EDUCATION:

Ph.D. in Math University of Tennessee 1997
           Thesis:The Self-Commutator of a Subnormal Operator

M.S. in Math  University of Tennessee 1993
              Thesis: Rigidity of Complete Hyperbolic Manifolds and Riemann Surfaces

B.S. in Math  Utah State University 1990

PROFESSIONAL EXPERIENCE:

2004 - Present      Associate Professor at Washington & Lee University

1999 - 2004         Assistant Professor at Washington & Lee University

1997 - 1999         Visiting Research Instructor (Postdoc) at Michigan State University

1990 - 1997         Graduate Teaching Assistant at University of Tennessee, Knoxville

Fall 1989             Instructor at Utah State University

PROFESSIONAL MEMBERSHIPS & GRANTS:

Member of American Mathematical Society, Mathematical Association of America, and Pi Mu Epsilon

1999 - 2002 NSF Research Grant - Operator Theory and Complex Analysis

My Ph.D. advisor was John B. Conway, his advisor was Herron Collins,... see my Mathematical Lineage

RESEARCH:

My research area is analysis.  I specialize in operator theory and complex analysis.  More precisely, I study linear operators on Hilbert space that are "close to normal operators", such as subnormal and hyponormal operators.  Recent work involves the study of the cyclic behavior of adjoints of subnormal and hyponormal operators.

Publications

INVITED & CONTRIBUTED TALKS

 

