Avleen Kaur

I work under the supervision of Prof. Shaun Lui.
My research interests are linear algebra, numerical analysis, and partial differential equations.

Education

PhD Mathematics: - University of Manitoba; - Supervisor: Shaun Lui
MSc Mathematics: - University of Manitoba; - Supervisors: Craig Cowan, Shaun Lui; - Thesis: Eigenvalue problem of Uzawa pressure operator
MSc Mathematics and Scientific Computing: - Motilal Nehru National Institute of Technology; - Supervisor: Gorakh Nath; - Thesis: Series solution of schock wave problems

Student/Post-Doctoral Presentation Prize, Connecting Women in Mathematics Across Canada
Graduate Award for Excellence in Mathematics
Dr. Murray Gordon Bell Graduate Student Award
Second Prize for Graduate Seminar
Gold Medal in Master of Science
Merit Student in Bachelor of Science

For full list, see CV .

Space-time ultraspherical spectral method for linear PDEs, with S.H.Lui. (In preparation)
A Space-time spectral method for the Navier-Stokes problem with High Reynold's number. (In preparation)
A Space-time spectral method for the Stokes problem, with S.H.Lui. (In submission)
New lower bounds for the minimum singular value of a matrix, with S.H. Lui. (In submission)
On the blast wave propagation and structure in a rotational axisymmetric perfect gas, with G.Nath and S. Chaurasia.

The following are my current and past research projects.

Instructor: - MATH 2132-Engineering Mathematical Analysis 2; - Winter 2021
Research Mentor: - for undergraduate research project in Winter 2022; - Manitoba eXperimental Mathematics Laboratory
Teaching Assistant: - First year courses: Applied Finite Mathemetics, Calculus I, Classical Techniques of Linear Algebra, Elementary Discrete Mathematics, Mathematics in Art, Vector Geometry and Linear Algebra; - Second year courses: Introduction to Analysis, Linear Algebra II, Mathematics for Data Science, Mathematical Modelling, Multivariable Calculus, Numerical Analysis I; - Math Help Centre for all courses; - Fall 2015 to PRESENT
Instructor for workshops: - Math Boot Camp; - PIMS-JUMP Math Workshop; - Saturday Workshop Series
Tutor: - Access and Aboriginal Focus Programs; - Aboriginal Nursing Cohort Initiative; - Pathway to Indigenous Nursing Education

For full list, see CV .