Contact Information
Massachusetts Institute of Technology
Department of Mathematics
Cambridge, MA

Office: 2-332
Office hours: Th 12-2

E-mail: curransr at math dot mit dot edu
Phone: 617.253.6770

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.

I am currently a Lecturer at MIT. My research is supported by an NSF Postdoctoral Fellowship and DARPA grant HR0011-12-1-0009.

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

Publications and Preprints
  1. On the planar algebra of Ocneanu's asymptotic inclusion
    Int. J. Math., 23 (2012) [43 pages].
  2. A maximality result for orthogonal quantum groups (with T. Banica, J. Bichon and B. Collins)
    Comm. Algebra, 41 (2013), 656-665.
  3. On the symmetric enveloping algebra of planar algebra subfactors (with V. Jones and D. Shlyakhtenko)
    Trans. Amer. Math. Soc, to appear.
  4. Quantum invariant families of matrices in free probability (with R. Speicher)
    J. Funct. Anal., 261 (2011), 897-933.
  5. Decomposition results for Gram matrix determinants (with T. Banica)
    J. Math. Phys., 51 (2010), 1-14.
  6. A characterization of freeness by invariance under quantum spreading
    J. Reine Angew. Math. (Crelle's Journal), 659 (2011), 43-65.
  7. Quantum automorphisms of twisted group algebras and free hypergeometric laws (with T. Banica and J. Bichon)
    Proc. Amer. Math. Soc., 139 (2011), 3961-3971.
  8. Asymptotic infinitesimal freeness with amalgamation for Haar quantum unitary random matrices (with R. Speicher)
    Comm. Math. Phys., 301 (2011), 627-659.
  9. Stochastic aspects of easy quantum groups (with T. Banica and R. Speicher)
    Probab. Theory Related Fields, 149 (2011), 435-462.
  10. De Finetti theorems for easy quantum groups (with T. Banica and R. Speicher)
    Ann. Probab., 40 (2012), 401-435.
  11. Classification results for easy quantum groups (with T. Banica and R. Speicher)
    Pacific J. Math., 247 (2010), 1-26.
  12. Quantum rotatability
    Trans. Amer. Math. Soc., 362 (2010), 4831-4851.
  13. Quantum exchangeable sequences of algebras
    Indiana Univ. Math. J. 58 (2009), 1097-1126.
  14. Analytic subordination results in free probability from non-coassociative derivation-comultiplications
  15. Analytic subordination for free compression

Past Teaching
Here are my student evaluations.