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Author:

Li, Zhitai

Title:

Linked partition ideals, q-difference equations and difference conditions

Graduate Program:

Mathematics (PHD)

Keywords:

Integer Paritions
Linked Parition Ideals
q-Difference Equations

File:

Download Zhitai_Li-Dissertation.pdf

Committee Members:

George Andrews, Chair & Dissertation Advisor
Donald Richards, Outside Unit & Field Member
Ae Ja Yee, Major Field Member
Wen-Ching Li, Major Field Member
Alexei Novikov, Professor in Charge/Director of Graduate Studies

Author:

Chavez Caliz, Ana

Title:

TOPICS IN PROJECTIVE GEOMETRY OF POLYGONS: CONFIGURATION THEOREMS AND SELF-DUALITY

Graduate Program:

Mathematics (PHD)

Keywords:

Projective geometry
Configuration theorems
Polygons
Poncelet
Self-duality

File:

Download AnaChavezCaliz_Dissertation.pdf

Committee Members:

Jack Huizenga, Major Field Member
Mark Levi, Major Field Member
Donald Richards, Outside Unit & Field Member
Sergei Tabachnikov, Chair & Dissertation Advisor
Alexei Novikov, Professor in Charge/Director of Graduate Studies

Author:

Chen, Chien Hua

Title:

On surjectivity of adelic Galois representation for Drinfeld modules

Graduate Program:

Mathematics (PHD)

Keywords:

Drinfeld modules
Galois representations

File:

Download Chien-Hua_Chen-Dissertation.pdf

Committee Members:

Martin Fürer, Outside Unit & Field Member
Mihran Papikian, Chair & Dissertation Advisor
Yuriy Zarkhin, Major Field Member
Wen-Ching Li, Major Field Member
Alexei Novikov, Professor in Charge/Director of Graduate Studies

Author:

Bao, Rui

Title:

Equivariant K-theory, C*-algebras and Localization at the Standard Trace

Graduate Program:

Mathematics (PHD)

Keywords:

C*-algebra
Equivariant K-theory
KK-theory
Index Theory

File:

Download finaldraft_20220208.pdf

Committee Members:

Chaoxing Liu, Outside Unit & Field Member
Mathieu Stienon, Major Field Member
Nigel Higson, Chair & Dissertation Advisor
Nathanial Brown, Major Field Member
Alexei Novikov, Professor in Charge/Director of Graduate Studies

Author:

Tian, Chao

Title:

Mean-Field Models and Nonlocal Problems

Graduate Program:

Mathematics (PHD)

Keywords:

Nonlocal-in-Time
Nonlinearity
Semigroup
Nonlocal noise
Mean-field

File:

Download ChaoTian-Dissertation.pdf

Committee Members:

Anna Mazzucato, Chair & Dissertation Advisor
Zhibiao Zhao, Outside Unit, Field & Minor Member
Wenrui Hao, Major Field Member
Qiang Du, Special Member
Xiantao Li, Major & Minor Field Member
Alexei Novikov, Professor in Charge/Director of Graduate Studies

Author:

Sanchez, Jesus

Title:

Local Index Theory and Cyclic Cohomology

Graduate Program:

Mathematics (PHD)

Keywords:

Differential Geometry
Cyclic Cohomology
Index Theory

File:

Download Jesus_Thesis.pdf

Committee Members:

Radu Roiban, Outside Unit & Field Member
Nigel Higson, Chair & Dissertation Advisor
Alberto Bressan, Major Field Member
Jeffrey Case, Major Field Member
Alexei Novikov, Professor in Charge/Director of Graduate Studies

Author:

Quach, Harris

Title:

Advances in Forward Sufficient Dimension Reduction Methods for Statistical Learning

Graduate Program:

Statistics (PHD)

Keywords:

ordinal data
functional data
classification
outer product of canonical gradients
tensor product of gradients
local linear function on function regression
k-means tuning

File:

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Committee Members:

Ephraim Mont Hanks, Professor in Charge/Director of Graduate Studies
Bharath Kumar Sriperumbudur, Major Field Member
Yanyuan Ma, Major Field Member
Bing Li, Chair & Dissertation Advisor
Alexei Novikov, Outside Unit & Field Member

Author:

Luo, Yushuang

Title:

Algorithms, Data-driven Methods and Analysis in Fluid Dynamics and Fluid-Structure Interactions

Graduate Program:

Mathematics (PHD)

Keywords:

Fluid-structure Interactions
Reduced-order Modeling
Data-driven Modeling
Compressible Euler System
Self-similar Riemann Problems
Radial Solutions

File:

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Committee Members:

Corina Drapaca, Outside Unit & Field Member
John Harlim, Major Field Member
Xiantao Li, Co-Chair & Dissertation Advisor
Alexei Novikov, Professor in Charge/Director of Graduate Studies
Helge Jenssen, Major Field Member
Wenrui Hao, Co-Chair & Dissertation Advisor

Author:

Alansari, Nawaf

Title:

Properties of Hyperbolic Measures With Local Product Structure

Graduate Program:

Mathematics (PHD)

Keywords:

Hyperbolic dynamics
ergodic theory
local product structure

File:

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Committee Members:

Victoria Sadovskaya, Major Field Member
Zhiren Wang, Major Field Member
Yakov Pesin, Chair & Dissertation Advisor
Martin Bojowald, Outside Unit & Field Member
Alexei Novikov, Professor in Charge/Director of Graduate Studies

Author:

Chi, Hai

Title:

Motion of bacteria in anisotropic fluid, from liquid crystal to visco-elastic liquid crystal

Graduate Program:

Mathematics (PHD)

Keywords:

Liquid Crystal
Active suspensions
visco-elastic media
Beris-Edwards Model
existence of solution
homogenization

File:

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Committee Members:

Alberto Bressan, Major Field Member
Anna Mazzucato, Major Field Member
Igor Aronson, Outside Unit & Field Member
Xiantao Li, Major Field Member
Leonid Berlyand, Chair & Dissertation Advisor
Alexei Novikov, Professor in Charge/Director of Graduate Studies