Imre Tuba's homepage

Imre Tuba
Assistant Professor of Mathematics
San Diego State University, Imperial Valley Campus
720 Heber Ave
Calexico, CA 92231
E-mail: ituba (e-mail accounts at SDSU are at mail.sdsu.edu)
Tel: (760) 768-5606
Office: East Faculty 106
 My picture

Furlough days: Due to the dramatic cuts to the CSU budget by the state of California–the same cuts that have resulted in a 32% increase to student fees–every CSU faculty is required to take 9 unpaid days off per semester. My furlough days this semester are
My classes will not meet, and I will not be available for office hours, phone or email consultation on these days.


Teaching

Here is degree information for math majors from Dr. Brock, who is undergraduate advisor at the Mathematics Department in San Diego. See Dr. Verzi for advising if your major is mathematics in preparation a Single Subject Teaching Credential in math or me if your major is mathematics.

Current classes:

Here are my web pages for some classes I taught in the past:


Research

My interests lie in algebra and things algebraic in nature. I wrote my Ph.D. thesis under the guidance of Hans Wenzl on low-dimensional simple and unitarizable representations of the braid group B3.  Wenzl and I have since used braid representations to characterize all braided semisimple tensor categories of type BCD.

Here is my mathematical genealogy graph generated by the Mathematics Genealogy Project and the Mathematics Genealogy Grapher. My Erdős number is 4.

I supervised an REU project on bioinformatics at SDSU summer 2009.


Papers, preprints and my CV

  1. Braid Representations and Tensor Categories. Ph.D. thesis, Sep 2000, 49 pages.
  2. (with H. Wenzl), Representations of the braid group B3 and of SL(2,Z).  Pacific J. Math., 197, (2001), 491-510.
  3. Low-dimensional unitary representations of B3.  Proc. Amer. Math. Soc., 129, (2001), 2597-2606.
  4. (with H. Wenzl), On braided tensor categories of type BCD.  J. Reine Angew. Math., 581, (2005), 31-69.
  5. (with E. Rowell), Finite Linear Quotients of B3 of Low Dimension. To appear J. Knot Theory Ramifications. Preprint posted at arXiv:0806.0168v1.
  6. (with N. Apkarian, B. Bailey, M. Creek, E.A. Dinsdale, R.A. Edwards, E. Guan, M. Hernandez, K. Isaacs, C. Peterson, T. Regh) A large-scale statistical survey of
    environmental metagenomes. In preparation.
  7. Curriculum Vitae

STRIVE


I am the director of the Supporting Teacher Retention for Imperial Valley Educators project. The project's goal is to increase the retention of beginner mathematics teachers in their jobs by providing training in math content and pedagogy/teaching strategies so they are better equipped to meet the the challenges of their chosen profession. At the core of the program is a 40-hour intensive summer institute followed by 60 hours of activities throughout the academic year. The project is funded by a subgrant from the STIR (Supporting Teachers to Increase Retention) grant of the California Mathematics Project and runs 2007-2011. In the summer of 2009, STRIVE sponsored its own summer academy for 7-8th grade algebra students in the Calexico Unified School District. Here is our STRIVE website from the summer of 2009.

Personal interests