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Thesis topic proposal
 
Problems in Discrete and Convex Geometry

THESIS TOPIC PROPOSAL

Institute: Eötvös Loránd University, Budapest
mathematics and computing
Doctoral School of Mathematics

Thesis supervisor: Márton Naszódi
Location of studies (in Hungarian): ELTE, Institute of Mathematics, Dept. of Geometry
Abbreviation of location of studies: ELTE


Description of the research topic:

At the beginning of the research, the student learns about a number of current problems in geometry, and familiarizes themselves with relevant methods. Later on, they study questions of their choice. A few typical topics follow. How to cover the d-dimensional Euclidean space with translates of a given convex body? Quantitative versions of Helly's theorem. How to represent point sets in high-dimensional space in lower dimensions? For more information, you are encouraged to contact me at marton.naszodi@ttk.elte.hu

Required language skills: English
Number of students who can be accepted: 3

Deadline for application: 2023-05-31

 
All rights reserved © 2007, Hungarian Doctoral Council. Doctoral Council registration number at commissioner for data protection: 02003/0001. Program version: 2.2358 ( 2017. X. 31. )