John Quigg

WXLR 728 TEMPE, AZ 852871804

Mail code: 1804Campus: Tempe

John Quigg’s research is in the area of C*algebras. This is the mathematics that grew out of quantum mechanics in the first half of the 20th century. The states of a quantum system can be modeled as unit vectors in a Hilbert space, and the observables can be modeled as operators on the Hilbert space. Combining the operators algebraically and closing under limits gives a concrete C*algebra. The study of C*algebras makes connections with many parts of mathematics, including analysis, algebra, topology, geometry, and discrete math. The area of C*algebras has has been applied to such diverse areas as dynamical systems, quantum field theory, wavelets, and number theory. In addition to many papers on the subject of C*algebras, John Quigg has coauthored an American Mathematical Society Memoir connecting C*dynamical systems to category theory.
Ph.D. Drexel University, PA 1979
 S. Kaliszewski, T. Omland, and J. Quigg. CuntzLi algebras from aadic numbers. Revue Roumaine de Math Pures et Appliques (2014).
 S. Kaliszewski and J. Quigg. Coactions and skew products for topological graphs. Integral Equations and Operator Theory (2013).
 S. Kaliszewski, J. Quigg, and D. Robertson. Functoriality of CuntzPimsner correspondence maps. Journal of Mathematical Analysis and Applications (2013).
 S. Kaliszewski, M. B. Landstad, and J. Quigg. Exotic group C*algebras in noncommutative duality. New York Journal of Mathematics (2013).
 S. Kaliszewski, N. Patani, and J. Quigg. Obstructions to a general characterization of graph correspondences. Journal of the Australian Mathematical Society (2013).
 S. Kaliszewski, P. S. Muhly, J. Quigg, and D. P. Williams. Fell bundles and imprimitivity theorems. Münster Journal of Mathematics (2013).
 S. Kaliszewski, P. S. Muhly, J. Quigg, and D. P. Williams. Fell bundles and imprimitivity theorems: Mansfield's and Fell's theorems. Journal of the Australian Mathematical Society (2013).
 S. Kaliszewski, M. Landstad, and J. Quigg. A crossedproduct approach to the CuntzLi algebras. Proceedings of the Edinburgh Mathematical Society (2012).
 S. Kaliszewski, N. Larsen, and J. Quigg. Inner coactions, Fell bundles, and abstract uniqueness theorems. Münster Journal of Mathematics (2012).
 S. Kaliszewski, N. Patani, and J. Quigg. Characterizing Graph C*Correspondences. Houston J. Math (2012).
 V. Deaconu, A. Kumjian, and J. Quigg. Group actions on topological graphs. Ergodic Theory and Dynamical Systems (2012).
 A. an Huef, J. Quigg, I. Raeburn, and D. P. Williams. Full and reduced coactions of locally compact groups on C*algebras. Expositiones Mathematicae (2011).
 E. B ´edos, S. Kaliszewski, and J. Quigg. On reflectivecoreflective equivalence and associated pairs. Theory and Applications of Categories (2011).
 E. B ´edos, S. Kaliszewski, and J. Quigg. Reflectivecoreflective equivalence. Theory and Applications of Categories (2011).
 S. Kaliszewski, P. S. Muhly, J. Quigg, and D. P. Williams. Coactions and Fell bundles. New York J. Math (2010).
 D. Pask, John Quigg, A. Sims. Coverings of skew products and crossed products by coactions. J. Australian Math. Soc (2009).
 S. Kaliszewski, John Quigg. Categorical Landstad duality for actions. Indiana Univ. Math. J (2009).
 S. Kaliszewski, M. B. Landstad, J. Quigg. Hecke C*algebras and semidirect products. Proc. Edinburgh Math. Soc (2009).
 S. Kaliszewski, John Quigg, I. Raeburn. Proper actions, fixedpoint algebras and naturality in nonabelian duality. J. Funct. Anal (2008).
 S. Kaliszewski, M. B. Landstad, and J. Quigg. Hecke C*algebras, Schlichting completions, and Morita equivalence. Proc. Edinburgh Math. Soc (2008).
 S Kaliszewski, John Quigg. Landstad's characterization for full crossed products. New York J. Math (2007).
 John Quigg. Bundles of C*correspondences over directed graphs and a theorem of Ionescu. Proc. Amer. Math. Soc (2006).
 Echterhoff, S., Kaliszewski, S., Quigg, J., Raeburn, I. A Categorical Approach to Imprimitivity Theorems for C*Dynamical Systems. (2006).
 D Pask, John Quigg, I Raeburn. Coverings of kgraphs. J. Algebra (2005).
 Steven Kaliszewski, John Quigg. Mansfield's Imprimitivity Theorem for Full Crossed Products. Trans. Amer. Math. Soc (2005).
 D Pask, John Quigg, I Raeburn. Fundamental groupoids of kgraphs. New York J. Math (2004).
 John Quigg, R Exel, M Laca. Partial dynamical systems and C*algebras generated by partial isometries. J. Operator Theory (2002).
 John Quigg, S Echterhoff. Full duality for coactions of discrete groups. Math. Scand (2002).
 John Quigg, S Kaliszewski. Three bimodules for Mansfield's imprimitivity theorem. J. Austral. Math. Soc (2001).
 Steven Kaliszewski, John Quigg, I Raeburn. Skew products and crossed products by coactions. J. Operator Theory (2001).
 S Echterhoff, S Kaliszewski, John Quigg, I Raeburn. Naturality and induced representations. Bull. Austral. Math. Soc (2000).
 S Kaliszewski, John Quigg. Equivariance and imprimitivity for discrete Hopf C*coactions. Bull. Austral. Math. Soc (2000).
 Quigg,John C*, Kaliszewski,Steven, Spielberg,John Samuel. Collaborative Research: Operator theoryoperator algebras GPOTS 20112012. NSFMPSDMS(1/15/2011  12/31/2013).
 Quigg,John C*. WEST COAST OPERATOR ALGEBRA SEMINAR. NSFMPS(8/15/2001  7/31/2002).
 Quigg,John C*. C* DYNAMICAL SYSTEMS. NSFMPS(6/15/1994  5/31/1998).
 Quigg,John C*. MATHEMATICAL SCIENCE: HILBERT SPACE OPERATORS. NSF(7/1/1988  6/30/1992).
Courses
2025 Spring
Course Number  Course Title 

