She was elected a Fellow of the Royal Society in 2008[6] and a Fellow of the American Mathematical Society in 2013.[7] She has served on the council of the Royal Society and in 2018 was its vice-president.[8] In 2017, she became a member of the German Academy of Sciences Leopoldina.[9]
She was elected as president-designate of the London Mathematical Society in June 2020 and took over the presidency from Jonathan Keating in November 2021.[12] She was elected to the European Academy of Sciences [fr] (EURASC) in 2021.[13] In October 2021 she became the director of the Isaac Newton Institute, taking a post which lasts for five years.[10]
Personal life
Tillmann's parents are Ewald and Marie-Luise Tillmann. In 1995 she married Jonathan Morris with whom she has had three daughters.[2]