Gergely Kiss's homepage

About me

I am a Research Fellow at Alfréd Rényi Institute of Mathematics.

Contact

Curriculum Vitae

Identifiers: ARXIV, ORCID, ResearchGate, GoogleScholar.

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Research interests

Exponential Bases, Fourier Analysis on Locally Compact Groups, Spectral Theory, Functional Equations, Discrete and classical Geometry, Measure Theory, Decomposition of Sets

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Event:

Fourier Analysis and Additive Problems - 2024 Spring

Subevents:

Summer School: Additive Combinatorics

Winter workshop: Fourier Analysis and its applications

Summer workshop: Additive Combinatorics and Fourier analysis

Past events

Harmonic Analysis and Synthesis (HSA 2021)

Harmonic Analysis and Synthesis (HSA 2020)

International Symposium on Aggregation and Structures (ISAS 2016)

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Editorial work

Editor at Periodica Mathematica Hungarica

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PhD

Eötvös Loránd University, Budapest
Supervisor: Laczkovich Miklós
Thesis: Linear functional equations

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Teaching

Teaching 2020-2023 at Eötvös Loránd University, Budapest

Earlier semesters

Teaching at Budapest University of Technology and Economics

Teaching at University of Luxembourg

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Publications

• Isometric rigidity of the Wasserstein space over the plane with the maximum metric, (with Zoltán M. Balogh, Tamás Titkos, Dániel Virosztek), submitted 2024, ArXiv preprint arXiv:2411.07051. (pdf-file)


• Functional tilings and the Coven-Meyerowitz tiling conditions, (with Itay Londner, Máté Matolcsi, Gábor Somlai), submitted 2024, ArXiv preprint arXiv:2411.03854. (pdf-file)


• A lonely weak tile, (with Itay Londner, Máté Matolcsi, Gábor Somlai), accepted at Expositiones, (2024). ArXiv preprint arXiv:2410.04948. (pdf-file)


• Solutions to the discrete Pompeiu problem and to the finite Steinhaus tiling problem, (with Miklós Laczkovich), submitted 2024, ArXiv preprint arXiv:2403.01279. (pdf-file)


• Decompositions of the positive real numbers into disjoint sets closed under addition and multiplication, (with Tamás Terpai, Gábor Somlai), Journal of Algebra 664:B, 511-533, (2025). ArXiv preprint arXiv:2303.16579. (pdf-file)


• Special directions on the finite affine plane, (with G. Somlai), Designs, Codes and Cryptography 92, 2587–2597, (2024). ArXiv preprint arXiv:2109.13992. (pdf-file)


• Polynomial equations for additive functions II., The mixed parameter case, (with Eszter Gselmann), Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 118:112, (2024), ArXiv preprint arXiv:2303.03306. (pdf-file)


• Polynomial equations for additive functions I., The inner parameter case, (with E. Gselmann), Results in Mathematics 79:63, (2024). ArXiv preprint arXiv:2211.03605. (pdf-file)


• On polynomials of small range sum, (with Ádám Markó, Zoltán Lóránt Nagy, Gábor Somlai), submitted 2023, ArXiv preprint arXiv:2311.06136. (pdf-file)


• Spectral Tile Direction in the Group Z_{p^2}×Z_{q^2}×Z_r, (with Thomas Fallon, Azita Mayeli, Gábor Somlai), submitted 2023, ArXiv preprint arXiv:2308.16277. (pdf-file)


• Tiling and weak tiling in (Z_p)^d, (with D. Matolcsi, M. Matolcsi, G. Somlai), Sampling Theory, Signal Processing, and Data Analysis 22:1, (2023), ArXiv preprint arXiv:2212.05513. (pdf-file)


• Sincov's and other functional equations and negative interest rates, (with J. Schwaiger), Aequationes Mathematicae 97(3), 629-637, (2023). (pdf-file)


• A dichotomy result for strictly increasing bisymmetric maps, (with P. Burai, P. Szokol), Journal of Mathematical Analysis and Applications 526(2), 127269, (2023). (pdf-file)


• Optimal embedded and enclosing isosceles triangles (with A. Ambrus, M. Csikós, J. Pach, G. Somlai), International Journal of Foundations of Computer Science 34 (7), (2023). (pdf-file)


• Translation invariant linear spaces of polynomials, (with M. Laczkovich), Fundamenta Mathematicae 260, 163-179, (2023). (pdf-file)


• Isometric rigidity of Wasserstein spaces: the graph metric case, (with T. Titkos), Proc. Amer. Math. Soc. 150, 4083-4097, (2022). (pdf-file) (published)


• 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)


• 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)


• Separately Polynomial functions, (with M. Laczkovich), Monathshefte fur Mathematik 197, 125-135, (2022). (pdf-file) (published)


• Nonstandard n-distance based on certain geometric constructions, (with J-L. Marichal), in press Beiträge zur Algebra und Geometrie 64(1), 107-126, (2023). (pdf-file)


• 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)


• 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)


• 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)