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: 6-7 MW, 11:45-12:45 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