# Mathematics

Number of students per year: 10 - 12

Typical offer: A*A*A at A-level or 7 7 6 (42+ overall) in the IB or the equivalent, as well as grades 1 in STEP II and STEP III.

Essential subjects: A-level/IB Higher Level or equivalent in Mathematics and Further Mathematics. Students will also need to take STEP II and III.

(Please note that IB applicants starting the new IB Mathematics syllabus are expected to take IB Higher Level 'Analysis and Approaches' if it's available at your school. If this isn't an option for you, please drop us an email at admissions@clare.cam.ac.uk and we'll be very happy to advise you.)

Useful subjects: Physics, especially for applicants intending to study Mathematics with Physics.

Mathematics at Clare

The Cambridge Mathematics course has always enjoyed a very high reputation, and a Cambridge Mathematics degree is highly regarded world-wide.

Each year, around 10-12 students enter Clare to read Mathematics. We find this number works well - it is large enough for the Mathematicians to be able to support each other effectively, but small enough for students to make friends easily outside Mathematics.

Students are expected to work hard, but we also hope that you will enjoy your studies! Our students have often testified to the friendly and stimulating atmosphere in Clare. Whether you wish to talk or to sing, to play the flute or to play the fool, to try rowing or to try praying, you will find kindred spirits.

## Key People

### Dr Maciej Dunajski

Director of Studies, University Reader in Mathematics, Senior College Teaching Officer

My research interest is mathematical physics, in particular the interplay between differential geometry, integrable systems, and general relativity. While it acknowledged that physicists need mathematics, it also appears that theorems in pure mathematics can be proven using ideas from research on black holes!

Einstein's theory of gravitation was recently used to establish the Poincare conjecture: If S is a three--dimensional space which is finite in size, consists of one piece, has no boundary and has an additional property that all closed loops in this space can be continuously deformed to a point, then S can be continuously deformed into a three--dimensional sphere.

## Taster lecture! The Mathematics of Curved Spaces

Clare Fellow and Faculty of Mathematics Lecturer Dr Maciej Dunajski talks about the mathematics of curved spaces, beginning with bugs and ending with black holes.