[5][6][7] Gog read mathematics in Trinity College, Cambridge where she was awarded a Master of Arts degree in 2001.

[21] In 2020, she served on the Scientific Advisory Group for Emergencies (SAGE) advising the government of the United Kingdom on its response to the COVID-19 pandemic.

[29] Gog was awarded a Royal Society University Research Fellowship (URF) which she held from 2004 to 2012.

[4] In 2017, Gog was one of 13 mathematicians featured in the touring photographic exhibition Women of Mathematics.

She was appointed Officer of the Order of the British Empire (OBE) in the 2020 Birthday Honours for services to academia and the COVID-19 response.