Raphaël Clouâtre's homepage                                          

                          

I am an associate professor in the mathematics department at the University of Manitoba.

Contact information

Office: 465 Machray Hall
Email: raphael.clouatre at umanitoba dot ca

Teaching

All course websites can be found on UM Learn.
               

Postdoctoral fellows

Poornendu Kumar

Graduate students

Hridoyananda Saikia (PhD)
Alex Stephens (PhD)




Research interests

Operator theory and operator algebras

Publications

41.(with Ian Thompson) Rigidity of operator systems: tight extensions and noncommutative measurable structures. arXiv preprint

40.(with David P. Blecher) Null projections and noncommutative function theory in operator algebras. arXiv preprint

39.(with Hridoyananda Saikia) A boundary projection for the dilation order. arXiv preprint

38. Restrictions of pure states to subspaces of C*-algebras. arXiv preprint

37.(with Brock Klippenstein and Richard Mikaël Slevinsky) Lifting Sylvester equations: singular value decay for non-normal coefficients.
accepted for publication in Integral Equations and Operator Theory, arXiv preprint

36. (with Michael Hartz) Lebesgue decompositions and the Gleason--Whitney property for operator algebras.
accepted for publication in Indiana University Mathematics Journal, arXiv preprint

35. (with Adam Dor-On)  Finite-dimensional approximations and semigroup coactions for operator algebras.
Int. Math. Res. Not. IMRN(2023), no. 24, 22138–22184, arXiv preprint

34. (with Maeva Ostermann and Thomas Ransford) An abstract approach to the Crouzeix conjecture.
J. Operator Theory 90 (2023), no. 1, 209–221,  arXiv preprint

33. (with Ian Thompson) Minimal boundaries for operator algebras.
Trans. Amer. Math. Soc. Ser. B 10 (2023), 807--832, arXiv preprint

32. (with Edward J. Timko) Localizable points in the support of a multiplier ideal and spectra of constrained operators.
Adv. Math. 425 (2023), Paper No. 109085, 44 pp., arXiv preprint

31. (with Edward J. Timko) Non-commutative measure theory: Henkin and analytic functionals on C*-algebras.
Math. Ann. 386 (2023), no. 1-2, 415–453., arXiv preprint

30. (with Robert T. W. Martin and Edward J. Timko) Analytic functionals for the non-commutative disc algebra.
J. Funct. Anal. 282 (2022) no. 3, arXiv preprint

29. (with Ian Thompson) Finite-dimensionality in the non-commutative Choquet boundary: peaking phenomena and  C*-liminality.
Int. Math. Res. Not. IMRN 2022 no. 20, 16046--16093, arXiv preprint

 28. (with Michael Hartz) Multipliers and operator space structure of weak product spaces.
Anal. PDE 14 (2021) no. 6, 1905--1924, arXiv preprint

27. (with Edward J. Timko) Gelfand transforms and boundary representations of complete Nevanlinna--Pick quotients. 
Trans. Amer. Math. Soc. 374 (2021), no. 3, 2107--2147, arXiv preprint
26. (with Edward J. Timko) Row contractions annihilated by interpolating vanishing ideals.
Int. Mat. Res. Not. IMRN (2020), no. 20, 6597--6665, arXiv preprint

25. (with Michael Hartz and Dominik Schillo) A Beurling-Lax-Halmos theorem for spaces with a complete Nevanlinna-Pick factor.
 Proc. Amer. Math. Soc 148 (2020), no. 2, 731--740, arXiv preprint

24. (with Christopher Ramsey) A completely bounded non-commutative Choquet boundary for operator spaces.
Int. Math. Res. Not. IMRN (2019), no. 22, 6819--6886, arXiv preprint

23. (with Christopher Ramsey) Residually finite-dimensional operator algebras.
J. Funct. Anal. 277 (2019), no. 8, 2572--2616, arXiv preprint

22. (with Edward J. Timko) Cyclic row contractions and rigidity of invariant subspaces.
J. Math. Anal. Appl. 479 (2019), no. 2, 1906--1938, arXiv preprint

21. (with Laurent Marcoux) Residual finite dimensionality and representations of amenable operator algebras.
J. Math. Anal. Appl. 472 (2019), no. 2, 1346--1368, arXiv preprint

20. (with Diarra Mbacke) Joint similarity for commuting families of power bounded matrices.
Linear Algebra Appl. 560 (2019), 1--16, arXiv preprint

19. (with Laurent Marcoux) Compact ideals and rigidity of representations for amenable operator algebras.
Studia Math. 244 (2019), no. 1, 25--41, arXiv preprint

18.  Non-commutative peaking phenomena and a local version of the hyperrigidity conjecture.
Proc. Lond. Math. Soc. (3) 117 (2018), no. 2, 221--245, arXiv preprint

17.  Unperforated pairs of operator spaces and hyperrigidity of operator systems.
Canad. J. Math. 70 (2018), no. 6, 1236--1260, arXiv preprint

16. (with Michael Hartz) Multiplier algebras of complete Nevanlinna-Pick spaces: dilations, boundary representations and hyperrigidity.
J. Funct. Anal. 274 (2018), no. 6, 1690--1738, arXiv preprint

15. (with Ken Davidson) Ideals in a multiplier algebra on the ball. 
Trans. Amer. Math. Soc. 370 (2018), no. 3, 1509--1527, arXiv preprint

14. (with Ken Davidson) Absolute continuity for commuting row contractions. 
J. Funct. Anal. 271 (2016), no. 3, 620--641, arXiv preprint

13. (with Ken Davidson) Duality, convexity and peak interpolation in the Drury-Arveson space.
Adv. Math. 295 (2016), 90--149, arXiv preprint

12. (with Ken Davidson) The unit ball of the predual of H^infinity(B_d) has no extreme points. 
Proc. Amer. Math. Soc. 144 (2016), no. 4, 1575--1580, arXiv preprint

11. Completely bounded isomorphisms of operator algebras and similarity to complete isometries.
Indiana Univ. Math. J. 64 (2015), no. 3, 825--846, arXiv preprint

10. Unitary equivalence and similarity to Jordan models for weak contractions of class C_0.
Canad. J. Math. 67 (2015), no. 1, 132--151, arXiv preprint

9. Spectral and homological properties of Hilbert modules over the disc algebra.
Studia Math. 222 (2014), no. 3, 262--282, arXiv preprint

8. Similarity results for operators of class C_0 and the algebra H^infinity(T).
Oper. Matrices 8 (2014), no. 2, 425--447, arXiv preprint

7. Quasiaffine orbits of invariant subspaces for uniform Jordan operators. 
J. Funct. Anal. 266 (2014), no. 7, 4101--4114, arXiv preprint

6. On the Unilateral Shift as a Hilbert Module over the Disc Algebra. 
Complex Anal. Oper. Theory 8 (2014), no. 1, 283--309, arXiv preprint

5. Quasisimilarity of invariant subspaces for C_0 operators with multiplicity two.
J. Operator Theory 70 (2013), no. 2, 495--511, arXiv preprint

4. Similarity results for operators of class C_0.
Integral Equations Operator Theory 71 (2011), no. 4, 557--573, arXiv preprint

3. Universal power series in C^N.
Canad. Math. Bull. 54 (2011). no. 2, 230--236.

2. Universal series on a Riemann surface.
Canad. J. Math. 63 (2011), no. 5, 1025--1037.

1. (with Paul M. Gauthier) Approximation by translates of Taylor polynomials of the Riemann zeta function.
Comput. Methods Funct. Theory 8 (2008), no. 1-2, 15--19.