# Branimir Ćaćić, Visiting Assistant Professor

### Teaching

- 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

- Factorisation of principal bundles in KK-theory (in preparation).

### Publications

*A reconstruction theorem for Connes–Landi deformations of commutative spectral triples*, to appear in J. Geom. Phys.- (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

### Conferences and Workshops

- Noncommutative Geometry Festival, April 30–May 3, 2014, Texas A&M University.