Research

Research Articles

I upload my preprints to the arXiv preprint server; you can find my work there at
http://arxiv.org/a/vegamolino_g_1.

My ORCID iD is 0000-0001-5531-4646.

TitleCollaborators, NotesarXivCitation
A sub-Riemannian Gauss-Bonnet theorem for surfaces in contact manifoldsErlend Grong, Jorge Hidalgo Calderón2204.03451
Totally Geodesic Foliations and sub-Riemannian GeometryPh.D Thesis,
Dec. 2020
A horizontal Chern-Gauss-Bonnet formula on totally geodesic foliations Fabrice Baudoin, Erlend Grong2106.15558Baudoin, F., Grong, E. & Vega-Molino, G. A horizontal Chern–Gauss–Bonnet formula on totally geodesic foliations. Ann Glob Anal Geom (2022). DOI: 10.1007/s10455-022-09827-3
Stability and asymptotic analysis of the Föllmer-Schweizer decomposition on a finite probability spaceSarah Boese, Tracy Cui, Sam Johnston, and Oleksii Mostovyi2002.03286Boese, S., Cui, T., Johnston, S., Molino, G., & Mostovyi, O. (2020). Stability and asymptotic analysis of the Föllmer–Schweizer decomposition on a finite probability space. Involve, a Journal of Mathematics, 13(4), 607–623. DOI: 10.2140/involve.2020.13.607
Comparison theorems on H-type sub-Riemannian manifoldsFabrice Baudoin, Erlend Grong, Luca Rizzi1909.03532
H-type foliationsFabrice Baudoin, Erlend Grong, Luca Rizzi1812.02563
Witten's Laplacian and the Morse InequalitiesMaster's Thesis,
Dec. 2017

Conference and Seminar Talks

TitleDateDetail
2022
Gauss-Bonnet Theorems in sub-Riemannian Geometry22 July
2022
2nd Joint AMS-EMS-SMF Congress of Mathematics,
Université Grenoble Alpes, Grenoble, FR
Gauss-Bonnet Theorems in sub-Riemannian Geometry17 June
2022
Sophus Lie Seminar
Nordfjordeid, NO
Gauss-Bonnet Theorems in sub-Riemannian Geometry29 April
2022
Differential Geometry Seminar
UC Santa Barbara, USA
A sub-Riemannian Gauss-Bonnet theorem for subsurfaces in dimension 33 March
2022
Manifolds and Geometric Integration Colloquia 2022
Lillehammer, NO
An Horizontal Chern-Gauss-Bonnet formula
on totally-geodesic foliations
21 February
2022
Microlocal Analysis and PDEs (Online),
University of Potsdam, DE
2021
H-type Foliations29 September
2021
Analysis and PDE seminar
Universitetet i Bergen, NO
Heat Kernel Methods in Index Theory (Video Recording)12 March
2021
BIRS 21w5184 - Stochastics and Geometry (Online)
Holonomy of H-type foliations16 February
2021
Microlocal and Global Analysis, Interactions with Geometry,
University of Potsdam, DE
On de Sitter Space: an Investigation of the Relativity of Inertia and the Cosmological Constant5 February
2021
Math and Physics Seminar,
University of Connecticut
On Holonomy: An invitation to Riemannian Geometry29 January
2021
SIGMA Seminar,
University of Connecticut
2020
Heat Kernel Methods in Index Theory20 November
2020
19th Annual Northeast Probability Seminar,
CUNY, New York, USA (Online)
Sub-Laplacian Comparison Theorems on H-Type Foliations (Video Recording)9 September
2020
SubRiemannian Geometry and Interactions (SRGI),
Unversité Sorbonne, Paris, FR
Comparison Theorems in H-Type Foliations (Visualization of comparison functions)18 February
2020
Analysis and PDE Seminar,
Universitetet i Bergen, NO
Heat Kernel Methods in Index Theory13 February
2020
Young Researchers between Geometry and Stochastic Analysis,
Universitetet i Bergen, NO
2019
Morse Theory; an Invitation to Differential Geometry9 November
2019
Mathematics Continued Conference,
University of Connecticut, USA
H-Type Foliations; an Invitation to sub-Riemannian geometry4 November
2019
Analysis Seminar,
Temple University, Philadelphia, PA, USA
Confoliations: An Interpolation of Classical Topological Structures25 October
2019
Probability and Statistics Seminar,
Lehigh University, Bethlehem, PA, USA
Holonomy of Riemannian Manifolds and Berger's Classification18 October
2019
Analysis Learning Seminar,
University of Connecticut, USA
Connections on Manifolds: An Introduction to Riemannian Geometry12 October
2019
SIGMA Seminar,
University of Connecticut, USA
Comparison Theorems on H-Type Foliations9 October
2019
Workshop on Analysis and PDE,
Leibniz Universität Hannover, DE
An Introduction to Index Theory25 July
2019
SIGMA Seminar,
University of Connecticut, USA
The Horizontal Einstein Property for H-type sub-Riemannian Manifolds14 April
2019
AMS Eastern Spring Sectional, Special Session on Sub-Riemannian and CR Geometric Analysis,
University of Connecticut (Hartford Campus), USA
The Horizontal Einstein Property for H-type sub-Riemannian Manifolds30 March
2019
Geometric and Harmonic Analysis,
University of Connecticut, USA
H-type foliations4 March
2019
Microlocal and Global Analysis, Interactions with Geometry,
University of Potsdam, DE
The Gauss-Bonnet Theorem: An Introduction to Index Theory1 February
2019
SIGMA Seminar,
University of Connecticut, USA
2018
The Horizontal Einstein Property for H-type sub-Riemannian Foliations16 October
2018
Journées sous-Riemanniennes,
Institut Fourier, Grenoble, FR
The Horizontal Einstein Property for H-type sub-Riemannian Manifolds9 October
2018
Workshop on Analysis and PDE,
Leibniz Universität Hannover, DE
An Introduction to Morse Theory27 July
2018
SIGMA Seminar,
University of Connecticut, USA
Sasakian and Kähler Manifolds 220 April
2018
Complex Geometry Seminar,
University of Connecticut, USA
Sasakian and Kähler Manifolds 123 March
2018
Complex Geometry Seminar,
University of Connecticut, USA
2017
Witten’s Proof of the Morse Inequalities1 December
2017
Qualifying Examination,
University of Connecticut, USA
A Brief Introduction to Morse Theory27 October
2017
Analysis Learning Seminar,
University of Connecticut, USA

Conference Organizing

  • Geo2Int – Differential Geometry, Integration Theory, and Numerical Methods; 7-9 September 2022, Universitetet i Bergen, Bergen, NO
  • BIRS 21w5184 – Stochastics and Geometry (Online) – Informal Session for Early Career Participants 11-12 March 2021

Upcoming Conferences

Attended Conferences

Research Supervision