Karen Shuman

Professor of Mathematics and Chair of the Science Division

Grinnell College

Affiliations

Grinnell College

Division Of Science

Division of Science

Division Of Science

Laboratory Of Mathematics

Karen Shuman is currently serving as a Division Of Science Professor of Mathematics and Chair of the Science Division at Grinnell College.

Honors

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Education

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Karen Shuman

Grinnell College

Professor of Mathematics and Chair of the Science Division

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applied mathematics mathematics operator theory mathematical analysis mathematical optimization measure theory operator algebras functional analysis convex analysis function spaces spectral theory mathematical sciences scaling analysis computer science graph theory complex analysis asymptotic analysis abstract and applied analysis mathematical programming fractals combinatorial optimization numerical algorithms analytic number theory theoretical analysis fourier analysis convergence analysis regularization (mathematics) convex optimization infinite dimensional analysis infinite dimensional problem symbolic dynamics multiple scale fractal analysis linear operators optimization problems atomic decomposition interpolation spaces algorithmic efficiency orthogonal exponentials spectral sets bernoulli convolutions fractal measures affine systems weak convergence cantor measure function systems additive spectra scalar spectral measures unweighted bergman space

Notable Scholarly Works

Notable Federal Grants

Collaborators

Additive Spectra of the \Frac14 Cantor Measure. Contemporary mathematics - American Mathematical Society (2014)

Palle JorgensenKeri KornelsonKaren Shuman

additive spectranumber theoryapplied mathematicsmathematics

Scalar Spectral Measures Associated With an Operator-Fractal. Journal of Mathematical Physics (2014)

functional analysisfractal analysismeasure theoryoperator theorymathematicslinear operatorsscalar spectral measuresmathematical analysisfunction spacesspectral theoryapplied mathematicsmathematical sciencesfractals

Scaling by $5$ on a $\Frac{1}{4}$--Cantor Measure. Rocky Mountain Journal of Mathematics (2014)

Palle E.T. JorgensenKeri A. KornelsonKaren L. Shuman

measure theorymathematicsscaling analysisnumber theorycantor measureapplied mathematics

An Operator-Fractal. Numerical Functional Analysis and Optimization (2012)

Palle E. T. JorgensenKeri A. KornelsonKaren L. Shuman

mathematical optimizationapplied mathematicsoperator theory

Iterated Function Systems, Moments, and Transformations of Infinite Matrices. Memoirs of the American Mathematical Society (2011)

infinite dimensional analysisoperator algebraslinear algebrainfinite dimensional problemoperator theorymathematicssymbolic dynamicsfunction systemsfunction spacesspectral theoryapplied mathematicsmathematical sciences

Scaling by 5 on a 1/4-Cantor Measure. arXiv (Cornell University) (2011)

Palle E. T. JorgensenKeri A. KornelsonKaren L. Shuman

particle physicsmultiple scalemeasure theoryscaling analysisapplied mathematics

Families of Spectral Sets for Bernoulli Convolutions. Journal of Fourier Analysis and Applications (2010)

Palle E. T. JorgensenKeri A. KornelsonKaren L. Shuman

analytic number theorytheoretical analysisspectral setsbernoulli convolutionscomplex analysismathematical analysisfourier analysisapplied mathematics

Orthogonal Exponentials for Bernoulli Iterated Function Systems. Birkhäuser Boston eBooks (2008)

Palle E. T. JorgensenKeri KornelsonKaren Shuman

orthogonal exponentialsgraph theoryapplied mathematics

Weak Convergence of Greedy Algorithms in Banach Spaces. Journal of Fourier Analysis and Applications (2008)

S. J. DilworthDenka KutzarovaKaren L. ShumanV. N. TemlyakovP. Wojtaszczyk

mathematical optimizationfunctional analysisconvergence analysisregularization (mathematics)abstract and applied analysisoperator algebrasconvex optimizationmathematicsoperator theorymathematical programmingweak convergenceconvex analysisapplied mathematics

Affine Systems: Asymptotics at Infinity for Fractal Measures. Acta Applicandae Mathematicae (2007)

Palle E. T. JorgensenKeri A. KornelsonKaren L. Shuman

fractal measuresaffine systemsasymptotic analysisapplied mathematics