Profile for Robert Allen

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Robert Allen

Pronouns: He/Him/His
Interim Associate Dean
Dean's Office-College of Science & Health
University of Wisconsin-La Crosse

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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 watching anime (One Piece, Naruto, Black Clover, Demon Slayer) or K-dramas my mom has suggested. I am taking piano lessons, so you may also find me at the Center for the Arts building plunking away at the keys.

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

Career

Teaching history

MTH 150, 151, 207, 208, 225, 265, 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 function theory, complex analysis II, measure theory, representation theory, Galois theory, linear algebra II, numerical partial differential equations)

STAT 145

UWL 100

Professional history

Associate Dean (interim), College of Science & Health, 2023 - present.
Faculty Assistant to the Provost, Academic Affairs, 2022 - 2023.
Chair,
Department of Mathematics & Statistics, 2017 - 2023.

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.

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

Weighted composition operators on discrete weighted Banach spaces (with Matthew Pons) Acta Scientiarum Mathematicarum (Szeged), to appear.

Differentiation-composition operators on the Dirichlet space (with Katherine Heller and Matthew Pons) Journal of Mathematical Analysis and Applications, 512 2022

Analysis of SIR epidemic models with sociological phenomenon (with Katherine Heller and Matthew Pons), Spora: A Journal of Biomathematics, 6 2022.

The differentiation operator on discrete function spaces of a tree (with Colin Jackson) Involve, 15 2022.

Hypercyclic composition operators on weighted Banach spaces of a tree (with Flavia Colonna, Ruben Martinez-Avendano, and Matthew Pons) Mediterranean Journal of Mathematics, 16 2019.

Multiplication operators between iterated Lipschitz spaces of a tree (with Flavia Colonna and Andrew Prudhom), Mediterranean Journal of Mathematics, 14 2017.

Composition operators on weighted Banach spaces of a tree (with Matthew Pons), Bulletin of the Malaysian Mathematical Sciences Society, 41 2016. 

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

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

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

Perturbations in epidemiological models: When zombies attack, we can survive! (with Cassandra Jens and Ted 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 Katherine Heller and Matthew Pons), Journal of Mathematical Analysis and Applications, 414(1) 2014.

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

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

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

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

Multiplication operators between Lipschtiz-type spaces of a tree (with Flavia Colonna and Glenn 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 Flavia Colonna), Integral Equations and Operator Theory, 66(1) 2010.

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

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

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

Kudos

presented

Marie Moeller, College of Arts, Social Sciences & Humanities, and Robert Allen, College of Science & Health, presented "Managing the Variety of Associate/Assistant Dean Roles in the Office of the Dean" at the annual CCAS (Council of Colleges of Arts & Sciences) conference on Nov. 2 in San Diego, CA.

Submitted on: Nov. 3, 2023

 

published

Matthew A. Pons, North Central College; and Robert Allen and Whitney George, both Mathematics & Statistics; co-authored the article "Topological structure of the space of composition operators on the Banach algebra of bounded functions on an unbounded, locally finite metric space" in Rendiconti del Circolo Matematico di Palermo Series 2 and was accepted for publication by Springer.

Submitted on: Aug. 11, 2023

 

published

Matthew A. Pons, North Central College and Robert Allen, Mathematics & Statistics, co-authored the article "Weighted composition operators on discrete weighted Banach spaces" in Acta Scientiarum Mathematicarum and was accepted for publication by Springer.

Submitted on: Jan. 5, 2022

 

published

Colin M. Jackson, B.S. Mathematics and Robert Allen, Mathematics & Statistics, co-authored the article "The differentiation operator on discrete function spaces of a tree" in Involve: A Journal of Mathematics and was accepted for publication by Mathematical Sciences Publishers (MSP). Colin graduated in spring 2021 and is currently a graduate student at the University of Colorado Boulder pursuing a Ph.D. in Mathematics. This work was funded by the Mathematics & Statistics Department Undergraduate Research Endowment.

Submitted on: Aug. 12, 2021

 

published

Flavia Colonna, George Mason University; Robert Allen, Mathematics & Statistics; and Andrew Prudhom, University of North Carolina at Chapel Hill (McNair Scholar @ UWL); co-authored the article "Multiplication operators between iterated logarithmic Lipschitz spaces of a tree" in Mediterranean Journal of Mathematics published on Oct. 11, 2017 by Springer-Verlag.

Submitted on: Oct. 12, 2017