Pure Mathematics (Formalisation of Mathematics) at Imperial College London

About

Course overview

During this course, you’ll explore advanced topics in Pure Mathematics and strengthen your skills in reasoning, problem-solving and presenting ideas.

You’ll choose from a wide range of optional modules, giving you the freedom to shape the course around your interests and goals.

You’ll study key research areas such as algebra, number theory, geometry, topology and analysis, guided by experts in the field.

By the end of the course, you’ll complete an independent research project on a topic you’re passionate about, applying your knowledge in a focused and meaningful way.

MSc Pure Mathematics streams

This is one of two MSc Pure Mathematics streams available at Imperial. You may wish to consider choosing one of the following streams:

Pure Mathematics (general stream)
Pure Mathematics (Formalisation of Mathematics) - this stream

Requirements

Entry Requirements

2:1 in mathematics or applied mathematics.

English Program Requirements

Duolingo English Test

Standard Level	Higher Level
115 overall with no less than 105 in any band score	125 overall with no less than 115 in any band score
*Test scores are only considered valid if taken within 2 years of the intended course start date.

Find out more on the Duolingo website.

IELTS – Academic (Test-Centre/UKVI SELT/Online)

Summary **of the table's contents**
Standard	Higher
6.5 overall (minimum 6.0 in all elements)	7.0 overall (minimum 6.5 in all elements)

*IELTS single score re-takes are not accepted. Candidates must meet the IELTS requirements on a single test sitting.

Imperial College London considers IELTS scores to be valid for 2 years.

Scores must be valid at the beginning of your studies at Imperial if your application is successful.

Find out more on the IELTS website.

LanguageCert International ESOL

Standard level	Higher level
ESOL B2 Test (Listening, Reading, Writing, Speaking) with grade High Pass	ESOL C1 (Listening, Reading, Writing, Speaking) with grade pass in all components

*Test scores are only considered valid if taken within two years of the intended course start date.

Find out more on the LanguageCert website.

Occupational English Test

Standard Level	Higher Level
Grade C+/300 in all elements	Grade B/350 in all elements
Test results must be within 12 months of programme start date in order to be treated as valid and subject to online verification. OET Paper/Computer at test centre and OET@Home accepted.

Standard Level

Higher Level

Grade C+/300 in all elements

Grade B/350 in all elements

*Test results must be within 12 months of programme start date in order to be treated as valid and subject to online verification.

*OET Paper/Computer at test centre and OET@Home accepted.

Find out more on the Cambridge website.

PTE – Academic (Test-Centre/UKVI SELT)

Summary of the table's contents
Standard	Higher
62 overall (minimum 56 in all elements)	69 overall (minimum 62 in all elements)

Imperial College London considers Pearson (PTE) scores to be valid for 2 years.

Scores must be valid at the beginning of your studies at Imperial if your application is successful.

For more information regarding Pearson, please visit the Pearson website.

PTE Academic online test results are only accepted (where valid) for entry for those starting courses up to 31 December 2023.

TOEFL (iBT) and (iBT Paper)

Summary of the **table's contents**
Standard	Higher
92 overall (minimum 20 in all elements)	100 overall (minimum 22 in all elements)

*ETS at Home accepted for admission

Imperial College London considers TOEFL scores to be valid for 2 years.

Scores must be valid at the beginning of your studies at Imperial if your application is successful.

You must meet the entry requirement in one test from your scaled scores ('My Best Scores' reported by TOEFL will not be considered).

For more information relating regarding TOEFL please visit the ETS website.

You must email your TOEFL scores to the relevant admissions teams.

Score reports sent via post will not be processed.

Fee Information

Tuition Fee

GBP 39,900

Application Fee

GBP

Pure Mathematics (Formalisation of Mathematics)

Imperial College London

Imperial College London

Key Facts

Start & Deadlines