Choosing a supervisor is one of the most important decisions you'll make in graduate school. They'll be your mentor and adviser, and you'll work together closely throughout your graduate career.
You should select a supervisor with a strong record of research and publication in your area of interest. When looking into potential supervisors for your program, become familiar with the type of research they do and their working style.
Contact each of your potential supervisors to discuss your research interests, and see if they would be interested and available. Be sure to ask them about their availability during your graduate program, and whether they're planning any extended absences during that time. When considering potential supervisors you should talk to several professors before asking one to become your supervisor. Be sure you understand what your prospective supervisor would expect of you as a graduate student.
NOTE: The following faculty members will NOT be taking new neuroscience students for the 2019-2020 academic year, please do not contact them regarding supervision: L. Archibald, A. Brown, S. Cregan, M. Duennwald, D. Jones, S. Leung, W. Lu, S. MacDougall-Shackleton, R. Martin, D. Sherry and R. Stevenson