Rupert Levene
Lecturer
School of Mathematics & Statistics
S3.06, Science Centre South
Belfield
Dublin 4
Tel: +353 1 716 2558
Email: rupert.levene@ucd.ie
Biography
My research interests are in operator algebras, operator spaces and quantum information theory.
Select "Research" and "Publications" for more information.
Personal home page
Professional
Associations
Association: Irish Mathematical Society, Function/Role: Committee member 
Association: Irish Mathematical Society, Function/Role: Member 
Association: London Mathematical Society, Function/Role: Member 
Association: European Mathematical Society, Function/Role: Member 
Conference Contributions
Rupert Levene (2017) Complexity and capacity of quantum channels. [Invited Lecture], Queen's University Belfast Mathematics Colloquium, Belfast, UK , 27OCT17  27OCT17. 
Levene, RH; Paulsen, VI; Todorov IG (2017) Operator system versions of graph parameters via quantum channels. [Invited Lecture], Workshop on Operator Systems in Quantum Information, University of Guelph, Canada , 14AUG17  17AUG17. 
Kribs DW; Levene, RH; Power SC (2017) Weighted shift directed graph operator algebras. [Invited Lecture], Queen's University Belfast Pure Mathematics Colloquium, Belfast , 03MAR17  03MAR17. 
Crann, JC; Kribs DW; Levene RH; Todorov IG (2016) An inﬁnitedimensional approach to privacy and complementarity. [Invited Lecture], Workshop on Representation Theory in Quantum Information, University of Guelph, Canada , 22AUG16  25AUG16. 
Kribs DW; Levene, RH; Power SC (2016) Weighted shift directed graph operator algebras. [Invited Lecture], University of Glasgow Analysis Seminar, Glasgow, UK , 01NOV16  01NOV16. 
Kribs DW; Levene, RH; Power SC (2016) Weighted shift directed graph operator algebras. [Invited Lecture], University of Newcastle Analysis Seminar, Newcastle, UK , 06DEC16  06DEC16. 
Eleftherakis, GK; Levene, RH; Todorov IG (2015) The Boolean lattice of Schur idempotents. [Invited Lecture], Annual meeting of the Irish Mathematical Society, University College Cork , 27AUG15  28AUG15. 
Eleftherakis, GK; Levene, RH; Todorov IG (2015) The Boolean lattice of Schur idempotents. [Invited Lecture], Inﬁnite Dimensional Function Theory: Present Progress and Future Problems, UCD , 08JAN15  09JAN15. 
Eleftherakis, GK; Levene, RH; Todorov IG (2015) Schur idempotents and hyperreﬂexivity. [Oral Presentation], Banach Algebras and their Applications, Fields Institute, Toronto , 04AUG15  12AUG15. 
Education
Year 2000 Institution: University of Cambridge Qualification: BA Subject: BA Hons, Mathematics, Pure and Applied 
Year 2004 Institution: Lancaster University. UK Qualification: PhD Subject: PhD in Pure Mathematics 
Year 2001 Institution: University of Cambridge Qualification: Other Subject: Certificate of Advanced Study in Mathematics (Part III) 
Publications
Peer Reviewed Journals
Levene, RH; Lin; YF; Todorov, IG (2017) 'Positive extensions of Schur multipliers'. Journal of Operator Theory, 78 (1):4569. [DOI] [Details] 
Kribs, DW; Levene, RH; Power, SC (2017) 'Commutants of weighted shift directed graph operator algebras'. Proceedings of the American Mathematical Society, 145 :34653480. [DOI] [Details] 
Levene, RH; Spronk, N; Todorov, IG; Turowska, L (2016) 'Schur multipliers of Cartan pairs'. Proceedings of the Edinburgh Mathematical Society, :128. [DOI] [Details] 
Eleftherakis, GK; Levene, RH; Todorov, IG (2016) 'Schur idempotents and hyperreflexivity'. Israel Journal of Mathematics, 215 :317337. [DOI] [Details] 
Levene, RH; Piszczek, K (2016) 'Grothendieck's inequality in the noncommutative Schwartz space'. Studia Mathematica, 234 (2):185194. [DOI] [Details] 
Timoney, RM; Levene, RH (2016) 'Corrigendum to Completely bounded norms of right module maps'. Linear Algebra and Its Applications, 505 :387389. [DOI] [Details] 
Crann, J; Kribs, DW; Levene, RH; Todorov, IG (2016) 'Private algebras in quantum information and infinitedimensional complementarity'. Journal of Mathematical Physics, 57 (1). [DOI] [Details] 
Rupert H. Levene (2014) 'Norms of idempotent Schur multipliers'. New York Journal of Mathematics, 20 :325352. Link to full text [Details] 
Levene, RH; Timoney, RM (2012) 'Completely bounded norms of right module maps'. Linear Algebra and Its Applications, 436 (5):14061424. [DOI] [Details] 
Levene, RH; Power, SC (2009) 'Manifolds of Hilbert space projections'. Proceedings of the London Mathematical Society, 100 (2):485509. [DOI] [Details] 
Juschenko, K; Levene, RH; Todorov, IG; Turowska, L (2009) 'Compactness properties of operator multipliers'. Journal of Functional Analysis, 256 (11):37723805. [DOI] [Details] 
Davidson, KR; Levene, RH; Marcoux LW; Radjavi H (2008) 'Erratum: On the topological stable rank of nonselfadjoint operator algebras'''. Mathematische Annalen, 341 (4):963964. [DOI] [Details] 
Davidson, KR; Levene, RH; Marcoux LW; Radjavi H (2008) 'On the topological stable rank of nonselfadjoint operator algebras'. Mathematische Annalen, 341 (2):239253. [DOI] [Details] 
Davdison, KR; Levene, RH (2006) '1hyperreflexivity and complete hyperreflexivity'. Journal of Functional Analysis, 235 (2):666701. [DOI] [Details] 
Levene, RH (2006) 'A double triangle operator algebra from SL2(R+)'. Canadian Mathematics Bulletin, 49 (1):117126. [Details] 
Levene, RH; Power, SC (2003) 'Reflexivity of the translationdilation algebra on L2(R)'. International Journal of Mathematics, 14 (10):10811090. [Details] 
Electronic Publication
Levene, RH; Paulsen, VI; Todorov, IG (2017) Complexity and capacity bounds for quantum channels. Electronic Publication [Details] 
Kitson, D; Levene, RH (2017) Graph rigidity for unitarily invariant matrix norms. Electronic Publication [Details] 
Research
Research Interests
My research involves the study of operator algebras, operator spaces and quantum information theory. In particular, I am interested in:
