CORDIS Project
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This project explores the modularity of q-series, which are essential in various mathematical fields such as number theory and combinatorics. By investigating examples of broken modularity, the research aims to develop new methods and deepen understanding of modular forms, with potential applications in multiple areas…
The main goal of this proposal is to investigate and explain modularity of q-series.
Modular forms generalize classical trigonometric functions because they are periodic; however, they have more symmetries.
They play a central role in many areas including algebraic topology, arithmetic geometry, combinatorics, mathematical physics, number theory, and representation theory.
The situation is complicated by the fact that often modularity is broken; it is however not always a priori clear in which…
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