Philippe Moustrou
Philippe Moustrou,
Cordian Benedikt Riener,
Thorsten Theobald,
Hugues Verdure
:
Symmetric SAGE and SONC forms, exactness and quantitative gaps
Journal of symbolic computation 2024 DOI
Philippe Moustrou,
Helen Naumann,
Cordian Riener,
Thorsten Theobald,
Hugues Verdure
:
Symmetry Reduction in AM/GM-Based Optimization
Mathieu Dutour Sikirić,
David A. Madore,
Philippe Moustrou,
Frank Vallentin
:
Coloring the Voronoi tessellation of lattices
Philippe Moustrou,
Cordian Riener,
Hugues Verdure
:
Symmetric ideals, Specht polynomials and solutions to symmetric systems of equations
Maria Dostert,
David de Laat,
Philippe Moustrou
:
Exact semidefinite programming bounds for packing problems
Christine Bachoc,
Thomas Bellitto,
Philippe Moustrou,
Arnaud Pêcher
:
On the Density of Sets Avoiding Parallelohedron Distance 1
Discrete & Computational Geometry 2019 DOI
Hugues Verdure,
Philippe Moustrou,
Cordian Riener,
Helen Naumann,
Thorsten Theobald
:
Symmetries in AM/GM-based optimization
2021
Philippe Moustrou
:
Computing spectral bounds for geometric graphs via polynomial optimization
2019
Philippe Moustrou
:
Exact semidefinite programming bounds for packing problems
2019
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Research interests
My research concerns both theoretical and computational questions in several topics, ranging from number theory to polynomial optimization, going through discrete geometry, coding theory and real algebraic geometry. I am particularly excited by questions involving lattices and sphere packings.
For more information, see here.
