Branimir Ćaćić, Visiting Assistant Professor
[Starting July 1, 2016, you can find me at the University of New Brunswick.]
Office: | Blocker 633G |
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E-mail: | branimir [AT] math.tamu.edu |
Office Hours: |
2:00–3:00 p.m. (Monday, Tuesday),
3:00–4:00 p.m. (Wednesday), and by appointment. |
CV: | CV.pdf |
Teaching
- MATH 311-504, Spring 2016.
- MATH 304-506/508, Fall 2015.
- MATH 304-501/502/506, Spring 2015.
- [Visiting the Hausdorff Institute and IHÉS], Fall 2014.
- MATH 251-501/502, Spring 2014.
- MATH 251-501, Fall 2013.
Research Interests
- Noncommutative differential geometry via spectral triples and unbounded KK-theory.
- Applications of noncommutative geometry to applied harmonic analysis, geometric group theory, and mathematical physics.
Preprints
- (with Bram Mesland) Factorisation of principal bundles in KK-theory (in preparation).
Publications
- A reconstruction theorem for Connes–Landi deformations of commutative spectral triples, J. Geom. Phys. 98 (2015), 82–109.
- (with Matilde Marcolli and Kevin Teh) Coupling of gravity to matter, spectral action and cosmic topology, J. Noncommut. Geom. 8 (2014), no. 2, 473–504.
- 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 of June 2012, incorporated into arXiv:1101.5908v4 [math-ph].
- 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.
Seminars Co-organised
Conferences and Workshops Co-organised
- Noncommutative Geometry Festival, April 30–May 3, 2014, Texas A&M University.