Research Center - Geometry at the Frontier


TEAM | Mauricio Godoy Molina

Mauricio Godoy Molina

Associate Professor, Department of Mathematics and Statistics,
University of La Frontera

Education and Degrees
Ph.D in Mathematics, University of Bergen, Bergen, Norway (2011)
M.Sc. in Mathematics, Federico Santa María Technical University, Valparaíso, Chile (2007)
B.Sc. in Mathematics, Federico Santa María Technical University, Valparaíso, Chile (2007)
B.Sc. of Mathematical Engineering, Federico Santa María Technical University, Valparaíso, Chile (2006)

Curriculum Vitae
 +56 45 259 67 41

Research topics

Differential geometry
Sub-Riemannian geometry
Geometric control theory
Lie theory
Geometric analysis


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.