Homepage of Erlend Grong
Department of Mathematics, University of Bergen
Photo: Magnus Johan Grong
Welcome to my homepage
Contact:
University of Bergen, Department of Mathematics,
P.O. Box 7803, 5020 Bergen, Norway
Researcher at the University of Bergen
I am currently a Researcher in Mathematics, working at the University of Bergen. You can find me at the Department of Mathematics on the forth floor of Nature Science Building, room 4A7f. My homepage at the department.
Adjunct associate professor at BI
I am an adjunct associate professor at BI Norwegian Business School. My homepage at BI.
My project
I am a researcher in the project GeoProCo: Geometry and Probability with Constrains, supported by the Trond Mohn Foundation. See more details about the project at its homepage.
I am the organizer of the Analysis and PDE seminar at the Department of Mathematics in Bergen.
I am an associate editor of the journal of Analysis and Mathematical Physics.
Se separate pages for
Upcoming events that I organizing
Teaching and organizing: NORA.ai Summer School, Course 1, Geometric Deep Learning, June 10-14, Kristiansand, Norway.
Upcoming events that I am attending
Frontiers in Sub-Riemannian Geometry, November 25-29 , 2024 in CIRM, Luminy.
Lie groups, geometry, integrability, hydrodynamics, July 1-5, 2024 in Nordfjordeid, Norway.
Geometric Sciences in Action: from geometric statistics to shape analysis, May 27 – 31, 2024 in CIRM, Luminy.
Recent events that I have organized
29th Nordic Congress of Mathematicians with EMS, Session of Geometric Analysis, July 3-7, 2023 in Aalborg, Denmark.
Winter School, Cartan Geometry and Related Topics, March 5-9, 2023, Geilo, Norway.
Geo2Int: Geometry and geometric integration, September 7-9, 2022.
Young researchers between geometry and stochastic analysis 2021, Online Summer School, June 16-18, 2021.
Analysis and Geometry in Norway, Workshop, October 30, 2020 Bergen.
Young researches between geometry and stochastic analysis, Workshop, February 2020, Bergen.
Research interests
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.
Recently, I have also look into the sub-Riemannian equivalence problem using Cartan geometry, geometric statistics and geometric deep learning.