Sabin Cautis

Professor

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Research Interests

Geometry

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Check requirements
  • 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.
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    • Read up on the faculty members in the program and the research being conducted in the department.
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  • 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:
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ADVICE AND INSIGHTS FROM UBC FACULTY ON REACHING OUT TO SUPERVISORS

These videos contain some general advice from faculty across UBC on finding and reaching out to a potential thesis supervisor.

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.

Shifted q = 0 affine algebras (2019)

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].

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