with N. McNew, Efficient realization of nonzero spectra by polynomial matrices, Involve. A Journal of Mathematics, 8 (2015), 1-24.
wtih S. B. Frick, Dimension groups for polynomial odometers, Acta Applicandae Mathematicae126 no. 1, (2013) 165–186.
with F. Latrémolière,
C*-algebraic characterization of bounded orbit injection equivalence for minimal free Cantor systems,
Rocky Mountain Journal of Mathematics42 (2012), no. 1, 157--200.
with R. N. Ball and
J. Hagler, Quotients of Bing spaces,
Topology Appl.155 (2008), no. 16, 1852--1866.
with W. Kosek and D. Rudolph, Flow-Orbit Equivalence for Minimal Cantor Systems,
Ergodic Theory Dynam. Systems 28 (2008), no. 2, 481--500.
with P. Vojtěchovský, Powers and alternative laws,
Commentationes Mathematicae Universitatis Carolinae48 (2007), no. 1, 25--40.
with S. Lightwood, Bounded orbit injections and suspension equivalence for minimal
Z^{2}-actions, Ergodic Theory Dynam. Systems 26 (2007) 1--30.
with I. Kornfeld, Topological realizations of families of ergodic automorphisms,
multitowers and orbit equivalence, Israel Journal of Mathematics155 (2006),
335--357.
with M. Neumann, Bounds for graph expansions via elasticity, Electronic
Journal of Linear Algebra10 (2003) 163--178.
with S. Kirkland, M. Neumann and J. Xu, On the elasticity of the Perron root of a nonnegative matrix,
SIAM J. on Matrix Analysis and Applications24 (2002), no. 2, 454--464.
with C. Radin and
L. Sadun, Topological invariants for substitution tiling spaces,
Geometriae Dedicata90 (2002), no. 1, 153--182.
with K. H. Kim and F. Roush, The spectra of nonnegative integer matrices via formal power series,
J. Amer. Math. Soc.13 (2000), 773--806.
Real coboundaries for minimal homeomorphisms Pacific Journal Mathematics195 (2000), no. 2, 453--476.
Pingree Park Dynamics Workshop (Summer 2009, 2010, 2011, 2014)
Great Plains Operator Theory Symposium (Summer 2010, expected)
Mile High Conference on Quasigroups, Loops, and Nonassociative Systems, University of Denver (July 2005)
Special Session, Symbolic Dynamics, AMS Central Sectional Meeting, Univ. Notre Dame (Apr. 2000)
Referee for various mathematics research journals, grant proposals and textbooks.
Teaching Experience
Courses: Ergodic Theory, Chaos Dynamics & Fractals, Real Analysis, Complex Analysis,
Operations Research, Symbolic Dynamics, Topology, Probability, Discrete Mathematics, Number Theory,
Transition to Advanced Mathematics, Linear Algebra, Calculus, Symmetry,
Groups & Cryptography Seminar, Chaos Theory Seminar, Math for Elementary
Education Majors, Pre-calculus, College Algebra, Foundation courses.
Brett Werner, Strong orbit equivalence and residuality. Thesis (Ph.D.)–University of Denver. 2010.
Undergraduate Research Supervised
Senior Theses
Ken Macneal, Chaos in full families of S-unimodal maps on [0,∞). (2013)
Yoa Lei, A Mathematical Perspective on Casino Games. (2013)
Nathan McNew, Efficient realization of nonzero spectra by polynomial matrices.
PinS project: Nathan McNew Ordered
Direct Limits of GL(2,Z) (summer 2007).
University of Connecticut Undergraduate research project: E. Slater, E. Dutko, The topology of Triomino vs. Sphinx tilings.
University of Texas Undergraduate research project: G.
Saenz, C. Jackson, R. Crumley, The asymmetric
propeller revisited, College Mathematics Journal, 31 (2000), no. 5, 347--349.
Participant, Center for Teaching and Learning Workshop on Cooperative Learning (summer 2007)
Mathematics Department Teaching Award, University of Texas (Fall 1999) Awarded annually to one faculty member in the department
Grants
External
PI, Pingree Park Dynamics Workshop, NSF ($25K), summer 2014
PI, Pingree Park Dynamics Workshop, NSF ($20K), summer 2011
PI, Pingree Park Dynamics Workshop, NSF ($24K), summer 2010
co-PI, Pingree Park Dynamics Workshop, funded by NSF ($14K), summer 2009.
co-PI, Collaborative Research: GPOTS Special Meetings 2009/2010, funded by NSF ($47K).
Internal
with A. Reiber, S. Butz, B. Werner, NSM Hybrid Course Initiative, MATH 1200 Hybrid, Office of Teaching and Learning ($20K), 2012
With N. Galatos, D. Carney, Teaching Excellence in Departments Grant OTL ($15K) 2012
with A. Arias, PROF Research Grant ($14K), summer 2007.
Center for Teaching and Learning Grant ($8K), summer 2006.
with P. Vojtěchovský, PROF Research Grant ($10K), summer 2004.
Invited Talks
Carolina Dynamics Symposium, Agnes Scott College. (April 2015)
BYU Dynamical Systems Seminar, Brigham Young University. (March 2015)
Poster, 2014 Teaching and Learning Conference, University of Denver. (April 2014)
Special Session, Ergodic Theory and Symbolic Dynamics, Joint meeting of the AMS and MAA, Baltimore, MD. (January 2014)
Special Session, Topological Dynamics and Ergodic Theory, AMS Eastern Sectional Meeting, Louisville, KY. (October 2013)
Special Session, Tilings, Substitutions, and Bratteli-Vershik Transformations, AMS Sectional Meeting, George Washington University. (March 2012)
Special Session on Dynamical Systems and Operator Algebras, AMS Sectional Meeting, University of Nebraska-Lincoln. (Oct 2011)
Hamilton College Undergraduate Seminar, New York. (Dec 2010)
All-Campus Discoveries Lecture, Univ. of Denver (Sept. 2010)
Mixed Taste Lecture, Musem of Contemporary Art, Denver. (July 2009)
Dynamics Seminar, University of Amiens, France. (June 2009)
Analysis Seminar Series, Norwegian University of Science and Technology. (May 2009)
Dynamics Lab, Colorado State University. (April 2008)
Analysis Seminar Series, Norwegian University of Science and Technology. (May 2009)
Special Session, Ergodic Theory and Symbolic Dynamics, AMS meeting, Chicago, IL. (Oct. 2007)
Ordre Apériodique: nouveaux liens et anciens problèmes revisités, CIRM workshop, Luminy, France. (Sept. 2007)
Special Session, Ergodic Theory and Topological Dynamics, Joint Meeting of the American Mathematical Society and Polish Mathematical Society, University of Warsaw, Poland. (Aug. 2007)
Ergodic Theory and Probability Seminar, Ohio State University. (Apr. 2007)