Imre Tuba's homepage
Imre Tuba
Assistant Professor of Mathematics
San Diego State University, Imperial Valley Campus
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 106
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Teaching
Current classes:
Here are my web pages for some classes I taught in the past:
- Math 303, History of
Mathematics, spring 2008
- Math 521B, Abstract Algebra,
spring 2008
- Math 413, Mathematics for the
Middle Grades, fall 2007
- Math 521A, Abstract Algebra,
fall 2007
- Math 579, Combinatorics, 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 interests lie in algebra and things algebraic in nature. I
wrote
my Ph.D. thesis under the guidance of Hans
Wenzl on low-dimensional simple and unitarizable representations of
the braid group B3. Wenzl and I have since used braid
representations to characterize all braided semisimple tensor
categories of type BCD.
Here is my mathematical genealogy graph
generated by the Mathematics
Genealogy Project and the Mathematics
Genealogy Grapher. My Erdős number
is 4.
Papers, preprints and my CV
- Braid Representations and Tensor Categories. Ph.D.
thesis,
Sep 2000, 49 pages.
- (with H. Wenzl),
Representations of the braid group B3 and of
SL(2,Z). Pacific J.
Math., 197, (2001), 491-510.
- Low-dimensional unitary representations of B3. Proc. Amer. Math. Soc., 129,
(2001), 2597-2606.
- (with H. Wenzl),
On
braided tensor categories of type BCD. J.
Reine Angew. Math., 581,
(2005), 31-69.
- (with E. Rowell), Finite Linear Quotients of B3
of Low Dimension. Submitted for publication. Preprint posted at arXiv:0806.0168v1.
- Curriculum
Vitae (last updated Oct 2008)
Personal interests
