About me
I am a Postdoctoral Research Fellow at Alfréd Rényi Institute of Mathematics.
Contact
Curriculum Vitae
Identifiers: ARXIV, ORCID, ResearchGate,
GoogleScholar.
Research interests
Exponential Bases, Fourier Analysis on Locally Compact Groups, Spectral Theory, Functional Equations, Discrete and classical Geometry, Measure Theory, Decomposition of Sets
Events
Main Organizer of Harmonic Analysis and Synthesis (HSA 2021)
Past events
Harmonic Analysis and Synthesis (HSA 2020)
International Symposium on Aggregation and Structures
(ISAS 2016)
Editorial work
Editor at Periodica Mathematica Hungarica
PhD
Eötvös Loránd University, Budapest
Supervisor: Laczkovich Miklós
Thesis: Linear functional equations
Teaching
Teaching 2020-2021 at Eötvös Loránd University, Budapest
Earlier semesters
Teaching at Budapest University of Technology and Economics
Teaching at University of Luxembourg
Publications (Tematic list is here)
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Tiling and weak tiling in (Z_p)^d, (with D. Matolcsi, M. Matolcsi, G. Somlai), submitted,
ArXiv preprint arXiv:2212.05513. (pdf-file)
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Polynomial equations for additive functions I., (with E. Gselmann), submitted,
ArXiv preprint arXiv:2211.03605. (pdf-file)
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Sincov's and other functional equations and negative interest rates, (with J. Schwaiger), submitted,
ArXiv preprint arXiv:2210.02250. (pdf-file)
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A dichotomy result for strictly increasing bisymmetric maps, (with P. Burai, P. Szokol), submitted,
ArXiv preprint arXiv:2208.07083. (pdf-file)
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Optimal embedded and enclosing isosceles triangles, submitted, (with A. Ambrus, M. Csikós, J. Pach, G. Somlai), submitted,
ArXiv preprint arXiv:2205.11637. (pdf-file)
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Special directions on the finite affine plane, (with G. Somlai), submitted,
ArXiv preprint arXiv:2109.13992. (pdf-file)
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Translation invariant linear spaces of polynomials,
(with M. Laczkovich), accepted at Fundamenta Mathematicae, (2022). (pdf-file)
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Isometric rigidity of Wasserstein spaces: the graph metric case, (with T. Titkos),
Proc. Amer. Math. Soc. 150, 4083-4097, (2022). (pdf-file) (published)
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Spectral sets and tiles in (Z_p)^2 x (Z_q)^2, (with T. Fallon, G. Somlai),
Journal of Functional Analysis
Volume 282 (12), 109472, (2022). (pdf-file) (published)
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Fuglede's conjecture holds for cyclic groups of order pqrs, (with R.D. Malikiosis, G. Somlai, M. Vizer),
Journal of Fourier Analysis and Applications, 28:79, (2022). (pdf-file)
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Separately Polynomial functions, (with M. Laczkovich),
Monathshefte fur Mathematik 197, 125-135, (2022). (pdf-file) (published)
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Nonstandard n-distance based on certain geometric constructions, (with J-L. Marichal), in press
Beiträge zur Algebra und Geometrie (2022). (pdf-file)
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Characterization of quasi-arithmetic means without regularity condition, (with P Burai, P Szokol),
Acta Math. Hung. 165, 474-485 (2021) (pdf-file)
- Fuglede's conjecture holds on (Z_p)^2 x Z_q, (with G. Somlai),
Proc. Amer. Math. Soc. 149, 4181-4188, (2021). (pdf-file)
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Minimum area isosceles containers, (with J. Pach, G. Somlai), Journal of Information Processing 28, 759-765, (2020). (pdf-file)
- On the discrete Fuglede and Pompeiu problems, (with R.D. Malikiosis, G. Somlai, M. Vizer),
Analysis & PDE 13 (3), 765-788, (2020). (pdf-file)
- Remarks on the notion of homo-derivations, (with E. Gselmann),
Annales Universitatis Scientiarum Budapestinensis
de Rolando Eötvös Nominatae. Sectio Computatorica 51, 111-130, (2020). (pdf-file)
- On a class of linear functional equations without range condition, (with E. Gselmann, Cs. Vincze),
Aequationes mathematicae 94, 473-509, (2020). (pdf-file)
- Visual characterization of associative quasitrivial nondecreasing functions on finite chains,
Fuzzy Sets and Systems 395, 71-92, (2020).
