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 4G7e (tempory moved from 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 am attending
New trends in Stochastic Analysis, Banff, Alberta, Canada, May 21-26, 2023.
Geometry and Control in Florence, Florence, Italy, March 28 to April 1, 2022, Delayed until 2023.
29th Nordic Congress of Mathematicians with EMS, Session of Geometric Analysis, 3-7 July 2023 in Aalborg, Denmark.
Winter School, Cartan Geometry and Related Topics, March 5-9, 2023, Geilo, Norway.
Recent events
1st CODYSMA Workshop, October 26-28, 2022.
Geo2Int: Geometry and geometric integration, September 7-9, 2022.
Ecostat, Kyoto, Japan, June 4-6, 2022.
Seminar Sophus Lie, Nordfjordeid, Norway, June 12-18, 2022.
AMS-SMF-EMS International Meeting, Grenoble, France, July 5-9, 2021. Delayed until 2022.
42nd Winter School in Geometry and Physics, Srni, Czeck Republic, January 15-22, 2022.
Microlocal and Global Analysis, Interactions with Geometry, Potsdam and Online, Germany, February 21-25, 2022.
Rough path techniques in stochastic analysis and mathematical probability, Oslo, Norway, November 25-26, 2021.
Young researchers between geometry and stochastic analysis 2021, Online Summer School, June 16-18, 2021.
Stochastic differential geometry and mathematical physics, Rennes and Online, June 7-11, 2021.
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.
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 and have looked into applications in statistics on manifolds.