Imre Tuba's homepage

Imre Tuba
E-mail: [firstname][lastname]@gmail.com
Tel: (256) 626-6882
 My picture

Teaching

I do not currently teach at any college/university. Here are my web pages for some of the classes I taught in the past. My intent is to archive these pages the way they were when I taught the class. As a result, some of the links on the pages do not work as they pointed at targets which no longer exist at the college/university where I taught at the time.

Research

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 mathematics education.

Here is my mathematical genealogy graph generated by the Mathematics Genealogy Project and the Mathematics Genealogy Grapher. My Erdős number is 4. Or perhaps 3, depending on whether papers that appeared in non-math journals but have significant math content count.

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


Papers, preprints and my CV

  1. Curriculum Vitae (last updated Oct 2024)
  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. In Proceedings of the 12th International Congress on Mathematical Education, pages 5286-5295. (2012). Seoul, Korea.
  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). Mathematics Teacher, 108, Feb 2015, no. 6, 416-421.

Professional development for Imperial Valley math teachers


Personal interests