Jan Vybíral

Research:	Research profiles:
CV (last change October 2022)	Google Scholar Profile
Publications	MathSciNet Profile offline version from May 2023
Editorial board: Journal of Complexity	Web of Science Profile from May 2023 and ResearcherID
	Research Gate Profile
	Scopus ID
	And something about the impact.

Lectures of Summer Term 2022/23 - CTU Prague:

Markovské procesy

Seminář

Lectures of Winter Term 2022/23 - CTU Prague:

Random processes

Theory of random matrices

Compressed sensing

Introduction to probability theory 1.

Otazky SZZ

Jan Vybíral

Department of Mathematics

Faculty of Nuclear Sciences and Physical Engineering

Czech Technical University

Trojanova 13

12000 Praha

Czech Republic

Jan Vybíral

Katedra matematiky

Fakulta jaderná a fyzikálně inženýrská

České vysoké učení technické v Praze

Trojanova 13

12000 Praha

Česká Republika

e-mail: jan.vybiral(here comes the AT sign)fjfi.cvut.cz.

What's new:

Preprint on Path regularity of Brownian motion and Brownian sheet (jointly with C. Schneider and H. Kempka) submitted
NAFSA 12, Slides of my talk on path regularity of Wiener process and Brownian motion
Spending the summer term (April-September) 2022 at TU Munich (Garching)
Preprint (jointly with A. Hinrichs, D. Krieg, and E. Novak) Lower bounds for integration and recovery in L2 was submitted
Preprint (jointly with with M. Fornasier and I. Daubechies) Identification of shallow neural networks by fewest samples appeared in IMA: Information and Inference
Lower bounds for the error of quadrature formulas for Hilbert spaces, jointly with A. Hinrichs, D. Krieg, and E. Novak, appeared in J. Compl.
Preprint Gelfand numbers of embeddings of Schatten classes, jointly with A. Hinrichs and J. Prochno, will appear in Math. Ann.
September 2020: QIND60, Sickel 65
July 2020, Siegmundsburg
Preprint A variant of Schur's product theorem and its applications appeared in Adv. Math.
Preprint On the volume of unit balls of finite-dimensional Lorentz spaces (jointly with Anna Doležalová) appeared in Journal of Approximation Theory
Oberwolfach, February 2-8, 2020
Winter school of AI; Lecture notes: Jan Drchal, lecture 1, Jan Drchal, lecture 2, Jan Drchal, lecture 3, Tomáš Pevný, Notebooky v Julii, Válav Šmídl, lecture 1, Václav Šmídl, lecture 2, Václav Šmídl, lecture 3
Second year of a seminar Mathematics for life, January 17, 2020
Summer School, University of Minho, Braga, September 9 - 13, 2019
Siegmundsburg 2019 (August 26-28) and Dagstuhl 2019 (August 18-23)
June 10-15, 2019: FSDONA
And the winner of the IBC Award 2019 is...
Survey on Entropy numbers of finite-dimensional embeddings (jointly with M. Kossaczka), available on arXiv, will appear in Expositiones Mathematicae
February 18-22, 2019: Cambridge, UK
Preprint (jointly with H. Tyagi) Learning non-smooth sparse additive models from point queries in high dimensions, available on arXiv, appeared in Constructive Approximation
Preprint (jointly with Mario Ullrich) Deterministic constructions of high-dimensional sets with small dispersion now available at arXiv

Teaching:

Lecture notes:

Script to the lecture on Random Matrices and Matrix Completion

Script to the lecture on Functional Analysis

Script to the lecture on Harmonic Analysis

Script to the lecture on Modern Approximation Theory

Selected topics (in Czech and in progress)

Advanced lectures:

S 2021/22: Harmonic Analysis - TU Munich
S 2021/22: Modern Approximation Theory - TU Munich
S 2021/22: Seminar on Information-based complexity - TU Munich
MAA4 - Cvičení
2021--: Uvod do pravdepodobnosti 1 - Czech Technical University
2017--: Markovské procesy - Czech Technical University
2018--: Teorie náhodných matic - Czech Technical University
2018--: Compressed Sensing - Czech Technical University
2017--: Teorie náhodných procesů - Czech Technical University
2017/18: Seminář ze základních vlastností prostorů funkcí - NMMA457 - Charles University
2016/17: Seminář ze základních vlastností prostorů funkcí - NMMA457 - Charles University
2016/17: Úvod do teorie interpolací 1 - NMMA533 a Úvod do teorie interpolací 2 - NMMA534 - Charles University
2016: Random Matrices and Matrix Completion - TU Berlin
W 2015/16: Fourierovské techniky v prostorech funkcí - NMMA801 (Fourier-analytic techniques in function spaces) - given by Prof. Sickel from Jena
W 2015/16: Neasymptotická analýza náhodných matic - NMMA587 (Non-asymptotic analysis of random matrices) - Charles University
W 2014/15: Compressed Sensing - Charles University
S 2013/14: Geometry of highdimensional spaces - TU Berlin
W 2013/14: Harmonic Analysis/Harmonische Analysis - TU Berlin
S 2012/13: Mathematical introduction to Compressed Sensing - TU Berlin
W 2012/13: Functional analysis II - Funktionalanalysis II - TU Berlin
S 2008/09: Modern Approximation Theory - FSU Jena

Basic courses:

2016/17: Matematická analýza I NMAF051 a Matematická analýza II NMAF052 - Charles University
2015/16: Matematická analýza I NMAF051 - Charles University
2014/15: Matematická analýza I NMAI054 a Matematická analýza II NMAI055 - Charles University

My current and former affiliations:
Czech Technical University
Faculty of Nuclear Sciences and Physical Engineering
TU Berlin BMS AFG Berlin
RICAM, Austrian Academy of Sciences
Function spaces group in Jena
Department of Analysis in Prague