Student or Learner
Which one is correct?
X's Photograghy OR X Photography
X = Person's name
It's a lot easier to sort this out with an actual name. I have a friend call Simon who is a photographer. His business name is "Simon P Photography" and that is absolutely fine. If I were referring to his body of work, I would say "I really like Simon's photography".
Remember - if you don't use correct capitalisation, punctuation and spacing, anything you write will be incorrect.