In the summer of 2025, we provided research and study opportunity for Hungarian university students in mathematics. Three groups of four or five students took part in the research programme and three groups of 2-5 students took part in the study programme.
Results presented at the Faculty TDK Conference in 2025:
Gábriel Tamás, Melján Dávid: The extensible no-k(n)-in-line problem when k(n) = nα — 1st prize
Jánosik Máté, Nádor Benedek: Extensible no-k(n)-in-line when k(n) = cn — 1st prize
Kepes Máté Róbert, Robin Eszter: Small 3-fold blocking sets in PG(2, pn) — 1st prize
ArXiv preprints related to REU 25:
B. Csajbók , M. R. Kepes, E. M. Robin, B. Sógor, S. Wang, E. Williams: Small 3-fold blocking sets in PG(2, pn) (2025), https://arxiv.org/abs/2512.24689
REU 24
In the summer of 2024, we provided research opportunity for Hungarian and foreign university students in mathematics. Five groups of four or five students took part in the programme.
Results presented at the Faculty TDK Conference in 2024:
Fazekas Péter László, Szepesi Balázs, Szepessy Sára: Permutons and entropy — 1st prize
Jörg Áron: Estimating the number of rods in a new knot family — 2nd prize
Results presented at the National OTDK Conference in 2025:
Fazekas Péter László, Szepesi Balázs, Szepessy Sára: Permutons and entropy — participation
Jörg Áron: Estimating the number of rods in a new knot family — participation
REU 23
In the summer of 2023, we provided research opportunity for Hungarian university students in mathematics. Seven groups of three or four students took part in the programme.
Webpage of REU 23 (in Hungarian)
Results presented at the Faculty TDK Conference in 2023:
Fleiner Zsigmond György, Juhász Márk Hunor, Kövér Blanka: Product representation of perfect cubes — 1st prize
Hegedűs Dániel, Jánosik Áron, Osztényi József: Extremal spectral graph theory — 1st prize
Results presented at the National OTDK Conference in 2025:
Fleiner Zsigmond György, Juhász Márk Hunor, Kövér Blanka: Product representation of perfect cubes — 2nd prize
Hegedűs Dániel, Jánosik Áron, Osztényi József: Extremal spectral graph theory — 3rd prize
Publications related to REU 23:
Fleiner, Z. G., Juhász, M. H., Kövér, B., Pach, P. P., & Sándor, C. (2026). Product representation of perfect cubes. European Journal of Combinatorics, 134, 104342. https://www.sciencedirect.com/science/article/pii/S0195669826000107
REU 22
In the summer of 2022, we provided research opportunity for Hungarian university students in mathematics. Six groups of three or four students took part in the programme.
Webpage of REU 22 (in Hungarian)
Results presented at the Faculty TDK Conference in 2022:
Füredi Erik: Számtani sorozatokat nem tartalmazó halmazok — 1st prize
Encz Koppány, Marits Márton, Váli Benedek, Weisz Máté: Extremal graph theoretical questions in q-graphs — 2nd prize
Results presented at the National OTDK Conference in 2023:
Füredi Erik: Számtani sorozatokat nem tartalmazó halmazok — special award
Publication related to REU 22:
Elsholtz, C., Führer, J., Füredi, E., Kovács, B., Pach, P. P., Simon, D. G., Velich, N.: Maximal line-free sets in 𝔽pn , Period Math Hung 90, 7–21 (2025). https://link.springer.com/article/10.1007/s10998-024-00617-x
ArXiv preprints related to REU 22:
Németh, B., Kövér, B., Kulcsár, B., Miklósi, R. B., Gilyén, A.: On variants of multivariate signal processing and their characterisations (2023), https://arxiv.org/abs/2312.09072
REU 21
In the summer of 2021, we provided research opportunity for Hungarian university students in mathematics. Seven groups of three or four students took part in the programme.
Webpage of REU 21 (in Hungarian)
Results presented at the Faculty TDK Conference in 2021:
Beke Csongor, Csáji Gergely, Pituk Sára: A Tutte polinom egy alternatív megközelítése — 1st prize
Beke Márton, Borbényi Márton, Szemerédi Levente: Körgráfok véletlen módosításainak aszimptotikus spektrálanalízise — 1st prize
Imolay András: Multicolor Turán numbers — 1st prize
Sándor Csaba, Baja Zsolt, Dobák Dani, Kovács Benedek, Pigler Donát: Monochromatic roots of polynomials — 1st prize
Bursics Balázs, Csonka Bence, Szepessy Luca: Hipergráfok lefogása és színezése — 2nd prize
Jánosik Áron, Miklós Csenge, Simon Dániel Gábor, Zólomy Kristóf: Alpern-féle keresési játék és változatai — 2nd prize
Kocsis Anett, Matolcsi Dávid: Multiplikatív komplementumok — 2nd prize
Results presented at the National OTDK Conference in 2023:
Beke Márton, Borbényi Márton, Szemerédi Levente: Körgráfok véletlen módosításainak aszimptotikus spektrálanalízise — 1st prize
Beke Csongor, Csáji Gergely, Pituk Sára: A Tutte polinom egy alternatív megközelítése — 2nd prize
Sándor Csaba, Baja Zsolt, Dobák Dani, Kovács Benedek, Pigler Donát: Monochromatic roots of polynomials — 2nd prize
