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Browsing Student Research Papers (Mathematics) by Issue Date

Browsing Student Research Papers (Mathematics) by Issue Date

Now showing items 1-13 of 13

Effectiveness in Stallings' Proof of Grushko's Theorem

Synhavsky, Paul (2008-12-22)
Class Number One Problems

Bunnell, Elijah (2009-04-24)

In this paper we examine some of the developments concerning the Gauss class number problems and build a solid understanding of the class number. First we will develop some background knowledge necessary to understand th ...
Burnside's Theorem

Linman, Julie (2010-04)

Just as prime numbers can be thought of as the building blocks of the natural numbers, in a similar fashion, simple groups may be considered the building blocks of finite groups. Burnside considered the following quest ...
The Partition Function and Ramanujan Congruences

Bucher, Eric (2010-04-27)

The study into specific properties of the partition function has been a rich topic for number theorists for many years. Much of the current work involving the arithmetic properties of the partition function and their see ...
The j-Function and the Monster

Scherer, Asa (2010-08-16)

The first published notion that the j-function was in any way related to the Monster came in 1979, when Conway and Norton noted in [CN79] that each coefficient in the q- expansion of the j-function could be written as a ...
Risk Management for Nonprofit Organizations

Chen, Li (2010-09-23)

We introduce a model for the surplus of nonprofit organizations (NPO). We assume two types of spending schemes for an NPO. Type I is a constant spending rate and Type II is a variable rate above and below a cut-off rese ...
The Collision of Quadratic Fields, Binary Quadratic Forms, and Modular Forms

Smith, Karen (2011-05-17)
Electromagnetic Inverse Problem for Relaxation Time Distribution in the Time-Domain

Armentrout, Megan (2011-06-20)

We consider wide bandwidth electromagnetic pulse interrogation problems for the determination of dielectric response parameters in complex dispersive materials. We couple Maxwell's equations with an auxiliary ODE model ...
Mathematical models of decision processes for dispersing animals

Brugger, Max F. (2011-08-01)
The Eight Geometries of the Geometrization Conjecture

Grady, Noella (2011-08-29)

In this paper we explore the eight geometries of Thurston's geometrization conjecture. We begin by discussing group actions, covering space topology, fiber bundles, and Seifert fiber spaces. We make precise the notion ...
De Bruijn graphs and their applications to fault tolerant networks

Baker, Joel (2011-12-16)

See paper for abstract.
Polynomial Chaos Expansions for Random Ordinary Differential Equations

McKenzie, Brian (2012-01-06)

We consider numerical methods for finding approximate solutions to Ordinary Differential Equations (ODEs) with parameters distributed with some probability by the Generalized Polynomial Chaos (GPC) approach. In partic ...
Percolation and the bilevel lattice

Hunt, Jonathan (2012-05-30)

The paper reviews percolation and some of its important properties, particularly on the 2-D square lattice. A bilevel lattice is introduced, with a percolation model representing the spread of a forest fire according t ...