POWER OF ATTORNEY

     KNOW ALL BY THESE PRESENTS, that the undersigned hereby authorizes Hemmie
Chang, Daniel Clevenger and Robert W. Sweet, Jr., each of Foley Hoag LLP, to
execute for and on behalf of the undersigned, in the undersigned's capacity as
an officer of Applied Genetic Technologies Corporation (the "Company"), a Form
ID, Forms 3, 4 and 5, and any amendments thereto, and cause such form(s) to be
filed with the United States Securities and Exchange Commission pursuant to
Section 16(a) of the Securities Act of 1934, relating to the undersigned's
beneficial ownership of securities in the Company. The undersigned hereby grants
to the attorney-in- fact full power and authority to do and perform any and
every act and thing whatsoever requisite, necessary or proper to be done in the
exercise of any of the rights and powers herein granted, as fully to all intents
and purposes as the undersigned might or could do personally present, with full
power of substitution, resubstitution or revocation, hereby ratifying and
confirming all that such attorney-in-fact, or such attorney's-in-fact substitute
or substitutes, shall lawfully do or cause to be done by virtue of this power of
attorney and the rights and powers herein granted. The undersigned acknowledges
that the foregoing attorney-in-fact, in serving in such capacity at the request
of the undersigned, is not assuming, nor is the Company assuming, any of the
undersigned's responsibilities to comply with Section 16 of the Securities
Exchange Act of 1934.

     This Power of Attorney shall remain in full force and effect until the
undersigned is no longer required to file Forms 3, 4 and 5 with respect to the
undersigned's holdings of, and transactions in, securities issued by the
Company, unless earlier revoked by the undersigned in a signed writing delivered
to the foregoing attorney-in-fact.

     IN WITNESS WHEREOF, the undersigned has caused this Power of Attorney to be
executed as of this 29th day of November, 2016.

                                               /s/ Michael Goldstein
                                              ----------------------------------
                                              Michael Goldstein