I am highly interested in doing research in either of

1- Transcendental Number Theory and Algebraic Independence;

2- Diophantine Approximation and Geometry of Numbers.

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 the mentioned primary research interests of mine 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:

1- Analytic Number Theory, Additive Problems in Number Theory, Sparse Sequences, Exponential/Character Sums, Automorphic Forms and L-Functions, Density Theorems;

2- Algebraic Number Theory, Elliptic Curves, Complex Multiplication,The Class Numbers of Ray Class Fields of Imaginary Quadratic Fields, Arithmetically Exceptional Mappings;

3- Functional Analysis.

Which area of research is the closest to 1- Transcendental Number Theory and Algebraic Independence, or/and Diophantine Approximation and Geometry of Numbers?

Thank you!

I am highly interested in doing research in either of

1- Transcendental Number Theory and Algebraic Independence;

2- Diophantine Approximation and Geometry of Numbers.

There is no person working on these areas in the university that I want to study MSc. So I have to choose a "closer" research area for MSc so that I can switch the subject to work on the mentioned primary research interests of mine for PhD.

The reason that I am asking this from this community is because I can't get advice from the faculty: I need to choose the area of research before meeting the would-be supervisor because I want to be prepared by reading some of his/her papers beforehand (like preparing for an interview) to get a chance of admission...

The list of areas of research in the department are:

1- Analytic Number Theory, Additive Problems in Number Theory, Sparse Sequences, Exponential/Character Sums, Automorphic Forms and L-Functions, Density Theorems;

2- Algebraic Number Theory, Elliptic Curves, Complex Multiplication,The Class Numbers of Ray Class Fields of Imaginary Quadratic Fields, Arithmetically Exceptional Mappings;

3- Functional Analysis.

Which area of research is the closest to 1- Transcendental Number Theory and Algebraic Independence, or/and Diophantine Approximation and Geometry of Numbers?

Thank you!

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.

• Theory of Associated Operators in the Sense of W. Tutschke, Quaternionic Analysis, Pseudo-Analytic Functions, Partial Differential Equations, Ordinary Differential Equations, Initial Value Problems, Generalized Analytic Functions, Fixed Point Theory, Complex Boundary Value Problems for Partial Differential Equations, Clifford Analysis.

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

I am highly interested in doing research in either of

1- Transcendental Number Theory and Algebraic Independence;

2- Diophantine Approximation and Geometry of Numbers. 

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 the mentioned primary research interests of mine 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:

1- Analytic Number Theory, Additive Problems in Number Theory, Sparse Sequences, Exponential/Character Sums, Automorphic Forms and L-Functions, Density Theorems;

2- Algebraic Number Theory, Elliptic Curves, Complex Multiplication,The Class Numbers of Ray Class Fields of Imaginary Quadratic Fields, Arithmetically Exceptional Mappings;

3- Functional Analysis.

Which area of research is the closest to 1- Transcendental Number Theory and Algebraic Independence, or/and Diophantine Approximation and Geometry of Numbers?

Thank you!

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.

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.

• Theory of Associated Operators in the Sense of W. Tutschke, Quaternionic Analysis, Pseudo-Analytic Functions, Partial Differential Equations, Ordinary Differential Equations, Initial Value Problems, Generalized Analytic Functions, Fixed Point Theory, Complex Boundary Value Problems for Partial Differential Equations, Clifford Analysis.

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