ODT - THESIS TOPIC: Gábor Ivanyos: Graphs, algebra and algorithms


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Thesis topic proposal

Graphs, algebra and algorithms

THESIS TOPIC PROPOSAL

Institute: Budapest University of Technology and Economics
mathematics and computing
Doctoral School of Mathematics and Computer Sciences

Thesis supervisor: Gábor Ivanyos
Location of studies (in Hungarian): Department of Algebra, Institute of Mathematics, BME
Abbreviation of location of studies: BME

Description of the research topic:

The broad area of study covers analogies between graph theoreticconcepts and those from algebra, with emphasis on algorithmic aspects, including (computational) problems regarding various collections of matrices, e.g., associative and non-associative matrix algebras, quantitative and structural invariants of tuples of matrices. Importance of such investigations is demonstrated by a recent breakthrough in (computational) the theory of polynomial invariants matrix tuples with connections to surprisingly various areas of mathematics such as theory of non-commutative fields, geometry, analysis, combinatorics and optimization.

Required language skills: English
Further requirements:
Msc/diploma in mathematics, physics, computer science or related disciplines; solid background in algebra, skills in reading specialized literature in English.

Number of students who can be accepted: 1

Deadline for application: 2024-05-31

2024. IV. 17.
ODT ülés
Az ODT következő ülésére 2024. június 14-én, pénteken 10.00 órakor kerül sor a Semmelweis Egyetem Szenátusi termében (Bp. Üllői út 26. I. emelet).