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 mail.sdsu.edu)
Tel: (760) 768-5606
Office: East Faculty 101
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Teaching
Office hours: 4:30-5:30 MW, 10:15-11:00 TuTh.
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:
- GMS 91, Intermediate
Algebra, spring 2013
- Math 413, Mathematics for
the Middle Grades, spring 2013
- Math 524, Linear Algebra,
spring 2013
Here are my web pages for some of the classes I taught in the
past:
- GMS 91 Sec 1, Intermediate
Algebra, fall 2012
- GMS 91 Sec 2, Intermediate
Algebra, fall 2012
- Math 510, Introduction to
the Foundations of Geometry, fall 2012
- GMS 91,
Intermediate Algebra, spring 2012
- Math 413,
Mathematics for the Middle Grades, spring 2012
- GMS 90, Fundamentals of
Mathematics, fall 2011
- Math 303, History of
Mathematics, fall 2011
- Math 521A, Abstract
Algebra, fall 2011
- GMS 91, Intermediate
Algebra, spring 2011
- Math 414, Mathematics
Curriculum and Instruction, spring 2011
- Math 524, Linear Algebra,
spring 2011
- GMS 91, Intermediate
Algebra, fall 2010
- Math 302, Transition to
Higher Mathematics, fall 2010
- Math 510,
Introduction to the Foundations of Geometry, fall 2010
- Math 413, Mathematics for
the Middle Grades, spring 2010
- Math 521B, Abstract
Algebra, spring 2010
- GMS 91, Intermediate
Algebra, fall 2009
- Math 303, History of
Mathematics, fall 2009
- Math 521A, Abstract
Algebra, fall 2009
- Math 302, Transition to
Higher Mathematics, spring 2009
- Math 510, Introduction to
the Foundations of Geometry, spring 2009
- GMS 91, Intermediate
Algebra, fall 2008
- Math 414, Mathematics
Curriculum and Instruction, fall 2008
- Math 524, Linear Algebra, fall 2008
- Math 303, History of
Mathematics, spring 2008
- Math 521B, Abstract
Algebra, spring 2008
- Math 521A, Abstract
Algebra, fall 2007
- Math 579, Combinatorics,
fall 2007
- Math 413, Mathematics for the Middle
Grades, fall 2007
- Math 302, Transition to
Higher Mathematics, spring 2007
- Math 510, Introduction to
the Foundations of Geometry, spring 2007
- Math 313, Topics in
Elementary Mathematics II, fall 2006
- Math 524, Linear Algebra,
fall 2006
- Math 1101, Calculus I,
spring 2006
- Math 1102, Calculus II,
spring 2006
- Math 1101, Calculus I,
fall 2005
- Math 2111, Linear
Algebra, fall 2005
- Math 3134, Applied
Combinatorics and Graph Theory, spring 2005
- Math 3124, Modern
Algebra, spring 2004
- Math 5C, Differential
Equations and Fourier Series, spring 2003
- Math 3C, Calculus with
Applications III, winter 2003
- Math 15,
Precalculus, spring 2001
- Math
103B, Modern Applied Algebra, spring 2000
- Math
103A, Modern Applied Algebra, winter 2000
- Math 110, Introduction to Partial Differential
Equations, spring 1999
- Math 21D, Honors Differential Equations, fall
1998
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 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
- Curriculum Vitae (last updated
Oct 2012)
- I. Tuba. Braid Representations and Tensor Categories.
Ph.D. thesis, Sep 2000, 49 pages.
- I. Tuba, H. Wenzl. Representations of the braid group B3
and of SL(2,Z). Pacific J. Math., 197,
(2001), 491-510.
- I. Tuba. Low-dimensional unitary representations of B3. Proc. Amer. Math.
Soc., 129, (2001), 2597-2606.
- I. Tuba, H. Wenzl. On braided tensor categories of type BCD. J.
Reine
Angew. Math., 581,
(2005), 31-69.
- E. Rowell, I. Tuba. Finite Linear Quotients of B3 of Low Dimension. J. Knot Theory
Ramifications, 19,
(2010), no. 5, 587-600.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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
Professional development for Imperial Valley math
teachers
- I direct the Imperial
Valley Mathematics Project. IVMP runs various professional
development programs for IV mathematics teachers.
- I used to direct the Supporting Teacher Retention for Imperial
Valley Educators project. STRIVE's goal was to increase the
retention of beginner mathematics teachers by supporting them
with training in math content and pedagogy/teaching strategies
and developing their leadership skills. Our STRIVE
website still has various teaching materials that may be
useful.
Personal interests