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Click on Titles of Presentations for individual abstracts
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Friday, July 27th

12:00pm - 1:45pm Registration & Welcome

12:00nn MW 154	Registration: Conference Room MW 154 across from reception desk of Math Tower (231 W 18th Ave)
12:00nn MW 724	Refreshments: 7th Floor Lounge (MW 724) of Math Tower
1:10pm MW 724	Welcome Address: Peter March -- Divisional Dean, Natural and Mathematical Sciences

1:45pm - 3:15pm Student Talks (I)

Session: I-A Room: EA 265 Chair: Prof Kevin Hartshorn
1:45pm EA 265	On Minimal Orbits of Continuous Endomorphisms on the Real Line with Application to Chaos Theory Almas Abdulla & Rashad Abdulla Florida Institute of Technology
2:15pm EA 265	Isometry Classes of Quadratic Forms over Finite Fields of Characteristic 2 Jesse W Andrews Monmouth University
2:45pm EA 265	On Kauffman's Extended Bracket Polynomial for Virtual Links Ben G. O'Connor The Ohio State University

Session: I-B Room: EA 275 Chair: Prof Steven Miller
1:45pm EA 275	Low-lying zeroes of Maass form $L$-functions Levent Alpoge Williams College
2:15pm EA 275	Generalized sum and difference sets and $d$-dimensional modular hyperbolas Amanda Bower & Victor D Luo Williams College
2:45pm EA 275	Determinantal Expansions in Random Matrix Theory and Number Theory Nicholas G Triantafillou Williams College

Session: I-C Room: EA 285 Chair: Prof Satyan Devadoss
1:45pm EA 285	Unitary untouchable numbers Heesung Yang Dartmouth College
2:15pm EA 285	Periodic Disk Packings on Sublattices Alexander D Smith & Jeffrey D Shen Cornell University
2:45pm EA 285	Centers of Magnitude Thunwa Theerakarn Brown University

3:15pm - 3:45pm Coffee & Cookies in MW 724

Short break, registration in MW 154

3:45pm - 4:45pm Plenary Talk

3:45pm
EA 160

Perfection and Beyond
Maria Chudnovsky
Columbia University

5:00pm - 6:00pm Student Talks (II)

Session: II-A Room: EA 265 Chair: Ms Rebecca Tramel
5:00pm EA 265	A Multiplicative Operation on Matrices with Entries in an Arbitrary Abelian Group Cyrus U. Hettle University of Kentucky
5:30pm EA 265	Frobenius Splitting of Projective Toric Varieties Jed Chou University of Connecticut

Session: II-B Room: EA 275 Chair: Prof Steven Miller
5:00pm EA 275	Homological and Quantum Representations of Braid Groups Elden Elmanto & Matt Hughes Ohio Wesleyan University
5:30pm EA 275	Mind the Gap: Distribution of Gaps in Generalized Zeckendorf Decompositions Rachel R Insoft & Amanda Bower Williams College

Session: II-C Room: EA 285 Chair: Prof Tuncay Aktosun
5:00pm EA 285	Exact Solutions to the Langmuir Lattice Equation Monique M Mendoza & Angel Pacheco University of Texas at Arlington
5:30pm EA 285	Combinatorial Rearrangements on Arbitrary Graphs Daryl R DeFord Washington State University

6:30pm - 9:30pm Dinner at the Faculty Club

Introduction of graduate school representatives (see Sunday morning below)

Saturday, July 28th

8:30am - 10:00am Coffee, Tea, & Snacks in MW 724

Set up of Posters in MW 724

9:30am - 10:30am Plenary Talk

9:30am
EA 160

Finding Patterns in Primes
Terence Tao
University of California, Los Angeles

10:45am - 12:15pm Posters Presentations

Room: MW 724
Critical Behavior of Long-Jump Random Walks on $Z^d$ Archie L Brown III Michigan State University
The Tutte-Krushkal-Renardy Polynomial for CW Complexes Bradley L Burdick The Ohio State University
Numerical Approximation of Spectra for Localized Oscillatory Structures Nadejda V Drenska Brown University
Generic Polynomials and Frobenius Modules Anthony Sanchez Louisiana State University
$\widehat{GKZ}$ Systems and the Stokes Phenomenon Jesse K Silliman Louisiana State University
Instabilities in Euler Flows Zuhal Z Yildirim Brown University
Uniqueness Results for Extremal Holomorphic Functions in the Bidisk Lihua Huang UC San Diego
A 2-Parameter Family of Kernels Casey L Bylund & Will G Mayner Illinois Institute of Technology
What do Math and LEGOs have in common? Emmanuel H. Daring & Samantha K. Sprague St. Mary's College of Maryland
Classifying Extensions of the Field of Formal Laurent Series over $\mathbb{F}_p$ Angela M Kraft & Daniel R Scofield Clemson University
On the Folding of $L$-Shapes into Polyhedra Alice N Nadeau & Emily K Dinan Lafayette College
Lyapunov Exponents of Multiplicative Stochastic Processes Becky K Simonsen & David Wierschen University of Connecticut

12:15pm - 1:15pm Lunch Break in MW 724

Lunch boxes provided.

