This decision would soon prove to be very rewarding, as he made a great contribution to the disciplines of linear algebra and category theory by developing a new operation that has many mathematical applications, such as in cryptography, and can also find uses in theoretical physics.
Yves constructed an efficient operation for the factorization of polynomials using matrices. His algorithm is demonstrably better than the more standard approaches on a large class of polynomials that he calls "summand-reducible.” This algorithm also led Yves to define a new abstract structure in category theory known as a “right pseudo-monoidal category". The work Yves completed during his thesis led to new understandings of structures in both physics and commutative algebra. It is quite likely that further studies will lead to even more important applications, and Yves is actively engaged in this research
Now a PhD graduate, Yves owes a large portion of his success to his supervisor, Professor Richard Blute, as well as members of the Logic and Foundations of Computing Group: Profs. Philip Scott and Pieter Hofstra. Yves is equally thankful for the financial support received through his Queen Elizabeth Diamond Jubilee Scholarship and Bank of Montreal financial group award, as well as for funding from the Natural Sciences and Engineering Research Council of Canada.
Throughout his graduate studies, Yves's love of mathematics education led him to work as a teaching assistant (TA), earning him the title of TA of the Year in 2016-2017. Yves hopes to become a Mathematics Professor. He plans to achieve this goal by putting in hard work and writing top-notch research papers, as he believes that "a humble researcher accomplishes a lot.”
