Publications and Preprints
Trees Associated with Unitary Partition Complexes
Julie Bergner, Pedro Brunialti Lima de Andrade, Eleftherios Chatzitheodoridis, and Josh Turner
Forthcoming.
Abstract
In a recent paper, Heuts and Moerdijk develop a poset of trees whose classifying space is homotopy equivalent to the (n)-th partition complex, that is, the classifying space of the poset of partitions of a set with (n) elements.
The latter poset features in work of Arone, Dwyer, and Lesh, and it has a unitary analogue introduced by Arone and Lesh.
In joint work with Julie Bergner, Pedro Brunialti Lima de Andrade, and Eleftherios Chatzitheodoridis, we develop a topological poset of trees whose classifying space is homotopy equivalent to the (n)-th unitary partition complex: the classifying space of the topological poset of partitions of (n)-dimensional complex space into pairwise orthogonal subspaces.
Our work builds on the study of unitary partition complexes by Bergner, Joachimi, Lesh, Stojanoska, and Wickelgren. It also establishes results concerning topological categories that may be of independent interest.
The Hatcher–Quinn Invariant and Differential Forms
Vladimir Chernyak, John R. Klein, and Joshua Turner
Preprint.
Machine Learning-Enabled Calibration of River Routing Model Parameters
Ying Zhao, Mayank Chadha, Nicholas Olsen, Elissa Yeates, Josh Turner, Guga Gugaratshan, Guofeng Qian, Michael D. Todd, and Zhen Hu
Journal of Hydroinformatics, 25(5), 2023.