Xi Ding, M.Sc.

Call for Bachelor’s and Master’s Theses

I am looking for dedicated students with a solid mathematical background who are interested in contributing to a theoretically grounded and application-oriented research project as part of their Bachelor’s or Master’s thesis.

Requirements:

• High motivation
  Independent work, interest in scientific research, and teamwork skills are particularly important to us.

• Mathematical understanding, especially in matrix analysis
  Experience with topics such as matrix decompositions (e.g., LU, QR, or SVD decompositions) is required.

• Basic knowledge of optimization
  Initial ideas or interest in formulating and analyzing objective functions (e.g., in the context of optimization problems) are advantageous.

• Python experience
  Basic programming experience with Python is required, especially in scientific computing (e.g., NumPy, SciPy).

Additional desired qualifications:

• Good knowledge of linear algebra and calculus
  A deeper mathematical understanding is desirable – e.g., regarding eigenvalue problems, spectral theory, etc.

• Advantageous, but not strictly required:

  • Basic knowledge of functional analysis

  • Introduction to fundamental concepts of differential geometry, especially manifolds, tensor products, and tensor fields on manifolds

Topic context:
The research questions can be formulated and investigated in both finite-dimensional and infinite-dimensional spaces – depending on the interests and prior knowledge of the student.