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Vita

Nathan S. Feldman
Curriculum Vitae

Radford Professor of Mathematics
Department of Mathematics
Washington and Lee University
Lexington, VA 24450

Phone: 540-458-8033
Fax: 540-458-8479
e-mail: feldmanN at wlu dot edu
WWW: https://feldman.academic.wlu.edu

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:

2015 - 2018       Mathematics Department Chair
2012 - Present    Radford Professor of Mathematics at Washington & Lee University
2010 - 2012        Professor at Washington & Lee University
2004 - 2010        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.  One topic of interest involves the study of the cyclic behavior of adjoints of subnormal and hyponormal operators.  Recent work involves invariant convex sets for linear operators, convex-cyclic operators and convex-polynomial approximation.

Publications

INVITED & CONTRIBUTED TALKS

2017

SEAM 33 at SEAM (the South Eastern Analysis Meeting) at the University of Tennessee, Knoxville, March 17-19, 2017.
Title: Convex-Cyclicity & Convex-Polynomial Approximation


2016

NEAM 1 at SUNY-Brockport, Brockport, NY, October 14-16, 2016
Title:  Convex-Polynomial Interpolation, Approximation & Invariant Convex Sets


2015

SEAM 31 at University of Georgia, Athens, GA, March 9th, 2015
Title:  A Convex-Stone Weierstrass Theorem & Convex Dynamics

Distinguished Visiting Professor at Bucknell University, Lewisburg, PA,
October 26 - 30, 2015
Colloquium Talk: Invariant Convex Sets for Linear Operators
Seminar Talk: Dynamics & Chaos


2014

Distinguished Visiting Professor at Bucknell University, Lewisburg, PA,
April 28 - May 2, 2014
Colloquium Talk: Mathematics, Magic, and Mystery
Seminar Talk: The Dynamics of Linear Operators

Analysis Seminar at Bucknell University, Lewisburg, PA, Oct. 7, 2014
Title:  
Convex-Cyclic Matrices & Operators

Analysis Seminar at Bucknell University, Lewisburg, PA, Oct. 28, 2014
Title:  A Convex Stone-Weierstrass Theorem

Analysis Seminar at Bucknell University, Lewisburg, PA, Nov. 11, 2014
Title:  
Convex-Polynomial Approximation


2013

SEAM 29 at Virginia Tech, March 15th, 2013
Title:  n-Weakly Dense Orbits of Linear Operators

Colloquium at Brigham Young University, April 9, 2013
Title: 
The Dynamics of Linear Operators 
Invited Speaker: 
The Dynamics of Linear Operators


2012

VOTCAM at Virginia Commonwealth University, Richmond, VA
November 3, 2012
Title: 
Dynamics of Linear Operators and Matrices


2011

John Conway Day & SEAM XXVII at Univeristy of Florida, Gainsville
March 17-19, 2011
Invited Speaker: The Cyclic Behavior of Cosubnormal Operators

Analysis Seminar at Univ. of Virginia, November 15, 2011
Title: Dynamics of Linear Operators


2010

Distinguished Visiting Professor at Bucknell University, Lewisburg, PA,
April 19 - 23, 2010
Colloquium Talk: The Dynamics of Linear Operators
Seminar Talk: The Dynamics of Linear Operators II

Functional Analysis Valencia 2010 at University of Valencia, Spain, June 7 - 11, 2010
On the Occasion of the 80th Birthday of Professor Manuel Valdivia
Invited Speaker at the Special Session on Linear Dynamics
Title: n-Weakly Hypercyclic and n-Weakly Supercyclic Operators

AMS Sectional Meeting at University of Richmond, November 6-7, 2010
Invited Speaker - Title: n-Weakly Hypercyclic Operators


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