My primary interests are transcendental number theory and algebraic independence theory, especially the Euler's constant. There is no person working on these areas in the university that I want to study MSc. I want to choose a "close" research area in MSc so that I can switch to work on Euler's constant in PhD.

The reason that I am asking this from this community is because for some (complicated) reasons I need to choose the area of research by myself before choosing a supervisor so I can't get advice from the faculty...

The list of areas of research in the department are:

• Finite groups, representation theory, local and Clifford theory, G-algebras, G-posets algebraic geometry, Algebraic topology, fusion systems, local group theory Functional analysis, operator theory

• Analytic number theory (q-series, partitions, and theta functions, Additive Problems in Number Theory, Sparse Sequences, Exponential/Character Sums, Automorphic Forms and L-functions, density theorems.)

• Complex analysis and operator theory Commutative algebra, algebraic geometry, algebraic combinatorics and graph theory

• Ring theory, formal concept analysis Commutative algebra, invariant theory Automorphic forms Cohomology of groups,

• finite group actions on topological spaces Theory of entire functions, Polya frequency sequences

Which area of research is the closest to transcendental number theory or/and algebraic independence theory? Thanks.