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Research of the Algorithmic Algebra Group
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- Inverse Galois theory.
- Galois representations.
- Computation of Galois groups.
- Construction of polynomials with given Galois groups.
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- Inverse problems and embedding problems.
- p-adic differential equations.
- Modular differential Galois theory.
- Computation of differential Galois groups.
- Construction of differential equations with given Galois group.
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- Invariant theory of finite groups.
- Modular invariant theory.
- Noether's problem and generic polynomials.
- Applications of invariant theory.
- Separating invariants.
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- Computational algebraic number theory.
- Involutive basis.
- Computational invariant theory:
- INVAR:
A software package for working with polynomial invariants of finite groups.
- The invariant package in MAGMA
- Databases for differential equations with given differential Galois group.
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