[3] He currently holds the position of Professor for Pure Mathematics, and Deputy Head of Department[4] for REF at the University of Liverpool.

[3] Rempe recorded the voiceover for a BBC feature on the art of mathematics, where he explained how certain pictures have arisen from dynamical systems.

[6] Rempe earned his Master of Arts degree in mathematics from State University of New York at Stony Brook in 2000[2] and his doctorate at the University of Kiel in Germany.

[7] In June 2010, Rempe was awarded a Whitehead Prize by the London Mathematical Society for his work in complex dynamics, in particular his research on the escaping set for entire functions.

[8] In 2012 he was awarded a Philip Leverhulme Prize[9] He was elected as a member of the 2017 class of Fellows of the American Mathematical Society "for contributions to complex dynamics and function theory, and for communication of mathematical research to broader audiences".