RTG Mini-Conference

Each year the students participating in a research tutorial group (RTG) present their findings in an RTG Mini-Conference.

2011 RTG Mini Conference: December 8, 2011 (Math 501)

9:00 AM: Erik Davis, From Harmonic Functions to Harmonic Analysis. (Advisor: John Palmer)

9:25 AM: Patrick Waters, Continuum limits and the genus expansion. (Advisors: Nick Ercolani & Ken McLaughlin)

9:50 AM: Denis Osses Johns, Existence and Stability of Semelparous Equilibria of a Darwinian Model.(Advisor: Jim Cushing)

10:15 AM: Refreshments

10:30 AM: Megan McCormick, Magic Squares and Haar measure on the unitary group. (Advisors: Nick Ercolani & Ken McLaughlin)

10:55 AM: Joseph Thomas, Computing Submodule Lattices for Group Representatives. (Advisor: Klaus Lux)

11:20 AM: Tova Lindberg, Enumerating Planar Graphs by Blossom Trees, Part 1. (Advisors: Nick Ercolani & Ken McLaughlin)

11:45 AM: Michael Phizicky, Enumerating Planar Graphs by Blossom Trees, Part 2. (Advisors: Nick Ercolani & Ken McLaughlin)

12:10 PM: LUNCH

1:10 PM: Alex Henniges, Birth of the Giant Component: Analysis of the Critical Phase. (Advisors: Nick Ercolani & Ken McLaughlin)

1:35 PM: Gleb Zhelezov, Basics of Toeplitz Operators. (Advisor: John Palmer)

2:00 PM: Jianping Jiang, Weakly self-avoiding walk in the upper half plane. (Advisor: Tom Kennedy)

2:25 PM: Dylan Murphy, Evolutionary Dynamics and Semelparity. (Advisor: Jim Cushing)

2:50 pm: Refreshments

3:05 PM: Matthew Bush, The Theorem that Won the War: How Allied Cryptographers Broke the Enigma Cipher. (Advisor: Bryden Cais)

3:30 PM: Ronnie Williams, Elliptic Curves I. (Advisor: Bill McCallum)

3:55 PM: Alex Tao, Elliptic Curves II. (Advisor: Bill McCallum)

4:20 PM: Leo Maloney, Elliptic Curves III. (Advisor: Bill McCallum)

Somnath Chakraborty, Algebraic Closure of Power Series Fields. (Advisor: Dinesh Thakur)
Angel Chavez, The Tropical Grassmannian. (Advisor: Yi Hu)
Kevin Davidsaver, Irreducibility Tests for KG-Modules. (Advisor: Klaus Lux)
Cindy Phillips, Combinatorial Manifolds: Bonnet-Myer's Theorem. (Advisor: Andrea Young)
Kevin Powell, On a Family of Ramanujan graphs. (Advisor: Klaus Lux)
Leland Schick, A Free Energy Functional for Nematic Liquid Crystals with Polydisperse Lengths. (Advisor: Ibrahim Fatkullin)

Dusty Hinkel and Matthew Lafferty, Galois group of p-polynomials. (Advisor: Kirti Joshi)
Umar Islambekov, Application of gamma convergence to the gradient theory of phase transitions. (Advisor: Shankar Venkataramani)
Matthew Lafferty and Dusty Hinkel, Galois group of p-polynomials. (Advisor: Kirti Joshi)
Thomas Maienschein, Symplectic Geometry and Mechanics. (Advisor: Doug Pickrell)
Veronica Marino, An Introduction to 3-manifolds: A Constructive Approach. (Advisor: Andrea Young)
Priya Prasad, Data Compression of Sound Files. (Advisor: Marek Rychlik)
Amanda Schaeffer, Complex Representations of Finite Unitary Groups and Their Restrictions to Certain Subgroups. (Advisor: Pham Tiep)

