Benjamin Schweinhart

I am an NSF Postdoctoral Fellow and Zassenhaus Assistant Professor at Ohio State University. Previously, I was a postdoc at the Center of Mathematical Sciences and Applications at Harvard University and a mathematics PhD student at Princeton University. My research interests are random and computational topology and geometry, and applications to materials science and physics.

Contact Info

Email: schweinhart.2 @ osu (dot) edu

Curriculum Vitae

Talks

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


Topology Similarity of Cell Complexes, Topology, Geometry, and Data Analysis Conference, Ohio State University (May 2016).


Topology Similarity of Random Cell Complexes, Workshop on Topology: Identifying Order in Complex Systems, Institute for Advanced Study (December 2014).

Papers

B. Schweinhart, The Persistent Homology of Random Geometric Complexes on Fractals, August 2018


B. Schweinhart, Weighted Persistent Homology Sums of Random Cech Complexes, July 2018


B. Schweinhart, Persistent Homology and the Upper Box Dimension, January 2018


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


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


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