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Author:

Early, Nicholas Joseph

Title:

Combinatorics and Representation Theory for Generalized Permutohedra

Graduate Program:

Mathematics

Keywords:

Permutohedra
Worpitzky
Eulerian
Combinatorics
Polyhedra

File:

Download Thesis_Final__12-6-2016.pdf

Committee Members:

Adrian Ocneanu, Dissertation Advisor/Co-Advisor
Sergei Tabachnikov, Committee Chair/Co-Chair
Sergei Tabachnikov, Committee Member
Nigel Higson, Committee Member
Murat Gunaydin, Outside Member

Author:

Bandyopadhyay, Shreejit

Title:

Analytic and Combinatorial Aspects of Certain Identities and Congruences in Partition Theory

Graduate Program:

Mathematics (PHD)

Keywords:

Partition crank
Weighted partitions
Crank congruences
Combinatorics
Hypergeometric series
k-colored partitions
Overpartitions
Overpartition identities
Rogers-Ramanujan type identities

File:

Download Dissertation_Shreejit.pdf

Committee Members:

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

Author:

Stebbins, Daniel

Title:

Additional Contour Properties for the Hard-Core Model on Z^2

Graduate Program:

Computer Science and Engineering (MS)

Keywords:

Self-Avoiding Walk
SAW
Hard-Core Model
Connective Constant
Combinatorics
Statistical Physics
Simulation
Computer Science
Lattice Gases

File:

Download Graduate_School_Thesis.pdf

Committee Members:

Antonio Blanca, Thesis Advisor/Co-Advisor
Debarati Das, Committee Member
Chitaranjan Das, Program Head/Chair