MAT 493  Honors Thesis 
MAT 499  Individualized Instruction 
MAT 590  Reading and Conference 
MAT 599  Thesis 
MAT 571  Real Analysis II 
MAT 792  Research 
MAT 799  Dissertation 
MAT 795  Continuing Registration 
MAT 591  Seminar 
2024 Fall
Course Number  Course Title 

MAT 492  Honors Directed Study 
MAT 590  Reading and Conference 
MAT 570  Real Analysis I 
MAT 792  Research 
MAT 799  Dissertation 
MAT 371  Advanced Calculus I 
MAT 591  Seminar 
MAT 595  Continuing Registration 
MAT 792  Research 
MAT 590  Reading and Conference 
MAT 599  Thesis 
2024 Summer
Course Number  Course Title 

MAT 792  Research 
MAT 792  Research 
MAT 792  Research 
MAT 795  Continuing Registration 
MAT 595  Continuing Registration 
MAT 795  Continuing Registration 
MAT 799  Dissertation 
MAT 799  Dissertation 
2024 Spring
Course Number  Course Title 

MAT 493  Honors Thesis 
MAT 499  Individualized Instruction 
MAT 590  Reading and Conference 
MAT 599  Thesis 
MAT 792  Research 
MAT 799  Dissertation 
MAT 795  Continuing Registration 
MAT 371  Advanced Calculus I 
MAT 598  Special Topics 
MAT 591  Seminar 
2023 Fall
Course Number  Course Title 

MAT 492  Honors Directed Study 
MAT 590  Reading and Conference 
MAT 792  Research 
MAT 799  Dissertation 
MAT 591  Seminar 
MAT 595  Continuing Registration 
MAT 792  Research 
MAT 590  Reading and Conference 
MAT 599  Thesis 
2023 Summer
Course Number  Course Title 

