Here is a pretty good link discussing Brand Management:
https://www.answermba.com/MBA_Career/Marketing.html"At the highest level, Brand Managers supervise the marketing function for a specific brand of a consumer product. Brand managers are often compared to small business owners because they assume responsibility for a brand or a brand family. They always focus on the big picture. It is a job of a Brand Manager to distill the brand's essence, map out competitors in their brand category, identify marketing opportunities, and be able to effectively communicate the unique benefits of that product or service."
I would say look at the list of top marketing schools (Business Week by Specialty), Kellogg, Haas, Duke, Harvard, Indiana, Ross, UNC, Wharton, McCombs, and Darden