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This led to new branches of number theory such as analytic number theory , algebraic number theory , Diophantine geometry and arithmetic algebraic geometry .
 person: Diophantine geometry
Given options, please tell me the categories of all the listed entity words.Output format is "type1: word1; type2: word2". 
Option: location, person, organization 
Text: {0} 
 Entities: Diophantine geometry 
Answer:
 person: Diophantine geometry