依據您所提供的資料
The residency created under this Lease shall continue for a like term after its expiration, subject to same terms and conditions set forth herein. If the Managing Agent or the Resident decides not to renew this Lease, written notice of at least 90 days prior to the expiration date of the existing lease term, is required.
所以對方的要求是在原本合約之內,因此依據這個條款,對方無需與您簽 2012-2013 的約,如果您沒有要求任何租約內容改變,同時 90 天的要求也是合約中所要求的...