Publications
- M. Kahle, F. Lutz, A. Newman, K. Parsons. Cohen–Lenstra heuristics for torsion in homology of random complexes. Experimental Mathematics 2018. https://doi.org/10.1080/10586458.2018.1473821
- A. Newman. Small simplicial complexes with prescribed torsion in homology. Discrete & Computational Geometry 2018. https://doi.org/10.1007/s00454-018-9987-y
- A. Newman. On freeness of the random fundamental group. https://arxiv.org/abs/1601.07520. To appear in Journal of Topology and Analysis.
- T. Jiang & A. Newman. Small dense subgraphs of a graph. SIAM Journal on Discrete Mathematics 2017 31:1, 124-142.
Preprints
- A. Newman & E. Paquette. The integer homology threshold in Y_d(n, p). https://arxiv.org/abs/1808.10647.
- A. Newman. A lower bound on the number of homotopy types of simplicial complexes on n vertices. https://arxiv.org/abs/1804.06787.
Talks
- A. Newman. Small simplicial complexes with large torsion in homology. Facets of Complexity Monday Lecture. Technische Universität Berlin. June 4, 2018. (Slides)
- A. Newman. Torsion in homology of random complexes. Topology, Geometry, and Data Analysis Seminar. Ohio State University. April 10, 2018.
- A. Newman. Small simplicial complexes with prescribed torsion in homology. Graduate Student Combinatorics Conference. University of Texas at Dallas. April 7, 2018.
- A. Newman. Cohen–Lenstra heuristics for torsion in homology of random complexes. AMS Sectional Meeting, Special Session on Topology and Geometry in Data Analysis. Ohio State University. March 17, 2018.
- A. Newman. Small simplicial complexes with prescribed torsion in homology. Binghamton University’s Graduate Conference in Algebra and Topology. Binghamton University. October 14, 2017.
- A. Newman. Small simplicial complexes with prescribed torsion in homology. Combinatorics and Probability Seminar. Ohio State University. September 28, 2017.
- A. Newman. Torsion in homology of random 2-complexes. Stochastic Topology Seminar. ICERM. October 12, 2016.
- A. Newman. Properties of random simplicial complexes. MGSA Grad Student Seminar. Ohio State University. January 12, 2016.
Dissertation: Torsion in Homology of Random Simplicial Complexes