Relevant Degree Programs
Complete these steps before you reach out to a faculty member!
- Familiarize yourself with program requirements. You want to learn as much as possible from the information available to you before you reach out to a faculty member. Be sure to visit the graduate degree program listing and program-specific websites.
- Check whether the program requires you to seek commitment from a supervisor prior to submitting an application. For some programs this is an essential step while others match successful applicants with faculty members within the first year of study. This is either indicated in the program profile under "Admission Information & Requirements" - "Prepare Application" - "Supervision" or on the program website.
- Identify specific faculty members who are conducting research in your specific area of interest.
- Establish that your research interests align with the faculty member’s research interests.
- Read up on the faculty members in the program and the research being conducted in the department.
- Familiarize yourself with their work, read their recent publications and past theses/dissertations that they supervised. Be certain that their research is indeed what you are hoping to study.
- Compose an error-free and grammatically correct email addressed to your specifically targeted faculty member, and remember to use their correct titles.
- Do not send non-specific, mass emails to everyone in the department hoping for a match.
- Address the faculty members by name. Your contact should be genuine rather than generic.
- Include a brief outline of your academic background, why you are interested in working with the faculty member, and what experience you could bring to the department. The supervision enquiry form guides you with targeted questions. Ensure to craft compelling answers to these questions.
- Highlight your achievements and why you are a top student. Faculty members receive dozens of requests from prospective students and you may have less than 30 seconds to pique someone’s interest.
- Demonstrate that you are familiar with their research:
- Convey the specific ways you are a good fit for the program.
- Convey the specific ways the program/lab/faculty member is a good fit for the research you are interested in/already conducting.
- Be enthusiastic, but don’t overdo it.
G+PS regularly provides virtual sessions that focus on admission requirements and procedures and tips how to improve your application.
Graduate Student Supervision
Doctoral Student Supervision
Dissertations completed in 2010 or later are listed below. Please note that there is a 6-12 month delay to add the latest dissertations.
In this thesis, we accomplish the following three things.1. Defining the shifted q = 0 affine algebras (Chapter 2).2. Explaining what it means for such algebra to act on categories (Chapter 3).3. Giving an example of such a categorical action (Chapter 5).Our motivation comes from the categorification of quantum groups and their action on categories. On the derived categories of coherent sheaves on Grassmannians or partial flag varieties, we try to understand an action via using the language of Fourier-Mukai transformations with kernels inducing by natural correspondences.After decategorifying, the q = 0 shifted affine algebras are similar to the shifted quantum affine algebras defined by Finkelberg-Tsymbaliuk [FT], where some of the relations can be obtained from their relations by taking v = 0 (i.e. the q-analogue).Finally, we relate shifted q = 0 affine algebras to q = 0 affine Hecke algebras. In particular, we use the action of shifted q = 0 affine algebras to construct an action of the q = 0 affine Hecke algebras on the derived category of coherent sheaves on full flag varieties. We also relate this action to the notion of Demazure descent which was introduced in [AK1].