1. Isometric rigidity of Wasserstein
spaces: the graph metric case
Proceedings of the American Mathematical Society, 2022
DOI: https://doi.org/10.1090/proc/15977 (with
G. Kiss)
2. The isometry group of
Wasserstein spaces: the Hilbertian
case
Journal of the London
Mathematical Society, 2022
DOI: https://doi.org/10.1112/jlms.12676 (with Gy.P. Gehér, and D.
Virosztek)
3. Isometric rigidity of Wasserstein tori and
spheres
Mathematika, 2022
DOI: https://doi.org/10.1112/mtk.12174 (with Gy.P. Gehér, and D.
Virosztek)
4. Isometric study of Wasserstein spaces - the real
line
Transactions of the
American Mathematical Society, 2020
DOI:
https://doi.org/10.1090/tran/8113 (with Gy.P. Gehér, and D.
Virosztek)
5. Operators
on anti-dual pairs: Generalized
Krein-von Neumann extension
Mathematische
Nachrichten, 2020
DOI: https://doi.org/10.1002/mana.201800431
(with Zs.
Tarcsay)
6. On isometric embeddings of
Wasserstein spaces - the discrete case
Journal of Mathematical Analysis
and Applications, 2019
DOI:
https://doi.org/10.1016/j.jmaa.2019.123435 (with Gy.P. Gehér, and D.
Virosztek)
7. Arlinskii's iteration and its
applications
Proceedings of the Edinburgh
Mathematical Society, 2019
DOI:
https://doi.org/10.1017/S0013091518000287
8. A characterisation of isometries
with respect to the Lévy-Prokhorov metric
Annali della Scuola Normale
Superiore di Pisa - Classe di Scienze, 2019
DOI: 10.2422/2036-2145.201702_011 (with Gy.P. Gehér)
9. A Simple Proof of the Lebesgue
Decomposition Theorem
The American Mathematical
Monthly, Taylor&Francis, 2015
DOI:
10.4169/amer.math.monthly.122.8.793
10. A Radon-Nikodym type theorem for
forms,
Positivity, 2013
DOI:
https://doi.org/10.1007/s11117-012-0209-1 (with Z.
Sebestyén)
Selected talks
21/11/2017 Lebesgue- and Radon--Nikodym type theorems
Formal Sciences Seminar, IST Austria
Klosterneuburg, Austria
28/11/2017 Extension of suboperators and the generalized
Schur complement
Functional Analysis Seminar, University of Oxford
Oxford, United Kingdom
19/06/2018 Characterisations of isometries
with respect to probability distances
Preservers: Modern Aspects and New Directions, Queen’s
University Belfast
Belfast, Northern Ireland
19/12/2018 Positive operators
on anti-dual pairs
2018 China-Korea International Conference on Matrix Theory
with Applications, Shanghai University
Shanghai,
China
29/01/2019 On the
isometry group of metric spaces of probability
measures
Researches on isometries as
preserver problems and related topics, Kyoto RIMS
Kyoto, Japan
08-12/07/2019 Positive operators on
anti-dual pairs: Parallel addition
ILAS 2019 - Invited Mini-Symposium:
Matrix Analysis
Rio de Janeiro, Brasil
17/02/2020
Isometries of Wasserstein
spaces
Rings, Modules and Matrices
Seminar, Lomonosov Moscow
State University
Moscow, Russia
17/11/2020
Isometries of
Wasserstein
spaces
Analysis
Seminar,
University of
Wisconsin-Madison
Madison, US
20-26/06/2021
Maps preserving absolute
continuity of positive
operators
8th European Congress of
Mathematics, MS: Recent
Developments on Preservers
Portoroz, Slovenia
23/11/2022 On the
Monge-Kantorovich distance
over concave base spaces
Real and Abstract Analysis
Seminar, Charles University
Prague, Czech Republic
Ph. D. Thesis
Decomposition theory of forms,
2016
Doctoral School of Mathematics,
Eötvös Loránd University
Memberships
- Public body of the Hungarian
Academy of Sciences
- János Bolyai
Mathematical Society
- European Mathematical Society
- American Mathematical Society
Workshop
and seminar organization
Thematic
semester at Erdős Cender (2022
Fall, Sept-Dec):
Optimal
Transport on Quantum Structures
(with J. Maas, S. Rademacher and D. Virosztek)
- School:
Sept 19-23, 2022 [poster]
Lecturers: E.A. Carlen (Rutgers
University), A.
Figalli (ETH Zurich), F. Golse (CMLS Ecole
Polytechnique), D. Trevisan (University of Pisa)
-
Invited speakers: P. Antonini (Università del
Salento), Z. Balogh (University of Bern), Y. Brenier
(Universite Paris-Saclay),
A. Capel (Universität Tübingen), E. Caglioti
(Sapienza University of Rome), Li Chen (University
of Mannheim, Germany),
N. Datta (University of Cambridge), G. De Palma
(University of Bologna), M. Eckstein
(Jagiellonian University), M. Iacobelli (ETH
Zurich),
L. Lafleche (UT Austin), L. Portinale
(Hausdorff Center for Mathematics Bonn), C. Rouzé
(TU Munich), D. Shlyakhtenko (UCLA),
M. Wirth (IST Austria) H. Zhang (IST Austria), K.
Zyczkowski (Polish Academy of Sciences)
-
- Focus
Event on the Geometry of Wasserstein Spaces:
November 28 - December 2, 2022
Ramón J. Aliaga (Universitat Politècnica de València),
Zoltán Balogh (University of Bern, Switzerland)
Nicolas Juillet (Université de Haute-Alsace), Eva
Pernecká (Czech Technical University in Prague)
Functional
Analysis and Operator Theory Webinar
– with an emphasis on preserver problems
and quantum information, 2020-21
(with Gy.P. Gehér and D. Virosztek)
Preserver
Webinar - an online
seminar series on preserver problems, 2020
(with Gy.P. Gehér and D.
Virosztek)
Analysis
Seminar of the Alfréd Rényi
Institute of Mathematics, 2019-2020
Preserver
Weekend in Szeged, 2019
(with L. Molnár)
