John Spielberg

Associate Professor
Faculty
TEMPE Campus
Mailcode
1804

Biography

Jack Spielberg works in the area of operator algebras, which combines fundamental aspects of algebra and functional analysis. Operator algebras were introduced in the first half of the 20th century to give a rigorous mathematical model for quantum mechanics. In particular, the uncertainty principle indicates that certain fundamental physical quantities, such as position and momentum, are noncommuting, a phenomenon having no place in classical physics. The operators required to represent them act on infinite dimensional vector spaces, and the high degrees of noncommutativity occurring have resulted in new discoveries in both analysis and algebra. The development of the field led to deep connections with other branches of mathematics, such as topology and geometry.

Education

Ph.D. University of California-Berkeley 1985

 

Publications

  • Jack Spielberg. Groupoids and C*-algebras for categories of paths. Transactions of the American Mathematical Society, vol. 366, Number 11, November 2014, pages 5771-5819 (2014).
  • Jack Spielberg. C*-algebras for categories of paths associated to the Baumslag-Solitar groups. Journal of the London Mathematical Society (2012).
  • Menassie Ephrem and Jack Spielberg. K-theory of C*-algebras of directed graphs. Houston Journal of Mathematics (2011).
  • Jack Spielberg. C*-algebras for categories of paths asociated to the Baumslag-Solitar groups. (2011).
  • Jack Spielberg. Groupoids and C*-algebras for categories of paths. (2011).
  • Jack Spielberg. Semiprojectivity for certain purely infinite C*-algebras. Transactions of the American Mathematical Society (2009).
  • John Spielberg. A functorial approach to the C-algebras of a graph. International J. Math (2002).

Research Activity

Courses

Fall 2019
Course Number Course Title
MAT 300 Mathematical Structures
MAT 495 Undergraduate Research
MAT 590 Reading and Conference
MAT 792 Research
MAT 799 Dissertation
Summer 2019
Course Number Course Title
MAT 792 Research
Spring 2019
Course Number Course Title
MAT 371 Advanced Calculus I
MAT 493 Honors Thesis
MAT 571 Real Analysis II
MAT 590 Reading and Conference
MAT 792 Research
MAT 799 Dissertation
Fall 2018
Course Number Course Title
MAT 342 Linear Algebra
MAT 495 Undergraduate Research
MAT 570 Real Analysis I
MAT 590 Reading and Conference
MAT 792 Research
MAT 799 Dissertation
Summer 2018
Course Number Course Title
MAT 495 Undergraduate Research
MAT 590 Reading and Conference
MAT 792 Research
Spring 2018
Course Number Course Title
MAT 371 Advanced Calculus I
MAT 372 Advanced Calculus II
MAT 493 Honors Thesis
MAT 590 Reading and Conference
MAT 792 Research
Fall 2017
Course Number Course Title
MAT 342 Linear Algebra
MAT 371 Advanced Calculus I
MAT 495 Undergraduate Research
MAT 590 Reading and Conference
MAT 792 Research
Summer 2017
Course Number Course Title
MAT 495 Undergraduate Research
MAT 590 Reading and Conference
MAT 792 Research
Spring 2017
Course Number Course Title
MAT 242 Elementary Linear Algebra
MAT 493 Honors Thesis
MAT 571 Real Analysis II
MAT 590 Reading and Conference
MAT 792 Research
Fall 2016
Course Number Course Title
MAT 371 Advanced Calculus I
MAT 570 Real Analysis I
MAT 590 Reading and Conference
MAT 792 Research
Summer 2016
Course Number Course Title
MAT 590 Reading and Conference
MAT 792 Research
Spring 2016
Course Number Course Title
MAT 493 Honors Thesis
MAT 590 Reading and Conference
Fall 2015
Course Number Course Title
MAT 590 Reading and Conference
Summer 2015
Course Number Course Title
MAT 792 Research
Spring 2015
Course Number Course Title
MAT 370 Intermediate Calculus
MAT 493 Honors Thesis
MAT 579 Functional Analysis II
MAT 591 Seminar

