Zonshen Yu

Student NameZonshen Yu
Faculty Mentor NameMiklós Bóna
CollegeCollege of Liberal Arts and Sciences
MajorMathematics and Statistics
MinorComputer Science
Research InterestsCombinatorics, Discrete Mathematics, Computer Science
Academic AwardsUniversity Scholars Program 2020, National Merit Scholarship
OrganizationsUniversity Math Society, Gator Student Investment Fund
Hobbies and InterestsReading, Video games

Research Project

Comparing Principal Permutation Classes?

A permutation of length n is a rearrangement of numbers from 1 through n, written as a list of those numbers. A principal permutation class is the set of all permutations that don’t contain a permutation as a pattern. For instance, with 321 as our pattern, the associated principal permutation class is the set of permutations that don’t contain 3 decreasing numbers when read from left to right. The primary topic of interest in this area is counting just how many permutations of each length are in a principal permutation class. Very little is known about exact counts. Instead, in this project, we investigate how some specific classes relate to each other.