11318 modules
Page 497
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MATH6138 2030-31
Geometric Group Theory
Students will be able to apply logic and reason to prove basic results in geometric group theory. They will be able to use the geometry of the hyperbolic plane and other related simple geometric artefacts to demonstrate many of the standard features of geometric group theory. Students will also be able to work with free groups and group presentations. While developing theoretical understanding, students will be able to use examples to illustrate different aspects of geometry and group theory. -
MATH6138 2025-26
Geometric Group Theory
Students will be able to apply logic and reason to prove basic results in geometric group theory. They will be able to use the geometry of the hyperbolic plane and other related simple geometric artefacts to demonstrate many of the standard features of geometric group theory. Students will also be able to work with free groups and group presentations. While developing theoretical understanding, students will be able to use examples to illustrate different aspects of geometry and group theory. -
MATH6138 2027-28
Geometric Group Theory
Students will be able to apply logic and reason to prove basic results in geometric group theory. They will be able to use the geometry of the hyperbolic plane and other related simple geometric artefacts to demonstrate many of the standard features of geometric group theory. Students will also be able to work with free groups and group presentations. While developing theoretical understanding, students will be able to use examples to illustrate different aspects of geometry and group theory. -
MATH6138 2026-27
Geometric Group Theory
Students will be able to apply logic and reason to prove basic results in geometric group theory. They will be able to use the geometry of the hyperbolic plane and other related simple geometric artefacts to demonstrate many of the standard features of geometric group theory. Students will also be able to work with free groups and group presentations. While developing theoretical understanding, students will be able to use examples to illustrate different aspects of geometry and group theory. -
MATH3095 2028-29
Geometry and Data
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MATH3095 2027-28
Geometry and Data
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MATH3095 2029-30
Geometry and Data
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MATH2049 2028-29
Geometry and Topology
Geometry has grown out of efforts to understand the world around us, and has been a central part of mathematics from the ancient times to the present. Topology has been designed to describe, quantify, and compare shapes of complex objects. Together, geometry and topology provide a very powerful set of mathematical tools that is of great importance in mathematics and its applications.
This module will introduce the students to the mathematical foundation of modern geometry based on the notion of distance. We will study metric spaces and their transformations. Through examples, we will demonstrate how a choice of distance determines shapes, and will discuss the main types of geometries. An important part of the course will be the study of continuous maps of spaces. A proper context for the general discussion of continuity is the topological space, and the students will be guided through the foundations of topology. Geometry and topology are actively researched by mathematicians and we shall indicate the most exciting areas for further study.
One of the pre-requisites for MATH3076, MATH3080, MATH3086, MATH6079, MATH6094, MATH6095, MATH6137 and MATH6138 -
MATH2049 2026-27
Geometry and Topology
Geometry has grown out of efforts to understand the world around us, and has been a central part of mathematics from the ancient times to the present. Topology has been designed to describe, quantify, and compare shapes of complex objects. Together, geometry and topology provide a very powerful set of mathematical tools that is of great importance in mathematics and its applications.
This module will introduce the students to the mathematical foundation of modern geometry based on the notion of distance. We will study metric spaces and their transformations. Through examples, we will demonstrate how a choice of distance determines shapes, and will discuss the main types of geometries. An important part of the course will be the study of continuous maps of spaces. A proper context for the general discussion of continuity is the topological space, and the students will be guided through the foundations of topology. Geometry and topology are actively researched by mathematicians and we shall indicate the most exciting areas for further study.
One of the pre-requisites for MATH3076, MATH3080, MATH3086, MATH6079, MATH6094, MATH6095, MATH6137 and MATH6138 -
MATH2049 2027-28
Geometry and Topology
Geometry has grown out of efforts to understand the world around us, and has been a central part of mathematics from the ancient times to the present. Topology has been designed to describe, quantify, and compare shapes of complex objects. Together, geometry and topology provide a very powerful set of mathematical tools that is of great importance in mathematics and its applications.
This module will introduce the students to the mathematical foundation of modern geometry based on the notion of distance. We will study metric spaces and their transformations. Through examples, we will demonstrate how a choice of distance determines shapes, and will discuss the main types of geometries. An important part of the course will be the study of continuous maps of spaces. A proper context for the general discussion of continuity is the topological space, and the students will be guided through the foundations of topology. Geometry and topology are actively researched by mathematicians and we shall indicate the most exciting areas for further study.
One of the pre-requisites for MATH3076, MATH3080, MATH3086, MATH6079, MATH6094, MATH6095, MATH6137 and MATH6138