, finalizing.

Operator Algebras and Operator Theory. Contem. Math. Book Series,  228 (1998) ,(Edited jointly with L. Ge, H. Lin, Z-J. Ruan, D. Zhang).

Invited Presentations

(05-2015. ) Plenary speaker at the Workshop on Operator Algebra and Harmonic Analysis, Tsinghua Sanya International Mathematics Forum (TSIMF), Hainan Province, China .

(08-2014. ) Plenary speaker at the Special Week on Operator Algebras, Shanghai, Eastern Normal University.

(07-2014. ) Invited talk at the National Sun Yat-sen University, Taiwen.

(04-2014. ) About Joint Programs of Chinese Institutions and US Universities, Beijing, China .

(04-2014. ) Awarded as Outstanding Alumini Honor and gave invited series lectures at the Capital Normal University, Beijing, China. Conference. .

(07-2013. ) Invited presentation "Operator Algebras and Applications" at the Qufu Normal University, Shangdong, China .

(06-2013. ) 7-lectures on the US education system, Capital Normal University, Beijing, China . Level:International

(06-2013. ) Invited presentation "Profection structure of C*-algebras" at the China Ocean University, Qingdao, China .

(06-2012. ) Decomposition of positive elements as finite linear combinations of projections .Special week on Operator Algebras, Research Center For Operator Algebras, Shanghai, China. Conference. . Level:International

(06-2012. ) 5-Lecture Series on Theory of Operator Algebras and Applications .Capital Normal University, China. Workshop. . Level:International

(06-2012. ) K-skeleton Factorization and Fredholm Index .Mathematics Institute of Fudan University, Shanghai/China. Workshop. . Level:International

(03-2012. ) About the higher Education System of USA .Central University of Finance and Economics, China. Professional Meeting. . Level:International

(03-2012. ) About the Joint 2+2 and 2+3 Program in Math/Stat .Capital Normal University, China. Professional Meeting. . Level:International

(03-2012. ) The process of application, admission, and attending University of Cincinnati .Beijing Information Science&Technology University, China. Professional Meeting. . Level:International

(08-2011. ) Overview on important research results in Analysis .Colloquium talk, Capital Normal University, Beijing/China. Workshop. . Level:International

(07-2011. ) Topology and projections in C*-algebras and multiplier algebras .2011 Operator Algebra Workshop, East China Normal University, Shanghai/China. Workshop. . Level:International

(07-2011. ) K-Theory invariants for classifying C*-algebras .Colloquium talk, Capital Normal University, Beijing/China. Workshop. . Level:Honorary

(03-2011. ) About non-commutative analysis and topology .Colloquium talk, Beijing Information Science&Technology Univbersity, Beijing/China. Workshop. . Level:International

(03-2011. ) Non-commutative topology and non-commutative geometry .Colloquium talk, Capital Normal University, China. Workshop. . Level:International

(07-2010. ) Main speaker, International Conference on Operator Algebras .Academy of Mathematics and System Sciences, Beijing/China. Conference. . Level:International

(09-2009. ) Main speaker, the Workshop on classification of C*-algebras. Qinhuangdao/China. Workshop. . Level:International

(05-2008. ) Invited speaker at the American Math Society Meeting No 1039 .Claremont/California. Conference. . Level:National

(12-2007. ) Main speaker, the 2007-International Congress of Chinese Mathematicians .Hangzhou/China. Conference. . Level:International

(01-2006. ) Operator-Valued Frames .Operator algebras and applications,of the American Math Society Annual Meeting (Joint work with V. Kaftal and D. Larson, presented by V. Kaftal) , Conference. . Level:National

(07-2005. ) Simple C*-algebras and their multiplier algebras .The First International Operator Algebra and Operator Theory Symposium, Xi’an/China. Conference. . Level:International

(04-2003. ) K-theory of C*-algebras generated by certain reduced group C*-algebras and projections .Operator algebras and free probability, of the American Math Society Meeting, Bloomington, Indiana. Conference. . Level:National

