MATH 378 Fall 2014 Algebraic Geometry (Q)

Algebraic Geometry has been at the heart of mathematics for at least two hundred years. While starting with a humble study of circles, it has influenced a tremendous amount of modern mathematics, ranging from number theory to robotics. Algebraic Geometry uses tools from almost all areas of mathematics; key for this course will be abstract algebra and multivariable calculus. We will study conics, cubics (books are written about the geometry of cubics; the depth of ideas involved with these curves is amazing) and higher degree curves. In particular, we will study Bezout's Theorem and Riemann-Roch for curves. Simultaneously with learning about curves, we will also cover the more abstract ideas behind affine and projective varieties. Emphasis will be placed on both "big picture" concepts and the underlying technical details.
Class Format: lecture
Requirements/Evaluation: evaluation will be based on homework, possibly exams, and presentations during tutorial meetings
Additional Info:
Additional Info2: may not be taken on a pass/fail basis; not available for the gaudino option
Prerequisites: MATH 312 or 355 or 315
Enrollment Preference: instructor decision
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Material and Lab Fees:
Distribution Notes:
Divisional Attributes: Division III,Quantitative and Formal Reasoning
Other Attributes:
Enrollment Limit: 10
Expected Enrollment: 10
Class Number: 1529
MATH 378 - T1 (F) TUT Algebraic Geometry (Q) Division 3: Science and MathematicsQuantitative and Formal Reasoning Thomas A. Garrity
TBA 1529
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