Preludium grant for a UWr mathematician
Jakub Gogolok of the Faculty of Mathematics and Computer Science has received the Preludium grant from the National Science Centre for his research project entitled “Free and iterative operators in fields” („Wolne i iteratywne operatory na ciałach”). He will receive funding of PLN 68,320. Congratulations!
Jakub is a doctoral student at the Institute of Mathematics of the University of Wrocław. His research is carried out under the supervision of prof. Piotr Kowalski.
– My research focuses on free and iterative operators in fields – says, explaining: – A field is a kind of an algebraic structure. Similar to sets of rational numbers and real numbers, or a set of all rational functions. An operator represents the morph of a field, fulfilling specified dependencies. Those objects constantly appear in mathematics. They feature in various significant issues, for example in dynamics of algebraic varieties (field automorphisms are important here), or in Diophantine number/geometry theory (differential fields are important here). It leads to their indirect involvement in more tangible areas of mathematics, such as cryptography. As part of my project, I intend to research algebraic, geometric, and above all model theory properties of a general class of field operators.
– Model theory is a subarea of logic, which focuses on “definable” (in the sense of first-order logic) aspects of mathematical structures. It provides us with a set of powerful tools which help us comprehend various mathematical objects – the researcher says. – Such deep understanding is key for applications in other areas of mathematics.
His interest in model theory is a result of prof. Ludomir Newelski’s influence.
– He made me discover the deep and unifying look on mathematics given by model theory. He is the reason why I chose the University of Wrocław for my PhD. Also, it is worth to mention prof. Piotr Kowalski who showed me how effectively those ideas connect with algebra and algebraic geometry – he adds.
Who else from UWr received the Preludium and Opus grants? See here.
Created by: Katarzyna Górowicz-Maćkiewicz
Translated by Mateusz Czerwiński (student of English Studies at the University of Wrocław) as part of the translation practice.
