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Robert Allen

Specialty area(s)

Operator theory, functional analysis, and complex analysis.

Brief biography

I am a native of the east coast, so moving to Wisconsin was quite an adjustment. I originally started off life as a software engineer, after receiving my B.S. in Computer Science in 1994 from the University of Virginia, I worked as a software engineer for 9 years in the Washington D.C. area.

While working, and to prepare for graduate school in math, I received a B.S. in Mathematics in 2003 from George Mason University. After that, I received an M.S. in Mathematics in 2006 again from the University of Virginia. In 2009, I received my Ph.D. in Mathematics from George Mason University. (Yes, it's like a tennis match... back and forth between the two schools.)

When not working on mathematics, you might find me experimenting new recipes (I love to cook) or playing video games. I am taking piano lessons, so you may also find me at the Center for the Arts building plunking away at the keys.

Current courses at UWL

MTH 362 - Complex Variables 

Education

Ph.D. Mathematics, George Mason University, 2009
M.S. Mathematics, University of Virginia, 2006
B.S. Mathematics, George Mason University, 2003
B.S. Computer Science, University of Virginia, 1994

Teaching history

MTH 150, 151, 207, 208, 225, 309, 310, 321, 362, 395 (scientific computing; math modeling for teachers, mathematics of biomechanics, teacher practicum), 407, 408, 411, 412, 413 (operator theory) 495 (topology, functional analysis), 498 (mathematical ecology, group theory for chemistry, complex analysis II, measure theory, representation theory, galois theory)

STAT 145

UWL 100

Professional history

Professor of Mathematics, University of Wisconsin-La Crosse, 2017 - present.
Associate Professor of Mathematics
, University of Wisconsin-La Crosse, 2013 - 2017.
Assistant Professor of Mathematics, University of Wisconsin-La Crosse, 2009 - 2013.

Chair, Department of Mathematics & Statistics, 2017 - present.

Research and publishing

Research Interests

Operator theory, Bloch functions, complex function theory, operator theory on discrete structures, mathematical biology, mathematical sociology, pattern formation in reaction-diffusion equations.

Published Manuscripts

Multiplication operators between iterated Lipschitz spaces of a tree (with F. Colonna and A. Prudhom), Mediterranean Journal of Mathematics, to appear.

Composition operators on weighted Banach spaces of a tree (with M. A. Pons), Bulletin of the Malaysian Mathematical Sciences Society, (2016) https://doi.org/10.1007/s40840-016-0428-x.

Multiplication operators on weighted Banach spaces of a tree (with I. M. Craig), Bulletin of the Korean Mathematical Society, 54 2017.

Spectra of composition operators with automorphic symbol on the Bloch space (with T. Le and M. Pons), Involve, 9 2016.

Multiplication operators on S2(D) (with K. Heller and M. Pons), Acta Scientiarum Mathematicarum (Szeged), 81 2015.

Perturbations in epidemiological models: When zombies attack, we can survive! (with C. Jens and T. Wendt), Letters in Biomathematics, 1 2014.

Weighted composition operators from the Bloch space to the weighted Hardy spaces on a bounded homogeneous domain, Analysis in Theory and Application, 30 2014.

Isometric composition operators on the analytic Besov spaces (with K. Heller and M. Pons), Journal of Mathematical Analysis and Applications, 414(1) 2014.

Compact differences of composition operators on weighted Dirichlet spaces (with K. Heller and M. Pons), Central European Journal of Mathematics, 12(7) 2014.

Composition operators on the Lipschitz space of a tree (with F. Colonna and G. Easley), Mediterranean Journal of Mathematics, 11 2014.

Multiplication operators on the weighted Lipschitz space of a tree (with F. Colonna and G. Easley), Journal of Operator Theory, 69 2013.

Multiplication operators on the iterated logarithmic Lipschitz spaces of a tree (with F. Colonna and G. Easley), Mediterranean Journal of Mathematics, 9 2012.

Multiplication operators between Lipschtiz-type spaces of a tree (with F. Colonna and G. Easley), International Journal of Mathematics and Mathematical Sciences, Art. ID 472495, 2011.

Weighted composition operators between H and the Bloch space of a bounded homogeneous domain (with F. Colonna), Integral Equations and Operator Theory, 66(1) 2010.

Weighted composition operators on the Bloch space of a bounded homogeneous domain (with F. Colonna), Topics in Operator Theory Volume I: Operators, Matrices and Analytic Functions, ISBN: 978-3-0346-0157-3, 2010.

Multiplication operators on the Bloch space of a bounded homogeneous domain (with F. Colonna), Computational Methods and Function Theory, 9(2) 2009.

On the isometric composition operators on the Bloch space in Cn (with F. Colonna), Journal of Mathematical Analysis and Applications, 355(2) 2009.

Isometries and spectra of multiplication operators on the Bloch space (with F. Colonna), Bulletin of the Australian Mathematical Society, 79 2009.