Presentations

  • Jack Spielberg. Groupoids from permutations. Groupoidfest (Nov 2014).
  • Jack Spielberg. C*-algebras of simplicial cones. Operator Algebra and Noncommutative Geometry Seminar, Department of Mathematics, University of Wollo (Jul 2014).
  • Jack Spielberg. C*-algebras associated to simplicial cones in Z^n. Great Plains Operator Symposium (May 2014).
  • Jack Spielberg. C*-algebras of non-finitely aligned categories of paths. Great Plains Operator Theory Symposium (May 2013).
  • Jack Spielberg. Groupoids associated to non-boundary "actions" of certain Baumslag-Solitar groups. Groupoidfest, California State University, San Bernardino (Nov 2012).
  • Jack Spielberg. Fundamental results about semiprojective C*-algebras. Master Class on Semiprojectivity, University of Copenhagen (Aug 2012).
  • Jack Spielberg. Finite alignment and local finite exhaustibility for ordered groups. Great Plains Operator Theory Symposium, University of Houston (Jun 2012).
  • Jack Spielberg. Groupoids for Baumslag-Solitar groups. Groupoidfest, University of Nevada, Reno (Jan 2012).
  • Jack Spielberg. Semiprojectivity for Kirchberg algebras with torsion-free K_1. Workshop on Semiprojectivity and Asymptotic Morphisms The University of Copenhagen (May 2010).
  • Jack Spielberg. Some lifting results related to purely infinite C*-algebras. Special Session on Positivity in Noncommutative Settings, AMS meeting, Albuquerque, NM (Apr 2010).
  • Jack Spielberg. Groups and operators: taking the guesswork out of some familiar (and not so familiar) constructions. Ellis B. Stouffer Colloquium, Dept. of Mathematics, University of Kansas (Feb 2010).
  • Jack Spielberg. Graphs, groupoids and C*-algebras. Simposium An�lisis y F�sica Matem�tica 2010 (Jan 2010).
  • Jack Spielberg. Groupoids of categories of paths. Groupoid Fest, Univ of Colorado, Boulder, CO (Oct 2009).
  • Jack Spielberg. Groupoids and C*-algebras for categories of paths. Great Plains Operator Theory Symposium, Univ Colorado, Boulder, CO (Jun 2009).
  • Spielberg, John. A dynamical restriction on C*-algebras of graphs. Special session of the AMS on Noncommutative Dynamical Systems (Oct 2006).
  • Spielberg, John. Lifting prime-order automorphism from the K-theory of a Kirchberg algebra. 33rd Canadian Operator Symposium, in honor of George Elliott (Jun 2006).
  • Spielberg, John. Prime-order automorphisms of Kirchberg algebras. Conference on Operator Algebras and Applications (Apr 2006).
  • Spielberg, John. Lifting groups of automorphisms from the K-theory of a UCT-Kirchberg algebra. Regional meeting of the American Mathematical Society (Oct 2003).
  • Spielberg, John. Oriented Lambda-Trees and C*-algebras. Special Session of the AMS on Operator Algebras and their Applications (Apr 2003).
  • Spielberg, John. Lambda-trees and C*-algebras. Groupoidfest (Nov 2002).
  • Spielberg, John. Weak semiprojectivity for purely infinite C*-Algebras. Great Plains Operator Theory Symposium (May 2002).
  • Spielberg, John. Semiprojectivity for certain purely infinite C*-algebras. Great Plains Operator Theory Symposium (May 2001).
  • Spielberg, John. Groupoids and C*-algebras for infinite graphs, special session on Operator Algebras. Joint Mathematics Meetings (AMS) (Jan 2000).

Service

  • CLAS Senate, senator (2014 - 2017)
  • University Senate, senator (2014 - 2017)
  • Personnel and budget committee, member (2012 - 2014)
  • Academic standards committee, member (2011 - 2014)
  • CLAS Academic Standards Committee, member (2011 - 2013)
  • CLAS Senate, member (2009 - 2012)
  • University Senate, senator (2009 - 2012)
  • Great Plains Operator Theory Symposium, co-organizer (2010 - 2011)
  • Groupoidfest, Conference co-organizer (2005 - 2006)