Department of Mathematics
University of Denver
2360 S. Gaylord St.
Denver, CO 80208
Phone: (303) 871-3325
normes@math.du.edu http://www.math.du.edu/~normes
Academic Positions
Associate Professor, Department of Mathematics, University of Denver (Sept. 2008 - present).
Interim Chair, Department of Mathematics, University of Denver (April 2008 - June 2008).
Assistant Professor, Department of Mathematics, University of Denver (Sept. 2000 - Aug. 2008).
Postdoctoral Fellow, Department of Mathematics, University of Connecticut (Aug. 2000 - Aug. 2002).
Instructor, Department of Mathematics, University of Texas, Austin (Sept. 1997 - Aug. 2000).
Education
Ph.D., University of Maryland at College Park, Advisor: Prof. M. Michael Boyle (May 1997).
B.S., University of Delaware, Cum Laude, Mathematics major, Physics minor (June 1991)
Secondary: Matrix theory, topology (of tilings and continua).
Research Papers
with F. Latrémolière,
C*-algebraic characterization of bounded orbit injection equivalence for minimal free Cantor systems,
to appear Rocky Mountain Journal of Mathematics.
with R. N. Ball and J. Hagler, Quotients of Bing spaces,
Topology Appl.155 (2008), no. 16, 1852--1866.
with Wojciech Kosek and Dan 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
Z2-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.
Great Plains Operator Theory Symposium (Summer 2010, expected)
Pingree Park Dynamics Workshop (Summer 2009)
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 Mathematical Research Journals, e.g. Transactions of the AMS, Israel Journal of Mathematics,
Ergodic Theory and Dynamical Systems.
Member, American Mathematical Society, Mathematical Association of America
Teaching Experience
Courses: Ergodic Theory, Chaos, Dynamics & Fractals, 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.
Graduate Research Supervised
Brett Werner (current Ph.D. student),
An example of Kakutani equivalent and strong orbit equivalent substitution systems that are not conjugate,
Discrete and Continuous Dynamical Systems - Series S2, no. 2 (2009), 239--249.
Undergraduate Research Supervised
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
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).
with Alvaro Arias, PROF Research Grant ($14K), summer 2007.
Center for Teaching and Learning Grant ($8K), summer 2006.
with Petr Vojtěchovský, PROF Research Grant ($10K), summer 2004.
Invited Talks
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)