# Information for PhD Applicants

We are always happy to talk to interested PhD applicants. Feel free to have a look at our research interests and members section to see if you like the look of what we do.

Prospective postgraduates should note that a strong student with a good all-round knowledge of undergraduate pure mathematics would still need to do large amounts of preparatory reading to begin with. Their work is likely to have as much to do with algebraic geometry, algebraic topology, analytic functions and representation theory as with undergraduate courses on elementary number theory.

## Who To Talk To

Any of the lecturers would be delighted to discuss potential PhD projects they have. Feel free to drop any one an email.

In addition, if you would like a more first-hand idea of what PhD life is like here at the Number Theory Group you are more than welcome to email the current PhD students.

## Funding

Funding in is available for PhD students through both the university and department. Your application will automatically be considered for funding. You can read about the details of funding on the university website. In addition to the standard funding, the university offers several scholarships for PhD applicants:

##### University Prize Scholarships

Each year the University offers a small number of University Prize Scholarships for exceptional candidates. The maintenance stipend is particularly generous at £20,000 per year. You should liase with your planned supervisor in advance for the application. For more details please see here.

##### Harry Worthington Scholarships

Two Harry Worthington Scholarships are available to applicants wishing to undertake doctoral study in any Faculty of the University. For more details you can check here.

## PhD Life In The Number Theory Group

We have many PhD students working on a variety of areas in the Number Theory Group. In the department there are many other PhD students to talk to working in Algebraic Topology, Algebraic Geometry, Category Theory and Differential Geometry.

The Sheffield department is quite an active one. Each week there is the opportunity to attend a wide variety of seminars run by the various research groups.

We run a learning seminar every semester. Past topics included Galois representations, Group Cohomology and the Eichler-Shimura Isomorphism, Shimura Curves, Automorphic Forms and Representation Theory, Conjectures of Birch & Swinnerton-Dyer and of Bloch & Kato. See here for more details.

More broadly there are several postgraduate reading groups in areas other than number theory. To name a few, there have been study groups on Topological K-Theory, V.I. Arnold’s book Mathematical Methods of Classical Mechanics, Applied Topology and Noncommutative Geometry.