<?xml version="1.0" encoding="UTF-8"?>
<ProgrammePlan xmlns="http://www.manchester.ac.uk/CUIProgrammePlan" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.manchester.ac.uk/CUIProgrammePlan.xsd">
  <PlanCode>12519</PlanCode>
  <PlanTitle>MSc Pure Mathematics</PlanTitle>
  <ProgrammeCode>07207</ProgrammeCode>
  <ProgrammeTitle>MSc Pure Maths</ProgrammeTitle>
  <Year Label="6">
    <CourseUnit Multiple="N">
      <UnitCode>MATH61000</UnitCode>
      <UnitTitle>MSc Pure Mathematics Research and Project Skills</UnitTitle>
      <Level>6</Level>
      <TeachingPeriods>F</TeachingPeriods>
      <CreditRating>30</CreditRating>
      <Requirement>Mandatory</Requirement>
      <FileLocation>/CourseUnitPublishing/CourseUnitDataFiles/MATH/009373MATH610002025-08-011V10.xml</FileLocation>
      <ValidFromDate>2025-08-01</ValidFromDate>
      <VersionType>Current</VersionType>
    </CourseUnit>
    <CourseUnit Multiple="Y">
      <UnitCode>MATH63012</UnitCode>
      <UnitTitle>Computation and Complexity</UnitTitle>
      <Level>6</Level>
      <TeachingPeriods>2</TeachingPeriods>
      <CreditRating>15</CreditRating>
      <Requirement>Optional</Requirement>
      <FileLocation>/CourseUnitPublishing/CourseUnitDataFiles/MATH/009399MATH630122026-08-011V17.xml</FileLocation>
      <ValidFromDate>2026-08-01</ValidFromDate>
      <VersionType>Future</VersionType>
    </CourseUnit>
    <CourseUnit Multiple="N">
      <UnitCode>MATH61072</UnitCode>
      <UnitTitle>Algebraic Topology</UnitTitle>
      <Level>6</Level>
      <TeachingPeriods>2</TeachingPeriods>
      <CreditRating>15</CreditRating>
      <Requirement>Optional</Requirement>
      <FileLocation>/CourseUnitPublishing/CourseUnitDataFiles/MATH/009437MATH610722025-08-011V22.xml</FileLocation>
      <ValidFromDate>2025-08-01</ValidFromDate>
      <VersionType>Current</VersionType>
    </CourseUnit>
    <CourseUnit Multiple="Y">
      <UnitCode>MATH62112</UnitCode>
      <UnitTitle>Lie Algebras</UnitTitle>
      <Level>6</Level>
      <TeachingPeriods>2</TeachingPeriods>
      <CreditRating>15</CreditRating>
      <Requirement>Optional</Requirement>
      <FileLocation>/CourseUnitPublishing/CourseUnitDataFiles/MATH/009441MATH621122026-08-012V21.xml</FileLocation>
      <ValidFromDate>2026-08-01</ValidFromDate>
      <VersionType>Future</VersionType>
    </CourseUnit>
    <CourseUnit Multiple="Y">
      <UnitCode>MATH63051</UnitCode>
      <UnitTitle>Model theory</UnitTitle>
      <Level>6</Level>
      <TeachingPeriods>1</TeachingPeriods>
      <CreditRating>15</CreditRating>
      <Requirement>Optional</Requirement>
      <FileLocation>/CourseUnitPublishing/CourseUnitDataFiles/MATH/009445MATH630512026-08-012V20.xml</FileLocation>
      <ValidFromDate>2026-08-01</ValidFromDate>
      <VersionType>Future</VersionType>
    </CourseUnit>
    <CourseUnit Multiple="N">
      <UnitCode>MATH62121</UnitCode>
      <UnitTitle>Galois Theory</UnitTitle>
      <Level>6</Level>
      <TeachingPeriods>2</TeachingPeriods>
      <CreditRating>15</CreditRating>
      <Requirement>Optional</Requirement>
