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Section: New Software and Platforms
KleinianGroups
Keywords: Computational geometry - Computational number theory
Functional Description: KleinianGroups is a Magma package that computes fundamental domains of arithmetic Kleinian groups.
Overall Objectives
Research Program
New Software and Platforms
New Results
- Cryptographic Protocols
- Computation of Euclidean minima in totally definite quaternion fields
- Can you hear the homology of 3-dimensional drums?
- Error-correcting codes based on non-commutative algebras
- Towards practical key exchange from ordinary isogeny graphs
- Optimal addition sequences for theta functions
- Reed–Solomon-Gabidulin Codes
- Computing Stieltjes constants using complex integration
- Numerical Evaluation of Elliptic Functions, Elliptic Integrals and Modular Forms
- Numerical integration in arbitrary-precision ball arithmetic
- Fast and rigorous arbitrary-precision computation of Gauss-Legendre quadrature nodes and weights
- On a two-valued sequence and related continued fractions in power series fields
- Moduli space
- Modular forms
- L-functions
- Number fields
Partnerships and Cooperations
Bibliography