From the management:

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Dear Aaron,

I am in receipt of your letter regarding complaints from the person in the apartment below you.

After reading the letter I have come to two conclusions.
1. You have been overly compliant with respecting the issues of the neighbor.
2. You have rights as a resident and do not need to be hassled by a neighbor.

I have written him a letter and if this continues please inform the office immediately. If he knocks on your door you can choose not to answer it and call the resident manager @ XXX-XXXX. You can call them at any time and they will respond and come over to address the problem.