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The purpose of this activity group is to bring together researchers who use algebraic geometry in industrial and applied mathematics. "Algebraic geometry" is interpreted broadly to include at least: <br> | The purpose of this activity group is to bring together researchers who use algebraic geometry in industrial and applied mathematics. "Algebraic geometry" is interpreted broadly to include at least: <br> | ||

- | algebraic geometry, commutative algebra, noncommutative algebra, symbolic and numeric computation, algebraic and geometric combinatorics, representation theory, and algebraic topology. <br> | + | algebraic geometry, commutative algebra, noncommutative algebra, symbolic and numeric computation, algebraic and geometric combinatorics, representation theory, and algebraic topology. <br> |

These methods have already seen applications in: <br> | These methods have already seen applications in: <br> | ||

- | biology, coding theory, cryptography, computer graphics, quantum computing, control theory, geometric design, complexity theory, machine learning, optimization, robotics, computational geometry, and statistics. <br> | + | biology, coding theory, cryptography, computer graphics, quantum computing, control theory, geometric design, complexity theory, machine learning, optimization, robotics, computational geometry, and statistics. <br> |

We welcome participation from both theoretical mathematical areas and application areas not on this list which fall under this broadly interpreted notion of algebraic geometry and its applications. <br> | We welcome participation from both theoretical mathematical areas and application areas not on this list which fall under this broadly interpreted notion of algebraic geometry and its applications. <br> |

## Revision as of 21:27, 11 August 2009

SIAG on Algebraic Geometry

The purpose of this activity group is to bring together researchers who use algebraic geometry in industrial and applied mathematics. "Algebraic geometry" is interpreted broadly to include at least:

algebraic geometry, commutative algebra, noncommutative algebra, symbolic and numeric computation, algebraic and geometric combinatorics, representation theory, and algebraic topology.

These methods have already seen applications in:

biology, coding theory, cryptography, computer graphics, quantum computing, control theory, geometric design, complexity theory, machine learning, optimization, robotics, computational geometry, and statistics.

We welcome participation from both theoretical mathematical areas and application areas not on this list which fall under this broadly interpreted notion of algebraic geometry and its applications.

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