Postgraduate Course: AGQ Algebraic Geometry (MATH11251)

Course Outline
School	School of Mathematics	College	College of Science and Engineering
Credit level (Normal year taken)	SCQF Level 11 (Postgraduate)	Availability	Not available to visiting students
SCQF Credits	15	ECTS Credits	7.5
Summary	This course will train beginning PhD students in the fundamentals of contemporary study of algebraic geometry.
Course description	This course will introduce algebraic geometry from a sheaf-theoretic and categorical perspective. The precise syllabus will vary year to year according to the perspective and preferences of the Course Organiser, however the following two textbooks have been recommended as standard: - The Rising Sea, by Ravi Vakil - Algebraic Geometry by JS Milne Unless otherwise noted, the details of the content of this course can be found on the Scottish Mathematical Sciences Training Centre web site www.smstc.ac.uk, and/or the CDT webpage http://www.agq-cdt.org

Entry Requirements (not applicable to Visiting Students)
Pre-requisites	Students MUST have passed:	Co-requisites
Prohibited Combinations		Other requirements	None

Course Delivery Information

Academic year 2024/25, Not available to visiting students (SS1)		Quota: None
Course Start	Semester 1
Timetable	Timetable
Learning and Teaching activities (Further Info)	Total Hours: 150 ( Lecture Hours 20, Seminar/Tutorial Hours 10, Programme Level Learning and Teaching Hours 3, Directed Learning and Independent Learning Hours 117 )
Assessment (Further Info)	Written Exam 0 %, Coursework 100 %, Practical Exam 0 %
Additional Information (Assessment)	Coursework : 100% Examination : 0%
Feedback	Not entered
No Exam Information

Learning Outcomes
On completion of this course, the student will be able to: Ability to solve mathematical problems in algebraic geometry Understanding of the role of algebraic geometry across modern mathematics Ability to model algebraic questions using geometry, and conversely to apply algebraic machinery of sheaves and categories to study geometry.