| TEAM | Mauricio Godoy Molina |
Mauricio Godoy Molina
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Education and Degrees
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Research topics
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| Biography I am an associate professor at the University of La Frontera (Temuco, Chile). Before that I had postdoc positions at the University of Bergen (Norway), at the University of Göttingen (Germany), at Supélec (Paris-Sud University, France) and at École Polytechnique (France). I completed my Ph.D. thesis at the University of Bergen, under the supervision of Irina Markina and Alexander Vasi'ev. For the past decade or so I have been studying differential geometry. Mostly I have been interested in problems related to sub-Riemannian geometry and geometric control theory. This has led me quite often to be concerned with algebraic problems, typically related to Lie theory. |
| Selected Publications Submersions and curves of constant Geodesic Curvature Godoy Molina, Mauricio; Grong, Erlend; Markina, Irina Mathematische Nachrichten. 2019, 292 (9), pp. 1956-1971, DOI: 10.1002/mana.201800352 Rigidity of 2-step Carnot groups Godoy Molina, Mauricio; Kruglikov, Boris; Markina, Irina; Vasil'ev, Alexander The Journal of Geometric Analysis. 2018, 28 (2), pp. 1477-1501, DOI: 10.1007/s12220-017-9875-3 Lie algebras attached to Clifford Modules and simple graded Lie algebras Furutani, Kenro; Godoy Molina, Mauricio; Markina, Irina; Morimoto, Tohru; Vasil`ev, Alexander Journal of Lie theory. 2018, 28 (3), pp. 843-864. Riemannian and sub-Riemannian geodesic flows Godoy Molina, Mauricio; Grong, Erlend The Journal of Geometric Analysis. 2017, 27 (2), pp. 1260–1273, DOI: 10.1007/s12220-016-9717-8 Symmetries of the rolling model Chitour, Yacine; Godoy Molina, Mauricio; Kokkonen, Petri Mathematische Zeitschrift. 2015, 281 (3), pp. 783–805, DOI: 10.1007/s00209-015-1508-6 |
| Current Doctoral Supervision 2020 - Abraham Bobadilla - PhD in Mathematics | University of La Frontera, Temuco, Chile. Title: Pseudo-Riemannian rolling and rolling lift |
| Research Grants Joint USA-CHILE Geometry at the Frontier (2020 - 2022) – Co-investigator. South-North Latin American network through Geometry (2020 - 2022) – Co-investigator. Mathematical structures of non-holonomic systems (2018 - 2022) – Principal Investigator. Ground state space of non-abelian topological higher gauge theories (2020 - 2021) – Co-investigator. |