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He corresponded with many leading mathematicians of his time , such as Louis Nirenberg , John Nash , Jacques-Louis Lions and Renato Caccioppoli .
 person: Louis Nirenberg; person: John Nash; person: Jacques-Louis Lions; person: Renato Caccioppoli
Given options, please tell me the categories of all the listed entity words.Output format is "type1: word1; type2: word2". 
Option: media, plant, vehicle, astronomical object, time, disease, animal, location, person, organization, mythical figure, food, biology, geographical phenomenon, instrument, event 
Text: {0} 
 Entities: Louis Nirenberg, John Nash, Jacques-Louis Lions, Renato Caccioppoli 
Answer:
 person: Louis Nirenberg; person: John Nash; person: Jacques-Louis Lions; person: Renato Caccioppoli