As per the information available on Stern's website, the initial notification date is 01st August. This means that you will not receive any information before that or see any changes in your application status before that. Although there may be other students like you but as the applications are accepted till July, I doubt that your application will be treated any different from others.
Still you can atleast write to Adcom mentioning about the job offers in two places and that an admit in Stern would help you in deciding about that. but don't keep your hopes too high for the early notification.
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