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Author:

Zhou, Hangyu

Title:

Topology and Data Analysis

Area of Honors:

Mathematics

Keywords:

hoomology
topological data analysis
persistent homology
algebraic topology

File:

Download Zhou_Hangyu_Topology_and_Data_Analysis.pdf

Thesis Supervisors:

John Roe, Thesis Supervisor
Sergei Tabachnikov, Thesis Honors Advisor

Author:

Zhu, Mengxue

Title:

Mathematical Interpretation of the Financial Terms in Interest Models Theory and Practice

Area of Honors:

Mathematics

Keywords:

Interest rate model
mathematical interpretation

File:

Download thesis0406.pdf

Thesis Supervisors:

Manfred Heinz Denker, Thesis Supervisor
Luen-Chau Li, Thesis Honors Advisor

Author:

Liu, Shikun

Title:

Variational Generative Models

Area of Honors:

Mathematics

Keywords:

variational inference
generative model
3D Shape Learning

File:

Download psu_thesis.pdf

Thesis Supervisors:

Clyde Lee Giles, Thesis Supervisor
Sergei Tobachnikov, Thesis Honors Advisor

Author:

Litman, Matthew Chad

Title:

Sphere Eversion: Analysis of a Veridical Paradox

Area of Honors:

Mathematics

Keywords:

topology
sphere eversion
mathematics

File:

Download M_Litman_Thesis.pdf

Thesis Supervisors:

Sergei Tabachnikov, Thesis Supervisor
Nathanial Patrick Brown, Thesis Honors Advisor

Author:

Nicodemus, Patrick Blair

Title:

A Recursive Presentation of the Graphon Space

Area of Honors:

Mathematics

Keywords:

graph theory
graphon
descriptive set theory
effective descriptive set theory
graph homomorphisms
effective Polish space
recursive presentation

File:

Download Nicodemus_Patrick_RecursivePresentation.pdf

Thesis Supervisors:

Jan Severin Reimann, Thesis Supervisor
Nathanial Patrick Brown, Thesis Honors Advisor

Author:

Shen, Yuefei

Title:

ON CUBIC PARTITIONS AND PARTITIONS CLASSIFIED BY SMALLEST MISSING PART

Area of Honors:

Mathematics

Keywords:

partitions
cubic partitions
combinatorics

File:

Download thesis.pdf

Thesis Supervisors:

George E. Andrews, Thesis Supervisor
Anne Kirsten Eisentraeger, Thesis Honors Advisor