Nathan S. Feldman

Curriculum Vitae

 

Radford Professor of Mathematics

Department of Mathematics

Washington and Lee University

Lexington, VA 24450

Phone:

Fax:

e-mail:

WWW:

540-458-8033

540-458-8479

feldmanN at wlu dot edu

http://home.wlu.edu/~feldmann

 

 

EDUCATION:

Ph.D. in Math University of Tennessee 1997
           ThesisThe 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 - Present     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.  Recent work involves the study of the cyclic behavior of adjoints of subnormal and hyponormal operators.

Publications

 

 

INVITED & CONTRIBUTED TALKS

 

2015

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

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
Nov. 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


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