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Young Mathematicians Conference 2014, Applications
Conference Schedule

Friday, August 22th


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:   Dr. Joseph Steinmetz -- Executive Vice President and Provost, The Ohio State University
            


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

Session: I-A       Room: SO 004       Chair: Prof. Steven Miller
1:45pm 
SO 004  
A Family of Rank 6 Elliptic Curves over Number Fields
David F Mehrle & Tomer Reiter
Williams College
2:15pm 
SO 004  
Universal Lower-Order Biases in Elliptic Curve Fourier Coefficients
Christina Rapti & Karl G Winsor
Williams College
2:45pm 
SO 004  
On a Variant of the Lang-Trotter Conjecture Involving Binomial Elliptic Curve Coefficients
Brian D McDonald & Patrick J Dynes
Williams College


Session: I-B       Room: SO 024       Chair: Dr. David Crombecque
1:45pm 
SO 024  
Bounds for self-intersection numbers of closed curves on the 2-punctured plane
Cameron M Thieme
University of Southern California
2:15pm 
SO 024  
Fibonacci sequence in knots and links
Duncan Clark & Caleb Lehman
The Ohio State University
2:45pm 
SO 024  
Cops and Robbers on Generalized Petersen Graphs and I-Graphs
Nikolas C Schonsheck
Michigan State University


Session: I-C       Room: SO 040       Chair: Prof. Benjamin Weiss
1:45pm 
SO 040  
Enumerating Cliques in Euler Totient Cayley Graphs
Colin R Defant
Auburn University
2:15pm 
SO 040  
Spherical $n$-links
Madeleine Burkhart
SUNY Potsdam
2:45pm 
SO 040  
Linking of $n$-spheres in simplicial complexes embedded in $S^{2n+1}$
Andrew Z Castillo
SUNY Potsdam/Clarkson


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

Short break in Scott Lab foyer (lower level)

Registration continues in MW 154



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

Session: II-A       Room: SO 004       Chair: Mr. Nathan McNew
3:45pm 
SO 004  
Complex Ramsey Theory
Madeleine A Weinstein & Andrew J Best
Williams College
4:15pm 
SO 004  
Ramsey Theory Problems in Z: Avoiding Generalized Progressions
Jasmine Powell & Kimsy Tor
Williams College


Session: II-B       Room: SO 024       Chair: Prof. Ugur Abdulla
3:45pm 
SO 024  
Analysis of Interfaces for the Nonlinear Diffusion Equation with Linear Convection
Taylor P Schluter & Lauren T Lanier
Florida Institute of Technology
4:15pm 
SO 024  
On the Structure of Minimal $4(2k+1)$-orbits of Continuous Endomorphisms and Universality in Chaos
Rashad U Abdulla & Batul Kanawati
Florida Institute of Technology


Session: II-C       Room: SO 040       Chair: Dr. Caroline Turnage-Butterbaugh
3:45pm 
SO 040  
A generalized Newman's conjecture for function field $L$-functions
Tomer Reiter & Joseph M Stahl
Williams College
4:15pm 
SO 040  
Large gaps between zeros of $GL(2)$ $L$-functions
Karl G Winsor & Owen F Barrett
Williams College




  5:00pm - 6:00pm     Plenary Talk

5:00pm 
EA 160  
Topological invariance of non-topological invariants
Benson Farb
University of Chicago


6:30pm - 8:30pm     Dinner in MW 724

Introduction of graduate school representatives (see Sunday morning below)





Saturday, August 23th


7:30am - 9:00am     Breakfast at Hotel
Set up of Posters in Scott Lab hallway (lower level)



  9:30am - 10:30am     Plenary Talk

9:30am 
EA 160  
Patterns and randomness in dynamics and life
Amie Wilkinson
University of Chicago


  10:45am - 12:15pm     Posters Presentations

Scott Lab Hallway (lower level)
Computational Results for Symmetric Chromatic Polynomials of Trees
Isaac D Smith & Zane T Smith
Ohio State University
Isomorphy classes of trivolutions of $SL_2(K)$
Fernando E Betancourt Velez & Joyce Yang
North Carolina State University
Gaussian Behavior of Generalized Zeckendorf Decompositions over Small Scales
Madeleine A Weinstein & Xixi Edelsbrunner
Williams College
Benfordness of Zeckendorf Decomposition
Brian D McDonald & Patrick J Dynes
Williams College
One-level density for cusp forms of prime square level.
Owen F Barrett & Karl G Winsor
Williams College
Finite conductor models for twists of GL(2) $L$-functions
Christina Rapti & Owen F Barrett
Williams College
The Emergence of 4-Cycles Over Extended Integers
Andrew J Best & Jasmine Powell
Williams College
Intrinsically Planar Linking
Cristopher D Negron & Jonathan Doane
SUNY Potsdam/Clarkson
On Some Inverse Free Boundary Problems for Second Order Parabolic PDE's
Nicholas Crispi & Daniel Kassler
Florida Institute of Technology
Arithmetic Properties of Infinite Products
Michole E Washington
Mathematical Sciences Research Institute
Construction of a New Family of Triangular Fractals
Shuyi Weng
Cornell University
Hole Placement and Klein Links
Kiera W Dobbs
College of Wooster
Combinatorial proof of a q-series identity
Andres J Fernandez
University of San Diego
Fredholm determinants and vanishing of $L$-functions at the central point
Jesse B Freeman
Williams College
A Riemannian Approach to Optimization Over Compact Lie Groups
Jacob W Erickson
Wright State University
On the Density of Ranges of Generalized Divisor Functions
Colin R Defant
Auburn University
Degree Minimal Buchberger Graphs for Strongly Generic Monomial Ideals
Brian D Penko & Megan N Rodriguez
Hood College


