1. Academic reputation: King's College London has a high academic reputation in the fields of finance and mathematics, and its professors and graduate students are also recognized for their academic research in related fields, while the finance and mathematics disciplines of University College London are not as outstanding as those of King's College London.

2. Faculty: The faculty of the doctoral program in financial mathematics at King's College London has more experience and higher academic level in related fields, which can provide better academic guidance and support for students and help them complete their research work better, while the faculty of King's College London is not as good as that of King's College London.