1:15pm - 2:45pm Student Talks (III)

Session: III-A Room: EA 265 Chair: Mr Daniel Kelleher
1:15pm EA 265	Tiling Polygons with Unit Triangles and Squares John L Chiarelli & Lisa M Piccirillo Cornell University
1:45pm EA 265	Determining the Spectrum of the Laplacian on Fractal 3N-Gaskets William G Oakley & Jason A Marsh University of Connecticut
2:15pm EA 265	Complementary Regions of Multi-Crossing Knot Projections MurphyKate L Montee Williams College

Session: III-B Room: EA 275 Chair: Prof Satyan Devadoss
1:15pm EA 275	Convex Polytopes and Spaces of Trees Dominic Spadacene & Daoji Huang Williams College
1:45pm EA 275	Constructing the SPR Space of Phylogenetic Trees Craig Corsi & Daoji Huang Williams College
2:15pm EA 275	Distributions of Eigenvalues of Variations of Hermitian Toeplitz Matrix Ensembles Victor D Luo & Nicholas G Triantafillou Williams College

Session: III-C Room: EA 285 Chair: Prof John Rock
1:15pm EA 285	Perfect State Transfer on Signed Graphs Devlin D Mallory & Abigail J Raz SUNY Potsdam
1:45pm EA 285	Projections on Parabolic Quotients of Affine Weyl Groups in Classical Lie Types Margaret E Nichols & Alexander F Youcis Williams College
2:15pm EA 285	Zeta functions of recursive strings Rolando de Santiago California State Polytechnic University, Pomona

2:45pm - 3:45pm Coffee & Refreshments in MW 724

Discussion break, poster displays, fruit & cheese

3:45pm - 4:45pm Student Talks (IV)

Session: IV-A Room: EA 265 Chair: Prof Kevin Hartshorn
3:45pm EA 265	Infinite Families of Perfect Parallelepipeds Exist Amy G VanHooft & Rachel M Volkert Lafayette College
4:15pm EA 265	Perfect Parallelpipeds as Near Cuboids Benjamin D Sokolowsky Lafayette College
4:30pm EA 265	Computing the Refined Stability Condition Allison Lindgren University of Wyoming

Session: IV-B Room: EA 275 Chair: Prof Tuncay Aktosun
3:45pm EA 275	Differential harnack estimates for the equation $w_t = \Delta w + a w \log w$ on manifolds Bowei Liu & Benjamin A Fayyazuddin-Ljungberg Cornell University
4:15pm EA 275	On Multi-soliton Solutions to the Toda Lattice Equation Carina Mata & Estevan J Lara The University of Texas at Arlington

Session: IV-C Room: EA 285 Chair: Prof Christino Tamon
3:45pm EA 285	Futurama Theorem and Products of Distinct Transpositions Lihua Huang UC San Diego
4:15pm EA 285	Indestructible Operators Bob Lutz Pomona College

5:10pm - 6:10pm Plenary Talk

5:10pm
EA 160

Symmetries, Ping-Pong and Outer Space
Karen Vogtmann
Cornell University

6:30pm - 9:30pm Dinner at the Ohio Union

Meeting Room 3, Group Photo in front of the Ohio Union.

Sunday, July 29th

8:30am - 10:45am Meetings & Discussions

8:30am MW 724	Coffee, Tea, & Snacks for everyone in 7th floor lounge.
8:15am Blackwell	Mentor Breakfast: at the The Blackwell Inn Chaired by Dr. Craig Jackson.
9:15am MW 724	Graduate School Orientation: at the 7th floor lounge. Question and Answer sesssion on graduate schools with representatives from following institutions: Boston University: Anna Barry UCLA: Prof Terence Tao University of Connecticut: Daniel Kelleher Florida Institute of Technology: Prof Ugur Abdulla Indiana University: Prof Chris Judge University of Iowa: Syvillia Averett Rutgers University: Prof Zheng-Chao Han University of Wyoming: Prof Gregory Lyng The Ohio State University: Prof Thomas Kerler

10:45am - 12:45pm Student Talks (V)

Session: V-A Room: EA 265 Chair: Prof Gregory Lyng
10:45am EA 265	Explicit Solutions to the Nonlinear Schrödinger Equation Ivan E Beeks University of Texas, Arlington
11:15am EA 265	Analysis of Interfaces for the Nonlinear Diffusion-Convection Equations Nathan W Mertins Florida Institute of Technology
11:45am EA 265	The Damped-Navier-Stokes Equation for Image Inpainting James P Vogel University of Michigan
12:15pm EA 265	Some Topological Mixing Efficiencies Peter A Woolfitt Georgia Institute of Technology
12:30pm EA 265	Solving the Heat Equation with a Highly Oscillatory Thermal Diffusivity Alonso R Miranda University of Houston

Session: V-B Room: EA 275 Chair: Prof Steven Miller
10:45am EA 275	New results in the theory of generalized symmetric spaces Jasper O Weinrich-Burd & Russell C Stinson NC State University
11:15am EA 275	Distribution of Sumsets in Non-Uniform Models Virginia A Hogan & Kevin Vissuet Williams College
11:45am EA 275	Distribution of the Longest Gap in Positive Linear Recurrence Sequences Shiyu Li & Philip D Tosteson Williams College
12:15pm EA 275	Generalized $j$-Factorial Functions, Polynomials, and Applications Maxie D. Schmidt University of Illinois at Urbana-Champaign

Session: V-C Room: EA 285 Chair: Prof John Rock
10:45am EA 285	Decoding Reed-Solomon Codes Using the Division Algorithm Derek Young & Ashley Wheatley University of Louisiana at Lafayette
11:15am EA 285	Ideals in Infinite Group Rings Jackson Walters Virginia Tech
11:45am EA 285	Elliptic amicable pairs and aliquot cycles for primes of higher degree. David T Heras Clemson Univeristy
12:15pm EA 285	Generalized Off-Diagonal Rado Numbers Gregory M Tanner South Dakota State University

1:00pm - 1:20pm Closing Meeting

1:00pm
MW 724

Closing Address: by Professor Luis Casian (department chair)
Outstanding Presentation Awards.

The Ohio State University

www.osu.edu

Friday, July 27th

Saturday, July 28th

Sunday, July 29th