UCalgary Algebra and Number Theory Seminar: Dang-Khoa Nguyen

Over the years, there have been several open problems involving polynomials that I would love to tell others about. This opportunity to speak at my “home ground” seems the perfect time to do so. More specifically, I will discuss the following: 

• A conjecture of Ruzsa for integers and a related problem in a joint work with Bell for polynomials over finite fields. 
• A conjectural lower bound for the degree of irreducible factors of certain polynomials from a joint work with DeMarco, Ghioca, Krieger, Tucker, and Ye. 
• The irreducibility of certain Gleason polynomials.