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Caltech Home
Office:
158 Sloan
Phone:
(626) 395-4373
E-mail:
branimir(at)caltech.edu
Graduate Student Seminar
Branimir Ćaćić
Employment
Visiting Assistant Professor,
Department of Mathematics, Texas A&M University
(starting August 2013).
Advisor:
Matilde Marcolli
Research Interests
Noncommutative geometry, particularly noncommutative Riemannian geometry via spectral triples.
Applications of noncommutative geometry to mathematical physics.
Teaching
Spring 2013 - TA for Ma
Ma 1c Practical (Vector Calculus)
.
Winter 2013 - Lead TA for Ma 1b Practical (Linear Algebra).
Fall 2012 - TA for Ma 2a Analytic (Differential Equations).
Winter 2012 - Grader for Ma 108b (Classical Analysis).
Fall 2011 - Grader for Ma 110a (Analysis I).
Spring 2011 - TA for Ma 4c (Fractal Geometry and Chaos Theory), Ma 148c (Quantum Physics for Mathematicians).
Winter 2011 - TA for Ma 1b Analytic (Linear Algebra).
Fall 2010 - TA for Ma 1a (Calculus).
Spring 2010 - TA for Ma 1c Practical (Vector Calculus).
Winter 2010 - TA for Ma 1b Practical (Linear Algebra).
Fall 2009 - TA for Ma 1a (Calculus).
Preprints
A reconstruction theorem for toric noncommutative manifolds
(in preparation).
Publications
Coupling of gravity to matter, spectral action and cosmic topology
(with
Matilde Marcolli
and
Kevin Teh
), to appear in Journal of Noncommutative Geometry.
Real structures on almost-commutative spectral triples
, Lett. Math. Phys. 103 (2013), no. 7, 793-816.
A reconstruction theorem for almost-commutative spectral triples
, Lett. Math. Phys. 100 (2012), no. 2, 181-202. (
Erratum
, June 2012, incorporated into the latest arXiv version)
Moduli spaces of Dirac operators for finite spectral triples
, in
Quantum Groups and Noncommutative Spaces: Perspectives on Quantum Geometry
(eds. M. Marcolli, D. Parashar), Vieweg Verlag, 2010.
Dissertation
On reconstruction theorems in noncommutative Riemannian geometry
(defended May 17, 2013).