He is known for essays such as Las reglas del caos, Leer con niños or Capitalismo y nihilismo.

[2] Alba earned a licentiate degree in philosophy from the Complutense University of Madrid.

[2] He joined the crew of TVE's children show La bola de cristal (created by his mother) as a screenwriter (1984–1988), introducing content under a Marxist point of view.

[6] He was opposed to the rule of Muammar Gaddafi and Bashar al-Assad in the context of the Libyan and Syrian conflicts.

[7] Podemos presented Alba as their candidate for the Senate in the constituency of the province of Ávila (he owns a residence in Piedralaves) vis-à-vis the December 2015 general election,[6] failing to win the seat.