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

Recent Publications

- 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.

Selected Non-recent Publications

- 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. Rahman, Bures contractive channels on operator algebras, New York Journal of Mathematics 23 (2017), 1369-1393.
- D. Farenick, V.I. Pauslen, Operator system quotients of matrix algebras and their tensor products, Mathematica Scandinavica 111 (2012), 210-243.
- D. Farenick, S. Plosker, J. Smith, Classical and nonclassical randomness in quantum measurements, Journal of Mathematical Physics 52 (2011), 122204 (26 pp).
- M. Argerami, D. Farenick, P. Massey, The gap between local multiplier algebras of C*-algebras, Quarterly Journal of Mathematics (Oxford) 60 (2009), 273-281.
- D. Farenick, C. Ramsey, Unitary groups of nondegenerate Hermitian forms and the homotopy groups of pseudospheres, Journal of Pure and Applied Algebra 212 (2008), 2358-2367.
- M. Argerami, D. Farenick, Young's inequality in trace-class operators, Mathematische Annalen 325 (2003), 727-744.
- D. Farenick, Extremal matrix states on operator systems, Journal of the London Mathematical Society 61 (2000), 885-892.
- D. Farenick, H. Zhou, The structure of C*-extreme points in spaces of completely positive liner maps on C*-algebras, Proceedings of the American Mathematical Society 126 (1998), 1467-1477.
- D. Farenick, W.Y. Lee, Hyponormality and spectra of Toeplitz operators, Transactions of the American Mathematical Society 348 (1996), 4153-4174.
- D. Farenick, C*-convexity and matricial ranges, Canadian Journal of Mathematics 44 (1992), 280-297.

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, 2017-2022

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.

- Michelle McBurney. Separable Toeplitz matrices. 2022
- Madeleine Young. Positve matrix-valued trigonometric polynomials. 2018
- Sam Jaques. Spectra of quantum channels. 2015 and 2017

Selected Professional Service, 2017-2022

- 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
- 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 16 August 2022 |