Research
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My research is currently supported by a Sloan Research Fellowship and an NSF-CAREER grant.


Papers

Matthew Kahle, Birra Taha. "New lower bounds on $\chi(R^d)$ for $d=8 \dots 12$." To appear in Geombinatorics . arXiv 1409:1278.

Matthew Kahle, Boris Pittel. "Inside the critical window for cohomology of random k-complexes." To appear in Random Structures & Algorithms . arXiv:1301.1324.

Matthew Kahle. "Topology of random simplicial complexes: a survey." To appear in AMS Contemporary Volumes in Mathematics. Nov 2014. arXiv:1301.7165.

Matthew Kahle. "Sharp vanishing thresholds for cohomology of random flag complexes." Ann. of Math.. Aug 2014. arXiv:1207.0149.

Michael Davis, Matthew Kahle. "Random graph products of finite groups are rational duality groups." J. Topol. . Feb 2014.

Matthew Kahle, Elizabeth Meckes. "Limit theorems for Betti numbers of random simplicial complexes." Homology, Homotopy and Applications. May 2013. arXiv:1009.4130.

Yuliy Baryshnikov, Peter Bubenik, Matthew Kahle. "Min-type Morse theory for configuration spaces of hard spheres." International Mathematics Research Notices. Feb 2013. arxiv:1108.3061.

Dominic Dotterrer, Matthew Kahle. "Coboundary expanders." Journal of Topology and Analysis. Nov 2012. arXiv:1012.5316.

Matthew Kahle. "Sparse locally-jammed disk packings." Annals of Combinatorics. Oct 2012.

Gunnar Carlsson, Jackson Gorham, Matthew Kahle, Jeremy Mason. "Computational topology for configuration spaces of hard disks." Physical Review E. Jan 2012. arxiv:1301.7165.

Eric Babson, Christopher Hoffman, Matthew Kahle. "The fundamental group of random 2-complexes." J. Amer. Math. Soc.. Jan 2011. arXiv:0711.2704.

Matthew Kahle. "Random geometric complexes." Discrete & Computational Geometry. Jan 2011. arXiv:0910.1649.

Matthew Kahle. "Topology of random clique complexes." 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.

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

Preprints

Bobrowski, Omer, Skraba, Primoz. "Maximally Persistent Cycles in Random Geometric Complexes." Maximally Persistent Cycles in Random Geometric Complexes.

Dotterrer, Dominic, Guth, Larry. "2-complexes with large homological systoles." (submitted). 2-complexes with large homological systoles.

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

Christopher Hoffman, Matthew Kahle, Elliot Paquette. "Spectral gaps of random graphs and applications to random topology." on arXiv.

Christopher Hoffman, Matthew Kahle, Elliot Paquette. "The threshold for integer homology in random d-complexes." arXiv:1308.6232.

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.