University of Kansas
Ph.D. in Mathematics (expected)
Curriculum Vitae
Education
University of the Pacific
B.S. in Mathematics with Honors
San Joaquin Delta College
A.S. in Mathematics
Research Experience
Undergraduate Honors Thesis
Continuation of my research from my Summer Undergraduate Research Fellowship into my honors thesis. I loosened the assumptions on the proof for dimer models and quivers with potential and classified the cases where loosening the assumptions further leads to counterexamples. Some of the mentioned claims can be found in the 2024 Maurice Auslander Distinguished Lectures and International Conference, presented by my advisor.
Experimental Math Lab Project Presentation
Participated in research project with three other undergraduates to investigate and compare the convergence rates of decimal and continued fraction approximants of numbers in [0, 1].
Summer Undergraduate Research Fellowships
I proved that a variant of urban renewal of dimer models induces mutations of quivers with potential at 4-valent vertices. I also modified Dr. Bernhard Keller's Java application to compute mutation classes of quivers by mutating quivers only at 4-valent vertices to study the resultant mutation classes.
Talks and Presentations
Restricted Quiver Mutation and n-Face Urban Renewal in Dimer Models
Talk at KU Combinatorics Seminar, University of Kansas
A Brief Introduction to Quiver Mutation and Finite Mutation Type
Talk at KU Combinatorics Seminar, University of Kansas
Mutations of Quivers with Potential and Dimer Models
Talk at Joint Mathematics Meetings, San Francisco, CA
Relationship of Mutation Dimer Graphs at 4-Faces and Quiver Mutations at 4-Valent Vertices
Poster presentation at Pacific Undergraduate and Creativity Conference, Stockton, CA
Workshops and Summer Schools
Park City Mathematics Institute Summer School
Selected as one of thirty undergraduate mathematics majors worldwide to participate in the IAS Park City Mathematics Institute outreach program in quantum computation. Participated in research project with three other undergraduates on the convergence rates of continued fractions and presented the results at the summer school.
Teaching Experience
Art of Problem Solving
Instructor at Art of Problem Solving Online School
Art of Problem Solving
Instructor at Art of Problem Solving Virtual Campus
The University of Kansas
Instructor at University of Kansas
Pacific Math Club Lecture Series: Topology
Lecturer at Pacific Math Club
Pacific Math Club Lecture Series: Complex Analysis
Lecturer at Pacific Math Club
Math Hub Tutor
Tutor at University of the Pacific
MATH 093 (UOP)
Teaching assistant at University of the Pacific
Art of Problem Solving
Teaching Assistant at Art of Problem Solving Online School
Honors and Awards
Outstanding Graduating Senior in Mathematics
Selected as the outstanding graduating senior in mathematics for contributions to the communities by giving lectures in core areas of mathematics not offered as courses at the university and overall academic achievement
Summa Cum Laude
Dean's Honor Roll
Maintained semester GPA of 3.5 or higher.
Summer Undergraduate Research Fellowships Awardee
One of five awardees of University of the Pacific's SURF program for faculty-mentored research.
High Honors
Honor Societies
Phi Kappa Phi
Pi Mu Epsilon