Contact Information
Department of Mathematics
UCLA
Los Angeles, CA 90095

Office: MS 7901
Office hours: Wednesday 11-1, 3-4

E-mail: curransr at math dot ucla dot edu
Phone: (310) 825-2143
Fax: (310) 206-6673

Teaching
Math 31B students please click here.

About Me
I received my Ph.D. from UC Berkeley in May 2010, under the supervision of Dan-Virgil Voiculescu. My thesis received the Herbert Alexander Prize for an Outstanding Dissertation in Pure Mathematics.

My research interests include free probability, random matrices, quantum groups and subfactors. Here is my CV.

Publications and Preprints
  1. Analytic subordination for free compression
  2. Analytic subordination results in free probability from non-coassociative derivation-comultiplications
  3. Quantum exchangeable sequences of algebras
    Indiana Univ. Math. J. 58 (2009), 1097-1126.
  4. Quantum rotatability
    Trans. Amer. Math. Soc., 362 (2010), 4831-4851.
  5. Classification results for easy quantum groups (with T. Banica and R. Speicher)
    Pacific J. Math., 247 (2010), 1-26.
  6. De Finetti theorems for easy quantum groups (with T. Banica and R. Speicher)
    Ann. Probab., 40 (2012), 401-435.
  7. Stochastic aspects of easy quantum groups (with T. Banica and R. Speicher)
    Probab. Theory Related Fields, 149 (2011), 435-462.
  8. Asymptotic infinitesimal freeness with amalgamation for Haar quantum unitary random matrices (with R. Speicher)
    Comm. Math. Phys., 301 (2011), 627-659.
  9. Quantum automorphisms of twisted group algebras and free hypergeometric laws (with T. Banica and J. Bichon)
    Proc. Amer. Math. Soc., 139 (2011), 3961-3971.
  10. A characterization of freeness by invariance under quantum spreading
    J. Reine Angew. Math. (Crelle's Journal), 659 (2011), 43-65.
  11. Decomposition results for Gram matrix determinants (with T. Banica)
    J. Math. Phys., 51 (2010), 1-14.
  12. Quantum invariant families of matrices in free probability (with R. Speicher)
    J. Funct. Anal. 261 (2011), 897-933.
  13. On the symmetric enveloping algebra of planar algebra subfactors (with V. Jones and D. Shlyakhtenko)
  14. A maximality result for orthogonal quantum groups (with T. Banica, J. Bichon and B. Collins)
    Comm. Algebra, to appear.
  15. On the planar algebra of Ocneanu's asymptotic inclusion

Past Teaching