Andrew J. Dean
- Ph.D. Mathematics, University of Toronto 1999
- M.Sc. Mathematics, University of Toronto 1995
- H.B.Sc. Mathematics, Lakehead University 1994
Ph. D. Students (Co-supervised with D. Kucerovsky at the University of New Brunswick)
- Aydin Sarraf, Thesis: On the classification of certain inductive limits of real circle algebras and multiplicativity of certain Schur operators (2014).
- Christopher Chlebovec, Thesis: Quasi-free actions on graph algebras: KMS states and the structure of crossed products (2016). https://www.lakeheadu.ca/users/C/cchlebov/node/25051
Postdoctoral Fellows
- Dr. Toan Ho, Lakehead University, 2008-2009.
- Dr. Alin Ciuperca, Co-supervised with D. Kucerovsky at the University of New Brunswick, 2009-2011.
- Dr. Luis Santiago, Lakehead University, 2016-2017. https://www.lakeheadu.ca/users/S/lsantiag/node/39092
M.Sc. Student at Lakehead University
- Bit Na Choi, Thesis: A modification of the Effros-Handelamn-Shen Theorem with Z_2 actions. (2020)
I no longer take Ph.D. Students. Prospective graduate students wishing to do an M.Sc. with me at Lakehead University should inquire at:
https://www.lakeheadu.ca/admissions/how-to-apply/applying-to-graduate-studies
Conferences Organised
- The 30-th Canadian Annual Symposium on Operator Algebras and Operator Theory, Lakehead University, May 2002.
- Banff International Research Station Workshop on Amenable Systems, October/November 2004. (I was a member of the organising committee.) http://www.birs.ca/events/2004/5-day-workshops/04w5045
- Canadian Math Society Summer Meeting, Operator Algebras special session, Memorial University, St. John’s Newfoundland, June 2009. (Co-organised with George Elliott and Marco Merkli) http://cms.math.ca/Events/summer09/sessions_scientific
- The 38-th Canadian Annual Symposium on Operator Algebras and Operator Theory, University of New Brunswick, Fredericton New Brunswick, 2010. (Co-organised with D. Kucerovsky.)
- The 45-th Canadian Annual Symposium on Operator Algebras and Operator Theory, Lakehead University, May/June 2017. https://www.lakeheadu.ca/academics/departments/math/-new-page-
Academic Positions Held
- 2009 - Present
Professor of Mathematical Sciences, Lakehead University. - 2017-2019 Chair, Department of Mathematical Sciences, Lakehead University.
- 2007 - 2016
Adjunct Professor of Mathematics, University of New Brunswick - 2006-2008 Chair, Department of Mathematical Sciences, Lakehead University
- 2004 - 2009
Associate Professor of Mathematics, Lakehead University - 1999 - 2004
Assistant Professor of Mathematics, Lakehead University - May - August 1999
Lecturer, University of Toronto
My research deals with C*-dynamical systems, in particular, constructing invariants to classify categories of them. I am also interested in real structures on C* algebras.
Selected publications
[1] A. J. Dean, A continuous field of projectionless C*-algebras, Canadian Journal of Math. 53 (2001), 51-72.
[2] A. J. Dean, An invariant for actions of R on UHF C*-algebras, C.R. Math. Rep. Acad. Sci. Canada. (3) 23 (2001), 91–96.
[3] A. J. Dean, Classification of AF Flows, Canadian Math. Bull. (2) 46 (2003), 164–177.
[4] A. J. Dean, A classification theorem for certain actions of SL(2,R) on C*-algebras, C.R. Math. Rep. Acad. Sci. Canada. (1) 27 (2005), 23-32.
[5] A. J. Dean, On inductive limit type actions of the Euclidean motion group on stable UHF algebras, Canadian Math. Bull. (2) 49 (2006), 213-225.
[6] A. J. Dean, Inductive limits of inner actions on approximate interval algebras generated by elements with finite spectrum, J. Ramanujan Math. Society, 24 (4) (2009).
[7] A. J. Dean, Classification of certain inductive limit type actions of R on C*-algebras, J. Operator Theory, 61 (2)(2009), 439-457.
[8] A. J. Dean and Toan Ho, Classification of certain inductive limit type actions on approximate interval algebras, J. Ramanujan Math. Society, 25 (3) (2010), 323-339.
[9] A. J. Dean, Classification of inductive limits of outer actions of R on approximate circle algebras, Canadian Math. Bulletin. 55 (1) (2012), 73-80.
[10] A. J. Dean, Classification of inductive limits of actions of Z_2 on real AF C*-algebras, J. Ramanujan Math. Society, 30 (2) (2015), 161-178.
[11] A. J. Dean, Classification of actions of compact groups on real approximately finite dimensional C*-algebras, Houston J. Math, 42 (4) (2016), 1227-1243.
[12] A. J. Dean, D. Kucerovsky, and A. Sarraf, On the classification of certain inductive limits of real circle algebras, New York J. Math. 22 (2016), 1393-1438.
[13] A. J. Dean, Classification of locally representable actions of finite dimensional quantum groups on AF C*-algebras, J. Ramanujan Math. Society, 31 (4) (2016) 399-418.
[14] C. Chlebovec and A. J. Dean, Non-Unital ASH Algebras arising as Crossed Products of Graph Algebras, New York J. of Math, 26 (2020), 446–466.
[15] Bit Na Choi and A. J. Dean, A Modification of the Effros-Handelman-Shen Theorem With Z_2 Actions, C. R. Math. Rep. Acad. Sci. Canada Vol. 43 (3) 2021, 87-102.
[16] A. J. Dean and L. Santigo Moreno, Classification of Real Approximate Interval C*-algebras, to appear, (2022).