University of Manitoba | PIMS - Pacific Institute for the Mathematical Sciences

The University of Mantioba PIMS site office is located in the Department of Mathematics in Machray Hall at the University of Mantioba (Map).

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There has been extensive study of diagonalization of matrices. Diagonalization can be viewed as using a similarity transform to concentrate the magnitude of all entries within as small a subset of entries as possible. We motivate and present results...

TBA

Applications are now being accepted for the 3MC-PIMS-ICMS Summer School on Quantitative molecular and cellular biology. The school is part of the Maud Menten Institute activities and a series of 3MC-PIMS-ICMS Summer Schools co-organized under the...

Let G = (V, E) be a simple graph of order n. The adjacency matrix of G is denoted by A(G) = [a_ij], where a_ij=1 if {v_i ,v_j} ∈ E and a_ij=0, otherwise. The diagonal matrix of degrees of G, D(G) = [d_ij], is defined by d_ii=d(v_i), and d_ij=0, ∀ i...

Let us ask: What is a "strong" matrix property and why is such a property useful for studying eigenvalues of graphs? During this talk we will attempt to address both questions above by first wandering through some of the developed strong matrix...

Let M be a Hermitian matrix associated to a graph X on n vertices. For any time t \geq 0, the transition matrix of the continuous quantum walk on X relative to M at time t is given by U(t)=exp(itM). For two vertices a and b of X, if there is some...

The signs of the entries of a real matrix can give insight into the eigenvalues of the matrix. A well-known example is the Perron Frobenius theorem for matrices that have no negative entries. As an inverse eigenvalue problem, one can ask for the...

For a fixed $d \in \mathbb{N}$, the non-commutative (nc) universe $\mathbb{M}^d$ is defined as the graded (disjoint) union of $d$-tuples of $n \times n$ (complex) matrices over $n \in \mathbb{N}$. A function $f : \mathbb{M}^d \to \mathbb{M}^1$ is...

In combinatorial matrix theory (CMT) one studies properties of combinatorial matrices, i.e., matrices with entries 0, 1 and -1. For instance, permutation matrices, i.e., (0,1)-matrices with exactly one 1 in every row and column, are interesting...

Many quantum search algorithms are equivalent to coined quantum walks that start from a uniform superposition of arcs and get very close to a state that "concentrates on" some marked vertex. In this talk, we consider a related problem: if we start...

A sign pattern (matrix) has entries in {+, -, 0}. We investigate eigenvalue properties of a sign pattern of order 2n where two of the blocks are prescribed sign patterns of order n, and the other two (order n) blocks are the positive diagonal sign...

The distance matrix of a graph records the length of the shortest path between any two vertices. Graham and Pollak found that when the underlying graph is a tree, the determinant of the distance matrix satisfies a nice, simple formula. In particular...

In this talk, I will introduce group-invariant quantum latin squares and their connection to quantum isomorphisms. There will be some representation theory and finally, we will see a method of constructing Cayley graphs that are quantum isomorphic...

Staff

Position	Name	Email	Phone #	Office
Site Administrator, University of Manitoba	Alison Skopalek	alison.skopalek@umanitoba.ca
Eduction Coordinator - University of Manitoba	Darja Barr	Darja.Barr@umanitoba.ca	+1 (204) 272-1609
PIMS Site Director - University of Manitoba	Stephanie Portet	Stephanie.Portet@umanitoba.ca	+ 1 (204) 474 6933	428 Machray Hall

Name	Original Location	In	Out
Rustum Choksi	McGill University	31 March 2022	10 April 2022

Name	Position	Research Interests	Supervisor	Year
Emanuela Marangone	PIMS Postdoctoral Fellow, University of Manitoba	Commutative Algebra, Combinatorics, and Algebraic Geometry	Susan Cooper	2024
Jeet Sampat	PIMS Postdoctoral Fellow, University of Manitoba	Operator Theory & Analytic Function Theory	Robert Martin	2024
Poornendu Kumar	PIMS Postdoctoral Fellow, University of Manitoba	Operator Theory	Raphaël Clouâtre	2023
Andrii Arman	PIMS Postdoctoral Fellow, University of Manitoba	Combinatorics	Andriy Prymak	2022
Mahsa N Shirazi	PIMS Postdoctoral Fellow, University of Manitoba	Combinatorics	Karen Gunderson	2022
Josh Males	University of Manitoba	Number Theory	Siddarth Sankaran	2021
Meredith Sargent	University of Manitoba	Functional Analysis	Robert T. Martin	2021
Youngmin Park	Postdoctoral Researcher	Ordinary Differential Equations	Stephanie Portet	2021
Christopher van Bommel	University of Manitoba	Combinatorics	Stephen Kirkland	2020
Isam M.A. Al-Darabsah	Postdoctoral Researcher, University of Manitoba	Differential equations, operational calculus	Kang-Ling Liao	2020
Peter Kristel	University of Manitoba	Geometry	Derek Krepski	2020
Edward Timko	Postdoctoral Researcher, University of Manitoba	Operator theory	Raphaël Clouâtre	2019
Fei Qi	Postdoctoral Researcher, University of Manitoba	Category theory homological algebra	Eric Schippers	2019
Sam Cole	University of Manitoba	Algebra	Stephen Kirkland	2018
Sergio DaSilva	University of Manitoba	Algebraic Geometry	Susan Cooper	2018
Seth Wolbert	University of Manitoba	Differential Geometry	Derek Krepski	2018
Jennifer Jaye Vaughan	University of Manitoba	Differential Geometry	Derek Krepski	2016
Ling Xue	University of Manitoba	Biology/Differential Equations	Julien Arino	2016