      <FileLocation>/CourseUnitPublishing/CourseUnitDataFiles/MATH/009481MATH621212025-08-012V17.xml</FileLocation>
      <ValidFromDate>2025-08-01</ValidFromDate>
      <VersionType>Current</VersionType>
    </CourseUnit>
    <CourseUnit Multiple="N">
      <UnitCode>MATH67101</UnitCode>
      <UnitTitle>Stochastic Calculus</UnitTitle>
      <Level>6</Level>
      <TeachingPeriods>1</TeachingPeriods>
      <CreditRating>15</CreditRating>
      <Requirement>Optional</Requirement>
      <FileLocation>/CourseUnitPublishing/CourseUnitDataFiles/MATH/021231MATH671012025-08-011V17.xml</FileLocation>
      <ValidFromDate>2025-08-01</ValidFromDate>
      <VersionType>Current</VersionType>
    </CourseUnit>
    <CourseUnit Multiple="Y">
      <UnitCode>MATH67112</UnitCode>
      <UnitTitle>Brownian Motion</UnitTitle>
      <Level>6</Level>
      <TeachingPeriods>2</TeachingPeriods>
      <CreditRating>15</CreditRating>
      <Requirement>Optional</Requirement>
      <FileLocation>/CourseUnitPublishing/CourseUnitDataFiles/MATH/021236MATH671122026-08-011V16.xml</FileLocation>
      <ValidFromDate>2026-08-01</ValidFromDate>
      <VersionType>Future</VersionType>
    </CourseUnit>
    <CourseUnit Multiple="N">
      <UnitCode>MATH64041</UnitCode>
      <UnitTitle>Dynamical Systems</UnitTitle>
      <Level>6</Level>
      <TeachingPeriods>1</TeachingPeriods>
      <CreditRating>15</CreditRating>
      <Requirement>Optional</Requirement>
      <FileLocation>/CourseUnitPublishing/CourseUnitDataFiles/MATH/029294MATH640412025-08-011V19.xml</FileLocation>
      <ValidFromDate>2025-08-01</ValidFromDate>
      <VersionType>Current</VersionType>
    </CourseUnit>
    <CourseUnit Multiple="Y">
      <UnitCode>MATH67201</UnitCode>
      <UnitTitle>Martingale Theory</UnitTitle>
      <Level>6</Level>
      <TeachingPeriods>1</TeachingPeriods>
      <CreditRating>15</CreditRating>
      <Requirement>Optional</Requirement>
      <FileLocation>/CourseUnitPublishing/CourseUnitDataFiles/MATH/037359MATH672012026-08-011V16.xml</FileLocation>
      <ValidFromDate>2026-08-01</ValidFromDate>
      <VersionType>Future</VersionType>
    </CourseUnit>
    <CourseUnit Multiple="N">
      <UnitCode>MATH60000P</UnitCode>
      <UnitTitle>Dissertation (60cr) Pure Mathematics and Mathematical Logic</UnitTitle>
      <Level>6</Level>
      <TeachingPeriods></TeachingPeriods>
      <CreditRating>60</CreditRating>
      <Requirement>Mandatory</Requirement>
      <FileLocation>/CourseUnitPublishing/CourseUnitDataFiles/MATH/038091MATH60000P2025-08-011V1.xml</FileLocation>
      <ValidFromDate>2025-08-01</ValidFromDate>
      <VersionType>Current</VersionType>
    </CourseUnit>
    <CourseUnit Multiple="N">
      <UnitCode>UCIL60312</UnitCode>
      <UnitTitle>Creating a Sustainable World: Interdisciplinary Applications of the Sustainable Development Goals</UnitTitle>
      <Level>6</Level>
      <TeachingPeriods>2</TeachingPeriods>
      <CreditRating>15</CreditRating>
      <Requirement>Optional</Requirement>
      <FileLocation>/CourseUnitPublishing/CourseUnitDataFiles/UCIL/041072UCIL603122022-07-311V2.xml</FileLocation>
