[1] Crump was born in Oamaru and raised on a farm at Okaramio, attending Havelock School[5] and Marlborough Boys’ College.

[6] He graduated MB ChB in 1993 and completed his MD doctoral thesis in 2013 on clinical and laboratory aspects of HIV in Tanzania from the University of Otago Medical School.

Crump trained as both an internist in infectious diseases and as a pathologist in medical microbiology in New Zealand, England,[9] Australia, and the US, being made MRCP(UK) in 1997, FRACP in 1999, FRCPA in 2004, and FRCP in 2009.

[1] Crump studies the diagnosis, management, and prevention of infectious causes of fever in the tropics other than malaria, a complex clinical problem that affects many millions annually particularly in low- and middle-income countries.

[41] He is a 2020 cross-field Clarivate Highly Cited Researcher, defined as having multiple papers ranked in the top 1% by citations for field and year.