(04-2003. ) Rectifiable diameters of the Grassmann spaces of certain C*-algebras .Operator algebras and applications, of the American Math Society Meeting, Bloomington, Indiana . Conference. . Level:National

(01-2003. ) The contractibility of unitary group of certain purely infinite simple C*-algebras .C*-extensions and classification of C*-algebras, of the American Math Society Meeting, Baltimore, MD. Conference. . Level:National

(11-2002. ) Invariants arising from C*-algebras associated with 0-1 sequences .Wabash Seminar Monthly Series On Functional Analysis, Conference. . Level:National

(08-2002. ) Satellite Conference of the International Congress of Mathematicians, Operator Algebras and Applications, Chengde, China. Conference. . Level:International

(06-2002. ) Around a long standing problem on simple C*-algebras .Mathematical Institute of China, Beijing, China. Conference. . Level:International

(06-2002. ) A new approach to K-theory .Morningstar Mathematical Research Center, Beijing, China. Conference. . Level:International

(08-2001. ) Operator Algebras, of the 2001 Canada-China Initiative In Mathematical Sciences, Vancouver, Canada. Conference. . Level:International

(07-2001. ) Simple C*-algebras and their invariants .Workshop on Operator Algebras , Shanghai, China. Conference. . Level:International

(03-1999. ) K-theory of certain simple C*-algebras associated with cross products of cyclic groups .Operator spaces and applications, of the American Math Society Meeting (941) , University of Illinois. Conference. . Level:National

(03-1999. ) An overview on invariants of C*-algebras .Annual Conference of the Math Institute of the University of Illinois, Urbana, Illinois. Conference. . Level:National

(01-1998. ) Purely infinite simple C*-algebras generated by a weighted shift and an isometry .Recent progress in the theory of operator algebras and their applications, of the American Math Society Joint Annual Meeting, Baltimore, Maryland. Conference. . Level:National

(12-1997. ) On structure of certain purely infinite simple C*-algebras .The structure and classification of amenable C*-algebras, of the Canadian Math Society Annual Meeting, Victoria, B. C.. Conference. . Level:International

(07-1997. ) K-theory of C*-algebras and its applications .Nanjing University, China. Workshop. . Level:International

(07-1997. ) On C*-algebras and their invariants .Operator Algebras and Operator Theory, East China Normal University, China. Conference. . Level:International

(07-1997. ) Five Lectures on C*-algebras and von Neumann algebras, Nanjing University, China . Workshop. . Level:International

(06-1997. ) K-theory of C*-algebras .Beijing Normal University, China. Workshop. . Level:International

(05-1997. ) Regional Meeting of the American Mathematical Society , Detroit, Michigan. Conference. . Level:National

(10-1996. ) About the K-theory of certain purely infinite C*-algebras .Annual Wabash Mini conference, IUPUI. Professional Meeting. . Level:Regional

(08-1996. ) Generalized Fredholm index .University of Newcastle, Australia. Professional Meeting. . Level:International

(05-1996. ) Structure on infinite simple C*-algebras .24th Annual Canadian Symposium on Operator Algebras and Operator Theory, University of Saskatchewan. Conference. . Level:International

(05-1996. ) Reduced group C*-algebras and associated infinite simple C*-algebras .NSF Annual Conference on Great Plains Operator Theory, Arizona State University. Conference. . Level:International

(07-1995. ) Simple C*-algebras and reduced cross products .Invariants of Operator Algebras, Cork, Ireland. Conference. . Level:International

(06-1995. ) Can simple C*-algebras contain both nonzero finite and infinite projections? .Operator Symposium of Canada, Fields Institute, Waterloo. Conference. . Level:International

(04-1995. ) Toeplitz C*-algebras associated with free products of cyclic groups .University of New York at Buffalo, Professional Meeting. . Level:Regional

(03-1995. ) Simple C*-algebras of real rank zero .Purdue University and Indiana University at Indianapolis, Professional Meeting. . Level:Regional

