# Research////////////////////////////////////////////

I am interested in topology, combinatorics, and probability and statistical mechanics. I'm especially interested in interactions of different fields.

### Papers

*Geombinatorics*. arXiv 1409:1278.

*Random Structures & Algorithms*. arXiv:1301.1324.

*AMS Contemporary Volumes in Mathematics*. Nov 2014. arXiv:1301.7165.

*Ann. of Math.*. Aug 2014. arXiv:1207.0149.

*J. Topol.*. Feb 2014.

*Homology, Homotopy and Applications*. May 2013. arXiv:1009.4130.

*International Mathematics Research Notices*. Feb 2013. arxiv:1108.3061.

*Journal of Topology and Analysis*. Nov 2012. arXiv:1012.5316.

Matthew Kahle. "Sparse locally-jammed disk packings."

*Annals of Combinatorics*. Oct 2012.*Physical Review E*. Jan 2012. arxiv:1301.7165.

*J. Amer. Math. Soc.*. Jan 2011. arXiv:0711.2704.

*Discrete & Computational Geometry*. Jan 2011. arXiv:0910.1649.

*Discrete Math*. Aug 2009. http://arxiv.org/abs/math/0605536.

Matthew Kahle. "Points in a triangle forcing small triangles."

*Geombinatorics*. Oct 2009.Matthew Kahle. "Scatters, unavoidable shapes, and crystallization."

*Geombinatorics*. Oct 2005.*Journal of Combinatorial Theory, Series A*. Sep 2007. The neighborhood complex of a random graph.

### Preprints

Omer Bobrwoski, Matthew Kahle. "Topology of random geometric complexes." (submitted).

Sukhada Fadnavis, Matthew Kahle. "Warmth and mobility of random graphs." arXiv:1009.0792.

### In Preparation

Matthew Kahle. "Configuration spaces of hard spheres in an infinite strip (w/ R. MacPherson)."

### Talks

Matthew Kahle. "Expansion of random simplicial complexes." May 2012.