In October 2023 I joined the DataShape team at Inria Saclay and the Laboratoire de Mathématiques d’Orsay (LMO) as an ISFP (Inria Starting Faculty Position).
In 2021-23 I was a Lecturer (Assistant Professor) in Mathematics of Data Science at Queen Mary University of London. Before that, I was a CAM adjunct assistant professor at UCLA, and a postdoctoral fellow at the Max Planck Institute for Mathematics in the Sciences in Leipzig. I obtained a DPhil (PhD) in Mathematics from the University of Oxford in June 2018, and an MSc and BSc in Mathematics from the ETH Zurich.
In my research I am interested in using methods from algebra, geometry and topology to study data. I am currently particularly interested in advancing our understanding of weather regimes using methods from topology.
Publications and preprints
My research is interdisciplinary, and the order of authors in different publications follows conventions dictated by different disciplines.
Weather regimes
A topological perspective on weather regimes, K. Strommen, M. Chantry, J. Dorrington, NO, Climate Dynamics (2022) https://doi.org/10.1007/s00382-022-06395-x
Persistent homology
On the effectiveness of persistent homology, R. Turkeš, G. Montúfar, NO, 2022, to appear in NeurIPS 2022
Amplitudes on abelian categories, B. Giunti, J. Nolan, NO, L. Waas, 2021
Stratifying multiparameter persistent homology, H. Harrington, NO, H. Schenck, U. Tillmann), SIAM Journal on Applied Algebraic Geometry, 3(3):439-471 (2019)
A roadmap for the computation of persistent homology, NO, M. Porter, U. Tillmann, P. Grindrod, H. Harrington, EPJ Data Science, 2017, 6:17 (2017)
Magnitude
Alpha magnitude, M. O’Malley, S. Kalisnik, NO, Journal of Pure and Applied Algebra, 227:11, 2023
Magnitude meets persistence. Homology theories for filtered simplicial sets, NO, Homology, Homotopy and Applications, 24(2), 2022, pp.401-423
Social networks
A unififed framework for equivalences in social networks, NO, M. A. Porter, 2020
Geometric deep learning
Weisfeiler and Lehman Go Cellular: CW Networks, C. Bodnar, F. Frasca, NO, Y. G. Wang, P. Liò, G. Montúfar, M. Bronstein, Advances in Neural Information Processing Systems (NeurIPS 2021), 34:2625–2640, 2021
Weisfeiler and Lehman Go Topological: Message Passing Simplicial Networks, C. Bodnar, F. Frasca, Y. G. Wang, G. Montufar, NO, P. Lio, M. Bronstein, Proceedings of the 38th International Conference on Machine Learning (ICML 2021) PMLR 139:1026–1037, 2021
Can neural networks learn persistent homology features?, G. Montufar, Y. G. Wang, NO, Topological Data Analysis and Beyond Workshop, at the 34th Conference on Neural Information Processing Systems (NeurIPS 2020), Vancouver, Canada
Phylogenetics
Operads and phylogenetic trees, J. Baez, NO, Theory and Applications of Categories, 33(40):1397-1453 (2017).