PhD 1990 (University of Toronto)

Professor of Mathematics

Dean, Faculty of Science

Contact

Faculty of Science

University of Regina

Regina, Saskatchewan S4S 0A2, Canada

e-mail: douglas.farenick "at" uregina.ca

Office location: Laboratory Building 225; Telephone (306) 585-4143

Area of Research

Operator theory

Refereed Publications, 2012-2022

- D. Farenick, R. Tessier, Purity of embeddings of operator systems in their C*- and injective envelopes, Pacific Journal of Mathematics 317 (2022), 317-338.
- D. Farenick, O. Ojo, S. Plosker, Universality of Weyl unitaries, Linear Algebra and its Applications 634 (2022), 57-76.
- D. Farenick, The operator system of Toeplitz matrices, Transactions of the American Mathematical Society Series B 8 (2021), 999-1023.
- D. Farenick, F. Huntinghawk, A. Masanika, S. Plosker, Complete order equivalence of spin unitaries, Linear Algebra and its Applications 610 (2021), 1-28. Corrigendum 635 (2022), 201-202.
- D. Farenick, A. Kavruk, V.I. Paulsen, I.G. Todorov, Characterisations of the weak expectation property, New York Journal of Mathematics 24a (2018), 107-135.
- D. Farenick, M. Rahaman, Bures contractive channels on operator algebras, New York Journal of Mathematics 23 (2017), 1369-1393.
- D. Farenick, S. Jaques, M. Rahaman, The fidelity of density operators in an operator-algebraic framework, Journal of Mathematical Physics 57 (2016), 102202 (15pp).
- D. Farenick, M. Mastnak, A. Popov, Isometries of the Toeplitz matrix algebra, Journal of Mathematical Analysis and Applications 434 (2016), 1612-1632.
- D. Farenick, M. Kozdron, S. Plosker, Spectra and variance of quantum random variables, Journal of Mathematical Analysis and Applications 434 (2016), 1106-1122.
- M. Argerami, D. Farenick, C*-envelopes of Jordan operator systems, Operators and Matrices 9 (2015), 325-341.
- D. Farenick, A. Kavruk, V.I. Paulsen, I.G. Todorov, Operator systems from discrete groups, Communications in Mathematical Physics 329 (2014), 207-238.
- M. Argerami, D. Farenick, The C*-envelope of an irreducible periodic weighted unilateral shift, Integral Equations and Operator Theory 77 (2013), 199-210.
- A. Bhattacharya, D. Farenick, Crossed product C*-algebras with the weak expectation property, New York Journal of Mathematics 19 (2013), 423-430.
- D. Farenick, R. Floricel, S. Plosker, Approximately clean quantum probability measures, Journal of Mathematical Physics 54 (2013), 052201 (16pp).
- D. Farenick, A. Kavruk, V.I. Paulsen, C*-algebras with the weak expectation property and a multivariable analogue of Ando's theorem on the numerical radius, Journal of Operator Theory 70 (2013), 573-590.
- M. Argerami, D. Farenick, P. Massey, Second-order local multiplier algebras of continuous trace C*-algebras, Journal of Mathematical Analysis and Applications 397 (2013), 822-836.
- D. Farenick, V.I. Pauslen, Operator system quotients of matrix algebras and their tensor products, Mathematica Scandinavica 111 (2012),210-243.
- D. Farenick, M.J. Kozdron, Conditional expectation and Bayes' rule for quantum random variables and positive operator valued measures, Journal of Mathematical Physics 53 (2012), 042201 (17 pp).
- M. Argerami, D. Farenick, P. Massey, Injective envelopes and local multiplier algebras of some spatial continuous trace C*-algebras, Quarterly Journal of Mathematics (Oxford) 63 (2012), 1-20.

Books

- D. Farenick, Fundamentals of Functional Analysis, Springer, New York, 2016.
- D. Farenick, Algebras of Linear Transformations, Springer, New York, 2001.

Supervision of Undergraduate and Graduate Students, and Postdoctoral Researchers, 2012-2022

Graduate Students

- Oluwatobi Ruth Ojo, MSc 2021 (co-supervision with Sarah Plosker). Universality of Weyl unitaries.
- Julius Adili Masanika, MSc 2020 (co-supervision with Sarah Plosker). Complete order equivalence of spin unitaries.
- Ryan Tessier, PhD 2020. Pure completely positive linear maps of operator systems.
- Mizanur Rahaman, PhD 2017. Quantum fidelity and the Bures metric in operator algebras.
- Bo Cui, MSc 2016. The Hahn-Banach separation theorem in free convexity.
- Angshuman Bhattacharya, PhD 2014. Weak expectation properties of C*-algebras and operator systems.
- Sadia Mwangangi, MSc 2012, co-supervision with M. Argerami. Operator systems on finite-dimensional Hilbert spaces.

- Michelle McBurney. Separable Toeplitz matrices. 2022
- Madeleine Young (University of Waterloo). Positve matrix-valued trigonometric polynomials. 2018
- Sam Jaques. Spectra of quantum channels. 2015 and 2017
- Charlayna McGill. Discrete subgroups of matrix groups. Entanglement criteria. 2014 and 2015
- Adam Gorr. Structure of factorisable quantum channels and their complementary channels. 2014
- Natalia Filomeno. Mathematics of quantum information. Positive operator valued measures. 2012 and 2013

Postdoctoral Researchers

- Samir Raouafi (PhD 2014, Université Laval). 2015-2016
- Shawn McCann (PhD 2011, University of Calgary). 2012-2014

- Member of the Board of Management, TRIUMF. 2018-2024.
- Member of the Board of Directors, PIMS. 2016-2022.
- Vice President (West), Canadian Mathematical Society. 2017-2019
- Member, Women in Mathematics Committee, Canadian Mathematical Society. 2017-2019
- Chair, Finance Committee, Canadian Mathematical Society. 2013-2015
- Co-Editor in Chief, Operators and Matrices. 2015-2020.
- President, Canadian Council of Deans of Science. 2019-2022

Department of Mathematics and Statistics Faculty of Science Last updated on 26 July 2022 |