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Friday, August 21th

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

12:00pm   MW 154	Registration Opens:   Conference Room MW 154   Across from reception desk of Math Tower (231 W 18th Ave)
12:00pm   MW 724	Refreshments:  Large Conference Room MW 724   Top floor of Math Tower
1:10pm   MW 724	Welcome Address:   Prof. Thomas Kerler -- Vice Chair, Department of Mathematics, The Ohio State University

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

Session: I-A       Room: SO 004       Chair: Dr. Steven Damelin
1:45pm  SO 004	Sharpness Of Falconer's Incidence Theorem In Higher Dimensions Eli S Goldstein & Jonathan A DeWitt Williams College
2:15pm  SO 004	Biases in Second Moments of Satake Parameters of L-Functions Megumi A Asada Williams College
2:45pm  SO 004	Upper Bounds for Stern's Diatomic Sequence and Related Sequences Colin R Defant University of Florida

Session: I-B       Room: SO 024       Chair: Dr. Bill Mance
1:45pm  SO 024	Convergence Preserving Permutations and Divergent Fourier Series Angel D Castillo & Jose Chavez University of Michigan-Dearborn
2:15pm  SO 024	Normality preserving operations for Cantor series expansions and related fractals Dylan R Airey University of North Texas
2:45pm  SO 024	An Unoriented Variation on de Bruijn Sequences Christie Burris Colorado State University

Session: I-C       Room: SO 040       Chair: Dr. Edray Goins
1:45pm  SO 040	Meromorphic maps between Riemann surfaces having a cyclic branch cycle Yifan Wu & Carsten Sprunger University of Michigan - Ann Arbor
2:15pm  SO 040	Specializations of the Lawrence Representations of the Braid Groups at Roots of Unity Khanh Q Le Ohio Wesleyan University
2:45pm  SO 040	Geometric invariants of complex polynomials Weibo Fu University of Michigan--Ann Arbor

3:15pm - 3:45pm     Coffee & Refreshments

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

Session: II-A       Room: SO 004       Chair: Dr. Yunus Zeytuncu
3:45pm  SO 004	Nonexistence results for branched covers Carsten Sprunger & Karl G Winsor University of Michigan - Ann Arbor
4:15pm  SO 004	New properties of branched covers of surfaces Raghav Prabhu & Yifan Wu University of Michigan - Ann Arbor

Session: II-B       Room: SO 024       Chair: Dr. Bill Mance
3:45pm  SO 024	The geometry of discriminants over finite fields Elena A Malloy University of Chicago
4:15pm  SO 024	The Relationship Between a Local Ring and Its Completion Lena M Ji Williams College

Session: II-C       Room: SO 040       Chair: Dr. Brendan Sullivan
3:45pm  SO 040	General State-Sum Construction of Topological Quantum Field Theories with Defects Gathoni P Kamau-Devers & Gail K Jardine Kansas State University
4:15pm  SO 040	Lazy Cops and Robbers on Chess and Product Graphs Nikolas J Townsend & Mikayla L Werzanski Emmanuel College

  5:00pm - 6:00pm     Plenary Talk

5:00pm  HH 180

Geometry and the Shape of Space David Futer Temple University

6:30pm - 8:30pm     Dinner in MW 724

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Saturday, August 22th

7:30am - 9:00am     Breakfast at Hotel


  9:30am - 10:30am     Plenary Talk

9:30am  HH 180

Patterns of Synchrony: From Animal Gaits to Binocular Rivalry Martin Golubitsky The Ohio State University

  10:45am - 12:15pm     Posters Presentations

Scott Lab Hallway (lower level)

Modeling wave phenomena using non-autonomous nonlinear Schroedinger equations Gerardo J Mercado & Gabriel J Amador UPR Mayaguez Campus

Rankings of Cartesian Product $(K_{s}-e) $ x $ P_{n}$ Kelsey C Quigley & Sarah B Renfro Rochester Institute of Technology

Modeling Wave Phenomena Using Riccati-System to Construct Nonlinear Schroedinger Equations Nathalie M Luna-Rivera & Kiara M Colon-Perez University of Puerto Rico at Mayaguez

Analysis of Interfaces for the Nonlinear Double-Degenerate Reaction-Diffusion Equation Chloe L Ondracek & Suneil Parimoo Florida Institute of Technology

Isoperimetric Inequality in the Third Dimension Jamie L. Jeffries & Brandi Wingate University of Michigan-Dearborn

Decompositions of Parking Functions Ian Kit T Nicolas & Magda L Hlavacek UC Santa Barbara

Benford's Law in Fragmentation Processes and Other Systems Blaine Talbut & David R. Burt Williams College

A Ramsey Theoretic Approach to Function Fields Structure Gwyneth S Moreland & Megumi A Asada Williams College

Point Sets Determining Each Distinct Distance a Unique Number of Times Eli S Goldstein & Sarah E Manski Williams College

On the Fine Classification of Periodic Orbits of Continuous Endomorphisms and Universality in Chaos Muhammad Abdulla & Alyssa L Turnquist Florida Institute of Technology

Visualizing Dessins d'Enfants on the Torus Leonardo R Azopardo & Sarah E Thomaz Purdue University

Locating Numbers and Sets for Disconnected Graphs Jonathon P Spaw Millikin University

Ranks of permutative matrices Xiaonan Hu College of William and Mary

Characterizing the Dynamics of Certain Sequential Dynamical Systems Colin R Defant UC Santa Barbara

A Finiteness Property of Torus Invariants Stella S Gastineau University of Michigan