      <ValidFromDate>2022-07-31</ValidFromDate>
      <VersionType>Current</VersionType>
    </CourseUnit>
    <CourseUnit Multiple="N">
      <UnitCode>MATH61061</UnitCode>
      <UnitTitle>Differentiable Manifolds</UnitTitle>
      <Level>6</Level>
      <TeachingPeriods>1</TeachingPeriods>
      <CreditRating>15</CreditRating>
      <Requirement>Optional</Requirement>
      <FileLocation>/CourseUnitPublishing/CourseUnitDataFiles/MATH/041110MATH610612025-08-011V5.xml</FileLocation>
      <ValidFromDate>2025-08-01</ValidFromDate>
      <VersionType>Current</VersionType>
    </CourseUnit>
    <CourseUnit Multiple="N">
      <UnitCode>MATH61021</UnitCode>
      <UnitTitle>Measure Theory and Ergodic Theory</UnitTitle>
      <Level>6</Level>
      <TeachingPeriods>1</TeachingPeriods>
      <CreditRating>15</CreditRating>
      <Requirement>Optional</Requirement>
      <FileLocation>/CourseUnitPublishing/CourseUnitDataFiles/MATH/042153MATH610212024-08-011V5.xml</FileLocation>
      <ValidFromDate>2024-08-01</ValidFromDate>
      <VersionType>Current</VersionType>
    </CourseUnit>
    <CourseUnit Multiple="N">
      <UnitCode>MATH63031</UnitCode>
      <UnitTitle>Category Theory</UnitTitle>
      <Level>6</Level>
      <TeachingPeriods>1</TeachingPeriods>
      <CreditRating>15</CreditRating>
      <Requirement>Optional</Requirement>
      <FileLocation>/CourseUnitPublishing/CourseUnitDataFiles/MATH/042606MATH630312025-08-011V3.xml</FileLocation>
      <ValidFromDate>2025-08-01</ValidFromDate>
      <VersionType>Current</VersionType>
    </CourseUnit>
    <CourseUnit Multiple="Y">
      <UnitCode>MATH61132</UnitCode>
      <UnitTitle>Riemann Surfaces</UnitTitle>
      <Level>6</Level>
      <TeachingPeriods>1</TeachingPeriods>
      <CreditRating>15</CreditRating>
      <Requirement>Optional</Requirement>
      <FileLocation>/CourseUnitPublishing/CourseUnitDataFiles/MATH/042998MATH611322026-08-011V5.xml</FileLocation>
      <ValidFromDate>2026-08-01</ValidFromDate>
      <VersionType>Future</VersionType>
    </CourseUnit>
    <CourseUnit Multiple="Y">
      <UnitCode>MATH62192</UnitCode>
      <UnitTitle>Graph Theory</UnitTitle>
      <Level>6</Level>
      <TeachingPeriods>2</TeachingPeriods>
      <CreditRating>15</CreditRating>
      <Requirement>Optional</Requirement>
      <FileLocation>/CourseUnitPublishing/CourseUnitDataFiles/MATH/043002MATH621922026-08-011V4.xml</FileLocation>
      <ValidFromDate>2026-08-01</ValidFromDate>
      <VersionType>Future</VersionType>
    </CourseUnit>
    <CourseUnit Multiple="Y">
      <UnitCode>MATH62261</UnitCode>
      <UnitTitle>Representation Theory</UnitTitle>
      <Level>6</Level>
      <TeachingPeriods>1</TeachingPeriods>
      <CreditRating>15</CreditRating>
      <Requirement>Optional</Requirement>
      <FileLocation>/CourseUnitPublishing/CourseUnitDataFiles/MATH/043004MATH622612026-08-011V4.xml</FileLocation>
      <ValidFromDate>2026-08-01</ValidFromDate>
      <VersionType>Future</VersionType>
    </CourseUnit>
  </Year>
</ProgrammePlan>

