# Students and postdoctoral fellows

#### Prospective graduate and NSERC summer students:

Students who want to work with me should have a good knowledge in algebra (a 3rd year algebra course, e.g., the University of Ottawa course MAT 3143) or linear algebra (3rd year course in linear algebra, e.g. the University of Ottawa course MAT 3141).
The project will be based on the student's background and interests and will usually be a mixture of independent reading and work on a research problem, see USRA for an example of a possible topic.
Students will be supported financially by an
NSERC Undergraduate Student Research Award, the University of Ottawa's
Undergraduate Research Opportunity Program, or the
Work-Study Program.
If you are interested or want to know more, just send me an email.

Information on the department's graduate program is given
here. Below is a short description of possible thesis projects for students working under my supervision. Theses can be written in French or English.

* M.Sc. projects on Lie algebras: * These projects will lead the student to a research topic of present interest. Besides being being interesting in their own right, the
topics will provide an ideal introduction to the theory of Lie algebras
and in this way a good preparation for student interested in writing
a Ph.D. thesis on Lie algebras.

* Ph.D. projects on Lie algebras:* These projects will build on my recent work as well as the work of my recent Ph.D. students in the area of root-graded Lie algebras and extended affine Lie algebras. An introduction to these areas will be provided through lecture and reading courses, but a good knowledge of the structure theory of finite-dimensional Lie algebras, e.g. Chapters I -- VI of Humphreys' book mentioned above, would be very helpful.

#### Past UROP projects:

Khoa Pham: project on * the Dynkin index of Lie algebras*

#### Past undergraduate summer students:

Doan An Khuong (summer 2015, MITACS Global Link Internship) picture
Camille Mirmiran (summer 2014, UoO work study program, COOP student)
François-Xavier Chaplain Corriveau (NSERC USRA, summer 2014)
Khoa Pham (UoO work study program, summers 2011 and 2012)
Miriam Grimberg (NSERC USRA, summer 2010)
Jerome Lefebvre (NSERC USRA, summer 2008)
Emilie Richer, (NSERC USRA, summers 2002 and 2003)
Lynn Shaddick, (NSERC USRA, summers 2002 and 2003)

#### M.Sc. theses supervised:

Khoa Pham (2014): Trace formulas, invariant
bilinear forms and Dynkin indices of Lie algebra representations over rings (thesis)
Marc-Antoine Leclerc (2012, co-supervision with Kirill Zaynullin):
Homogeneous Projective Varieties of Rank 2
Groups (thesis)
Negin Mehrdad (2012): The Centroid of Lie algebras (project)
Caroline El-Chaar (2010, co-supervision with Alistair Savage): The Onsager
algebra (thesis)

#### Ph.D. theses supervised:

Maiko Serizawa (Ph.D. 2021, co-supervision with Kirill Zaynullin):
Twisted Quadratic Foldings of Root Systems and Combinatorial Schubert Calculus.
Marc-Antoine Leclerc (Ph.D 2016, co-supervision with Kirill Zaynullin):
The Hyperbolic Formal Affine Demazure Algebra.
Gholamreza Behboodi Eskandari (Ph.D., visiting graduate student from the University of Isfahan, picture)
Angelika Welte (2009):
Central extensions of graded Lie algebras.
Samina Bashir (2008):
Automorphisms of simple anti-Jordan pairs.
Ana Duff (2002):
Derivations, invariant forms and the second homology group of orthosymplectic Lie superalgebras.
Yoji Yoshii (1999): The coordinate algebra of
extended affine Lie algebras of type A1.

#### Past Postdoctoral fellows:

Uladzimir Yahorau, (postdoctoral fellow, co-supervision with Yuly Billig and Kirill Zaynullin, picture at the Gros Morne Algebra conference in August 2015; in case of doubt: I am the guy on the left)
Nathan Manning (July 2012- June 2014, co-supervision with Hadi Salmasian and Alistair Savage)
Sanghoon Baek (September 2010 - July 2011, co-supervision with Kirill Zaynullin)
Juana Sanchez Ortega (January 2010 - July 2010), research interests: associative and Lie algebras.
Simon Huggenberger (January-February 2010), research interests: incidence geometry and Jordan pairs.
Angelika Welte (January 2010-August 2010), research interests: central extensions of root-graded Lie algebras
Jie Sun (September 2009 - August 2010), research interests: central extensions of Lie algebras, Galois descent.
Prasad Senesi (January 2008 - July 2009, co-supervision with Alistair Savage), research interests: affine Lie algebras.
Daniel Mondoc (May and June 2007),
research interests: Kantor triple systems
Irene Paniello (March - July 2006, March-July 2007, May - July 2008), research interests: Jordan structures
Malihe Yousofzadeh (October 2005 - March 2006), research interests: Extended affine Lie algebras
Michael Lau (July 2004 - April 2007), NSERC PDF (January
2005-December 2006), research interests: representations of Lie algebras, cyclic homology
Maribel Tocon (January 2004 - November 2006), research
interests: Jordan and Lie algebras