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

My research interests include stochastic topology, topological statistical mechanics, discrete geometry, geometric group theory, and random graphs. I am also interested in topological data analysis and applications of algebraic topology in general.

My research has been supported by the National Science Foundation (NSF). I am currently the PI on an NSF-DMS grant on "Stochastic topology and topological statistical mechanics", a TRIPODS+X:RES grant on "Thermodynamic Phases and Configuration Space Topology" (2019–2021), and an RTG grant on "Algebraic Topology and its Applications" (2016–2021)).

Most of my papers are available in preprint form on the arXiv.

### Papers

*Journal of Applied and Computational Topology*. May 2021. arXiv:1908.04241.

*to appear in Discrete & Computational Geometry*. arXiv:2004.13572.

*to appear in Random Structures & Algorithms*. arXiv:1901.08488.

*Geombinatorics*. Aug 2019. arXiv:1807.10231.

*International Mathematics Research Notices (IMRN)*. May 2019. arXiv:1201.0425.

*Experimental Mathematics*. Jun 2018. arXiv:1710.05683.

*Journal of Applied and Computational Topology*. Jun 2018. arXiv:1409.4734.

*Discrete & Computational Geometry*. Apr 2018. arxiv:1509.03871.

*Book chapter for Handbook of Discrete & Computational Geometry (3rd edition)*. Nov 2017. arXiv:1607.07069.

*Annals of Applied Probability*. Oct 2017. arXiv:1509.04347.

*Discrete & Computational Geometry*. May 2017. arXiv:1308.6232.

*Homology, Homotopy and Applications*. Jan 2016. arXiv:1501.03759.

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

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

*AMS Contemporary Volumes in Mathematics, Algebraic Topology: Applications and New Directions*. Nov 2014. arXiv:1301.7165.

*Annals of Mathematics*. Aug 2014. arXiv:1207.0149.

*Journal of Topology*. Feb 2014. arXiv:1210.4577.

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

*International Mathematics Research Notices (IMRN)*. 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.

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

*Journal of the American Mathematical Society*. Jan 2011. arXiv:0711.2704.

*Geombinatorics*. Oct 2009. arXiv:0811.2449.

*Journal of Combinatorial Theory, Series A*. Sep 2007. arXiv:math/0512077.

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

*Geombinatorics*. Oct 2005.### Preprints

*(submitted)*. arXiv:2010.14480.

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