Since completing her PhD, Williams has worked for the National Health Service, first at Central Manchester University Hospitals and currently at The Christie. Her role is to provide scientific support to routine imaging and improve this through research, development and teaching. Her imaging research spans a wide range of topics, including gamma camera and PET performance assessment, quantifying radiotracer uptake, designing methods for clinical research using brain, vascular and cancer imaging, and more unusual projects like imaging mechanisms to remove radioactivity from the environment and tracking breathing motion using the Microsoft Kinect. Williams is a state-registered Clinical Scientist, an honorary lecturer at the University of Manchester and member of the Institute of Physics and Engineering in Medicine and the Institute of Physics.
Policy and public engagement
Williams is an advocate for science communication to non-expert audiences. She regularly gives public lectures and contributes to panel discussions at schools, universities, conferences and festivals, and has judged a number of high-profile competitions including The Big Bang FairNorth West and STEM for Britain. She has appeared on stage with Alice Roberts, Brian Cox, Dallas Campbell, Helen Czerski, Jim Al-Khalili and Sophie Scott, amongst others. In 2014 she was recognised by the Science Council as one of the top 100 practising scientists in the UK. Williams has been a science demonstrator on the BBC's Bang Goes the Theory, delivered workshops for TeenTech, and is a consultant for the . She regularly contributes to radio and print media, and has contributed expert testimony to Parliament.
Diversity
After the European Commission's efforts to encourage girls into science with their video Science: It's a Girl Thing!, Williams recognised that there was a national need for scientists to contribute to the gender imbalance within their disciplines. In 2012 Williams established Science Grrl, a grassroots national network to celebrate and support women in science. Today she acts as one of three directors of the not-for-profit group, overseeing a range of national activities, co-ordinating the website and organising regular events in Manchester. Science Grrl supports nineteen local chapters across the country, who help to match scientists with speaking opportunities close to them. They have inspired several international groups including the French network WAX. In 2014 Science Grrl published Through Both Eyes: the Case for a Gender Lens in STEM. Williams' work with ScienceGrrl was recognised in 2015 when the University of Nottingham made her an alumni laureate. Williams is a current member of the IOP's Women in Physics group committee and its former secretary and chair, and now represents the Institute of Physics within the European Platform for Women Scientists.
Awards and honours
In 2017 she was awarded the IOP Phillips Award for distinguished service to the IOP through the Women in Physics Group.