J. Andrew Newman, Ph.D.
I'm currently a postdoc at Carnegie Mellon University in the Department of Mathematical Sciences. My research interests are in the intersection of topology, combinatorics, and probability, in particular the study of random simplicial complexes and applying the probabilistic method to problems in topology.
I completed my Ph.D. at The Ohio State University in 2018, and prior to my position at CMU, I was a postdoc in the Facets of Complexity research training group working in the Discrete Mathematics and Geometry group at Technische Universität Berlin from 2018 to 2020.
Office: Wean Hall 7128
Office Phone: 412-268-6126
Email: anewman [at] andrew [dot] cmu [dot] edu
Research -- Preprints and Publications
Chromatic numbers of flag 3-spheres. https://arxiv.org/abs/2311.08499.
Linear embeddings of random complexes. https://arxiv.org/abs/2212.09576.
One-sided sharp thresholds for homology of random flag complexes. https://arxiv.org/abs/2108.04299.
with Matthew Kahle. Topology and geometry of random 2-dimensional hypertrees. Discrete & Computational Geometry. 2022. https://doi.org/10.1007/s00454-021-00352-x. (also on arXiv)
with Francisco Criado. Randomized construction of complexes with large diameter. Discrete & Computational Geometry. 2020. https://doi.org/10.1007/s00454-020-00248-2, (also on arXiv)
On the complexity of random polytopes. https://arxiv.org/abs/1904.10225.
Small simplicial complexes with prescribed torsion in homology. Discrete & Computational Geometry 2018. https://doi.org/10.1007/s00454-018-9987-y. (also on arXiv)
with Matthew Kahle, Frank H. Lutz, and Kyle Parsons. Cohen--Lenstra heuristics for torsion in homology of random complexes. Experimental Mathematics 2018. (also on arXiv) https://doi.org/10.1080/10586458.2018.1473821
Ph.D. , Mathematics. Completed July 2018. The Ohio State University. Dissertation: Torsion in Homology of Random Simplicial Complexes. Advisor: Prof. Matthew Kahle.
MA, Mathematics. Completed June 2013. Miami University. Advisor: Prof. Tao Jiang.
BA, Mathematics. Completed January 2011. Franklin College.
Conference & Seminar Talks
New Trends from Classical Theorems in Geometry, Topology, and Combinatorics. Casa Matemática Oaxaca. June 6, 2023.
Special Session on Probabilistic and Extremal Combinatorics. AMS Sectional Meeting. University of Cincinnati. April 15, 2023.
Miami University Department of Mathematics Colloquium. September 8, 2022.
Facets of Complexity Monday Lecture. Freie Universität Berlin. May 9, 2022.
Session on Geometric Topology. 55th Spring Topology and Dynamical Systems Conference. Baylor University. March 10th, 2022.
Carnegie Mellon Math Club Colloquium. February 23, 2022.
LMS workshop on applied topology. Virtual conference hosted by Queen Mary University of London. February 1, 2022.
Stochastic Topology Mini-Conference. Virtual conference hosted by TU Berlin. September 21, 2021.
Algebraic Questions in Random Integral Matrices. Virtual conference hosted by Ohio State University. November 15, 2020
Geometry and Control Seminar. SISSA. February 18, 2020.
Combinatorics Seminar. Czech Academy of Science, Institute of Computer Science. February 12, 2020
Applied Topology Seminar. University of Aberdeen. February 5, 2020
Stochastic Analysis Seminar. Technische Universität Berlin. January 13, 2020
Algebra Oberseminar. Universität Osnabrück. November 19, 2019
Session on Random Geometry and Topology. SIAM Conference on Applied Algebraic Geometry. Universität Bern. July 11, 2019
Computational Topology Seminar. Technische Universität München. February 15, 2019.
Combinatorics and Graph Theory Seminar. Freie Universität Berlin. November 28, 2018.
Discrete Geometry Seminar. Freie Universität Berlin. November 22, 2018.
Facets of Complexity Monday Lecture. Technische Universität Berlin. June 4, 2018. (Slides)
Topology, Geometry, and Data Analysis Seminar. Ohio State University. April 10, 2018.
Graduate Student Combinatorics Conference. University of Texas at Dallas. April 7, 2018
Special Session on TGDA. AMS Sectional Meeting. Ohio State University. March 17, 2018.
Combinatorics and Probability Seminar. Ohio State University. September 28, 2017.
Stochastic Topology Seminar. ICERM. October 12, 2016.
Carnegie Mellon (2020 - present)
Fall 2023: Course 21-256 -- Multivariate Analysis
Spring 2023: Course 21-259 -- Calculus in Three Dimensions
Fall 2022: Courses 21-325 -- Probability and 21-259 -- Calculus in Three Dimensions
Summer 2022: Course 21-325 -- Probability
Spring 2022: Course 21-325 -- Probability
Fall 2021: Course 21-259 -- Calculus in Three Dimensions
Spring 2021: Course 21-341 -- Linear Algebra
Fall 2020: Course 21-259 -- Calculus in Three Dimensions
Ohio State (2013 - 2018)
Spring 2017: Math 1152 -- Calculus II
Fall 2015: Math 1150 -- Precalculus
Spring 2015: Math 1151 -- Calculus I
Fall 2014: Math 1151 -- Calculus I
Miami University (2011 - 2013)
Spring 2013: Math 151 -- Calculus I
Fall 2012: Math 104 -- Precalculus
Fall 2011: Math 123 -- Precalculus