As Leeさん mentioned above, a deaf person can be 聴覚障害者　(ちょうかくしょうがいしゃ) and the deaf education is 聴覚障害教育 (ちょうかくしょうがいきょういく). However, "聴覚障害" covers both 聾 (ろう: deaf)　and 難聴(なんちょう:hearing difficulties). ”聾” is also used like 聾学校（ろうがっこう）: school for the deaf students,　聾教育（ろうきょういく）: deaf education, 聾者（ろうしゃ）： the deaf people, etc.

I think it sounds a bit "book-ish," but one way to refer to a deaf person is 聴覚障害者　(ちょうかくしょうがいしゃ = lit. "hearing-impaired person"). Then you could combine this with the word for education (教育＝きょういく) and say: 聴覚障害者の教育を勉強しています。 ちょうかくしょうがいしゃのきょういくをべんきょうしています。 I study Deaf Education. From my experience, this appears to be an accepted term, but a native speaker should also comment to be absolutely certain.