Sophie Marques

Current activity

I am currently a Lecturer at UCT, mathematics department and Posdoctoral student with a grant from NRF offered by Prof. George Janelidze.

Research interests

• Cohen-Macaulayness of ring of invariants
• Ramification theory : tameness, inertia groups, slices
• Group schemes, Hopf algebras and comodules, algebraic stacks,
• Moduli spaces
• Cohomology
• Deformation theory, Liftings
• Galois theory, Fundamental group, invariant theory
• Quaternion algebras and cyclic algebras.
• Function fields : holomorphic differential, low degree function fields, generic polynomials
• Inverse eigenvalue problem
• Graph theory
• Category theory
• Linear algebra

Curriculum Vitae