Search

Author:

Katz, Matthew H

Title:

On the Number of a x b Quotient Diagrams of Integer Partitions

Graduate Program:

Mathematics

Keywords:

integer partitions
t-core partitions
quotient diagrams
Ferrers diagrams
generating functions

File:

Download MattKatz-Dissertation.pdf

Committee Members:

George E Andrews, Dissertation Advisor/Co-Advisor
Ae Ja Yee, Committee Member
James Allen Sellers, Committee Member
Murali Haran, Special Member

Author:

Flynn, Ryan Thomas

Title:

Quaternion algebras and elliptic curves over function fields of finite characteristic

Graduate Program:

Mathematics

Keywords:

elliptic curve
shimura curve
quaternion algebra
function field
number theory
uniformization
automorphic form

File:

Download Ryan_Flynn_PhD_Thesis.pdf

Committee Members:

Mihran Papikian, Dissertation Advisor/Co-Advisor
Mihran Papikian, Committee Chair/Co-Chair
Wen Ching W Li, Committee Member
A Kirsten Eisentraeger, Committee Member
Emily Rolfe Grosholz, Special Member

Author:

Han, Ke

Title:

An Analytical Approach to Sustainable Transportation Network Design

Graduate Program:

Mathematics

Keywords:

Transportation Engineering
Dynamic User Equilibrium
Transportation Network Design
Sustainability

File:

Download Ke_Han-Dissertation.pdf

Committee Members:

Alberto Bressan, Dissertation Advisor/Co-Advisor
Terry Lee Friesz, Dissertation Advisor/Co-Advisor
Qiang Du, Committee Member
Chun Liu, Committee Member
Lyle Norman Long, Committee Member
Tao Yao, Committee Member

Author:

Wray, Kyle Hollins

Title:

Altruists and Egoists: A Local Interaction Model of Imitation in Social Graphs

Graduate Program:

Mathematics

Keywords:

imitation dynamics
prisoner's dilemma on graphs

File:

Download KyleWray-MathThesis.pdf

Committee Members:

Eli Christopher C Byrne, Thesis Advisor/Co-Advisor

Author:

Ji, Xiang

Title:

Deformation Problems In Lie Algebroids And Extended Poisson Geometry

Graduate Program:

Mathematics

Keywords:

Lie algebroid
Lie subalgebroid
extended Poisson manifold
coisotropic submanifold
deformation

File:

Download dissertation.pdf

Committee Members:

Ping Xu, Dissertation Advisor/Co-Advisor
Ping Xu, Committee Chair/Co-Chair
Nigel David Higson, Committee Member
Adrian Ocneanu, Committee Member
Mathieu Philippe Stienon, Committee Member
Martin Bojowald, Committee Member

Author:

Yashinski, Allan Anthony

Title:

Periodic cyclic homology and smooth deformations

Graduate Program:

Mathematics

Keywords:

deformations
cyclic homology
Gauss-Manin connection
noncommutative tori
noncommutative geometry

File:

Download AllanYashinski-Dissertation.pdf

Committee Members:

Nigel David Higson, Dissertation Advisor/Co-Advisor
Nathanial Patrick Brown, Committee Member
John Roe, Committee Member
Radu Roiban, Committee Member

Author:

Bai, Qichuan

Title:

Dynamic buckling and tension of an elastic beam under impact of a projectile

Graduate Program:

Mathematics

Keywords:

dynamic buckling
tension
energy law
Chebyshev spectral method
hook

File:

Download MasterFinal_Qichuan2.pdf

Committee Members:

Andrew Leonard Belmonte, Thesis Advisor/Co-Advisor

Author:

Wei, Deling

Title:

Models of Noncooperative Games

Graduate Program:

Mathematics

Keywords:

differential game
Nash or Stackelberg equilibrium feedback solution
optimal pricing strategy
bidding game
limit order book

File:

Download DelingWei_PHD_thesis.pdf

Committee Members:

Alberto Bressan, Dissertation Advisor/Co-Advisor
Alberto Bressan, Committee Chair/Co-Chair
Qiang Du, Committee Member
Xiantao Li, Committee Member
Anna L Mazzucato, Committee Member
Terry Lee Friesz, Committee Member

Author:

Yu, Shilin

Title:

The Dolbeault dga of a formal neighborhood

Graduate Program:

Mathematics

Keywords:

differential graded category
differential graded algebra
formal neighborhood
derived category
complex manifold

File:

Download Shilin_Yu-Dissertation.pdf

Committee Members:

Nigel David Higson, Dissertation Advisor/Co-Advisor
Paul Frank Baum, Committee Member
Ping Xu, Committee Member
Radu Roiban, Committee Member

Author:

Song, Yan Li

Title:

Geometric Quantization, reduction and K-homology

Graduate Program:

Mathematics

Keywords:

geometric quantization
bordism
geometric K-homology
symplectic reduction

File:

Download Yanli-Dissertation.pdf

Committee Members:

Nigel David Higson, Dissertation Advisor/Co-Advisor
Nigel David Higson, Committee Chair/Co-Chair
Paul Frank Baum, Committee Member
Ping Xu, Committee Member
Martin Bojowald, Committee Member