Giving zakaah to one who is seeking worldly knowledge
It is permissible to give zakaah to a seeker of worldly knowledge who does not have enough to support him, if the knowledge that he is studying is permissible and is needed, so that he will be able to work and find a job, because getting these certificates has become a real necessity without which one cannot usually find employment.
Al-Mardaawi says in
al-Insaaf (3/218): Shaykh Taqiy al-Deen favoured the view that it is
permissible to take zakaah in order to buy books that he needs
books of knowledge that is indispensable for his religious and
affairs. End quote.
And this is the correct view.
Based on this, there is nothing wrong with your giving the zakaah of your wealth to (the needy student).