Benjamin Schweinhart

I am an NSF Postdoctoral Fellow and Zassenhaus Assistant Professor at Ohio State University. My research interests are applied, stochastic, and computational geometry and topology, and applications to materials science, physics, and biology. I am on the job market.

Contact Info

Email: schweinhart.2 @ osu (dot) edu

Curriculum Vitae

Papers

B. Schweinhart, D. Rodney, and J. K. Mason, Statistical Topology of Bond Networks with Applications to Silica, October 2019.


J. Jaquette and B. Schweinhart, Fractal Dimension Estimation with Persistent Homology: A Comparative Study, to appear in Communications in Nonlinear Science and Numerical Simulation, 2019.


B. Schweinhart, Fractal Dimension and the Persistent Homology of Random Geometric Complexes, August 2018 (Revised August 2019).


B. Schweinhart, Weighted Persistent Homology Sums of Random Cech Complexes, July 2018. (Note: this manuscript was largely subsumed into the one above.)


B. Schweinhart, Persistent Homology and the Upper Box Dimension, Discrete and Computational Geometry (2019).


B. Schweinhart, Limits of Embedded Graphs, and Universality Conjectures for the Network Flow, June 2017.


B. Schweinhart, J. K. Mason, and R. D. MacPherson, Topological Similarity of Random Cell Complexes and Applications, Physical Review E 93 (2016), doi: 10.1103/PhysRevE.93.062111.


K. Emmett, B. Schweinhart, and R. Rabadan, Multiscale Topology of Chromatin Folding, Proceedings of the 9th International Conference on Bio-inspired Information and Communications Technologies (2015).


B. Schweinhart, Statistical Topology of Embedded Graphs., Thesis, August 2015


R. D. MacPherson and B. Schweinhart, Measuring Shape with Topology, Journal of Mathematical Pshysics 53 (2012), doi: 10.1063/1.4737391.

Software

Swatches: Local Structure Classification in Graphs (beta version). This software implements the methodology described in "Statistical Topology of Bond Networks with Applications to Silica" and "Topological Similarity of Random Cell Complexes and Applications."


Dimension estimation: coming soon!

Talks with Video/Slides

Local Atomic Environments in Oxide Glass, Workshop: Structure in the Micro-world, The Ohio State University (05/2019).


The Persistent Homology of Random Geometric Complexes on Fractals, Conference on Geometric Data Analysis, The University of Chicago (05/2019).


Local Feature Classification in Microstructures using the Local Wasserstein Distance, Mini-symposium on on Statistical Descriptors of Materials at Multiple Length Scales, SIAM Conference on Mathematical Aspects of Materials Science, Portland (07/2018).


Persistent Homology and the Upper Box Dimension, Applied Algebraic Topology Research Seminar (April 2018).