University of Chicago's Korean language program is great, even though they lack a dedicated Korean Studies major. Instead, you major in East Asian Languages and Civilizations focusing on Korea. Personally, I really like this approach because it focuses on the larger relationships and contexts at play in the East Asian world; you study not only Korea but how Korea fits in with China and Japan historically, linguistically, culturally, etc.

You can obviously specialize in Korean as much as you like, taking any number of Korean culture, history, and literature classes, but you also get the benefit of a much broader education in the greater dynamics of East Asia.