(10-1994. ) A long standing problem on simple C*-algebras and recent progress .Extramural Modern Analysis Mini conference , Indiana University - Purdue University at Indianapolis. Professional Meeting. . Level:Regional

(06-1994. ) Purely infinite simple C*-algebras generated by one projection and reduced group C*-algebras .Simple C*-algebras, of the American Math Society, University of Oregon, Eugene. Conference. . Level:National

(05-1994. ) Structure of certain simple C*-algebras .Annual Conference on Great Plains Operator Theory , University of Nebraska. Conference. . Level:International

(10-1993. ) C*-algebras generated by reduced group C*-algebras and one a projection .Extramural Modern Analysis Mini conference, Indiana University. Level:University

(07-1993. ) K-theory of C*-algebras .Mathematical Institute of the Academic Sinica of China, Beijing, China. Conference. . Level:International

(1993. ) K-Theory and its applications .Department of Mathematics, Indiana University - Bloomington. Professional Meeting. . Level:University

(10-1992. ) Rectifiable diameters of von Neumann algebras and certain C*-algebras .Operator Theory and Operator Algebras, of the American Math Society, Wright State University, Dayton. Level:National

(08-1992. ) Invited speaker on the Royal Danish Academy of Sciences and Letters/commemorative symposium .Copenhegan/Denmark. Level:International

(07-1992. ) K-theory and invertible operators on a Hilbert C*-modules .Texas A& M University,

(05-1992. ) Essential commutant and K-theoretical invariants .NSF Annual Conference on Great Plains Operator Theory, University of Iowa.

(03-1992. ) Homotopy groups of the unitary groups and Grassmann spaces of certain C*-algebras .Operator Algebras, of the conference of the American Math Society, Tuscaluoosa, Alabama.

(03-1992. ) K-theory and homotopy of certain groups and infinite Grassmann spaces associated with C*-algebras .Operator Algebras And Algebraic Topology, of the conference of the American Math Society, Springfield, Missouri. Conference. . Level:International

(02-1992. ) Factorizations of invertible operators and Fredholm index .NSF Wabash Functional Analysis Seminar, Professional Meeting. . Level:Regional

(08-1991. ) Factorizations of invertible operators on Hilbert C*- modules .NSF CBMS-Regional conference Homology and Index Theory, Conference. . Level:National

(05-1991. ) Factorization of unitary elements in C*-algebras .NSF supported Annual Conference on Great Plains Operator Theory, Texas A& M University. Conference. . Level:International

(04-1991. ) A proof for the Phillips-Ringrose conjecture .Wabash Extramural Modern Analysis Mini Conference, IUPUI , Indianapolis, IN. Conference. . Level:National

(01-1991. ) Certain C*-algebras of real rank zero and their multiplier algebras .Non-commutative Topology And C*-Algebras, of the American Math Society Joint Annual Meeting , San Francisco, CA. Conference. . Level:International

(11-1990. ) A Riesz decomposition property and applications .Special session "Operator Theory/ Operator Algebras" of the American Math Society, University of California/Irvine. Conference. . Level:National

(05-1990. ) Ideal structure of generalized Calkin algebras. The Regional Conference on Operator Algebras/Operator Theory .Texas Christian University . Conference. . Level:International

(04-1990. ) The NSF Great Plains Operator Theory Conference , University of New Mexico. Conference. . Level:International

(03-1990. ) Quasidiagonal operators on a Hilbert C*-module .Arizona State University, Professional Meeting. .

(03-1990. ) Internal structure of multiplier algebras .University of Georgia, Professional Meeting. .

(02-1990. ) C*-algebras with the FS property .University of Alabama, Professional Meeting. .

