Important Dates

Topic selection deadline:

Feb. 28, 2026 (Saturday)

Report submission deadline:

May 17, 2026 (Sunday)

Miniconf date:

T.B.A.

The aim of the course is to encourage the students to work independently on a topic of their choice (under the guidance of a supervisor). At the end of the semester, the work is presented in a written report and in the form of an oral presentation. These reports and the opinion of the supervisor determine the grade received.

Students must choose a topic and a supervisor. Please contact the supervisor of the topics you are interested in as soon as possible. It is recommended to write a short introductory letter to the supervisor. The choice of the topic must be finalized by February 28, and have it approved by the supervisor. This should be indicated (including the supervisor) by an e-mail to at the address above.

A written report of 2, 5 and 10 pages (1st, 2nd and 3rd semester, resp.) has to be prepared, summarizing the work during the semester must be prepared and an oral presentation is to be given at the end of the semester in 5, 10 and 15 minutes. The grade is awarded based on these and the supervisor's opinion.

The goal of the course is to involve Mathematics MSc students in research. Depending on the subject area, this can be achieved in several ways. There are areas of mathematics where it is possible to tackle unsolved problems with only BSc-level knowledge. Conversely, there are branches of mathematics where understanding unsolved problems requires years of study. In these areas, the goal of the course is to begin this learning process through the thorough study of book chapters and articles.

Specific requirements: Every student must choose a supervisor at the beginning of the semester and work with them throughout the term. By the end of the study period, students must complete a 3-5 page report on their research topic and any (partial) results. In addition to the report, the achieved results or the reviewed literature must be presented in a 10-minute presentation. Both the report and the presentation slides must be uploaded to the website.

Projects in this semester

Student	Course	Title	Advisor
Gurin Tünde Orsolya	A2	Cosmological polytopes	Tóthmérész Lilla
Gyebnár Márton Bálint	A2	Epidemics on Hypergraphs	Simon Péter
Hoffmann Szabolcs	A2	Exploring Planet-Scale Image Geolocation with PIGEON	Pásztor Adél Lukács András
Horlik Zalán Zoltán	A2	Spectral analisys of Lake Balaton seiche	Dr. Krámer Tamás
Jia Sidan	A2	The Hamiltonian Structure of the Korteweg–de Vries Equation	Izsák Ferenc
Juhász Márk Hunor	A2	Optimization problems in temporal graphs	Madarasi Péter
Kinyó Kincső	A2	The nucleolus and related notions in cooperative games	Király Tamás
Király Bálint Dániel	A2	Kvantumgráfok	Császár Attila Géza
Koleszár Domonkos	A2	The activity of the stochastic chip-firing game	Tóthmérész Lilla
Kovács Fruzsina Édua	A2	Communication complexity problem	Hegyvári Norbert
Láng Kristóf Ágoston	A2	Power Spectral Analysis of seiches in lake Fertő	Dr. Krámer Tamás
Micskó Máté Benedek	A2	Cost sharing methods in transportation problems	Király Tamás
Luyanda Mjiyakho	A2	Multimodal Forecasting of Stock Prices using GPT-2 Embeddings and Dynamic Graph Networks.	Csiszárik Adrián
Mohay Lili Veronika	A2	Application of arborescence packing	Király Csaba
Molnár András Gergő	A2	Analysis of Stochastic Processes with Neural Networks	Lukács András
Molnár-Sáska Zoltán Gábor	A2	Monochromatic Monotone Path Problems and (3, 2)-Sequences	Damásdi Gábor
Nguyen Khac Huy	A2	Machine Learning-Based X-Ray Diffraction Analysis for Nanostructure Characterization	Lukács András
Petőfi Bori	A2	Multitype branching processes for modeling complex contagion on social networks	Michaletzky György
Régely Gábor Balázs	A2	Neural Collapse in Quantised Neural Networks	Lukács András Rainie Heck
Somogyi Dalma	A2	Korszerű Statisztikai Módszerek Alkalmazása Klinikai Orvosi és Genetikai Kutatásokban	Firneisz Gábor
Szathmári Gergely Márton	A2	Hoist Scheduling Problem	Horváth Márkó
Szepesi Balázs	A2	Vertex matroid families	Imolay András
Takács Tamás	A2	Subgraph isomorphism problems	Madarasi Péter
Temesvári Ádám	A2	Stability properties of Runge-Kutta-methods	Havasi Ágnes
Leonardo Toffalini	A2	Algorithmic Trading with Reinforcement Learning	Lukács András
Varga Dániel	A2	Akusztikai feladatok megoldása neurális hálókkal	Bakos Bence Lukács András
Éles Júlia	A2	Linear extensions of partially ordered sets	Madarasi Péter
Barabás Eszter	A3	Conformal Prediction	Csáji Balázs Csanád
Gyenizse-Nagy András Barnabás	A3	Chromatic number of odd distance graphs on a circle	Damásdi Gábor
Gyimesi Péter	A3	Módosított Bellman–Ford algoritmus arbitrázs kereséshez	Bérczi-Kovács Erika Renáta Tapolcai János
Imre Balázs	A3	Sports Analytics with Statistical Learning	Csáji Balázs Csanád
Begis Karamatdinov	D1	Fundamental Groups and Simplicial Complexes	Szabó Szilárd
Muhammad Hamza	D2	Chaos-Based Image Encryption Enhanced by Deep Learning	Lukács András
Begis Karamatdinov	D2	Manifolds	Szabó Szilárd
Naranjo Morales Beimar Jose	D2	(p,q)-Type Theorems in Geometric Settings	Pálvölgyi Dömötör
Benedek Sára	M2	Introduction to differential topology 2	Némethi András
Bónyai Péter	M2	Szingularitások topologikus jellemzői 2	Ágoston Tamás
Fazekas Sándor	M2	Stable packing of planar convex bodies	Naszódi Márton
Fogarasi András	M2	Komplex varietások Hodge elmélete	Tóth Árpád
Földesi András János	M2	P-adic numbers and p-adic analysis 2	Pál Ambrus
Gyetvai Miklós	M2	Egység távolságú gráfok 2	Pálvölgyi Dömötör
Györgypál Gergő	M2	Gömbök kifordítása 2	Fehér László
Györgypál Tamás	M2	Cayley-gráfok sajátértékei 2	Somlai Gábor
Ivanyos János Balázs	M2	Q-spaces	Soukup Lajos
Jánosik Máté	M2	Síkgráfok és antisíkgráfok geometriai reprezentációi	Damásdi Gábor
Jörg Máté Áron	M2	Félcsoportalgebrák	Ágoston István
Kempf Alex	M2	Szürreális számok	Komjáth Péter
Kozári Dominik	M2	Projektív Fraissé elmélet	Pálfy Máté
Metzger Ábris András	M2	Idempotens osztógyűrűk	Ágoston István
Páhán Anita Dalma	M2	Beágyazási aktivitás, szalaggráf Tutte-polinom	Tóthmérész Lilla
Robin Eszter Melinda	M2	Galois-elmélet	Tóth Árpád
Simonyi Alex Dániel	M2	Elemrendek eloszlása véges csoportokban	Halasi Zoltán
Szabó Blanka	M2	Norine hiperkocka sejtése	Damásdi Gábor
Szabó Eszter	M2	Kvantum Wasserstein terek izometriái	Virosztek Dániel
Szepessy Sára	M2	Permutációlimeszek és entrópiafogalmak	Maga Balázs
Szőke Gergely	M2	Sztochasztikus folyamatok csoportokon és gráfokon	Tóth László Márton