I am a professor (W1) of Stochastic Analysis at the University of Greifswald.
Email: first name . last name at gmail . com
Office hours: (please send me an email to schedule a meeting).
Ph.D. Position in Greifswald (Deadline: 28.2.2021) (see also: the official announcement)
If you are interested in doing a Master thesis in the area of algebra, machine learning or statistics, please send me an email!
Each Friday, at 15:00h, I co-organize an online seminar on Algebra, Combinatorics and Perspectives in Mathematical Sciences.
Each Wednesday, at 17:00h, I co-organize an online reading group on operads.
Please send me an email if you are interested in any of them.
I am the German PI in the ANR-DFG-JST funded, trilateral project EnhanceD Data stream Analysis with the Signature Method.
I am a member of the international consortium Anthropological and Mathematical Analysis of Archaeological and Zooarchaeological Evidence.
Talk (at datasig): Tropical time series, iterated-sums signatures and quasisymmetric functions
Talk (at MPI for Mathematics in the Sciences, Leipzig): Convolutional neural networks for sequential data and tropical quasisymmetric functions.
Talk (at RSS Applied Probability Section: Rough path theory in machine learning): Tropical quasisymmetric functions in time series analysis
Workshop: Geometry of curves in time series and shape analysis, August 11 - 14, 2020
Talk (at Nonlinear Algebra Seminar Online, MPI for Mathematics in the Sciences, Leipzig): Time warping invariants and quasisymmetric functions
Workshop: Algebraic and analytic perspectives in the theory of rough paths and signatures, November 14-15, 2019, Oslo.
-> on google scholar
The moving frame method for iterated-integrals: orthogonal invariants
with R. Preiß, M. Ruddy and N. Tapia arXiv:2012.05880, 2020.
Generalized iterated-sums signatures
with K. Ebrahimi-Fard and N. Tapia arXiv:2012.04597, 2020.
Tropical time series, iterated-sums signatures and quasisymmetric functions
with K. Ebrahimi-Fard and N. Tapia arXiv:2009.08443, 2020.
A quadratic identity in the shuffle algebra and a new proof for de Bruijn's formula
with L. Colmenarejo and M.-S. Sorea arXiv:2003.01574, 2020.
Areas of areas generate the shuffle algebra
with T. Lyons, R. Preiß and J. Reizenstein arXiv:2002.02338, 2020.
Iterated-sums signature, quasisymmetric functions and time series analysis
with K. Ebrahimi-Fard and N. Tapia Séminaire Lotharingien de Combinatoire 84B, 2020,
Proceedings of the 32nd Conference on Formal Power Series and Algebraic Combinatorics.
Time warping invariants of multidimensional time series
with K. Ebrahimi-Fard and N. Tapia Acta Applicandae Mathematicae, 2020.
The expected signature of Brownian motion stopped on the boundary of a circle has finite radius of convergence
with H. Boedihardjo, M. Mezzarobba and H. Ni Bulletin of the London Mathematical Society, 2020.
The parabolic Anderson model on Riemann surfaces
with A. Dahlqvist and B. Driver Probability Theory and Related Fields, 2019.
Invariants of multidimensional time series based on their iterated-integral signature
with J. Reizenstein Acta Applicandae Mathematicae, 2018.
Backward stochastic differential equations with Young drift
with J. Zhang Probability, Uncertainty and Quantitative Risk, 2017.
The Kardar-Parisi-Zhang equation as scaling limit of weakly asymmetric interacting Brownian motions
with M. Gubinelli and N. Perkowski Communications in Mathematical Physics, 2017.
Stochastic partial differential equations: a rough paths view on weak solutions via Feynman-Kac
with P. Friz and W. Stannat Annales de la Faculté des Sciences de Toulouse, 2017.
Stochastic control with rough paths
with P. Friz and P. Gassiat, Applied Mathematics & Optimization, 2016.
Pathwise stability of likelihood estimators for diffusions via rough paths
with P. Friz and H. Mai The Annals of Applied Probability, 2016.
The inverse problem for rough controlled differential equations
with I. Bailleul SIAM Journal on Control and Optimization, 2015.
Regularity Theory for Rough Partial Differential Equations and Parabolic Comparison Revisited
with P. Friz and H. Oberhauser Springer Proceedings in Mathematics & Statistics, 2014.
A Lévy area between Brownian motion and rough paths with applications to robust nonlinear filtering and rough PDEs
with H. Oberhauser and S. Riedel Stochastic Processes and their Applications, 2014.
Robustness in stochastic filtering and maximum likelihood estimation for SDEs
with P. Friz, H. Mai, H. Oberhauser, R. Riedel and W. Stannat Extraction of Quantifiable Information from Complex Systems, Springer, 2014.
Robust Filtering: Correlated Noise and Multidimensional Observation
with D. Crisan, P. Friz and H. Oberhauser Annals of Applied Probability, 2013.
Backward stochastic differential equations with rough drivers
with P. Friz Annals of Probability, 2012.