Imre Tuba's homepage

Imre Tuba
Assistant Professor of Mathematics
San Diego State University, Imperial Valley
720 Heber Ave
Calexico, CA 92231
E-mail: ituba (e-mail accounts at SDSU are at
Tel: (760) 768-5606
Office: East Faculty 101
My picture


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

Current classes: I am not currently teaching.

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


My original research interests are in algebra, in particular braid groups and tensor categories. I wrote my Ph.D. thesis under the guidance of Hans Wenzl on low-dimensional simple and unitarizable representations of the braid group B3. I am also interested in bioinformatics, and as of lately, mathematics education.

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 in bioinformatics at SDSU summer 2009.

Papers, preprints and my CV

  1. Curriculum Vitae (last updated Feb 2014)
  2. I. Tuba. Braid Representations and Tensor Categories. Ph.D. thesis, Sep 2000, 49 pages.
  3. I. Tuba, H. Wenzl. Representations of the braid group B3 and of SL(2,Z).  Pacific J. Math., 197, (2001), 491-510.
  4. I. Tuba. Low-dimensional unitary representations of B3 Proc. Amer. Math. Soc., 129, (2001), 2597-2606.
  5. I. Tuba, H. Wenzl. On braided tensor categories of type BCD J. Reine Angew. Math., 581, (2005), 31-69.
  6. E. Rowell, I. Tuba. Finite Linear Quotients of B3 of Low Dimension. J. Knot Theory Ramifications, 19, (2010), no. 5, 587-600.
  7. K. Brown, A. Faughn, N. Kent, and I. Tuba. Supporting beginning mathematics teachers with technology-based professional development. Presented at the 2011 Conference of the American Educational Research Association. 24 pages.
  8. A. Faughn, T. Felter, N. Kent, B. Pence, C. D. Thomas, and I. Tuba. Supporting mathematics teachers to increase retention. Proceedings of the 33rd Annual Conference of the North American Chapter of the International Group for the Psychology of Mathematics Education, (2011), 2036-2045.
  9. J. Burt, I. Tuba. A Multifaceted Approach to Professional Development in Imperial County, California. 12th International Congress on Mathematical Education, July 8-15, 2012, Seoul, Korea. To appear Proceedings of the 12th International Congress on Mathematical Education. 10 pages.
  10. J. Burt, I. Tuba, V. Velazquez-Victorica. Retaining Beginner Math Teachers by Empowering Them with Leadership Projects. In Monograph: Mathematics Teacher Retention, pages 158-165. California Mathematics Project. (2012). Los Angeles, CA.
  11. A. Faughn, B. Pence, J. Canzone, I. Tuba. Mathematics Teacher Retention Working Group Summary: Raising awareness to better support mathematics teachers and to increase retention. In Monograph: Mathematics Teacher Retention, pages 43-50. California Mathematics Project. (2012). Los Angeles, CA.
  12. E.A. Dinsdale, R.A. Edwards, B. Bailey, I. Tuba, S. Akhter, K. McNair, R. Schmieder, N. Apkarian, M. Creek, E. Guan, M. Hernandez, K. Isaacs, C. Peterson, T. Regh, V. Ponomarenko. Multivariate analysis of functional metagenomes. Frontiers in Genetics. 4:41. (2013). doi: 10.3389/fgene.2013.00041
  13. G. Ponce, I. Tuba. Synthesizing Strategies Creatively: Solving Linear Equations. (2013). To appear Mathematics Teacher. 8 pages.

Professional development for Imperial Valley math teachers

Personal interests