Scientific Training

• Ph.D. in Mathematics from the University of Santiago de Compostela, Santiago de Compostela, Spain, 2013.

• Thesis title: Homological properties of transitive Lie algebroids via Sullivan models.

• Advisors: Aleksandr Mishchenko (Moscow State University) and Jesus Alvarez (University of Santiago de Compostela).  

Main Research Interests

• Geometry and Topology.

• Cohomology of Lie groupoids and Lie algebroids.

• Lie groupoids and foliations.

Recent Scientific Collaborators

• Aleksandr Mishchenko, Department of High Geometry and Topology, Moscow State University, Moscow, Russia.

• Jesus Alvarez, Department of Geometry and Topology, University of Santiago de Compostela, Santiago de Compostela, Spain.

• James Stasheff, University of North Carolina and University of Pennsylvania, USA.

• Nicolae Teleman, Università Politecnica delle Marche, Ancona, Italy.

Selected Invited Talks

• A note on cohomology of locally trivial Lie groupoids on triangulated spaces. International Conference Morse theory and its applications, September 25-28, 2019, Kiev, Ukraine.

• Sullivan constructions for transitive Lie algebroids - polynomial case. Seminar at the University of Minho, February 2019, Braga, Portugal.

• Sullivan constructions for transitive Lie algebroids - polynomial case (with Aleksandr Mishchenko). Conference on Partial Differential Equations and Applications in Memory of Professor B.Yu. Sternin, November 6-9, 2018, Moscow, Russia.

• On the sheaf of smooth forms on Lie algebroids over triangulated spaces. New trends on Foliated and Stratified Spaces: Topology, Geometry and Analysis - Commemorating the 70th birthday of Xosé M. Masa, June 18-19, 2018, Santiago de Compostela, Spain.

Research Projects

• Ministerio de Ciencia e Innovación, MICINN - MTM2014-56950-P, Foliations, Stratified Spaces, Lie algebroids and Hamiltonians, 01/01/2015 – 31/12/2017 (research member). Main researcher: Jesus Alvarez, University of Santiago de Compostela.