Mr. AI Product Manager

You are right to emphasize your work in artificial intelligence which is obviously a hot topic and one that will play increasing importance in business and life. Sadly, however, I am not all that optimistic about Harvard for you. There are multiple reasons for this but I also do not want to discourage you but rather to convince you to expand your range of MBA programs beyond the most elite business schools.

The reasons you face to tough time:
1) You work for a startup that will not be well known to admission officials and therefore will be deemed to be not highly selective.
2) You have a GMAT score below the class median of 730. That wouldn’t be a major issue at HBS if you were not a male engineer from India, the most overpopulated part of the elite MBA applicant pool.
3) Your extras are not helping you because they do not position you as a leader or potential leader.
4) Your post-MBA goal is fine except it doesn’t build and therefore reinforce the AI emphasis in your profile. It should.
4) It’s typically okay to have a single red flag in your application. No one, afterall, is perfect. But you have several and HBS is likely to find similar candidates who they simply like better because they got their degrees from IIT, work for Google, Microsoft, McKinsey, or Bain, and held leadership positions in their extras.

I still think you should apply to HBS but I would seriously rethink your strategy of applying to Stanford, Wharton, MIT and Yale. I would drop Stanford and Wharton and add schools like Michigan Ross, UVA Darden, and UCLA Anderson. If you execute a strong application, you have a real shot at these other still highly selective MBA programs that offer world class MBA experiences that in many cases exceed the programs at those big brand schools you are targeting.