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MA4A5 - Algebraic Geometry

  • Module code: MA4A5
  • Module name: Algebraic Geometry
  • Department: Mathematics Institute
  • Credit: 15

Content and teaching | Assessment | Availability

Module content and teaching

Principal aims

Algebraic geometry studies geometric objects defined algebraically. It is a classical subject with a modern face; many of the concepts we will study were known to the 19th century experts, while major inspiration comes to the field today from High Energy Physics, and there are applications outside mathematics. This module will introduce the most basic objects in algebraic geometry: affine and projective varieties, and the maps between them. The focus will be on concrete examples and explicit computations.

Departmental link

http://go.warwick.ac.uk/MA4A5/

Other essential notes

Prerequisites: A background in algebra (especially MA249 Algebra II is essential. The module develops more specialised material in commutative algebra and in geometry from first principles, but some experience with MA377 Rings and Modules or MA3D5 Galois Theory or MA243 Geometry may be an advantage. More than technical prerequisites, the main requirement is the sophistication to work simultaneously with ideas from several areas of mathematics, and to think algebraically and geometrically.

Module assessment

Assessment group Assessment name Percentage
15 CATS (Module code: MA4A5-15)
D (Assessed/examined work) Worksheets 30%
  3 hour examination (April) 70%

Module availability

This module is available on the following courses:

Core

N/A

Optional Core

N/A

Optional
  • Undergraduate Mathematics (MMath) (G103) - Year 3
  • Undergraduate Mathematics (MMath) (G103) - Year 4
  • Undergraduate Master of Mathematics (with Intercalated Year) (G105) - Year 3
  • Undergraduate Master of Mathematics (with Intercalated Year) (G105) - Year 4
  • Undergraduate Master of Mathematics (with Intercalated Year) (G105) - Year 5
  • Undergraduate Mathematics (MMath) with Study in Europe (G106) - Year 4
  • Undergraduate Mathematics and Statistics (BSc MMathStat) (G1G3) - Year 3
  • Undergraduate Mathematics and Statistics (BSc MMathStat) (G1G3) - Year 4
  • Postgraduate Taught Mathematics (G1P0) - Year 2
  • Postgraduate Taught Mathematics (Diploma plus MSc) (G1PC) - Year 2
  • Postgraduate Taught Interdisciplinary Mathematics (Diploma plus MSc) (G1PD) - Year 2
  • Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (G300) - Year 3
  • Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (G300) - Year 4
  • Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (G30A) - Year 3
  • Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (G30A) - Year 4
  • Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (G30A) - Year 5
  • Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (G30B) - Year 3
  • Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (G30B) - Year 4
  • Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (G30B) - Year 5
  • Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (G30C) - Year 3
  • Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (G30C) - Year 4
  • Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (G30C) - Year 5
  • Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (G30D) - Year 3
  • Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (G30D) - Year 4
  • Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (G30D) - Year 5
  • Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (with Intercalated (G30E) - Year 3
  • Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (with Intercalated (G30E) - Year 4
  • Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (with Intercalated (G30E) - Year 5
  • Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (with Intercalated (G30F) - Year 3
  • Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (with Intercalated (G30F) - Year 4
  • Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (with Intercalated (G30F) - Year 5
  • Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (with Intercalated (G30G) - Year 3
  • Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (with Intercalated (G30G) - Year 4
  • Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (with Intercalated (G30G) - Year 5
  • Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (with Intercalated (G30H) - Year 3
  • Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (with Intercalated (G30H) - Year 4
  • Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (with Intercalated (G30H) - Year 5
  • Undergraduate Discrete Mathematics (G4G3) - Year 4