Dimitri Konen

Welcome to my homepage !

Since October 2022, I am a F.R.S-FNRS Research Fellow at Université Libre de Bruxelles (ULB) in Belgium. I am also affiliated to European Center for Advanced Research in Economics and Statistics (ECARES) and the Department of Mathematics at ULB.

I am interested in fundamental concepts living at the intersection of probability and statistics. My aim is to bring tools from other areas such as PDE's, differential geometry and algebra to adress these questions.

Currently, my research focuses on developping statistical tools that enables one to understand the geometry of datasets in various contexts : in Euclidean spaces, manifolds, functional spaces, groups, spaces of measures, etc.

Publications

Work in progress

A new paradigm of depth in arbitrary measure spaces
On uniformly most powerful unbiased two-sided tests outside exponential models
Characterisation of weak convergence via multivariate spatial ranks

Preprints

Recovering a probability measure from its multivariate spatial rank, submitted (2022, 41 pages)
Spatial quantiles on the hypersphere
with Davy Paindaveine, submitted (2022, 59 pages)

Publications in peer-reviewed journals

Multivariate rho-quantiles : a spatial approach
with Davy Paindaveine
Bernoulli 28, 1912–1934 (2022, 23 pages)
Supplementary material (53 pages)

Theses

On an extension of spatial quantiles
Master thesis, under the supervision of Davy Paindaveine (2020, 90 pages)

Teaching

2022-2023

Invited Lecturer :

SMAT B305 : Probability II, UNamur

Teaching assistant :

MATH-F3001 : Measure theory, ULB
Exercices sheets
MATH-F3002 : Functional spaces and Fourier analysis, ULB
Exercices sheets

Past activities

2021-2022

I was teaching assistant at ULB for the following courses :

MATH-F3001 : Measure theory
MATH-F3002 : Functional spaces and Fourier analysis

2020-2021

I was teaching assistant at ULB for the following courses :

MATH-F3001 : Measure theory
MATH-F3002 : Functional spaces and Fourier analysis

2018-2019

As a graduate student, I was student assistant for the following course at ULB :

MATH-F101 : Differential and integral calculus I

My CV

Full-time position

12/2022 - 09/2024

F.R.S.-FNRS Research Fellow
Université Libre de Bruxelles

Education

10/2020 - 11/2022		PhD Student, F.R.S.-FNRS Research Fellow Université Libre de Bruxelles
06/2020		Master of Science in Statistics, Highest honours Université Libre de Bruxelles
06/2018		Bachelor of Science in Mathematics, High honours Université Libre de Bruxelles
06/2014		Secondary degree, High honours Collège Saint-Michel, Brussels

Talks

10/2022	Recovering a probability measure from its spatial rank 29th Annual Meeting of the Royal Statistical Society of Belgium (RSSB)
10/2022	Recovering a probability measure from its spatial rank Invited talk, Young Statisticians Europe
07/2022	Extending the univariate cumulative distribution function and related PDE's aspects PhD seminar on statistics, ULB
12/2021	Spatial Lp-quantiles as risk measures Xmas workshop, ECARES
12/2021	Spatial quantiles on the hypersphere Invited talk, 14th International Conference on Computational and Methodological Statistics, King's College London
04/2021	Spatial Lp-quantiles Statistics seminar, ULB