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

I am the PI on an NSF-RTG grant on "Algebraic Topology and its Applications" (2016–2021), and an NSF-CAREER grant on "Random spaces and groups" (2014–2019). I am also Senior Personnel on an NSF-TRIPODS grant on "Discovering Structure, Shape, and Dynamics in Data" (2017–2020).

### Papers

Matthew Kahle, Érika Roldán. "Polyominoes with maximally many holes." Geombinatorics.

*Random Structures & Algorithms*. Jan 2016. arXiv:1301.1324.

*Geombinatorics*. Jul 2015. arXiv 1409:1278.

*J. Topol.*. Feb 2014.

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

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

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

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

*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.

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

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

*Geombinatorics*. Oct 2009. arXiv:0811.2449.

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

Matthew Kahle. "Scatters, unavoidable shapes, and crystallization."

*Geombinatorics*. Oct 2005.### Preprints

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. "Survey talk on Random Simplicial Complexes." Sep 2017.