Homepage of Erlend Grong
Department of Mathematics, University of Bergen
Upcoming events that I am organizing
Young researchers between geometry and stochastic analysis 2021, Online Summer School, June 16-18, 2021.
Upcoming events that I am attending
Stochastic differential geometry and mathematical physics, Rennes and Online, June 7-11, 2021.
Rough path techniques in stochastic analysis and mathematical probability, Oslo, Norway, November 25-26, 2021.
AMS-SMF-EMS International Meeting, Grenoble, France, July 5-9, 2021. Delayed until 2022.
Analysis and Geometry in Norway, Workshop, October 30, 2020 Bergen.
Rough paths and stochastic partial Differential Equations 2020, online, December 11-12, 2020.
Mørketidens Mattemøte, Tromsø, Norway, January 14-15, 2021.
Young researches between geometry and stochastic analysis, Workshop, February 2020, Bergen.
My research is centered around sub-Riemannian geometry, and branches out in any direction linked to this subject. I began by studying problems related to geodesics and control theory. After my Ph.D., I have mostly been working on the relationship between sub-Riemannian geometry and second order operators that are not elliptic, but still hypoelliptic. On of the main tools to investigate this relationship has been to apply the geometry of stochastic differential equations. Another tool of increasing importance has been investigating holonomy groups defined only by loops tangent to a subbundle, which has powerful applications to sub-Riemannian metrics as well as Riemannian metrics on foliations.