Aviv Censor's Homepage


I'm a Visiting Assistant Professor in the Department of Mathematics at the University of California, Riverside.
I received my Ph.D. in June 2007 from the Department of Mathematics at the Technion - Israel Institute of Technology. My advisors were Eli Aljadeff and Baruch Solel.
This is my CV.
This is my Mathematical Ancestry.

CV Research Teaching Contact Groupoidfest 2008 Groupoids Seminar

Research:

Operator Algebras:

My main research area is C*-algebras, which is a subfield of Functional Analysis. In the past few years I have been focusing on groupoids and their C*-algebras. In my Ph.D. work, Titled "Taking groupoid C*-algebras to the limit", I studied groupoids for open covers, their C*-algebras and limits. This research, which is in part joint work with Daniel Markiewicz, is part of a more ambitious project I hope to pursue: Study the Brauer theory of continuous trace C*-algebras, via carrying out classical results and phenomena from the well developed Brauer theory for fields.
In recent work in progress, I started exploring various connections between groupoid C*-algebras and fractal geometry, in collaboration with Michel Lapidus at UCR. Simultaneously, I have been working lately with a group led by John Baez at UCR, on a project titled "groupoidification". I have also been looking into certain roles of groupoids in von-Neumann algebra theory.
Previously, in my M.Sc. thesis, I investigated Lie ideals in nest subalgebras of von-Neumann algebras.

Mathematical Physics:

I have been working together with Guy Tsabary as a side interest, on developing an idea for 3 time dimensions in Special Relativity. This idea evolved into An Alternative Mathematical Model for Special Relativity , published in Il Nuovo Cimento B (see below).

Publications:

  • A note about a certain Groupoid C*-algebra Map, with Daniel Markiewicz, in preparation.
  • Limits of Groupoid C*-algebras arising from Open Covers, with Daniel Markiewicz, Houston Journal of Mathematics, Volume 35 (2009), no. 2, pp. 591-618.
  • Taking Groupoid C*-algebras to the Limit, Ph.D. thesis, English, Department of Mathematics, Technion - Israel Institute of Technology, Haifa, Israel, June 2007.
  • An Alternative Mathematical Model for Special Relativity, with Guy Tsabary, Il Nuovo Cimento B, Volume 120 (2005), Issue 2, pp. 179-196.
  • Lie Ideals in Nest Subalgebras of von-Meumann algebras, M.Sc. thesis, English, Department of Mathematics, Technion - Israel Institute of Technology, Haifa, Israel, March 2001.

    Participation in International Conferences:

    GPOTS 2009 (Great Plains Operator Theory Symposium) at the University of Colorado, Boulder, June 2 - 6, 2009.
    Von-Neumann Algebras and Ergodic Theory at UCLA, March 15-18, 2009.
    Groupoidfest 2008 at the University of California, Riverside, November 22 - 23, 2008.
    AMS Western Section Meeting - Special Session on C*-algebras, Subfactors and Free Probability at Claremont McKenna College, May 3 - 4, 2008.
    Topics in Von Neumann Algebras at the Banff International Research Station (BIRS), March 23 - 28, 2008.
    West Coast Operator Algebra Seminar (WCOAS) at the California State University, Long Beach, February 2 - 3, 2008.
    C*-Algebras Associated to Discrete and Dynamical Systems at the Banff International Research Station (BIRS), January 27 - February 1, 2008.
    Barcelona Conference on C*-Algebras and their Invariants at the Universitat Autonoma de Barcelona, June 11 - 15, 2007.
    35'th Canadian Operator Symposium (COSy) at the University of Guelph, June 5 - 9, 2007.
    Groupoids in Operator Algebras and Noncommutative Geometry at the Institut Henri Poincare, Paris, February 26 - March 2, 2007.
    GPOTS 2004 (Great Plains Operator Theory Symposium) at Texas A&M University, May 26 - May 30, 2004.
    CBMS Conference on Graph C*-Algebras at the University of Iowa, May 31- June 4, 2004.

    Conference Organization:

  • Special session on Operator Algebras (with Marta Asaeda and Adrian Ioana), Fall 2009 Western section meeting of the AMS, University of California, Riverside, November 7-8, 2009.
  • Groupoidfest 2008, held at the University of California, Riverside, November 22-23, 2008. Further details including participants, talks and abstracts can be found on the Groupoidfest 2008 homepage.

    UCR Operator Algebras Seminar:

    The UCR Operator Algebras and related topics seminar meets on Wednesdays at 11:10 - 12:00 in room 277, Surge building.

    UCR Groupoids Seminar:

    The UCR Groupoids Seminar meets every Thursday at 9:40 - 11:00 am, in Surge 277.

    Teaching:

    Spring quarter 2009:

    Math 260 - Groupoids Seminar, Thursday 9:40-11:00 am, Surge 277
    Math 9B - First Year Calculus, part II (Integrals). All course materials, including assignments, announcements and grades, can be found on iLearn.
    Math 144 - Introduction to Set Theory. All course materials, including assignments, announcements and grades, can be found on iLearn.

    Office Hours: MWF 10:10-11:00 am, 232 Surge Building.

    Past:

    Here are more details about my past teaching experience.
    As a PhD student I was lecturing and prior to that a TA at the Technion, teaching a variety of courses.
    My tutorials in 2 courses were recorded for the Technion video library.

    Personal:

    I am married to Efrat, and father of Ofek, Noga, and Almog.

    Contact:

  • Address : Department of Mathematics, University of California, Riverside CA, 92521, USA
  • Office : 232 Surge Building.
  • Phone : 1-951-827-7383
  • E-mail : avivc@math.ucr.edu