Well, by "curent strongest GMs" I mean people from first 20 or 30 of the FIDE ranking like Aronian, Caruana, Nakamura, Karjakin, Topalov, So, Gelfant, Giri etc.
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http://www.chesspersonality.com/ enumerates the following chess styles (personalities): Romantic (Ivanchuk), Surgeon (Lasker), Technician (Kramnik), Anaconda (Nimzowitsch), Assassin (Fischer), Barbarian (Nakamura), Champion (Kasparov), Escape Artist (Korchnoi), Genius (Capablanca), Grinder (Karpov), Mad Scientist (Steinitz), Magician (Tal), Mastermind (Alechine), Natural (Anand), Prodigy (Carlsen), Professional (Botvinnik).
Could you please indicate to which styles (personalities) current strongest GMs can be assigned? (Carlsen is already defined as a paradigmatic Prodigy)