Parse this person name:

ضياء الدّين آل محمد بن علي بن جماز, 1267-1314, flourished 1287-1309
user
first_name: ضياء الدّين
last_name: آل محمد بن علي بن جماز
middle_names: []
temporal:
- start: 1267
  end: 1314
  type: life_span
- start: 1287
  end: 1309
  type: flourished
titles: []
extra_info: []
assistant