MAT 792  Research 
MAT 792  Research 
MAT 792  Research 
MAT 795  Continuing Registration 
MAT 595  Continuing Registration 
MAT 795  Continuing Registration 
MAT 799  Dissertation 
2023 Spring
Course Number  Course Title 

MAT 493  Honors Thesis 
MAT 499  Individualized Instruction 
MAT 590  Reading and Conference 
MAT 599  Thesis 
MAT 792  Research 
MAT 799  Dissertation 
MAT 371  Advanced Calculus I 
MAT 579  Functional Analysis II 
MAT 591  Seminar 
2022 Fall
Course Number  Course Title 

MAT 492  Honors Directed Study 
MAT 578  Functional Analysis I 
MAT 590  Reading and Conference 
MAT 792  Research 
MAT 799  Dissertation 
MAT 591  Seminar 
MAT 595  Continuing Registration 
MAT 792  Research 
MAT 590  Reading and Conference 
MAT 599  Thesis 
2022 Summer
Course Number  Course Title 

MAT 792  Research 
MAT 792  Research 
MAT 792  Research 
MAT 795  Continuing Registration 
MAT 595  Continuing Registration 
MAT 795  Continuing Registration 
2022 Spring
Course Number  Course Title 

MAT 493  Honors Thesis 
MAT 499  Individualized Instruction 
MAT 590  Reading and Conference 
MAT 599  Thesis 
MAT 792  Research 
MAT 799  Dissertation 
MAT 473  Intermediate Real Analysis II 
MAT 371  Advanced Calculus I 
MAT 584  Internship 
2021 Fall
Course Number  Course Title 

MAT 472  Intermediate Real Analysis I 
MAT 492  Honors Directed Study 
MAT 590  Reading and Conference 
MAT 792  Research 
MAT 799  Dissertation 
MAT 591  Seminar 
MAT 595  Continuing Registration 
MAT 792  Research 
MAT 590  Reading and Conference 
2021 Summer
Course Number  Course Title 

MAT 792  Research 
MAT 792  Research 
MAT 792  Research 
MAT 795  Continuing Registration 
MAT 792  Research 
MAT 595  Continuing Registration 
MAT 795  Continuing Registration 
2021 Spring
Course Number  Course Title 

MAT 499  Individualized Instruction 
MAT 590  Reading and Conference 
MAT 599  Thesis 
MAT 571  Real Analysis II 
MAT 591  Seminar 
MAT 792  Research 
MAT 799  Dissertation 
MAT 792  Research 
2020 Fall
Course Number  Course Title 

MAT 590  Reading and Conference 
MAT 570  Real Analysis I 
MAT 792  Research 
MAT 799  Dissertation 
MAT 599  Thesis 
MAT 591  Seminar 
MAT 598  Special Topics 
MAT 595  Continuing Registration 
MAT 792  Research 
MAT 590  Reading and Conference 
2020 Summer
Course Number  Course Title 

MAT 792  Research 
MAT 792  Research 
MAT 792  Research 
MAT 795  Continuing Registration 
MAT 799  Dissertation 
MAT 792  Research 
MAT 595  Continuing Registration 
2020 Spring
Course Number  Course Title 

MAT 499  Individualized Instruction 
MAT 590  Reading and Conference 
MAT 599  Thesis 
MAT 792  Research 
MAT 799  Dissertation 
MAT 579  Functional Analysis II 
2019 Fall
Course Number  Course Title 

