Here is the entire quote from their website.
Piano
Applications must be postmarked on or before Dec. 1, 2002. No late applications will be accepted.
All pieces must be performed from memory. An exception may be permitted in the case of some 20th-century pieces. Permission must be granted by the Juilliard piano faculty upon request. Applicants whose programs do not meet the following requirements will not be scheduled for an audition.
Any changes to the audition program made after submitting the application must be approved by the department chair.
Undergraduate: Bachelor of Music and Diploma
All undergraduate applicants must submit a standard CD or cassette tape with the application. Current pre-college students are exempt. The tape should include only Nos. 2 and 3 from the audition repertoire. Name and address should appear on both the tape and the tape cover. The entire audition program should reach a minimum of 45 minutes. Shorter programs may be subject to approval by the piano faculty.
A prelude and fugue from The Well-Tempered Clavier or another work of Bach containing a fugue. (No transcriptions are permitted.)
An entire sonata by Beethoven excluding Opp. 14, 49, and 79, or the Haydn Sonata in Eb Major, Hob. XVI:52, or the Mozart Sonata in D Major, K. 576, or one of the following Schubert sonatas: C Major, Op. 78; A Minor, Op. 143; A Minor, Op. 42; D Major, Op. 53, or one of the three posthumous sonatas, or the Wanderer Fantasie .
A substantial composition by Chopin, Schumann, Brahms, Liszt, or Mendelssohn. (Etudes, nocturnes, short dances or comparable pieces are not acceptable.)
A work by a representative 20th-century composer.
One virtuosic etude by Bartók, Chopin, Debussy, Liszt, Prokofiev, Rachmaninoff, Scriabin, or Stravinsky.
Graduate: Master of Music Degree or Graduate Diploma
All graduate applicants not currently enrolled at Juilliard must submit a standard CD or cassette tape with the application. The tape should include No. 2 and No. 3 from the audition repertoire. Name and address should appear on both the tape and the tape cover. The entire audition program should reach a minimum of 60 minutes. Shorter programs may be subject to approval by the piano faculty.
Any major work of Bach.
An entire sonata by Beethoven excluding Opp. 14, 49, and 79, or the Haydn Sonata in Eb Major, Hob. XVI:52, or the Mozart Sonata in D Major, K. 576, or one of the following Schubert sonatas: C Major, Op. 78; A Minor, Op. 143; A Minor, Op. 42; D Major, Op. 53, or one of the three posthumous sonatas, or the Wanderer Fantasie .
A substantial composition by Chopin, Schumann, Brahms, Liszt, or Mendelssohn. (Etudes, nocturnes, short dances, or comparable pieces are not acceptable).
A work by a representative 20th-century composer.
One virtuosic etude by Bartók, Chopin, Debussy, Liszt, Prokofiev, Rachmaninoff, Scriabin, or Stravinsky.
D.M.A. Program and Artist Diploma
All pianists auditioning for the D.M.A. or Artist Diploma who are not currently enrolled at Juilliard must submit a standard CD or cassette tape of No. 2 and No. 3 of the required audition repertoire for the faculty to pre-screen by the deadline.
A prelude and fugue from The Well-Tempered Clavier or another major work of Bach. (No transcriptions are permitted.)
Choose one of the following:
a. One sonata by Beethoven: Sonata Op. 2, Nos. 2 or 3; Op. 7; Op. 10, No. 3; Op. 22; any sonata later than Op. 28, excluding Opp. 49 and 79.
Or:
b. One sonata by Schubert: A Minor, Op. 42; G Major, Op. 78; D Major, Op. 53; A Minor, Op. 143; any of the three posthumous sonatas; or the Wanderer Fantasie.
Two substantial works by different composers, one of which must be chosen from composer-group A:
Group A:
Chopin
Schumann
Brahms
Liszt
Mendelssohn
The second piece may be by another composer from group A or one from group B.
Group B:
Composers who flourished during the late 19th or early 20th century. This group includes, but is not limited to , Tchaikovsky, Mussorgsky, Scriabin, Rachmaninoff, Busoni, Fauré, Debussy, Ravel, and Grieg.
A substantial 20th-century work by a composer post-dating Impressionism.
Topic: Next piece for me to learn?