2009 Joint AMS-MAA Meeting at Washington DC, January 8, 2009 Title:  Hypercyclic Operators with a Prescribed Spectrum Distinguished Visiting Professor at Bucknell University, Lewisburg, PA, April 6 - 10, 2009 Colloquium Talk: A unified approach to some major theorems in topology. Student Talk: Which line best approximates a function? 2008 SEAM XXIV at Vanderbilt University, March 5-8, 2008 Title: Somewhere Dense Orbits of Tuples of Operators Invited Speaker at the 5th Advanced Course in Operator Theory and Complex Analysis in Sevilla, Spain, June 24-26, 2008 Title: Hypercyclic Operators with Prescribed Spectrum Colloquium Talk at Universitat Politecnica de Valencia, Valencia Spain, June 26-27, 2008 Title: Inverse Limits of Hypercyclic Operators Analysis Seminar, George Washington University, Sept. 29, 2008 Title: Invariant Subspaces in the Hardy Space of the Slit Disk 2007 Colloquium Talk at University of Richmond, February 19, 2007 Title: How far from normal are you? SEAM XXIII at University of Richmond, March 9-11, 2007 Title:  Invariant Subspaces on the Slit Disk AMS Sectional Meeting at Tucson, Arizona, April 21-22, 2007 Title:  Invariant Subspaces on the Slit Disk 2006 Distinguished Visiting Professor at Bucknell University, Lewisburg, PA, Feb. 12 - 18, 2006 Colloquium Talk: How far from normal are you? Seminar Talk: The distance to the normal matrices: Part II SEAM XXII at University of Florida, Gainesville, March 1-5, 2006 Title:  Hypercyclic Pairs of Operators GPOTS - Great Plains Operator Theory Symposium at University of Iowa, May 24-28, 2006 Featured Speaker, Title: Subnormality & C*-algebras Oberwolfach, Germany, Mini-Conference on "Hypercyclicity and Linear Chaos", August 13-19, 2006 Title: Hypercyclic Tuples of Operators 2005 VOTCAM at University of Richmond, Richmond, VA February 5, 2005 Title: Subnormal Generators of C*-algebras and Spectral Pictures of Toeplitz Operators Organizer of SEAM XXI held at Washington & Lee University, Lexington, VA, April 8-9, 2005 Distinguished Visiting Professor at Bucknell University, Lewisburg, PA, May 1 - 7, 2005 Colloquium Talk: Special Generators of C*-algebras I Seminar Talk: Special Generators of C*-algebras II Oberwolfach, Germany, Mini-Conference on "Operators on Spaces of Analytic Functions", August 14-20, 2005 Title: Interpolating Measures for Subnormal Operators Colloquium at Washington & Lee University, September 22, 2005 Title:  Oberwolfach & Generalized Eigenvectors 2004 SEAM XX at University of Alabama, Tuscaloosa, March 26-27, 2004 Title:  Subnormal generators of C*-algebras Distinguished Visiting Professor at Bucknell University, Lewisburg, PA, May 10 - 14, 2004 Colloquium Talk:  Linear Operators and Generalized Eigenvectors 2003 SEAM XIX at University of Tennessee, Knoxville, March 21 - 23, 2003 Title:  Exotic Orbits for Linear Operators Distinguished Visiting Professor at Bucknell University, Lewisburg, PA, April 14 - 18, 2003 Colloquium Talk: Understanding the real parts of Calculus through the imaginary parts Seminar Talk: The C*-algebra generated by a subnormal operator Colloquium at Washington & Lee University, April 24, 2003 Title:  Dynamics of Linear Operators YAMS at Furman University, Greenville, SC July 8 - 12, 2003, Invited Speaker Title:  The Fredholm Index of Toeplitz Operators with Continuous Symbols     2002 SEAM XVIII at University of North Carolina, Chapel Hill, March 15 - 17, 2002 Title:  Spectral Picture's of Irreducible Subnormal Operators Analysis Seminar at Washington & Lee University, May 21, 2002 Title:  Orbits of Linear Operators VOTCAM at University of Richmond, Richmond, VA September 12, 2002 Title:  Generalized Eigenvectors and Interpolating Measures for Subnormal Operators     2001 SEAM XVII at University of Georgia, Athens, GA, March 2-3, 2001 Title:  Somewhere Dense Orbits are Everywhere Dense YAMS at Furman University, Greenville, SC, July 10-14, 2001, 30 min., Invited Speaker Title:  The Dynamics of Cosubnormal Operators Distinguished Visiting Professor at Bucknell University, Lewisburg, PA, Sept. 3-7, 2001 Colloquium Talk: Dynamics and Chaos Seminar Talk: The Dynamics of Linear Operators Wabash Modern Analysis Miniconference at Indiana Univ., Sept. 8-9, 2001 Title:  Countably Hypercyclic Operators Analysis Seminar, University of Tennessee, Knoxville, Oct. 1, 2001 Title:  The Dynamics of Linear Operators Trends in Banach Spaces and Operator Theory at Univ. of Memphis, Oct. 5-9, 2001 Title:  Orbits of Linear Operators     2000 SEAM XVI at University of Virginia, March 17-18, 2000 Title:  Hypercyclic and Supercyclic Cohyponormal Operators Analysis Seminar at Univ. of Virginia, April 11, 2000 Title:  The Cyclic behavior of Cosubnormal Operators Wabash Modern Analysis Miniconference at Indianapolis, October 14-15, 2000 Title: Hyponormal Operators with Hypercyclic or Supercyclic Adjoints Colloquium at Brigham Young University, November 20, 2000 Title:  The Dynamics of Linear Operators     1999 Joint AMS-MAA Meeting at San Antonio, TX January 13-16, 1999 Title:  Pure Subnormal Operators have Cyclic Adjoints Colloquium at University of Pittsburgh, January 22, 1999 Title:  Cyclic Subnormal Operators and Trace Estimates Colloquium at Washington & Lee University, February 8, 1999 Title:  The Most Important Matrix Colloquium at University of California, Riverside, February 12, 1999 Title:  Pure Subnormal Operators have Cyclic Adjoints Analysis Seminar at Wayne State University, March 30, 1999 Title:  Pure Subnormal Operators have Cyclic Adjoints Colloquium at Bowling Green State University, April 12, 1999 Title:  Pure Subnormal Operators have Cyclic Adjoints SEAM XV at Vanderbilt University, May 20--23, 1999 Title:  Subnormal Operators with Hypercyclic Adjoints Colloquium at Mississippi State University, November 5, 1999 Title:  Hypercyclic and Supercyclic Cosubnormal Operators     1998 AMS Sectional Meeting at Kansas State Univ., March 27-28, 1998 Title:When is zero an eigenvalue for the self-commutator of a subnormal operator? Colloquium at Michigan State University, April 16, 1998 Title:  Subnormal Operators and C* algebras GPOTS - Great Plains Operator Theory Symposium at Kansas State,  May 27-31, 1998 Title:  Pure Subnormal Operators have Cyclic Adjoints Canadian Math. Soc. Summer Meeting at Univ. of New Brunswick, St. Johns June 13-15, 1998, 25 min. Invited Speaker Title:  Pure Subnormal Operators have Cyclic Adjoints Wabash Modern Analysis Miniconference at Indianapolis, October 10-11, 1998 Title:  Pure Subnormal Operators have Cyclic Adjoints     1997 Analysis Seminar at Virginia Tech, Blacksburg Va., Jan. 20, 1997,  Invited Speaker Title:  The Self-Commutator of a Subnormal Operator SEAM XIII at Gainesville, Florida, March 14-16, 1997, 20 min. Title:  The Berger-Shaw Theorem for Cyclic Subnormal Operators Wabash Modern Analysis Miniconference at Indianapolis, Sept. 20-21 1997, 20 min. Title: Essentially Subnormal Operators Analysis Seminar at Univ. of Michigan, Ann Arbor, Nov. 11, 1997, Invited Speaker Title:  Subnormal Operators and Pseudocontinuations     1996 Young Analysts Meeting of the Southeast (YAMS 2) at Maggie Valley, NC, November 9-10, 1996, 50 min. Invited Speaker Title:  The Self-Commutator of a Subnormal Operator     1995 South Eastern Analysis Meeting (SEAM XI) at Georgia Tech., March 3-5, 1995, 20 min. Title:  On the failure of spectral mapping theorems for subnormal operators Workshop on Holomorphic Spaces at MSRI, October 16-20, 1995, 25 min. Title:  Integrability of Hardy space functions and pointwise multipliers of the Hardy space into the Bergman space