(01-1990. ) Some recent results about simple C*-algebras of real rank zero. The American Math Society Joint Annual Meeting .Louisville, KY. Conference. . Level:National

(10-1989. ) Simultaneously quasi-diagonalizing two projections and trivial K1-group .The 852th American Math Society , Muncie, Indiana. Conference. . Level:National

(05-1989. ) K1-group and structure of certain multiplier C*-algebras .The 17th Annual Canadian Symposium on Operator Algebras and Operator Theory, University of Toronto. Conference. . Level:International

(06-1988. ) Quasi-diagonality in multiplier algebras. The Conference on Great Plains Operator Theory .Indiana University -Purdue University at Indianapolis. Conference. . Level:National

(07-2015. ) Plenary speaker at the Workshop on Dynamic Systems and Operator Algebras .Math Institute of Jilin University, China. Level:International

(07-2017. ) Invite plenary speaker The 3rd Summer Workshop on Operator Algebras and Noncommutative Geometry .Heibei Normal University, China. Level:International

(07-2016. ) Invited plenary speaker at the International conference on structure of C*-algebras and tracial approximation .Heibei Normal University, China. Level:International

(12-2017. ) Invited plenary speaker at the International Workshop on Operator Algebras .Tsinghua Sanya International Mathematics Forum (TSIMF), Sanya, China. Level:International

(03-2017. ) Speaker for the Workshop for attending the US Universities .Capital Normal University, China. Level:University

(12-2017. ) Generalied Fredholm Index and Applications .Colloquium Talk, ChongQing University. Level:International

(12-2017. ) Generalized Weyl-von Neumann Theorem in the multiplier algebras .Colloquium Talk, Chongqing Normal Univeristy. Level:International

(12-2017. ) Application of Generalized Fredholm Indices .Colloquium Talk, West-South University . Level:International

(12-2017. ) Structure of Multipler Algebras and Index Theory .Colloquium Talk, Zhong Shan University at Zhuhai. Level:International

Invited 40-minute talk (07-2018. ) Purely Infinite simple C*-Algebras generated by an isometry and a bilateral shift .IWOTA-2018, Shanghai, China. Conference. . Level:International

Event Organized

Co-organizer of the GPOTS-2008 Conference 06-2008 University of Cincinnati Level:International

Co-organizer of the Amer. Math Society Special session 10-2006 Univeristy of Cincinnati Level:National

Co-organizer of the AMS special session 01-2003 Baltimore/Maryland Level:National

Co-organizer of the Satellite Conf. of the 2002-ICM 08-2002 Chengde/China Level:International

Organizer of the C*-Algebra workshop 07-1997 Nanjing/China Level:International

Organizer of workshop on Operator Algebras 07-1997 Shanghai/China Level:International

Co-organizer of the 3rd International Conference on C*-algebras 07-1997 Eastern China Normal University Level:International

Co-organizer of the AMS special session 01-1997 San Diego Level:National

Co-organizer of the GPOTS-1995 05-1995 University of Cincinnati Level:International

Co-organizer of the Annual Meeting of AMS special session 01-1994 Cincinnati Conventional Center Level:International

Special Week on Operator Algebras Conference 06-18-2012 06-22-2012 Shanghai, China Level:International

1996 Taft Award for Distinguished Faculty Achievement. As the first recipient of this newly established award

Service as a referee for about 20 math journals or publishers

Math Deptartment - (Head Review Committee ) 1999

Math Department - (Head Search Committee ) 2000

Math Department - (Essentially all kinds of Committees repeatedly ) 1990 -To Present

College of Arts and Science of Arts and Sciences (Budget Committee ) Type:University/College Service Level:College 2012 -To Present

(Academic Committee Chair ) Level:Department 2012 -To Present

(International 2+2 Joint Program Coordinator ) Level:Department 2011 -To Present

(Online Course Evaluation Coordinator ) Level:Department 2011 -To Present

(A&S Heads Council ) Level:College 2010 -To Present

Functional Analysis, Operator Algebras, C*-Algebras, K-Theory, Homotopy Theory, Real Rank of C*-Algebras.

15-MATH-505 ADVANCED CALCULUS Adv Calc II Level:Both

15-MATH-147H EL PROB & STATS H Level:Undergraduate

15-MATH-264 CALC & AN GEOM IV Level:Undergraduate