Project Work 2025/26 II. félév

For any questions about the course, please contact math-projects@ttk.elte.hu

Important Dates

Topic selection deadline:
Feb. 28, 2026 (Saturday)
Report submission deadline:
May 17, 2026 (Sunday)
Miniconf date:
June 3, 2026 - June 4, 2026

Project Work

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.

Directed Studies

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.

Microsoft Teams links

Miniconf Program

June 3, 2026

Place: ELTE Déli tömb 3-218.
Visit online: Microsoft Teams Link

9 a.m. -- 11:05 a.m.

9 a.m. M2 The Galois theory of étale algebras Robin Eszter Melinda Tóth Árpád
9:15 a.m. M2 Projective algebraic plane curves Benedek Sára Némethi András
9:30 a.m. M2 Szingularitások topologikus jellemzői 2 Bónyai Péter Ágoston Tamás
9:45 a.m. M2 Cayley-gráfok sajátértékei 2 Györgypál Tamás Somlai Gábor
10 a.m. M2 Rees-mátrix félcsoportok automorfizmusai Jörg Máté Áron Ágoston István
10:15 a.m. M2 Idempotens osztógyűrűk-második felvonás Metzger Ábris András Ágoston István
10:30 a.m. M2 On the values of Landau’s function Simonyi Alex Dániel Halasi Zoltán
10:45 a.m. A3 Conformal Prediction Barabás Eszter Csáji Balázs Csanád

11:30 a.m. -- 1:50 p.m.

11:30 a.m. M2 Síkgráfok és antisíkgráfok geometriai reprezentációi Jánosik Máté Damásdi Gábor
11:45 a.m. M2 Élszínezési kérdések a hiperkockán Szabó Blanka Damásdi Gábor
noon M2 Random walks on graphs and electric networks Szőke Gergely Tóth László Márton
12:15 p.m. M2 Alternative definition for the ribbon graph polynomial Páhán Anita Dalma Tóthmérész Lilla
12:30 p.m. A2 Dissections of root polytopes Gurin Tünde Orsolya Tóthmérész Lilla
12:45 p.m. A2 The activity of the stochastic chip-firing game Koleszár Domonkos Tóthmérész Lilla
1 p.m. D2 (p,q)-Type Theorems in Geometric Settings Naranjo Morales Beimar Jose Pálvölgyi Dömötör
1:15 p.m. A3 Chromatic number of odd distance graphs on a circle and geodetic angle decomposition Gyenizse-Nagy András Barnabás Damásdi Gábor
1:35 p.m. A2 Kvantumgráfok Király Bálint Dániel Császár Attila Géza

3 p.m. -- 5 p.m.

3 p.m. M2 Hodge theory Fogarasi András Tóth Árpád
3:15 p.m. M2 Permutons and entropy Szepessy Sára Maga Balázs
3:30 p.m. M2 Stable packing of planar convex bodies Fazekas Sándor Naszódi Márton
3:45 p.m. M2 Dwork's theorem on the zeta-functions of affine hypersurfaces Földesi András János Pál Ambrus
4 p.m. M2 Gömbök kifordítása 2 Györgypál Gergő Fehér László
4:15 p.m. M2 Q-spaces Ivanyos János Balázs Soukup Lajos
4:30 p.m. M2 Szürreális számok Kempf Alex Komjáth Péter
4:45 p.m. M2 Projektív Fraissé elmélet Kozári Dominik Pálfy Máté

June 4, 2026

Place: ELTE Déli tömb 3-218.
Visit online: Microsoft Teams Link

9 a.m. -- 11 a.m.

9 a.m. D2 Chaos-Based Image Encryption Enhanced by Deep Learning Muhammad Hamza Lukács András
9:15 a.m. A2 Exploring Planet-Scale Image Geolocation with PIGEON Hoffmann Szabolcs Pásztor Adél
Lukács András
9:30 a.m. A2 Analysis of Stochastic Processes with Neural Networks Molnár András Gergő Lukács András
9:45 a.m. A2 Machine Learning-Based X-Ray Diffraction Analysis for Nanostructure Characterization Nguyen Khac Huy Lukács András
10 a.m. A2 Algorithmic Trading with Reinforcement Learning Leonardo Toffalini Lukács András
10:15 a.m. A2 Akusztikai feladatok megoldása neurális hálókkal Varga Dániel Bakos Bence
Lukács András
10:30 a.m. A2 Neural Collapse in Quantised Neural Networks Régely Gábor Balázs Lukács András
Rainie Heck
10:45 a.m. A2 Multimodal Forecasting of Stock Prices using GPT-2 Embeddings and Dynamic Graph Networks. Luyanda Mjiyakho Csiszárik Adrián

11:30 a.m. -- 2 p.m.

11:30 a.m. A2 The Hamiltonian Structure of the Korteweg–de Vries Equation Jia Sidan Izsák Ferenc
11:45 a.m. A2 Epidemics on Hypergraphs Gyebnár Márton Bálint Simon Péter
noon A2 Spectral analisys of Lake Balaton seiche Horlik Zalán Zoltán Dr. Krámer Tamás
12:15 p.m. A2 Power Spectral Analysis of seiches in lake Fertő Láng Kristóf Ágoston Dr. Krámer Tamás
12:30 p.m. A2 Multitype branching processes for modeling complex contagion on social networks Petőfi Bori Michaletzky György
12:45 p.m. A2 Modern statistics in medical and genetic research Somogyi Dalma Firneisz Gábor
1 p.m. A2 In search of stability: Runge-Kutta methods and Richardson extrapolation Temesvári Ádám Havasi Ágnes
1:15 p.m. A2 Comparative Analysis of Single-Population Compartment Epidemiological Models Kovács Fruzsina Édua Simon Péter
1:30 p.m. A2 The nucleolus and related notions in cooperative games Kinyó Kincső Király Tamás
1:45 p.m. A2 Cost sharing methods in transportation problems Micskó Máté Benedek Király Tamás

3 p.m. -- 5:05 p.m.

3 p.m. A3 Időfüggő folyamok Gyimesi Péter Bérczi-Kovács Erika Renáta
Tapolcai János
3:20 p.m. A2 Linear extensions of partially ordered sets Éles Júlia Madarasi Péter
3:35 p.m. A2 Optimization problems in temporal graphs Juhász Márk Hunor Madarasi Péter
3:50 p.m. A2 Applications of arborescence packing Mohay Lili Veronika Király Csaba
4:05 p.m. A2 Hoist Scheduling Problem Szathmári Gergely Márton Horváth Márkó
4:20 p.m. A2 Graph Matroid Families Szepesi Balázs Imolay András
4:35 p.m. A2 Subgraph isomorphism problems Takács Tamás Madarasi Péter
4:50 p.m. A2 Chromatic Number of the Delaunay Graph with Respect to Axis-Parallel Rectangles Molnár-Sáska Zoltán Gábor Damásdi Gábor