Karen L. Shuman
Associate Professor of Mathematics
Department of Mathematics and Statistics
Grinnell College
Grinnell, IA 50112-1690

Contact Information:
Office: 2249 Noyce Science Center
Phone: (641) 269-4927
Fax: (641) 269-4984
Email: shumank@math.grinnell.edu

I am an assistant professor of mathematics at Grinnell College who specializes in harmonic analysis. Before coming to Grinnell, I was a VIGRE post-doc at the University of Illinois at Urbana-Champaign, and I was a graduate student at Dartmouth College. Agnes Scott College is my alma mater; its math page is here.
RECENT COURSES

Spring 2010

Fall 2009

Spring 2009

  • Math 133, Section 01, Calculus II
  • Math 314, Section 01, Topics in Applied Mathematics (Wavelets)

Fall 2008

  • Math 131, Section 01, Calculus I
  • Math 220, Section 01, Differential Equations
  • Tutorial: Infinity

Summer 2008

  • MIP 299 and MAP 499, Iterated function systems

Spring 2008

  • Math 220, Section 02, Differential Equations
  • Math 316, Section 01, Foundations of Analysis
Much of the content of my course web pages has been moved to Blackboard, which is password-protected.
UNDERGRADUATE RESEARCH

There are several projects I'd be happy to talk to you about if you are interested in doing something during the regular school year. Early in the spring term, faculty members in the mathematics and statistics department at Grinnell present possible topics for undergraduate summer research.

  • Ernest Boateng-Abebresse, Pengjun Shen, Talent Takundwa, and Fai Tosuratana (Grinnell College): Equilibrium measures of iterated function systems with overlap (Summer 2008)
  • Bobby Elam (Bethune-Cookman University), Greg Ongie (Coe College), and Mark Tucker (University of Iowa), co-mentored with Palle Jorgensen and Paulette Willis (University of Iowa): The Cantor measure and its associated orthogonal polynomials (Summer 2007)
  • Michael Gideon (Grinnell College): MAP 499: Functional analysis and mathematical economics (Spring 2007)
  • Ogechi Nnadi and Kaitlyn Ryan (Grinnell College): MAP 499: Visualizing K-Bessel functions (Summer 2005)
  • Michael Henry (Augustana College): The Illustrated Analyst (Summer 2002)
  • Emily Cornell (Dartmouth College): Signal processing with the Jacobi group (Spring 1998)
RESEARCH
  • S.J. Dilworth, Denka Kutzarova, Karen L. Shuman, V.N. Temlyakov, and P. Wojtaszczyk. Weak convergence of greedy algorithms in Banach spaces. To appear, Journal of Fourier Analysis and Applications, Special Issue on Sparsity. (refereed)
  • Palle E.T. Jorgensen, Keri A. Kornelson, and Karen L. Shuman. Affine systems: asymptotics at infinity for fractal measures. At the arXiv; Acta Applicandae Mathematicae 98 (2007) 181 -- 222. (refereed)
  • Palle E.T. Jorgensen, Keri A. Kornelson, and Karen L. Shuman. Orthogonal exponentials for Bernoulli iterated function systems. At the arXiv; to appear, Proceedings for Current Trends in Harmonic Analysis and Its Applications - Wavelets and Frames Workshop in Honor of Larry Baggett. (refereed)
  • Palle E.T. Jorgensen, Keri A. Kornelson, and Karen L. Shuman. Harmonic analysis of iterated function systems with overlap. At the arXiv; Journal of Mathematical Physics 48(8) (2007) 083511. (refereed)
  • S.J. Dilworth, Denka Kutzarova, and Karen L. Shuman. The Weak Chebyshev X-Greedy Algorithm in the Unweighted Bergman Space. Journal of Mathematical Analysis and Applications 318 (2006) 692 -- 706. (refereed)
  • Joseph M. Rosenblatt and Karen L. Shuman. Cyclic functions in $L^p(R)$, $1 \leq p < \infty$. Journal of Fourier Analysis and Applications 9 (2003) no. 3, 289 -- 300. (refereed)
  • Karen L. Shuman. Complete Signal Processing Bases and the Jacobi Group. Journal of Mathematical Analysis and Applications 278 (2003) 203 -- 213. (refereed)
  • Emily Cornell and Karen L. Shuman. Tests of a New Basis for Signal Processing. Mathematical and Computer Modelling 33 (2001) 265 -- 271. (refereed)

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