Christine Bachoc (born 1964) is a French mathematician known for her work in

coding theory Coding theory is the study of the properties of codes and their respective fitness for specific applications. Codes are used for data compression, cryptography, error detection and correction, data transmission and computer data storage, data sto ...

kissing number In geometry, the kissing number of a mathematical space is defined as the greatest number of non-overlapping unit spheres that can be arranged in that space such that they each touch a common unit sphere. For a given sphere packing (arrangement o ...

lattice theory A lattice is an abstract structure studied in the mathematical subdisciplines of order theory and abstract algebra. It consists of a partially ordered set in which every pair of elements has a unique supremum (also called a least upper bou ...

, and

semidefinite programming Semidefinite programming (SDP) is a subfield of mathematical programming concerned with the optimization of a linear objective function (a user-specified function that the user wants to minimize or maximize) over the intersection of the cone of po ...

. She is a professor of mathematics at the

University of Bordeaux The University of Bordeaux (, ) is a public research university based in Nouvelle-Aquitaine in southwestern France. It has several campuses in the cities and towns of Bordeaux, Dax, Gradignan, Périgueux, Pessac, and Talence. There are al ...

. Bachoc earned a doctorate in 1989 with the dissertation ''Réseaux unimodulaires et problèmes de plongement liés à la forme Trace''. In 2011, Bachoc and Frank Vallentin won the

Society for Industrial and Applied Mathematics Society for Industrial and Applied Mathematics (SIAM) is a professional society dedicated to applied mathematics, computational science, and data science through research, publications, and community. SIAM is the world's largest scientific soci ...

Activity Group on Optimization Prize for their work proving upper bounds on high-dimensional kissing numbers by combining methods from

harmonic analysis Harmonic analysis is a branch of mathematics concerned with investigating the connections between a function and its representation in frequency. The frequency representation is found by using the Fourier transform for functions on unbounded do ...

, and

invariant theory Invariant theory is a branch of abstract algebra dealing with actions of groups on algebraic varieties, such as vector spaces, from the point of view of their effect on functions. Classically, the theory dealt with the question of explicit descr ...

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* 1964 births Living people 20th-century French mathematicians French women mathematicians Academic staff of the University of Bordeaux 21st-century French mathematicians {{France-mathematician-stub