Becoming a Golden Hawk means more than just cheering on our (really good) varsity teams – it means being a student who cares about your community, who works hard in the classroom, and who takes advantage of all the learning opportunities that can happen outside the classroom, too.
I received my PhD in 2011 from Quaid-i-Azam University, Islamabad, Pakistan, under the supervision of Professor S.D. Bulman-Fleming (Wilfrid Laurier University) and Professor Q. Mushtaq (Quaid-i-Azam University). From 2011 to 2014 I was a postdoctoral fellow at the Institute of Mathematics and Statistics, University of Tartu, Estonia. During 2013/14, I also worked at the Department of Pure Mathematics, Faculty of Mathematics, University of Waterloo as a visiting researcher.
Prior to joining Laurier, I worked as a term assistant professor for the winter 2015 term at Cape Breton University, Sydney, Nova Scotia.
Research Interests / Ongoing Projects
I am studying different types of morphisms (particularly, epimorphisms), factorization systems, amalgamation, and congruence, quasiorder and representation extension properties in the categories of ordered algebraic structures. Because, for the unordered algebras, congruence extension, amalgamation and surjectivity of epimorphisms are intimately related with the deduction, interpolation and Beth definability properties, I am also interested in investigating the connections of the ordered versions of these properties with the mathematical logic. I also study the amalgamation and related properties, such as flatness of S-posts, for ordered semigroups, groups and monoids.
On epimorphisms of ordered algebras with Boža Tasić. Accepted in Algebra Universalis.
Hamiltonian ordered algebras and congruence extension. With Valdis Laan and Lauri Tart. Math. Slovaca 67, No. 4, 819-830 (2017).
On congruence extension properties for ordered algebras. With Valdis Laan and Lauri Tart. Period. Math. Hungar 71(1), 92-111 (2015).
On mono- and epimorphisms in varieties of ordered algebras. With Valdis Laan. Comm. in Algebra 43, 2802–2819 (2015).
Epimorphisms, dominions and amalgamation in pomonoids. Semigroup Forum 90(3), 800-809 (2015).
A note on embedding of semigroup amalgams. With Kristiina Rahkema. Acta Comment.Univ. Tartu. Math. 18 (2), 261–263 (2014).
Zigzag theorem for partially ordered monoids. Comm. in Algebra 42, 2559–2583 (2014).
Absolute flatness and amalgamation in pomonoids. Semigroup Forum 82 (3), 504–515 (2011).
Representation extension and amalgamation in pomonoids. With S.D. Bulman-Fleming. Comm. in Algebra 39, 3631–3645 (2011).
Examples concerning absolute flatness and amalgamation in pomonoids. With S.D. Bulman-Fleming. Semigroup Forum 80 (2), 272–292 (2010).
Publications in peer reviewed conference proceedings:
Epimorphisms, dominions and zigzags for partially ordered semigroups. With Lauri Tart. Proceedings of Kangro-100 Methods of Analysis and Algebra International Conference, 1–6 September 2013, Tartu, Estonia. Published in Acta et Commentationes Universitatis Tartuensis de Mathematica, Volume 18, Number 1, June 2014.
Besides receiving financial support from different funds, I have been able to secure two major research grants. These are MOBILATAS Grant by the Estonian Ministry of Science and IRSIP by the Higher Education Commission, Pakistan.