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Ali S. Kavruk

Website: people.vcu.edu/~askavruk

EDUCATION
Ph. D., Mathematics, University of Houston (Vern I. Paulsen, advisor)

M. A., Mathematics, Bilkent University, Ankara, Turkey (Aurelian Gheondea, advisor)

B. S., Mathematics, Bilkent University, Ankara, Turkey

VISITING POSITIONS

University of Illinois Urbana-Champaign, JL Doob Research Asst. Prof.

University of Houston, Post-doctoral research fellow.

RESEARCH

Operator Algebras, Operator systems, C*-algebras, tensor products in operator algebras and nuclearity related properties.

Application concern Quantum Information Theory, non-commutative probability, order and positivity theory.

SELECTED PUBLICATIONS

  1. On a non-commutative analogue of a classical result of Namioka and Phelps (To appear in J. of Functional Analysis)
  2. Characterizations of the Weak Expectation Property (with D. Farenick, V.I. Paulsen and I.G. Todorov) New York J. of Math., to appear.
  3. Operator systems from discrete groups (with D. Farenick, V.I. Paulsen and I.G. Todorov), Comm. in Math. Physics: Vol. 329, Issue 1 (2014), Page 207-238
  4. The Weak Expectation Property and Riesz Interpolations (Submitted, preprint is available at arXiv:1201.5414)
  5. Nuclearity Related Properties in Operator Systems J. of Operator Theory Volume 71, Issue 1, Winter 2014 pp. 95-156
  6. C*-algebras with the weak expectation property and a multivariable analogue of Ando’s theorem on the numerical radius (with D. Farenick and Vern I. Paulsen), J. of Op. Theory, Vol. 70, Issue 2, Autumn 2013
  7. Quotients, exactness and nuclearity in the operator system category (with V.I. Paulsen, I.G. Todorov and M. Tomforde) Adv. in Math. Vol. 235, 1 March 2013, Pages 321–360
  8. Tensor products of operator systems (with V.I. Paulsen, I.G. Todorov and M. Tomforde) J. of Functional Analysis Vol. 261, Issue 2, (2011), 267-299

PROFESSIONAL AFFILIATIONS 

American Mathematical Society

HONORS & AWARDS
My research has been supported by the National Science Foundation.
I am a J. L. Doob Research Scholar.

Curriculum Vitae