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: 3:35-4:35 MW, 5-6 Tu.
Here is degree information for math majors from Dr. Lesley, who
is undergraduate advisor at 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 2012
- Math 413, Mathematics for
the Middle Grades, spring 2012
Here are my web pages for some of the classes I taught in the
past:
- 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 (updated Oct
2011)
- 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. Proc. 33rd Ann. Conf. North Amer.
Chtr. Int. Grp. for the Psych. of Math. Ed., (2011),
2036-2045.
- 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. Submitted to Nature
Methods. 21 pages
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 2007-2012. 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.
Personal interests