MAT 578  Functional Analysis I 
MAT 590  Reading and Conference 
MAT 300  Mathematical Structures 
MAT 792  Research 
MAT 799  Dissertation 
MAT 599  Thesis 
MAT 595  Continuing Registration 
 John Quigg. Proper actions and coactions. ASU C*Seminar (Oct 2014).
 John Quigg. The nondegenerate, the enchilada, and the outer. seminar at University of Otago, New Zealand (Aug 2014).
 John Quigg. The nondegenerate, the enchilada, and the outer. seminar at University of Wollongong, Australia (Jul 2014).
 John Quigg. Trouble in CPLand. Great Plains Operator Theory Symposium, Manhattan, KS (May 2014).
 John Quigg. Trouble in CPLand. seminar at Dartmouth College (May 2014).
 John Quigg. Exact and exotic crossed products. ASU C*Seminar (Oct 2013).
 John Quigg. Exotic coactions. seminar at Norwegian University of Science and Technology (Aug 2013).
 John Quigg. Exotic coactions. Workshop on groups, dynamical systems, and C*algebras (Aug 2013).
 John Quigg. Exotic coactions. Great Plains Operator Theory Symposium, Berkeley, CA (May 2013).
 John Quigg. Ktheory for C*algebras. ASU C*Seminar (Feb 2013).
 John Quigg. Fell bundles and imprimitivity theorems: towards a universal generalized fixed point algebra. seminar at Norwegian University of Science and Technology (Nov 2012).
 John Quigg. Functoriality and CuntzPimsner algebras. seminar at Norwegian University of Science and Technology (Oct 2012).
 John Quigg. Exotic group C*algebras. seminar at University of Oslo (Aug 2012).
 John Quigg. Functoriality of CuntzPimsner algebras. Great Plains Operator Theory Symposium, Houston, TX, (Jun 2012).
 John Quigg. Fell bundles over groupoids, and imprimitivity. Groupoid Fest, Reno, NV (Jan 2012).
 John Quigg. Intro to Hilbert modules. ASU C*Seminar (Sep 2011).
 John Quigg. A crossedproduct approach to the CuntzLi algebras. seminar at University of Otago (Jul 2011).
 John Quigg. Functoriality of CuntzPimsner algebras. seminar at University of Wollongong (Jul 2011).
 John Quigg. Fields, bundles and Hilbert modules, wrapup. ASU C*Seminar (Apr 2011).
 John Quigg. Organizational meeting  C*bundles. ASU C*Seminar (Jan 2011).
 John Quigg. Topological graphs and principal bundles. OsloTrondheim operator algebra seminar (1day conference), Oslo, Norway (Dec 2010).
 John Quigg. Introduction to graph algebras and CuntzPimsner algebras. ASU C*Seminar (Nov 2010).
 John Quigg. Introduction to Hilbert modules. ASU C*Seminar (Sep 2010).
 Steve Kaliszewski and John Quigg. Categorical Perspectives in noncommutative duality. Summer school on C*algebras and their interplay with dy namical systems, Sophus Lie Conference Cen (Jun 2010).
 John Quigg. Multiplier bimodules and CuntzPimsner algebras. Great Plains Operator Theory Symposium, Denver, CO (Jun 2010).
 John Quigg. Topological graphs and principal bundles. seminar at Norwegian University of Science and Technology (May 2010).
 John Quigg. Topological graphs and principal bundles. colloquium at Dartmouth College, Hanover, NH (Apr 2010).
 Quigg, John. Skew Products of Topological Graphs and Noncommutative Duality. Special Session on Operator Algebras, Regional AMS Meeting, Riverside, CA (Nov 2009).
 John Quigg. Skew products of topological graphs and noncommutative duality. C*Seminar (Nov 2009).
 John Quigg. Skew products of topological graphs and noncommutative duality. Fields Institute (Toronto, Canada) (Jul 2009).
 John Quigg. Application of coactions to direct integrals. Great Plains Operator Theory Symposium, Boulder, CO (Jun 2009).
 John Quigg. Topological graphs. C*Seminar (Apr 2009).
 John Quigg. C*Coactions and Fell Bundles  the Discrete Case. Noncommutative Duality Week, Dartmouth College (Feb 2009).
 John Quigg. The spectral theorem, and Fell bundles over groupoids, III. C*Seminar (Dec 2008).