Enrique Acosta, Ranks of elliptic curves over function fields. (Advisor: Doug Ulmer)
Geillan Aly, 2-Dimensional Topological Quantum Field Theory. (Advisor: Doug Pickrell)
Michael Bishop, Bounded States of Schrodinger's Equation with Random Potentials. (Advisor: Jan Wehr)
Michael Gilbert, The Infinite Upper Half Plane Self Avoiding Walk. (Advisor: Tom Kennedy)
Yaron Hadad, General Relativity: Numerical Solutions of Einstein's field equation. (Advisor: Mikhail Stepanov)
Martin Leslie, Ranks of elliptic curves over function fields. (Advisor: Doug Ulmer)
Nathan Ordansky, The Burnside Ring of a Finite Group. (Advisor: Klaus Lux)
Derek Seiple, G-Invariant Binary Self-Dual Codes and their Classifications. (Advisor: Klaus Lux)
Shane Passon, Modeling DNA mutation and recombination in neutral fitness scenarios. (Advisor: Joe Watkins)

David Herzog, A Conjecture of Samuel. (Advisor: Kirti Joshi)
Chuan Huang, A Study on Homoclinic Tangles. (Advisor: Don Wang)
Lizhen Lin, Path Integral Method for Time Series. (Advisor: Juan Restrepo)
Chol Park, The Trace and Valuation Maps in p-adic Cyclotomic Fields. (Advisor: David Savitt)
Aleksandar Petrov, A Look at Zeta Functions of a Family of Calabi-Yau Manifolds & Elliptic Curves. (Advisor: Kirti Joshi)
Victor Piercey, The Geometry of Polygon Spaces. (Advisor: Philip Foth)
Jordan Schettler, Bernoulli Numbers. (Advisor: Kirti Joshi)
Ryan Smith, The Trace and Valuation Maps in p-adic Cyclotomic Fields. (Advisor: David Savitt)
Matthew Thomas, The Geometry of Polygon Spaces. (Advisor: Philip Foth)
Cong Xie, Nonconvexity Causes Trouble. (Advisor: William Faris)
Mei Yin, Quantum Scattering. (Advisor: William Faris)

Yuliya Gorlina, Symplectic geometry and polygon moduli spaces. (Advisor: Philip Foth)
Christopher Jewell (Advisor: Doug Ulmer)
John Kerl, The Berezin Integral. (Advisor: John Palmer)
Jennifer Leahy (Advisor: Jim Cushing)
Andy Lebovitz, An Introduction to p-divisible Groups. (Advisor: Adrian Vasiu)
Tommy Occhipinti, (Advisor: Doug Ulmer)
Grant Peterson (Advisor: Joe Watkins)

Abhishek Bhattacharya, Frechet Means and their Estimation. (Advisor: Rabi Bhattacharya)
Joshua Chesler, An Aspiring Mathematician Goes Back to Middle School: A Search for Mathematical Depth and Analysis. (Advisor: unknown)
Sarah Hoffman, Random thoughts on Random Matrix Theory. (Advisor: Ken McLaughlin)
Mel Koppens, Disordered Systems. (Advsisor: Jan Wehr)
Thomas LaGatta, Geodesics on a Random Riemannian Plane. (Advisor: Jan Wehr)
Aisha Najera, Comparison of Symplectic and Riemannian Geometry. (Advisor: Doug Pickrell)
Yijun Shao, A good compactification of the space of holomorphic maps from P^1 to P^n. (Advisor: Yi Hu)
Jefferson Taft, The Compactification of the Module Space of pointed Riemann spheres. (Advisor: Philip Foth)
Casey Warmbrand, Random Thoughts on Random Matrix Theory. (Advisor: Ken McLaughlin)

Daniel Bartlett, Geometric invariant theory and stability. (Advisor: Yi Hu)
Ben Dyhr, Introduction to coherent states. (Advisor: Jan Wehr)
Grethe Hystad, The discrete Laplace operator. (Advisor: Daniel Ueltschi)
Milos Ivkovic, Achievable information rates for high-speed long-haul optical transmission. (Advisor: Ildar Gabitov)
McKenzie Lamb, The state polytope and the secondary polytope. (Advisor: Yi Hu)
Predrag Punosevac, The N-body problem. (Advisor: Don Wang)
Aramian Wasielak, Infinite geodesics in first passage percolation. (Advisor: Jan Wehr)
Brad Weir, Non-uniform hyperbolic dynamics. (Advisor: Don Wang)

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