The names of top Colleges or Institutes in World that offer Aerospace Engineering in their curriculum as your brother wants to take admission in it are as follows:

California Institute of Technology CA
Massachusetts Institute of MA
Technology
Stanford University CA
University of Michigan MI
Ann Arbor
Georgia Institute of GA
Technology
Purdue University IN
West Lafayette
Princeton University NJ
University of Illinois Urbana IL
Champaign
Cornell University NY
Texas A&M University College TX
Station (Look)
University of Maryland MD
College Park
University of Texas Austin TX
Virginia Tech VA
Pennsylvania State University PA
University Park
University of California Los CA
Angeles (Samueli)
University of CO
Colorado Boulder
University of MN
Minnesota Twin Cities
University of Southern CA
California (Viterbi)
University of Washington WA
Rensselaer Polytechnic Institute NY
Ohio State University OH
Iowa State University IA
University of California CA
San Diego (Jacobs)
University of Florida FL
University of Notre Dame IN
Case Western Reserve University OH
North Carolina State University NC
Arizona State University (Fulton) AZ
Rutgers, the State University NJ
of New Jersey New Brunswick
University of California CA
Irvine (Samueli)
University of Arizona AZ
University of California Davis CA
University of Cincinnati OH
University of Virginia VA