 John Quigg. The spectral theorem, and Fell bundles over groupoids, II. C*Seminar (Nov 2008).
 John Quigg. Application of coactions to direct integrals. Groupoid Fest, Riverside, CA (Nov 2008).
 John Quigg. The spectral theorem, and Fell bundles over groupoids. C*Seminar (Oct 2008).
 John Quigg. Applications of nonabelian duality to higherrank graph C*algebras. University of Wollongong (Australia) (Aug 2008).
 John Quigg. Applications of nonabelian duality to higherrank graph C*algebras. University of New South Wales (Sydney, Australia) (Aug 2008).
 John Quigg. Applications of nonabelian duality to higherrank graph algebras. University of Guelph (Canada) (Jul 2008).
 John Quigg. Coverings of skewproducts and crossed products by coactions. Fields Institute (Toronto, Canada) (Jul 2008).
 John Quigg. Coverings of skewproducts and crossed products by coactions. Great Plains Operator Theory Symposium, Cincinnati, OH (Jun 2008).
 John Quigg. Proper actions, fixedpoint algebras, and naturality in nonabelian duality. C*Algebras Associated to Discrete and Dynamical Systems, BIRS, Banff (Canada) (Jan 2008).
 Quigg, John. Categorical Landstad duality (3 talks). ASU C*Seminar (Sep 2006).
 Kaliszewski, S, Quigg, John. Landstad's characterization for full crossed products. University of Newcastle, Newcastle, Australia (Aug 2006).
 Kaliszewski, S, Quigg, John. A groupoid approach to imprimitivity theorems. Norwegian University of Science and Technology, Trondheim, Norway (Jun 2006).
 Kaliszewski, S, Quigg, John. A groupoid approach to imprimitivity theorems. University of Oslo, Oslo, Norway (Jun 2006).
 Kaliszewski, S, Quigg, John. Landstad's characterization for full crossed products. Great Plains Operator Theory Symposium (May 2006).
 Quigg, John. Weaver's proof of spectral multiplicity (2 talks). ASU C*Seminar (Feb 2006).
 Kaliszewski, S, Muhly, P, Quigg, John. Groupoid bundles and imprimitivity. Groupoid Fest, Ames, IA (Nov 2005).
 Quigg, John. C*Completions of Hecke Algebras. Operator Algebras and Applications (Jun 2005).
 Kaliszewski, S, Lansdtad, M, Quigg, John. C*Completions of Hecke Algebras. Operator Algebras and Applications, National University of Ireland, Cork, Ireland (Jun 2005).
 Quigg, John. Fundamental Groupoids of Categories. Groupoid Fest (Nov 2004).
 Quigg, John. kgraphs, coverings, and coactions. NSFCBMS Regional Research Conference on Graph Algebras (Jun 2004).
 Quigg, John. kgraphs, coverings, and coactions. Great Plains Operator Theory Symposium (May 2004).
 Quigg, John. kGraphs, Coverings, and Coactions. Special Session on Groupoids in Analysis and Geometry, Regional AMS Meeting (Oct 2003).
 Quigg, John. The full Mansfield, Special Session on operator algebras and noncommutative geometry. Annual Meeting of the Australian Mathematical Society (Oct 2002).
 Quigg, John. The full Mansfield. Great Plains Operator Theory Symposium (May 2002).
 Quigg, John. Maximal coactions. Centre for Advanced Study (Dec 2001).
 Quigg, John. Maximal coactions, Special Session on C*algebras and crossed products. Regional AMS Meeting (Mar 2001).
 Quigg, John. A groupoid approach to imprimitivity theorems. Groupoid Fest (Nov 2000).
 Quigg, John. Categorical Landstad duality. C*Algebras and Their Invariants
 Quigg, John. Categorical Landstad duality. Great Plains Operator Theory Symposium
 Quigg, John. Categorical Landstad duality. Norwegian University of Science and Technology
 Quigg, John. Coactions: a curious category. University of Wollongong
 Quigg, John. Using groupoids to restrict coactions to homogeneous spaces. Groupoid Fest
 Theoretical Math Seminar Committee, member (2013  Present)
 Graduate Committee, member (head of MAT PhD program) (2010  Present)
 Ad hoc committee to revise analysis qualifier sequence, member (2008  Present)
