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Department of Mathematics

Directory

Stephen Dilworth

Title: Professor
Department: Mathematics
College of Arts and Sciences
Email: dilworth@math.sc.edu
Phone: 803-777-7459
Office: LeConte 300J
Office Hours: Fall 2019:
T 1:45-2:30 pm
W 9:15-11:30 am.
Resources: My Website
Curriculum Vitae [pdf]

Department of Mathematics
Stephen Dilworth

Education

Ph.D., Trinity College, Cambridge, 1985.
M.A., Trinity College, Cambridge, 1984.
B.A., Trinity College, Cambridge, 1980.

Experience

2001-, Professor, University of South Carolina.
2001-2002, Visiting Scholar, University of Texas at Austin.
1992-2001, Associate Professor, University of South Carolina.
Spring 1994, Visiting Associate Professor, Bowling Green State University.
Fall 1993, Visiting Associate Professor, Texas A&M University.
1986-1992, Assistant Professor, University of South Carolina.
1986-87, Lecturer, University of Texas at Austin.
1985-86, Instructor, University of Texas at Austin.
1984-85, Visiting Assistant Professor, University of Missouri.

Courses Taught

758 Stochastic Analysis I-II
758 Probability in Banach Spaces
758 Classical Banach Spaces
756-757 Functional Analysis I-II
752 Complex Analysis
703-704 Analysis I-II
554 Analysis I
552 Complex Variables
550 Vector Analysis
544 Linear Algebra
532 Topology
521 Partial Differential Equations
520 Ordinary Differential Equations
514-515 Financial Mathematics I-II
511 Probability
242 Differential Equations
241 Vector Calculus
141-142 Calculus I-II
122 Business Calculus

Research

Banach space theory, including applications to greedy algorithms and compressed sensing, and topics in nonlinear functional analysis including metric embeddings and transportation cost spaces.

Selected Publications

  • S. J. Dilworth, Mikhail Ostrovskii, and Denka Kutzarova, Lipschitz free spaces on finite metric spaces, Canadian J. Math., 2019.
  • Florent Baudier, Ryan Causey, S.J Dilworth, Denka Kutzarova, N. Lovasoa Randrianarivony, Th. Schlumprecht, and Sheng Zhang, On the geometry of the countably branching diamond graphs, J. Funct. Anal. 273 (2017), 3150--3199.
  • S. J. Dilworth, D. Kutzarova, G. Lancien, and N. L. Randrianarivony, Equivalent norms with the property (β) of Rolewicz, RACSAM 111 (2017), 101--113.
  • F. Albiac, J. L. Ansorena, S. J. Dilworth and Denka Kutzarova, Existence and uniqueness of greedy bases in Banach spaces, J. Approx. Theory 210 (2016), 80--102.
  • S. J. Dilworth and B. Randrianantoanina, On an isomorphic Banach-Mazur rotation problem and maximal norms in Banach spaces, J. Funct. Anal. 268 (2015), no. 15, 1587--1611.
  • Jean Bourgain, S. J. Dilworth, Kevin Ford, Sergei V. Konyagin, and Denka Kutzarova, Explicit constructions of RIP matrices and related problems, Duke Math. J. 159 (2011), 145--185.
  • S. J. Dilworth, E. Odell, Th. Schlumprecht and A. Zsák, Partial Unconditionality, Houston J. Math. 35 (2009), 1251--1311.
  • P. G. Casazza, S. J. Dilworth, E. Odell, Th. Schlumprecht and A. Zsák, Coefficient Quantization for Frames in Banach spaces, J. Math. Anal. Appl. 348 (2008), 66--86.
  • S. J. Dilworth, V. Ferenczi, Denka Kutzarova, and E. Odell, On asymptotic $l_p$ spaces and minimality, J. London Math. Soc. 75 (2007), 409--419.
  • S. J. Dilworth, N. J. Kalton and Denka Kutzarova, On the existence of almost greedy bases in Banach spaces, Studia Math. 159 (2003), 67-101.
  • S. J. Dilworth, Denka Kutzarova, N. J. Kalton and V. N. Temlyakov, The Thresholding Greedy Algorithm, Greedy Bases, and Duality, Constr. Approx. 19 (2003), 575-597.
  • S. J. Dilworth, Denka Kutzarova and V. N. Temlyakov, Convergence of some greedy algorithms in Banach spaces, J. Fourier Anal. Appl. 8 (2002), 489-505.
  • S. J. Dilworth, Special Banach Lattices and their Applications in: William B. Johnson and Joram Lindenstrauss (eds.), Handbook on the Geometry of Banach Spaces Vol. 1, North Holland, Amsterdam, 2001, 497-532.
  • S. J. Dilworth, Maria Girardi and J. Hagler, Dual Banach spaces which contain an isometric copy of $L_1$, Bull. Polish. Acad. Sci. Math. 48 no. 1 (2000), 1-12.
  • S. J. Dilworth, Approximate isometries on finite-dimensional normed spaces, Bull. London Math. Soc. 31 (1999), 471-476.
  • S. J. Dilworth and Maria Girardi, Nowhere weak differentiability of the Pettis integral, Quaestiones Math. 18 (1995), 365-380.
  • M. Besbes, S. J. Dilworth, P. N. Dowling and C. J. Lennard, New convexity and fixed-point properties in Hardy and Lebesgue-Bochner spaces, J. Funct. Anal. 119 (1994), 340-357. 18. S. J. Dilworth and S. J. Montgomery-Smith, The distribution of vector-valued Rademacher series, Ann. Probab. 21 (1993), 2046-2052.
  • N. L. Carothers and S. J. Dilworth, Subspaces of $L{p,q}$, Proc. Amer. Math. Soc. 104 (1988), 537-545.
  • S. J. Dilworth, Complex convexity and the geometry of Banach spaces, Math. Proc. Cambridge Philos. Soc. 99 (1986), 495-505.

Challenge the conventional. Create the exceptional. No Limits.

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