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


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

Session: III-A       Room: SO 004       Chair: Prof. Steven Miller
1:15pm 
SO 004  
Properties of some linear stability preservers
Stanislav I Atanasov
Yale University
1:45pm 
SO 004  
Robustness of the Semicircle Law in Patterned and Sparse Matrix Ensembles
Xixi Edelsbrunner & Kimsy Tor
Williams College
2:15pm 
SO 004  
Rotation Number of Outer Billiard with Polygonal Invariant Curves
Zijian Yao
ICERM


Session: III-B       Room: SO 024       Chair: Dr. Caroline Turnage-Butterbaugh
1:15pm 
SO 024  
The Chowla-Selberg Formula for Quartic Abelian CM Fields
Robert A Cass
Texas A\&M University
1:45pm 
SO 024  
Euler Characteristics of $p$-Local Compact Groups
Andrew G Batallas &
Kansas State University
2:15pm 
SO 024  
A Measure of Closeness using the Distance between Two Finite Groups
Eric L Lai & Kim N Pham
University of California, Irvine


Session: III-C       Room: SO 040       Chair: Dr. Dabraj Chakrabarti
1:15pm 
SO 040  
Holder estimates on Cauchy-type integrals in several variables
David J Gunderman & Ellen V Lehet
Central Michigan University
1:45pm 
SO 040  
A New Convolution Theorem for Harmonic Mappings
Susanna T Fullmer
Brigham Young University
2:15pm 
SO 040  
Zeros of Maass Forms of Weight $k$
Oscar E. Gonzalez
Texas A\&M University




2:45pm - 3:45pm     Coffee & Refreshments
Discussion break, poster displays continue



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

Session: IV-A       Room: SO 004       Chair: Dr. Bill Mance
3:45pm 
SO 004  
On Expandability of Discrete Analytic Functions
Fernando Y Roman
Kansas State University
4:15pm 
SO 004  
Unexpected distribution phenomenon resulting from Cantor Series Expansions
Dylan R Airey
University of North Texas


Session: IV-B       Room: SO 024       Chair: Dr. David Crombecque
3:45pm 
SO 024  
P-colorability by pairs as a knot invariant
Bradley A. Rava
University of Southern California
4:15pm 
SO 024  
Knot Depth for Positive Braids
Elliot A Kaplan & Patricia J O'Brien
Michigan State University


Session: IV-C       Room: SO 040       Chair: Dr. Robert Bell
3:45pm 
SO 040  
The Complex Zeros of a Gaussian Random Polynomial
Dhir Patel & Huong N Tran
University of Tennessee at Chattanooga
4:15pm 
SO 040  
Product Laurent Phenomenon Algebras
Gwyneth S Moreland & Stella S Gastineau
University of Michigan





  5:10pm - 6:10pm     Plenary Talk


5:10pm 
EA 160  
Applications of exponential sums to solvability of equations, cryptography and coding
Ivelisse Rubio Canabal
University of Puerto Rico



6:30pm - 8:30pm     Dinner in MW 724

Group Photo before dinner in front of Scott Lab.





Sunday, August 24th



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


8:00am - 9:00am     Mentor Breakfast at Bistro 2110
With discussion of topics related to undergraduate research in mathematics. Chaired by Dr. Craig Jackson



9:30am - 10:45am     Graduate School Orientation
In the 7th floor lounge (MW 724). Question and Answer sesssion on graduate schools with representatives from following institutions:
  • University of Illinois, Urbana-Champaign: Dr. Karen Mortensen
  • University of Pennsylvania: Prof. Christopher Croke
  • The Ohio State University: Prof. Thomas Kerler
  • University of Pittsburgh: Dr. David Swigon
  • University of Kentucky: Prof. Peter Perry
  • Florida Institute of Technology: Prof. Ugur Abdulla
  • University of Chicago: Prof. Benson Farb
  • University of Chicago: Prof. Amie Wilkinson



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

Session: V-A       Room: SO 004       Chair: Dr. Dabraj Chakrabarti
11:00am 
SO 004  
Patterns and Combinatorial Statistics in Restricted Growth Functions
Robert Dorward
Michigan State University
11:30am 
SO 004  
The strange case of the Moebius power series: Reconciling theory and numerical evidence
Yiwang Chen & Tong Zhang
University of Illinois
12:00am 
SO 004  
Pointwise Quasisymmetric Minimality and Uniform Cantor Sets
Zijian Li
Kansas State University


Session: V-B       Room: SO 024       Chair: Prof. Ugur Abdulla
11:00am 
SO 024  
An inequality between the collective and individual times for completing a job.
Dieff Vital & Jose Pastrana Chiclana
The Ohio State University
11:30am 
SO 024  
Explicit bounds for the $\epsilon$-pseudospectra for certain classes of operators.
Abigail R Ward
Williams College
12:00am 
SO 024  




Session: V-C       Room: SO 040       Chair: Prof. Benjamin Weiss
11:00am 
SO 040  
A Theory on Abelian Difference Sets
Yiran Zhang
Wright State University
11:30am 
SO 040  
The Igusa zeta function of a quadratic form over the $p$-adic integers
Raemeon A Cowan & Lauren M White
California State University, Northridge
12:00am 
SO 040  
A Quantum Gauss-Bonnet Theorem
Tyler Friesen
Ohio State University






12:45pm - 1:15pm     Closing Meeting

12:45pm  
MW 724  
Closing Address:   by Professor Luis Casian (department chair)