Curriculum Vitae

Email: raphael.clouatre

In the Winter 2020 term, I will be teaching Multivariable Calculus (Math 2150) and Basic Functional Analysis (Math 4280/7280).

All course websites can be found on UM Learn.

Graduate students interested in working with me on any of these topics are welcome to send me an email.

submitted for publication, arXiv preprint

28. (with Edward J. Timko) Localizable points in the support of a multiplier ideal and spectra of constrained operators.

submitted for publication, arXiv preprint

27. (with Michael Hartz) Multipliers and operator space structure of weak product spaces.

accepted for publication in Analysis and PDE, arXiv preprint

26. (with Edward J. Timko) Row contractions annihilated by interpolating vanishing ideals.

accepted for publication in International Mathematics Research Notices IMRN, arXiv preprint

25. (with Michael Hartz and Dominik Schillo) A Beurling-Lax-Halmos theorem for spaces with a complete Nevanlinna-Pick factor.

accepted for publication in Proceedings of the American Mathematical Society, 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.