 Faculty Mentor, mentor (2007  Present)
 Faculty Mentor (Susanna Fischel), (2007  Present)
 Rocky Mountain Journal of Mathematics, managing editor (2001  Present)
 Graduate Committee, member (head of MAT PhD program) (2014  2015)
 Transactions of the American Mathematical Society, referee (2014  2014)
 Indiana University Mathematics Journal, referee (2014  2014)
 Graduate Committee, member (head of MAT PhD program) (2013  2014)
 Theoretical Math Seminar Committee, chair (2013  2014)
 Bulletin of the London Mathematical Society, referee (2014  2014)
 Dartmouth College, external opponent for PhD defense (2014  2014)
 IndoUS Science & Technology Forum (IUSSTF), referee grant proposal (2014  2014)
 Applied Categorical Structures, referee (2013  2013)
 Indiana University Mathematics Journal, referee (2013  2013)
 National Security Administration, referee grant proposal (2013  2013)
 Transactions of the American Mathematical Society, referee (2013  2013)
 Tenure and Promotion Committee for Wenbo Tang, member (2013  2013)
 Bulletin of the London Math Society, referee (2012  2012)
 Norwegian University of Science and Technology, external reviewer for promotion to full professor (2012  2012)
 University of Oslo, external opponent for PhD defense (2012  2012)
 Graduate Committee, member (head of MAT PhD program) (2010  2012)
 Studia Mathematica, referee (2011  2011)
 Great Plains Operator Theory Symposium (GPOTS), coorganize with S. Kaliszewski and J. Spielberg (2010  2011)
 Proceedings American Mathematical Society, referee (2010  2011)
 Studia Mathematica, referee (2009  2010)
 Personnel and Budget Committee, member (2006  2010)
 Studia Mathematica, referee (2009  2010)
 International Journal of Mathematics and Mathematical Sciences, referee (2009  2009)
 International Journal of Mathematics and Mathematical Sciences, referee (2009  2009)
 Personnel and Budget Committee, member (2006  2009)
 Journal of Operator Theory, referee (2008  2008)
 In charge of Math PhD program, chair (2008  2008)
 National Science Foundation, referee grant proposal (2008  2008)
 National Security Administration, referee grant proposal (2008  2008)
 Studia Mathematica, referee (2008  2008)
 Director Search Committee, member (2007  2008)
 Search Committee, Chair (2007  2008)
 Rocky Mountain Journal of Mathematics, referee (2008  2008)
 Bulletin of the Brazilian Mathematical Society, referee (2007)
 Journal of Functional Analysis, referee (2007)
 Proceedings of the London Mathematical Society, referee (2007)
 USIsrael Binational Science Foundation, referee grant proposal (2007)
 AMS Special Session on Operator Algebras, coorganize with S. Kaliszewski and J. Spielberg (2006  2007)
 J. Operator Theory, referee (2006  2006)
 Proc. Amer. Math. Soc, referee (2006  2006)
 Rocky Mountain J. Math, referee (2006  2006)
 Groupoid Fest, coorganize with S. Kaliszewski and J. Spielberg (2006  2006)
 Grad Committee, member (2005  2006)
 Dean's Faculty Advisory Council, chair (2003  2006)
 Dean's Faculty Advisory Council, member (2003  2006)
 Qualifier Exam Committee, member (2005  2005)
 Central European Journal of Mathematics, referee (2005  2005)
 Expositiones Mathematicae, referee (2005  2005)
 Qualifier Exam Committee, chair (2005  2005)
 University Sains Malaysia, external promotion/tenure reviewer (2005  2005)
 University of Newcastle, Newcastle, Australia, external PhD thesis examiner (2005  2005)
 Proceedings of the American Mathematical Society, referee (2003  2004)
 Promotion Subcommittee, chair (2003  2004)
 Rocky Mountain Journal of Mathematics, referee (2003  2004)
 Hiring Committee, chair (2004)
 Affirmative Action Committee, chair (2003)
 Graduate Mentoring Committee, member (2003)
 Search Committee, chair (2003)
 Transactions of the American Mathematical Society, referee (2003)