(pdf-file)
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On the best constants associated with n-distances, (with J-L. Marichal),
Acta Mathematica Hungarica, 1-25, (2020).
(pdf-file)
- Characterization of field homomorphisms through Pexiderized functional equations, (with E. Gselmann, Cs. Vincze),
Journal of Difference Equations and Applications 25 no.12, 1645-1679, (2019). (pdf-file)
- Associative idempotent nondecreasing functions are reducible, (with G. Somlai),
Semigroup Forum 98 (1), 140-153, (2019).
(pdf-file)
- Characterizations of biselective operations,
(with J. Devillet), Acta Mathematica Hungarica 157 (2), 387-407, (2019).
(pdf-file)
- Characterizations of quasitrivial symmetric nondecreasing associative operations, (with J. Devillet, J-L. Marichal),
Semigroup Forum 98 (1), 154-171, (2019).
(pdf-file)
- The discrete Pompeiu problem on the plane, (with M. Laczkovich, Cs. Vincze)
Monatshefte fur Matematik 186 (2), 299-314, (2018). (pdf-file)
- Pointwise regularity of parameterized affine zipper fractal curves
fractal curves, (with B. Barany, I. Kolossvary), Nonlinearity 31 (5), 1705-1733, (2018).
(pdf-file)
- A characterization of n-associative, monotone,
idempotent functions on an interval that have
neutral elements, (with G. Somlai),
Semigroup Forum 96 (3), 438-451, (2018).
(pdf-file)
- A generalization of the concept of distance based on the simplex inequality, (with J-L. Marichal, B. Teheux),
Beiträge zur Algebra und Geometrie/Contributions to Algebra and Geometry 59 no.2,
247-266, (2018). (pdf-file)
- On functional equations characterizing derivations: methods and examples, (with E. Gselmann, Cs. Vincze)
Results in Mathematics volume 73, Article number: 74 (2018). (pdf-file)
- Derivations and differential operators on rings and fields, (with M. Laczkovich) Annales Universitatis Scientiarum Budapestinensis
de Rolando Eötvös Nominatae. Sectio Computatorica 48, 31-43, (2018). (pdf-file)
- On spectral analysis in varieties containing the solutions of inhomogeneous linear functional equations, (with Cs. Vincze)
Aequat. Math. 91 (4), 663-690, (2017).
(pdf-file)
- On spectral synthesis in varieties containing the solutions of inhomogeneous linear functional equations, (with Cs. Vincze)
Aequat. Math. 91 (4), 691-723, (2017).
(pdf-file)
- Decomposition of balls in R^d, (with G. Somlai)
Mathematika 62, no.2, 378-405, (2016).
(pdf-file)
- Linear functional equations, differential operators
and spectral synthesis, (with M. Laczkovich)
Aequat. Math. 89 (2), 301-328, (2015).
(pdf-file)
- Algebraic methods for the solution of linear
functional equations, (with A. Varga, Cs. Vincze)
Acta Math. Hungar. 146 (1), 128-141, (2015).
(pdf-file)
- Linear functional equations (Ph. D. abstract), Annales Univ. Sci. Budapest, 58, 125-132, (2015).
(pdf-file)
- Linear functional equations with algebraic parameters, Publ. Math. Debrecen 85, no.1-2, (2014).
(pdf-file)
- How large dimension guarantees a given angle?
(with V. Harangi, T. Keleti, P. Maga, A. Mathe, P. Mattila, B. Strenner)
Monatshefte fur Matematik 171 (2), 169-187, (2013).
(pdf-file)
- Existence of nontrivial solutions of linear functional equations,
(with A. Varga)
Aequat. Math. 88, 151-162, (2013).
(pdf-file)
- Decomposition of balls into finitely many pieces, (with M. Laczkovich)
Mathematika 57, no.1, 89-107, (2011).
(pdf-file)