What do I need to have studied to apply for a Ph.D. in Mathematics?
Usually, you need a masters degree showing good math ability, proven by a masters thesis. However, very talented students without a masters might get accepted and can get a Masters in Math while doing their Ph.D. studies.
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### Instruction:
What do I need to have studied to apply for a Ph.D. in Mathematics?

### Input: Not applicable

### Response:
Usually, you need a masters degree showing good math ability, proven by a masters thesis. However, very talented students without a masters might get accepted and can get a Masters in Math while doing their Ph.D. studies.<|im_end|>