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edited Jan 18 2012 at 14:08

math.AG Algebraic geometry

Elliptic curve cryptography
Motion planning: Configuration spaces of robot arms are semi-algebraic sets, and algebraic geometry (especially the Cylindrical Algebraic Decomposition) has been used to understand their geometry and design algorithms.
Algebraic geometry over finite fields is used to construct error correcting codes.
Statistical models are often semi-algebraic sets, and algebraic geometry can be used to devise tests for the correctness of the model or to fit parameters.
Birational geometry can be used in the design of NURBS and CAD tools.

Reworded the semi-algebraic stuff and added link

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edited Feb 25 2011 at 15:43

Thierry Zell
3,103●1●17●43

math.AG Algebraic geometry

Elliptic curve cryptography
Motion planning: Configuration spaces of robot arms are often semi-algebraic sets, and algebraic geometry (especially the Cylindrical Algebraic Decomposition) has been used to understand their geometry and design algorithms.
Algebraic geometry over finite fields is used to construct error correcting codes.
Statistical models are often semi-algebraic sets, and algebraic geometry can be used to devise tests for the correctness of the model or to fit parameters.

added 408 characters in body

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edited Oct 27 2009 at 14:55

David Speyer
55.3k●3●102●236

math.AG Algebraic geometry

Elliptic curve cryptography
Configuration spaces of robot arms are often semi-algebraic sets, and algebraic geometry has been used to understand their geometry.
Algebraic geometry over finite fields is used to construct error correcting codes.
Statistical models are often semi-algebraic sets, and algebraic geometry can be used to devise tests for the correctness of the model or to fit parameters.