Summer 2010 REGS Program
In addition to individually supervised projects, group projects were offered in the following areas:
- Combinatorics (led by Douglas West)
- Applied Analysis (led by Jared Bronski, Richard Laugesen, Dirk Hundertmark)
- Hamiltonian Dynamics and Morse Theory (led by Ely Kerman)
REGS participants are encouraged to complete a REGS Survey.
Final Reports
| Student |
Faculty Advisor |
Project Title
(click on title for pdf file of report) |
| Anders, Katie |
Reznick |
The Parity of Generalized Binary Representations |
| Arroyo, Aisha |
West |
Gold Grabbing Game |
| Beder, Jesse |
Dutta |
Chow Groups of Regular Local Rings |
| Benson, Brian |
Dunfeld |
Cheegar Constants of Arithmetic 3-Manifolds |
| Block, Alexander |
Gorvett |
Mathematics of finance |
| Bonnel, Chris |
Deville |
Stochastic differential equations and neuroscience |
| Butterfield, Jane |
Balogh |
Problems in graph theory |
| Collier, Brian |
HDMT |
Hamiltonian dynamics and Morse theory |
| Cummins, Desmond |
Ivanov |
Oracle Turing machines and the word problem |
| DeJarnette, Noel |
Tyson |
The Lipschitz density problem and sub-Riemannian geometry |
| DiPasquale, Michael |
Dutta |
The Sheaf of Differential Forms on a Product of Varieties and the Associated Tangent Sheaf |
| Eldred, Rosona |
Mccarthy |
Goodwillie calculus |
| Fieldsteel, Nathan |
West |
Matchings in geometric graphs |
| Fryer, Dashiell |
Muncaster |
Incentive Dynamics |
| Funk, Kelly |
Rosenblatt |
Continuous and smooth Realizations |
| Grundmeier, Dusty |
D'Angelo |
Signature pairs of hermitian polynomials and Invariant theory |
| Hannasch, David |
West |
Sorting with k-ary Comparisons |
| Hickok, Lisa |
Bronski |
Hill's Equation |
| Hill, Aaron |
Solecki |
Rank-1 transformations as homeomorphisms of Cantor space |
| Huan, Zhen |
Rezk |
The Answer to One of Steenrod's Questions |
| Huh, June |
Schenk |
Milnor numbers of projective hypersurfaces
And the chromatic polynomial of graphs |
| Im, Mee Song |
Nevins |
An Analogue of Isospectral Hilbert Scheme |
| Kelsey, Gregory |
Kapovich |
report |
| Kim, Seog-Jin |
West |
Sorting with k-ary Comparisons |
| Kinnersley, William |
West |
report |
| Kolb, Hannah |
West |
Antipodal edge-colorings of hypercubes |
| Lenz, John |
Balogh |
report |
| Liang, Jian |
Laugesen |
Isoperimetric problems in Mathematical physics |
| Liu, Hong |
West |
Gold Grabbing Game |
| Lukyanenko, Anton |
Tyson
Leininger |
Sub-Riemannian Geometry
Coxeter group actions |
| Mahoney, Thomas |
West |
Gold Grabbing Game |
| McDonald, Daniel |
West |
Edge-reconstructibility of nonsimple multigraphs |
| McLaughlin, Immanuel |
West |
Sorting with k-ary Comparisons |
| Nelson, Peter |
Rezk |
report |
| Olsen, Amanda |
West |
(3,2)-realizable Graphs |
| Orlow, Nathan |
Bronski |
Hill's Equation |
| Pan, Ziying |
Laugesen |
Isodiametric theorems for frequencies of vibration |
| Pechenik, Oliver |
West |
Antipodal edge-colorings of hypercubes
Summary of G-Cordial Graphs |
| Phaovibul, M.Tip |
Berndt |
report |
| Puleo, Gregory |
West |
Revolution 1 |
| Reiniger, Benjamin |
West |
report |
| Reynolds, Patrick |
Kapovich |
report |
| Rochford, Austin |
Ruan |
The Haagerup Property and Operator Space Approximation Properties of Group C*- and von Neumann Algebras |
| Roy, Arindam |
Laugesen |
Isoperimetric problems in Mathematical physics |
| Schultz, Dan |
Berndt |
Cubic Theta Functions |
| Sinick, Jonah |
Dunfeld |
Thurston Norm Balls of Tunnel Number One 3-Manifolds |
| Son, Sarah |
Laugesen |
Isodiametric theorems for frequencies of vibration |
| Spiegelhalter, Paul |
Hildebrand |
Distributions of sequences modulo 1: the good, the bad, and the ugly |
| Stapleton, Nathaniel |
Rezk |
report |
| Thiel, Johann |
Hildebrand |
Conway's RATS Sequences |
| Tichenor, Scott |
Alexander |
report |
| Turmunkh, Bolor |
Kerman |
report |
| Vandehey, Joseph |
Boca |
report |
| Villeta-Garcia, Juan |
Nevins |
The Harder-Narasimhan Strati cation |
| Weber, Jennifer |
Reznick |
The Parity of Generalized Binary Representations |
| Wise, Jennifer |
West |
Antipodal edge-colorings of hypercubes
Summary of G-Cordial Graphs |
| Work, Grace |
West |
Gold Grabbing Game |
| Yancey, Matthew |
West |
report |
NSF-MCTP — Mentoring Through Critical Transition Points
National Science Foundation