Next, the bulk of the thesis is taken up with an account of your research. Here you should describe what you are doing, state the results carefully and clearly and write proofs so that they can be followed by a reader who is not an expert on the particular topic. Do not make the readers work too hard. Remember that you are trying to show that you can communicate mathematical ideas as well as demonstrating that you can solve problems. It is impossible to be too clear.
Theses often finish with a short section on future research.
This will be a brief account of questions which arise from your results, and directions for further work on the thesis topic. At the end of the thesis you list the references relevant to your research. Details of how they should be set out are given in the University regulations. Your thesis must be written in English. This implies that it must not be in the form of rough notes or contain sequences of unexplained formulae.