Time-Inhomogeneous Branching Processes Mark Perlman University of Maryland

Limiting Spectral Measures for Random Checkerboard Matrices Jonathan DeWitt Williams College

Differentially Private Graphical Model Selection Zexi Song Rutgers University

An explicit solution formula for the discrete Schr\ödinger equation on a half line lattice Susan J Kemboi The University of Texas at Arlington

New Linear Codes from Quasi-twisted Codes Derek S Foret Kenyon College

Dispersal-induced global extinction in two-patch model with Allee effect Margaret E Swift College of William and Mary

Rational Functions with Many Critical Values Karl G Winsor University of Michigan - Ann Arbor

12:15pm - 1:15pm     Poster Session Continued with Lunch


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

Session: III-A       Room: SO 004       Chair: Dr. Edray Goins
1:15pm  SO 004	Properties of $m^{th}$-Level Triangle Numbers in Second-Order Recursive Polynomials Maximillian C.W. Bender & Maria I. Lema Michigan State University
1:45pm  SO 004	The Combinatorics of Borel Sets in a Fixed Degree Cecily L Santiago & Rose X Dennis Mount Holyoke College
2:15pm  SO 004	A Volume Argument for Tucker's Lemma Oscar F Leong & Beauttie A Kuture MSRI-UP at UC Berkeley

Session: III-B       Room: SO 024       Chair: Prof. Michael Zieve
1:15pm  SO 024	Branching types of rational functions and functional decomposition Elise Griffin & Heyi Zhu University of Michigan
1:45pm  SO 024	Zeros of the Modular Form $E_kE_l - E_{k+l}$ Sarah C Reitzes Texas A and M University
2:15pm  SO 024	Constructive Galois Theory with Linear Algebraic Groups Liam M Mazurowski & Eric Y Chen Louisiana State University

Session: III-C       Room: SO 040       Chair: Prof. Steven Miller
1:15pm  SO 040	Shifting Numerical Semigroups and the Catenary Degree Mesa A Pracht & Jesse P Horton University of Hawaii at Hilo
1:45pm  SO 040	Discrete Morse Theory and the Rational Homology of Thompson's Group T Fernando E Betancourt Velez & Angelo N Taranto Miami University
2:15pm  SO 040	Spaces of Nondegenerate Hypermatrices Colin C Aitken University of Minnesota

2:45pm - 3:45pm     Coffee & Refreshments


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

Session: IV-A       Room: SO 004       Chair: Prof. Ugur Abdulla
3:45pm  SO 004	Counting 10-Arcs in the Projective Plane over Finite Fields Rachel S Lawrence & Luke K Peilen Yale University
4:15pm  SO 004	On a Problem of Sarnak Related to Constructing Efficient Univeral Subsets of 1-Qubit Gates Qingzhong Liang University of Michigan

Session: IV-B       Room: SO 024       Chair: Dr. Joe Omojola
3:45pm  SO 024	Zarankiewicz Numbers and Bipartite Ramsey Numbers Alexander W Neal Riasanovsky Rochester Institute of Technology
4:15pm  SO 024	Quaternionic Ramsey Theory Sarah E Manski & Gwyneth S Moreland Williams College

Session: IV-C       Room: SO 040       Chair: Prof. Steven Miller
3:45pm  SO 040	Escape Rates and Equilibrium States for Open Topological Markov Chains Peter S Morfe & Christopher J Ianzano Fairfield University
4:15pm  SO 040	Generating Self-Similar Fractals Using the Heisenberg Group Max Lipton Cornell University

  5:10pm - 6:10pm     Plenary Talk

5:10pm  HH 180

Wave Localization Svitlana Mayboroda University of Minnesota

6:30pm - 8:30pm     Dinner in MW 724

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Sunday, August 23th

7:30am - 9:00am     Student Breakfast at Hotel


8:00am - 9:00am     Mentor Breakfast at Bistro 2110


9:30am - 10:45am     Graduate School Orientation


  11:00am - 12:30pm     Student Talks   (V)

Session: V-A       Room: SO 004       Chair: Prof. Noah Aydin
11:00am  SO 004	Computing the Evans function via solving a linear boundary value ODE Rose T Nguyen & Colin P Wahl Brown University
11:30am  SO 004	Frechet Differentiability in Optimal Control of Parabolic Free Boundary Problems Jessica A Pillow Florida Institute of Technology
12:00am  SO 004	Evolution of Free Boundaries for the Nonlinear Fokker-Planck Equation Christie M Campbell & Luke T Andrejek Florida Institute of Technology

Session: V-B       Room: SO 024       Chair: Dr. Yunus Zeytuncu
11:00am  SO 024	Sign Characteristic Preserving Linearizations in $DL(P)$. Joseph J Breen & Sarafina I Ford UC, Santa Barbara
11:30am  SO 024	Theoretical Friends of Finite Proximity Edna L Jones Auburn University
12:00am  SO 024	Existence of k-Normal Elements in Finite Field Extensions Loren J Anderson Pennsylvania State University

Session: V-C       Room: SO 040       Chair: Prof. Michael Zieve
11:00am  SO 040	Low-Lying Zeros of Families of L-Functions Blaine Talbut & Gwyneth S Moreland Williams College
11:30am  SO 040	A Twisted Second Moment for Automorphic L-Functions David R. Burt & Blaine Talbut Williams College
12:00am  SO 040	One-Level Density for Cusp Forms of Arbitrary Level Jonathan DeWitt Williams College

12:45pm - 1:15pm     Closing Meeting

12:45pm   MW 724

Closing Address:   Prof. Luis Casian -- Chair, Department of Mathematics, The Ohio State University

YMC 2015 is supported by NSF Grant DMS-1252904