Kirchhoff's theorems in higher dimensions and Reidemeister torsion MJ Catanzaro, VY Chernyak, JR Klein Homology, Homotopy and Applications 17 (1), 165--189, 2015 | 33 | 2015 |
Generalized Tonnetze MJ Catanzaro Journal of Mathematics and Music 5 (2), 117-139, 2011 | 32 | 2011 |
Moduli spaces of Morse functions for persistence MJ Catanzaro, JM Curry, BT Fasy, J Lazovskis, G Malen, H Riess, B Wang, ... Journal of Applied and Computational Topology 4 (3), 353-385, 2020 | 27 | 2020 |
A higher Boltzmann distribution MJ Catanzaro, VY Chernyak, JR Klein Journal of Applied and Computational Topology 1 (2), 215-240, 2017 | 20 | 2017 |
From mathematics to medicine: A practical primer on topological data analysis (TDA) and the development of related analytic tools for the functional discovery of latent … A Salch, A Regalski, H Abdallah, R Suryadevara, MJ Catanzaro, ... PloS one 16 (8), e0255859, 2021 | 14 | 2021 |
Characteristic classes RR Bruner, M Catanzaro, JP May Unpublished notes,[Online]. Available: http://www. math. uchicago. edu/~ may …, 2012 | 11* | 2012 |
On Kirchhoff's theorems with coefficients in a line bundle MJ Catanzaro, VY Chernyak, JR Klein Homology, Homotopy and Applications 15 (2), 267--280, 2014 | 7 | 2014 |
Excited-state structure modifications due to molecular substituents and exciton scattering in conjugated molecules H Li, MJ Catanzaro, S Tretiak, VY Chernyak The journal of physical chemistry letters 5 (4), 641-647, 2014 | 7 | 2014 |
A Topological Study Of Stochastic Dynamics On CW Complexes MJ Catanzaro | 5 | 2016 |
Multiparameter persistent homology via generalized Morse theory P Bubenik, MJ Catanzaro arXiv preprint arXiv:2107.08856, 2021 | 4 | 2021 |
Counting the number of excited states in organic semiconductor systems using topology MJ Catanzaro, T Shi, S Tretiak, VY Chernyak The Journal of chemical physics 142 (8), 2015 | 4 | 2015 |
Stochastic dynamics of extended objects in driven systems: I. Higher-dimensional currents in the continuous setting MJ Catanzaro, VY Chernyak, JR Klein Chemical Physics 481, 5-18, 2016 | 2 | 2016 |
Fluctuations of cycles in a finite CW complex MJ Catanzaro, VY Chernyak, JR Klein Israel Journal of Mathematics 248 (1), 315-354, 2022 | 1 | 2022 |
Probability measures on graph trajectories MJ Catanzaro, VY Chernyak, JR Klein arXiv preprint arXiv:2104.13566, 2021 | 1 | 2021 |
Hypercurrents MJ Catanzaro, VY Chernyak, JR Klein arXiv preprint arXiv:2010.06783, 2020 | 1 | 2020 |
MVF Designer: Design and Visualization of Morse Vector Fields Y Zhou, J Lazovskis, MJ Catanzaro, M Zabka, B Wang arXiv preprint arXiv:1912.09580, 2019 | 1 | 2019 |
Stochastic dynamics of extended objects in driven systems II: Current quantization in the low-temperature limit MJ Catanzaro, VY Chernyak, JR Klein Chemical Physics 481, 19-27, 2016 | 1 | 2016 |
Finitely Presented Modules over the Steenrod Algebra in Sage MJ Catanzaro | 1 | 2011 |
Topological Decompositions Enhance Efficiency of Reinforcement Learning MJ Catanzaro, A Dharna, J Hineman, JB Polly, K McGoff, AD Smith, ... 2024 IEEE Aerospace Conference, 1-8, 2024 | | 2024 |
Topological Parallax: A Geometric Specification for Deep Perception Models A Smith, M Catanzaro, G Angeloro, N Patel, P Bendich Advances in Neural Information Processing Systems 36, 2024 | | 2024 |