Summer 2011 REGS Program
All summer REGS participants are required to submit a final report.
Click here for report guidelines.
Deadline: We encourage you to submit your report as soon as possible after the
end of the summer session. Incoming, first or second year students must submit the
report by Tuesday, September 6, 2011 in order to be eligible for prizes. For all students the
absolute deadline for reports is Friday, September 16, 2011.
We encourage all participants to complete a survey about their REGS experience. Click here to complete the online survey.
In addition to individually supervised projects, group projects were offered in the following areas:
Final Reports
| Student |
Faculty Advisor |
Project Title
(click on title for pdf file of report) |
| Ackermann, Colleen |
D'Angelo |
Non-negativity conditions for polynomial coefficients |
| Addabbo, Darlayne |
Berndt |
The Theory of Partitions |
| Anders, Katie |
Reznick |
On the disparity in the parity of the counting
function for generalized binary representations |
| Andersen, Nickolas |
Berndt |
Partitions and q-Series |
| Arroyo, Aisha |
Yong |
K-Promotion |
| Avsec, Steve |
Junge |
Structural Properties of Gaussian-type Von Neumann Algebras |
| Beder, Jesse |
Dutta |
Intersection Theorem |
| Benson, Brian |
Dunfield |
Agol's Improvement to Buser's Inequality and Arithmetic Surfaces |
| Berning, Stephen |
DeVille |
Stochastic neural network |
| Blumen, Victoria |
Zharnitsky and Barishnikov |
3-period orbits in billiards on the surfaces of constant curvature |
| Bonnell, Chris |
DeVille |
Fitzhugh-Nagumo SDE |
| Butterfield, Jane |
West |
Equal Unions and Equal Multisets of Hypergraphs |
| Carraher, James |
West |
Extending graph choosability results to paintability |
| Choi, Ilkyoo |
West |
Equal Unions and Equal Multisets of Hypergraphs |
| Collier, Brian |
Kerman |
Counting Morse complexes |
| Cummins, Desmond |
Ivanov |
Computable Properties of Minimal Decidable Group Presentations |
| Delcourt, Michelle |
West |
Book Embeddings of Laman Graphs |
| DiPasquale, Michael |
Schenck |
Shellability and Freeness of Continuous Splines |
| Duarte, Eliana |
Reznick |
Canonical Forms and Apolarity
|
| Fieldsteel, Nathan |
Kerman |
Canonical Divisors of Abstract Varieties and Algebraic Invariants
of Embeddings in Projective Space |
| Funk, Kelly |
Rosenblatt |
Uniformly Rigid Homeomorphisms and Uniform Rigidity Sequences |
| Galiardi, MeghanI |
West |
Book Embeddings of Laman Graphs |
| Hannasch, David |
West |
Vertex decontamination |
| Heersink, Byron |
Berndt |
Theory of Partitions |
| Hickok, Lisa |
Zharnitsky and Barishnikov |
Investigating the Stokes Sets |
| Hockensmith, Daniel |
Kerman |
A Combinatorial Description of a Manifold's
Morse Homology |
| Im, Inmi |
Nevins |
|
| Johnson, Susannah |
Berndt |
The q-series approach to partitions |
| Kim, Jaehoon |
West |
Equal Unions and Equal Multisets of Hypergraphs |
| Kim, Ki Yeun |
Zharnitsky and Barishnikov |
3-period orbits in billiards on the surfaces of constant curvature |
| Kinnersley, William |
West |
Combinatorics |
| Kolb, Hannah |
West |
Equal Unions and Equal Multisets of Hypergraphs |
| Kupin, Elizabeth |
West |
Equal Unions and Equal Multisets of Hypergraphs |
| Lansing (Weber), Jennifer |
Reznick |
Stern sequence |
| Sarah Loeb |
West |
Extending graph choosability results to paintability |
| Longfield, Stephen |
Boca and Ruan |
Real and functional analysis |
| Mahoney, Thomas |
West |
Extending graph choosability results to paintability |
| McDonald, Daniel |
West |
Ranking on a graph |
| Nance, Joe |
Zharnitsky and Barishnikov |
3-period orbits in billiards on the surfaces of constant curvature |
| Orlow, Nate |
Zharnitsky and Barishnikov |
Investigating the Stokes Sets |
| Pechenik, Oliver |
Yong |
Combinatorial problems related to K-theory |
| Phaovibul, M.Tip |
Berndt |
Some problems in Analytic and Elementary Number Theory |
| Puleo, Greg |
West |
Extending graph choosability results to paintability |
| Ray, Brian |
Kapovich |
Non-rigidity of cyclic automorphic orbits in free groups |
| Reiniger, Ben |
West |
Combinatorics |
| Rios, Fransisco |
Rosu (Computer Science) |
Complete Categorical Coequational Deduction |
| Sanchez, Mychael |
Rezk |
Abstract Homotopy Theory |
| Santana, Michael |
West |
The Birank Number of Graphs |
| Schultz, Daniel |
Berndt |
The Rogers-Selberg Identities |
| Shahkarami, Sean |
Lerman |
Dirac Structures and port-Hamiltonian Systems |
| Son, Sarah Soojin |
Zharnitsky and Barishnikov |
Investigating the Stokes Sets |
| Spiegelhalter, Paul |
Boca |
|
| Tebbe, Amelia |
West |
Equal Unions and Equal Multisets of Hypergraphs |
| Tirrell, Jordan |
West |
Book Embeddings of Laman Graphs |
| Tran, Khang |
Stolarsky |
report |
| Tsai, Mu-Tsun |
West |
Extending graph choosability results to paintability |
| Villeta-Garcia, Juan |
Kerman |
Canonical Divisors of Abstract Varieties and Algebraic Invariants
of Embeddings in Projective Space |
| Wise, Jennifer |
West |
Game Matching Number |
| Work, Grace |
Francis |
An Apprenticeship in Mathematical Graphics |
| Wratten, James |
Berndt |
Theory of Partitions |
| Yeager, Elyse |
West |
Game Matching Number |
| Yeakel, Sarah |
Ando |
Homotopy theory |
NSF-MCTP — Mentoring Through Critical Transition Points
National Science Foundation