Nicholas S. Ormes
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

Assistant Professor, Department of Mathematics, University of Denver

(Sept. 2002 - present)

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)

Research Interests

Primary: Topological dynamics, ergodic theory, symbolic dynamics.
Secondary: Matrix theory, topology of tilings and continua.

Research Papers

Quotients of Bing Spaces,
with Jim Hagler and Rick Ball, (to appear Topology and its Applications).

Flow-Orbit Equivalence for Minimal Cantor Systems,
with Wojciech Kosek, Dan Rudolph 28 (2008), no. 2, 481--500.

Powers and alternative laws,
with Petr Vojtěchovský, Commentationes Mathematicae Universitatis Carolinae 48 (2007), no. 1, 25--40.

Bounded orbit injections and suspension equivalence for minimal Z2-actions,
with S. Lightwood, Ergodic Theory and Dynamical Systems 26 (2007) 1--30.

Topological realizations of families of ergodic automorphisms, multitowers and orbit equivalence,
with I. Kornfeld, Israel Journal of Mathematics 155 (2006), 335--357.

Bounds for graph expansions via elasticity,
with M. Neumann, Electronic Journal of Linear Algebra 10 (2003) 163--178.

On the elasticity of the Perron root of a nonnegative matrix,
with S. Kirkland, M. Neumann and J. Xu, SIAM J. on Matrix Analysis and Applications 24 (2002), no. 2, 454--464.

Topological invariants for substitution tiling spaces,
with C. Radin and L. Sadun, Geometriae Dedicata 90 (2002), no. 1, 153--182

The spectra of nonnegative integer matrices via formal power series,
with K. H. Kim and F. Roush, J. Amer. Math. Soc. 13 (2000), 773--806.

Real coboundaries for minimal homeomorphisms,
Pacific Journal Mathematics 195 (2000), no. 2, 453--476.

Strong orbit realization for minimal homeomorphisms,
Journal d'Analyse Mathematique, 71 (1997), 103--133.

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, Foundations courses.

PinS project: Nathan McNew Ordered Direct Limits of GL(2,Z) (summer 2007).

Undergraduate research project: G. Saenz, C. Jackson, R. Crumley, The asymmetric propeller revisited, College Mathematics Journal, 31 (2000), no. 5, 347--349.

Undergraduate research project: E. Slater, E. Dutko, The topology of Triomino vs. Sphinx tilings.

Mathematics Department Teaching Award, University of Texas (Fall 1999)

Grants

PROF Research Grant ($14K), with Alvaro Arias

(Summer 2007)

Center for Teaching and Learning $20k Grant ($8K), Operations Research.

(Summer 2006)

PROF Research Grant ($10K), with Petr Vojtěchovský.

(Summer 2004)

Marsico Grant - Short Term Visitor ($500)

(Fall 2004)

Marsico Grant - First Year Seminar, course development ($1500)

(Summer 2004)

Marsico Grant - Intellectual Depth, course development ($1500)

(Summer 2003)

Invited Talks

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)

Fearless Friday Seminar, Colorado College.

(Mar. 2007)

Mile High Conference on Quasigroups, Loops, and Nonassociative Systems, University of Denver.

(July 2005)

Special Session, Topology of Continua, AMS Meeting, Lubbock, TX.

(Apr. 2005)

Fearless Friday Seminar, Colorado College.

(Feb. 2005)

North Dakota State University Mathematics Colloquium

(Apr. 2004)

Dynamical Systems and Related Topics Workshop, Univ. Maryland.

(Mar. 2004)

Special Session, Topological Dynamics and Ergodic Theory, Summer Conference on Topology and its Applications, Washington, DC

(July 2003)

Special Session, Ergodic Theory and Dynamical Systems, AMS Meeting, Bloomington, IN.

(Apr. 2003)

Special Session, Ergodic Theory and Dynamical Systems, AMS Meeting, Boston, MA.

(Oct. 2002)

Special Session, Symbolic Dynamics, AMS National Meeting, San Diego, CA.

(Jan. 2002)

Dynamical Systems and Related Topics Workshop, Univ. Maryland.

(Mar. 2001)

Dynamics Seminar, Tufts Univ.

(Mar. 2001)

Dynamics Seminar, Tufts Univ.

(Nov. 2000)

Dynamical Systems Seminar, Boston Univ.

(Nov. 2000)

Northwest Dynamics Symposium, Univ. Victoria

(May 2000)

Special Session, Symbolic Dynamics, (organizer), AMS Central Sectional Meeting, Univ. Notre Dame.

(Apr. 2000)

Special Session, The Ergodic Theory and Topological Dynamics of Zd and Rd-actions, AMS National Meeting, Washington, DC.

(Jan. 2000)

Special Session, Aperiodic Tiling, AMS Central Sectional Meeting, Univ. Texas.

(Oct. 1999)

Special Session, Graph Theory, AMS Western Section Meeting, Univ. Nevada, Las Vegas.

(Apr. 1999)

Saturday Morning Math Group, Univ. Texas.

(Mar. 1999)

Special Session, Dynamical Systems, AMS Western Sectional Meeting, Univ. Arizona.

(Nov. 1998)

Special Session, C*-algebras and Dynamics, AMS Western Sectional Meeting, Univ. California, Davis.

(Apr. 1998)

Dynamical Systems and Related Topics Workshop, Univ. Maryland.

(Mar. 1998)

Special Session, Symbolic Dynamics, AMS Southeastern Sectional Meeting, Univ. Memphis.

(Mar. 1997)

Summer School, Symbolic Dynamics and Applications, Univ. de la Frontera, Chile.

(Jan. 1997)

Dynamical Systems and Related Topics Workshop, Penn State Univ.

(Oct. 1995)

Special Session, Ergodic Theory, AMS Northeastern Sectional Meeting, Northeastern Univ.

(Oct. 1995)

Conference, Probabilistic Aspects of Single Orbit Dynamics, California State Univ., Bakersfield.

(June 1995)

Service

University - Ethics and Plagiarism Committee, Undergraduate Council (Fall 2006 - present)

Division - Teaching Task Force (Chair)

Departmental - Advising, Actuarial Liaison, Pi Mu Epsilon Faculty Advisor, Assessment Committee

Last Updated - Sept 17, 2007