Anthony Blaom has published work in both pure and applied mathematics. Mathematics research in Differential Geometry and Lie theory has focused on the interplay between symmetry and geometric structure in the study of smooth manifolds. Blaom has also made contributions to Geometric Mechanics (Hamiltonian systems with symmetry), Hamiltonian Perturbation Theory, Machine Learning, and on the chaotic advection of Fluid Flows.

Recent work

• A. D. Blaom (2022). A characterisation of smooth maps into a homogeneous space. SIGMA 18, 029, 15 pages

• Franz J. Király, Markus Löning, Anthony Blaom, Ahmed Guecioueur, Raphael Sonabend (2021). Designing Machine Learning Toolboxes: Concepts, Principles and Patterns Preprint, arXiv:2101.04938 (35 pages)

• Anthony D. Blaom and Sebastian J. Voller (2020). Flexible model composition in machine learning and its implementation in MLJ Preprint, arXiv:2012.15505 (13 pages)

• Anthony D. Blaom , Franz Kiraly , Thibaut Lienart , Yiannis Simillides , Diego Arenas , and Sebastian J. Vollmer (2020). MLJ: A Julia package for composable machine learning Journal of Open Source Software 5(55), 2704 (9 pages)

• A. D. Blaom (2018). Lie algebroid invariants for subgeometry. SIGMA 14, 062, 36 pages

• A. D. Blaom (2017). A geometer’s view of the the Cramér-Rao bound on estimator variance Preprint, arXiv:1710.01598 (5 pages)

• A. D. Blaom (2017). The Lie algebroid associated with a hypersurface. Preprint, arXiv:1702.03452 (9 pages)

• A. D. Blaom (2016). Cartan connections on Lie groupoids. SIGMA 12, 114, 26 pages

• A. D. Blaom (2016). Pseudogroups via pseudoactions: Unifying local, global, and infinitesimal symmetry. Journal of Lie Theory 26(2):535–565 (31 pages)

• A. D. Blaom (2013). The infinitesimalization and reconstruction of locally homogeneous manifolds. SIGMA 9, 074, 19 pages

• A. D. Blaom (2012). Lie algebroids and Cartan’s method of equivalence.. Transactions of the American Mathematical Society 364:3071–3135 (64 pages)

• A. D. Blaom (2006). Geometric structures as deformed infinitesimal symmetries. Transactions of the American Mathematical Society 358:3651–3671 (20 pages)

• A. D. Blaom (2002). Reconstruction phases for Hamiltonian sytems on cotangent bundles. Documenta Mathematica 7:561–604 (43 pages)

• A. D. Blaom (2001). A geometric setting for Hamiltonian perturbation theory. Memoirs of the American Mathemathical Society 153 (727): 1–112 (112 pages)

• A. D. Blaom (2000). Reconstruction phases via Poisson reduction. Differential Geometry and its Applications 12(3):231–252 (21 pages)

A complete list of publications is available here.