Imolay András: Multicolor Turán numbers — special award
Bursics Balázs, Csonka Bence, Szepessy Luca: Hipergráfok lefogása és színezése — participation
Jánosik Áron, Miklós Csenge, Simon Dániel Gábor, Zólomy Kristóf: Alpern-féle keresési játék és változatai — participation
Publications related to REU 21:
Baja, Zs., Dobák, D., Kovács, B., Pach, P. P., Pigler, D.: Towards characterizing the 2-Ramsey equations of the form ax+ by= p(z), Discrete Mathematics 346:5 (2023) 113324. https://www.sciencedirect.com/science/article/pii/S0012365X23000109
Beke, Cs., Csáji, G. K., Csikvári, P., Pituk, S.: Short proof of a theorem of Brylawski on the coefficients of the Tutte polynomial, European Journal of Combinatorics 110 (2023) 103678. https://www.sciencedirect.com/science/article/pii/S0195669822001743
Imolay, A., Karl, J., Nagy, Z. L., Váli, B.: Multicolor Turán numbers, Discrete Mathematics 345:9 (2022) 112976. https://www.sciencedirect.com/science/article/pii/S0012365X22001820
Beke, Cs., Csáji, G. K., Csikvári, P., Pituk, S.: Permutation Tutte polynomial, European Journal of Combinatorics 120 (2024), 104003 https://www.sciencedirect.com/science/article/pii/S019566982400088X
Beke, Cs., Csáji, G. K., Csikvári, P., Pituk, S.: The Merino—Welsh conjecture is false for matroids, Advances in Mathematics 446 (2024), 109674 https://www.sciencedirect.com/science/article/pii/S0001870824001890
Jánosik, Á., Miklós, Cs., Simon, D. G., Zólomy, K.: Caching and accumulation games, International Game Theory Review 27 (3), 2025 https://www.worldscientific.com/doi/10.1142/S0219198925500057
Kocsis, A., Matolcsi, D., Sándor, Cs., Tőtős, Gy.: Multiplicative complements I, Acta Arith., 207 (2) (2023) https://arxiv.org/abs/2204.00412
Kocsis, A., Matolcsi, D., Sándor, Cs., Tőtős, Gy.: Multiplicative complements, II. , J. Number Theory 265 (2024). https://www.sciencedirect.com/science/article/pii/S0022314X24001458
ArXiv preprints related to REU 21:
Bursics, B., Csonka, B., Szepessy, L.: Hitting sets and colourings of hypergraphs (2023), https://arxiv.org/abs/2307.12154
REU 20
In the summer of 2020, we provided research opportunity for Hungarian BSc students in mathematics. Five groups of three or four students took part in the programme.
Webpage of REU 20 (in Hungarian)
Results presented at the Faculty TDK Conference in 2020:
Alexy Marcell, Borbényi Márton, Imolay András: A Szabad Uniform Feszítőerdő összefüggősége az élsúlyozás függvényében - 1st prize
Bursics Balázs, Matolcsi Dávid, Schrettner Jakab: Extremális halmazok, derékszögek és Hamming-távolságok - 1st prize
Fraknói Ádám, Márton Dávid, Simon Dániel: Optimális adaptív keresés kis kapacitású, megbízhatatlan tesztekkel - 1st prize
Kovács Benedek: Páronként diszjunkt vektorpátok keresése 𝔽2n-ben előírt különbségsorozattal - 1st prize
Schweitzer Ádám, Szabó Kristóf: Combinatorial approach to Weyl groups - 1st prize
Results presented at the National OTDK Conference in 2021:
Kovács Benedek: Páronként diszjunkt vektorpátok keresése 𝔽2n-ben előírt különbségsorozattal — 2nd prize
Alexy Marcell, Borbényi Márton, Imolay András: A Szabad Uniform Feszítőerdő összefüggősége az élsúlyozás függvényében — 3rd prize
Bursics Balázs, Matolcsi Dávid, Schrettner Jakab: Extremális halmazok, derékszögek és Hamming-távolságok — participation
Fraknói Ádám, Márton Dávid, Simon Dániel: Optimális adaptív keresés kis kapacitású, megbízhatatlan tesztekkel — participation
Publications related to REU 20:
Alexy, M., Borbényi, M., Imolay, A., Timár, Á.: Connectedness of the Free Uniform Spanning Forest as a function of edge weights, Electron. Commun. Probably. 27: 1-12 (2022). https://projecteuclid.org/journals/electronic-communications-in-probability/volume-27/issue-none/Connectedness-of-the-Free-Uniform-Spanning-Forest-as-a-function/10.1214/22-ECP453.full
Bursics, B., Matolcsi, D., Pach, P. P., Schrettner, J.: Avoiding right angles and certain Hamming distances, Linear Algebra and its Applications 677 (2023) 71-87. https://www.sciencedirect.com/science/article/pii/S002437952300294X
Fraknói, Á. X., Márton, D. Á., Simon, D. G., Lenger, A. D.: On the Rényi-Ulam game with restricted size queries, Discrete Optimisation 48:1 (2023) 100772. https://www.sciencedirect.com/science/article/pii/S1572528623000142
Kovács, B.: Finding a perfect matching of 𝔽2n with prescribed differences , Ars Math. Contemp. 26 (2026) https://amc-journal.eu/index.php/amc/article/view/3265
MiniREU 19
In the summer of 2019, we provided research opportunity for a group of three Hungarian BSc students studying mathematics at the University of Cambridge, supported by Grant 2018-2.1.7-UK_GYAK-2019. The workshop was organised by the MTA-ELTE Lendület Combinatorial Geometry Research Group, with the leadership of Dömötör Pálvölgyi, and by Dániel Lenger, the manager of the programme.