Mahsa N Shirazi | PIMS - Pacific Institute for the Mathematical Sciences

PIMS Postdoctoral Fellow, University of Manitoba

Mahsa N Shirazi is a PIMS-CRG postdoctoral fellow at the University of Manitoba, under the supervision of Karen Gunderson. Her research is centered around using graph theory to answer questions that arise in design theory. Her current research project is on a special type of strongly regular graphs called r-friendship graphs. She is also interested in EKR problems on different mathematical objects, like perfect matchings and uniform set-partitions. She is also interested in Matrix theory and linear algebra.

She completed her Ph.D. at the University of Regina under the supervision of Shaun Fallat and Karen Meagher. Her main Ph.D. research was on the extensions of the famous Erdös-Ko-Rado theorem to t-intersecting families of perfect matchings in graphs. She obtained her master's degree in numerical linear algebra at the Shiraz University of Technology, under the supervision of Behnam Hashemi. Besides research and studying, she also enjoys painting and baking.

An interesting question in spectral graph theory is about the structure of the eigenvectors of matrices associated with graphs. A graph is weakly Hadamard diagonalizable (WHD) if its Laplacian matrix L can be diagonalized with a weakly Hadamard...

For r ≥ 1, a graph has r-friendship property if every pair of vertices has exactly r common neighbours. The motivation for this definition is from the friendship theorem, which is on the graphs with 1-friendship property. The friendship theorem...