Follow this tracker to find out more about those in the running and keep up to date with the news from the campaign trail. We have included those most likely to be in contention, and will amend the content as the nominations are finalised.
Defnyddiwch y safle yma i ddarganfod mwy am y rhai sydd yn y ras ac i gadw llygaid ar y newyddion diweddaraf o’r ymgyrch. Rydym wei cynnwys y rhai sydd yn fwyaf tebygol o fod yn y ras, a byddwn yn diweddaru’r cynnwys unwaith bydd yr ymgeiswyr wedi eu cadarnhau.
Born in Carmarthenshire into a miner’s family before going to a Welsh-medium school, Adam Price attended Cardiff University. Later in his career he was awarded a Fulbright Scholarship to study at Harvard University for a Master’s in Public Administration. He went on to become a Fellow at the Centre for International Development at Harvard’s John F. Kennedy School of Government.
Adam formerly was a Managing Director of Newidiem, a UK policy and economics consultancy, and former Executive Director of the Welsh economic development and cultural change agency, Menter a Busnes. Adam also worked as a Senior Programme Manager for a UK Innovation Foundation. He has been a Director of a number of companies, including an ill-fated digital start-up.
Adam was first elected as MP for the Carmarthen East and Dinefwr constituency in 2001, quickly becoming a well-known opponent of the Iraq War, and was involved in an attempt to impeach Tony Blair.
Adam was then elected as Assembly Member for Carmarthen East and Dinefwr in the 2016 elections.
He sits on the Economy, Infrastructure and Skills Committee and is the Shadow Minister for Business, Economy and Finance.
He has played a significant role in developing new policy for Plaid, with a focus on the economy, transport, social enterprises and government structures.
Until now, he has also played a role in advising Leanne Wood on party strategy.
Born in the Rhondda, Leanne Wood learned the Welsh language as an adult. She was brought up and still lives in the village of Penygraig, attending Tonypandy Comprehensive School and the University of Glamorgan.
She worked in various roles before being elected to the Assembly, including as a probation officer, a researcher to Jill Evans MEP, a support worker for Cwm Cynon Women’s Aid, and a lecturer in social policy at Cardiff University.
Leanne was elected to the National Assembly, representing the South Wales Central region in 2003, and was Plaid Cymru’s Shadow Social Justice Minister between 2003 and 2007.
Leanne was elected leader of Plaid Cymru on 15 March 2012, becoming the first female leader of Plaid Cymru and the first party leader to be a Welsh learner rather than already fluent in the Welsh language. She defeated Elin Jones and Dafydd Elis Thomas quite comfortably and was considered to be the candidate of the party’s left wing, pledging to work to ‘end war, inequality and discrimination’.
Leanne Wood is the current AM for Rhondda, winning the Labour stronghold seat from Labour’s Leighton Andrews at the 2016 Assembly Election. She had previously unsuccessfully contested the seat at the 1997 and 2001 UK Parliamentary elections.
Brought up on Ynys Môn, Rhun ap Iorwerth was educated at Ysgol David Hughes, before graduating in Politics and Welsh at Cardiff University. He is married with three children.
Rhun joined the BBC in 1994, with his career in journalism lasting for nearly 20 years. He was BBC Wales’ Chief Political Correspondent and presented a number of political and news programmes on both television and radio.
He has been the AM for Ynys Môn since 2013, winning the by-election caused by Ieuan Wyn Jones’ resignation.
During the last Assembly term, Rhun was Plaid’s Shadow Minister for Economy and Transport, but since 2016 has been Plaid Cymru’s Shadow Health Secretary
He is currently a member of the Health, Social Care and Sport Committee and is the Chair of the Cross Party Group, Wales International.
In his spare time, Rhun is a juniors coach with Llangefni Rugby Club. He is also Plaid’s Director of Communications.