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Author:

Le, Thinh Duc

Title:

NONLOCAL EXTERIOR CALCULUS ON RIEMANNIAN MANIFOLDS

Graduate Program:

Mathematics

Keywords:

nonlocal exterior calculus
nonlocal vector calculus
nonlocal Hodge theory

File:

Download mythesis.pdf

Committee Members:

Qiang Du, Dissertation Advisor/Co-Advisor
Qiang Du, Committee Chair/Co-Chair
Long Qing Chen, Committee Member
Ping Xu, Committee Member
Mathieu Philippe Stienon, Committee Member

Author:

Verma, Manoj

Title:

Representation of integers by a family of cubic forms in seven variables

Graduate Program:

Mathematics

Keywords:

The Hardy-Littlewood method
Representation of integers
Cubic forms.

File:

Download ManojVerma-Dissertation.pdf

Committee Members:

Robert Charles Vaughan, Dissertation Advisor/Co-Advisor
Woodrow Dale Brownawell, Committee Member
Ae Ja Yee, Committee Member
Donald Richards, Special Member

Author:

Zhang, Jingyan

Title:

Shrinking Dimer Dynamics and its Application in Saddle Point Search

Graduate Program:

Mathematics

Keywords:

Saddle point search
transition state
Shrinking Dimer Dynamics
dimer method
nucleation
constrained Shrinking Dimer Dynamics

File:

Download mythesis.pdf

Committee Members:

Qiang Du, Dissertation Advisor/Co-Advisor
Ludmil Tomov Zikatanov, Committee Member
Xiantao Li, Committee Member
Alexei Novikov, Committee Member
Zhibiao Zhao, Committee Member
Zikui Liu, Committee Member

Author:

Mayanskiy, Evgeny S

Title:

An asymptotic Mukai model of M6.

Graduate Program:

Mathematics

Keywords:

Genus 6 curves
Mukai models
Hassett-Keel program
geometric invariant theory

File:

Download MayanskiyThesis.pdf

Committee Members:

Yuri Zarhin, Dissertation Advisor/Co-Advisor
Yuri Zarhin, Committee Chair/Co-Chair
Robert Charles Vaughan, Committee Member
Dale Brownawell, Committee Member
Karl Schwede, Committee Member
Murat Gunaydin, Committee Member

Author:

Nowakowski, Brian David

Title:

On Multi-parameter Semimartingales, Their Integrals and Weak Convergence

Graduate Program:

Mathematics

Keywords:

multi-parameter processes
stochastic integration
weak convergence

File:

Download Nowakowski_Dissertation.pdf

Committee Members:

Manfred Heinz Denker, Dissertation Advisor/Co-Advisor
Manfred Heinz Denker, Committee Chair/Co-Chair
Anna L Mazzucato, Committee Member
Jason Ryder Morton, Committee Member
Heber Farnsworth, Committee Member

Author:

Hudelson, William

Title:

Partial randomness and Kolmogorov complexity

Graduate Program:

Mathematics

Keywords:

randomness
algorithmic randomness
complexity
Kolmogorov complexity
computability
recursion theory
mathematical logic

File:

Download dissertation-hudelson.pdf

Committee Members:

Stephen George Simpson, Dissertation Advisor/Co-Advisor
Jan Severin Reimann, Committee Member
Manfred Heinz Denker, Committee Member
Martin Furer, Committee Member

Author:

Hong, Wei

Title:

Some problems in Poisson geometry

Graduate Program:

Mathematics

Keywords:

(holomorphic) Poisson manifolds
Poisson cohomology
Courant algebroid
hypercomplex structure
holomorphic symplectic structure

File:

Download Hong-Dissertation.pdf

Committee Members:

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

Author:

Facchi, Giancarlo

Title:

Optimal Bidding Strategies in a Limit Order Book

Graduate Program:

Mathematics

Keywords:

Limit Order Book
Mathematical Finance
Measure Valued Optimization
Nash equilibrium
Optimal Control
Price Impact.

File:

Download 1-GiancarloFacchi-Dissertation.pdf

Committee Members:

Alberto Bressan, Dissertation Advisor/Co-Advisor
Alberto Bressan, Committee Chair/Co-Chair
Francesca Chiaromonte, Committee Member
Lyle Norman Long, Committee Member
Anna L Mazzucato, Committee Member
Victor Nistor, Committee Member
Yuxi Zheng, Committee Member
Constantino Manuel Lagoa, Special Member

Author:

Pathak, Noopur Jawahar

Title:

Computable Aspects of Measure Theory.

Graduate Program:

Mathematics

Keywords:

Logic
Randomness
Measure Theory
Schnorr
Martin-Lof
Regularity

File:

Download 1-thesis.pdf

Committee Members:

Stephen George Simpson, Dissertation Advisor/Co-Advisor
Jan Severin Reimann, Committee Member
Manfred Heinz Denker, Committee Member
Donald Richards, Committee Member

Author:

Basu, Sankha Subhra

Title:

A Model of Intuitionism based on Turing Degrees

Graduate Program:

Mathematics

Keywords:

intuitionism
higher-order logic
sheaf models
Turing degrees
mass problems
Muchnik degrees

File:

Download Basu-thesis.pdf

Committee Members:

Stephen George Simpson, Dissertation Advisor/Co-Advisor
Stephen George Simpson, Committee Chair/Co-Chair
John Roe, Committee Member
Jan Severin Reimann, Committee Member
Sean Hallgren, Special Member