---

Friday, August 9th

12:00pm - 1:30pm     Registration & Welcome

12:00pm   MW 154	Registration Opens:   Conference Room MW 154   Across from reception desk of Math Tower (231 W 18th Ave)
12:30pm   MW 724	Welcome Address by Research Dean of the College of Arts and Sciences, Dr. Morton O'Kelly
1:10pm   MW 724	Refreshments:  Math Tower 724

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

Session: I-A       Room: SO 004       Chair: Sorenson
1:45pm  SO 004	Prime Running Functions Jaeyoon Kim University of Michigan
2:15pm  SO 004	Supercongruences to higher prime power moduli Aisha Mechery Bryn Mawr College
2:45pm  SO 004	An Algorithm to Compute the Erdos-Selfridge Function $g(k)$ Brianna E Sorenson Butler University

Session: I-B       Room: SO 024       Chair: McNew
1:45pm  SO 024	Periodic orbits in triangular billiards on a sphere Jorge Rivera-Colon The Ohio State University
2:15pm  SO 024	Power Graphs of Finite Groups Allen R Williams The University of Toledo
2:45pm  SO 024	Characterizing Nearly Asymmetric Graphs Emma J Farnsworth Rochester Institute of Technology

Session: I-C       Room: SO N50       Chair: Acharyya
1:45pm  SO N50	The Bipartite Distinct Distances Problem Surya Mathialagan City University of New York
2:15pm  SO N50
2:45pm  SO N50	On the Erdos Conjecture for Primitive Sets in Function Fields Andres Gomez-Colunga & Charlotte E Kavaler Yale University

Session: I-D       Room: SO 040       Chair: Vivas
1:45pm  SO 040	On the stability of optimization algorithms given by discretizations of the Euler-Lagrange ODE Rachel N Walker & Emily Y Zhang Georgia Institute of Technology
2:15pm  SO 040	Pan Flutes and Other Graceful Additions Lotenna Nwobbi O Nwobbi Hobart and William Smith Colleges
2:45pm  SO 040	Chebyshev Linearizations of Matrix Polynomials: Are They Well-Conditioned? Elise E Brod & Rebecca Embar University of California, Santa Barbara

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

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

Session: II-A       Room: SO 004       Chair: Acharyya
3:45pm  SO 004	Determining Optimal Test Functions for the Higher Level Densities of L-functions Charles P Devlin VI Williams College
4:15pm  SO 004	Classifying toric surface codes of dimension 7 Stephanie Ford & Eli Garcia \& Emily Cairncross University of Michigan - Dearborn

Session: II-B       Room: SO 024       Chair: McNew
3:45pm  SO 024	Distinguishing Trees with the Symmetric Chromatic Function by Moving Edges Eric W Fawcett The Ohio State University
4:15pm  SO 024	ABBA and the Random Matrix Discotheque Keller L Blackwell & Wanqiao Xu Williams College

Session: II-C       Room: SO N50       Chair: Sorenson
3:45pm  SO N50	Minkowski sums and Helly theorems for the volume Sherry Sarkar & Alex Xue City University of New York
4:15pm  SO N50	Crescent Configurations In Non-Euclidean Norms Catherine Wahlenmayer & Sara Fish Williams College

Session: II-D       Room: SO 040       Chair: Vivas
3:45pm  SO 040	Hyperfield Extensions Steven E Creech Georgia Institute of Technology
4:15pm  SO 040	Prym varieties of folded $k$-gonal chains of loops Caelan Ritter & Derek Wu \& Steven Creech Georgia Institute of Technology

  5:00pm - 6:00pm     Plenary Talk

5:00pm  EA 160

Graph complexes Sam Payne University of Texas at Austin

6:30pm - 8:30pm     Dinner in Math Tower 724

---

Saturday, August 10th

8:00am - 9:00am     Set up posters


  9:30am - 10:30am     Plenary Talk

9:30am  EA 160

The world through different mathematical lenses: rough vs smooth Tatiana Toro University of Washington

  10:45am - 12:15pm     Posters Presentations

Scott Lab Hallway (lower level)

The Fibonacci Quilt Game Alexandra K Newlon & Catherine G Wahlenmayer Williams College

Almost Abelian Groups, Their Subgroups and Automorphisms Katalin J Berlow & Isaac K Martin UCSB

Distribution of Gaps in Zeckendorf Decompositions from $d$-dimensional Lattices Wanqiao Xu & Neelima Borade Williams College

Distribution of Missing Sums in Correlated Sumsets Thomas C Martinez & Dylan King Williams College

Local Configurational Entropy of Point Clouds Jiaqi Yang The Ohio State University

Enumerating Acyclic Orientations of Complete Multipartite Graphs Daniel C Hathcock Georgia Institute of Technology

Isogenous Elliptic Curves in Post-Quantum Crytography Geneva Schlafly & Zecheng Yi Boise State University

On the Classification of Bivariate Symmetric Ideals Vignesh Jagathese University of Michigan

Ordering Laplacian Eigenvectors Andrew J Benz & Rodrigo Ferreira da Rosa Yale University

Sobolev Orthogonal Polynomials on the Sierpinski Gasket Sreeram R. Venkat & Tian Lan Cornell University

Spies and Traitors: Random Matrix Kaleidoscopes and their Turncoat Eigenvalues Renyuan Ma & Neelima Borade Williams College

Successive Tightening of Pinch Points of Logistic Maps and Fractals Harry H. Xi Princeton University

The Optimal Double Bubble for Density $r^p$ Jackson Petty & Kevin Li Yale University

Methods for Classifying Permutations under Context-Directed Swaps with Applications Rushil Raghavan & Boise State University

Matrix Polynomial Linearizations in the Newton and Lagrange Bases and their Condition Numbers Anthony Ashkar & University of California Santa Barbara

Primitive Root Bias: Schinzel-Type Theorems for Totient Quotients and the Sum-of-Divisors Function Gabriel R Udell & Pomona College

Properties of the exponential map on almost Abelian Lie groups Gautam Rakholia & Zishuo Zhao UCSB

New resummation techniques of divergent series: the Painleve equation PII Michael Heinz Ohio State University

On the Classification of Bi-Invertible Connections Arising From The Small-Index Subfactor Classifica Marcos J Badillo & Geraldo E Soto The Ohio State University

Studying the spectral theory of Laplace-Beltrami operators on almost Abelian groups University of California Santa Barbara

Some advances in directed (co)homology Mingming Yang & Alvaro Pintado The Ohio State University

Oblivious Points on Translation Surfaces Krish Desai & Grace M Zdeblick Yale University

Optimal Densities of Primitive Sets in Function Fields Mirilla Zhu & Andres Gomez-Colunga Yale University

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


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

Session: III-A       Room: SO 004       Chair: Zeytuncu
1:15pm  SO 004	Estimates for the Complex Green Operator on Spheres Elena Kim & W. Jacob Ogden University of Michigan-Dearborn
1:45pm  SO 004	Spectral Analysis of Sum of Squares Operators on Spheres W. Jacob Ogden & Tommie M Reerink University of Michigan-Dearborn
2:15pm  SO 004	On the Diameter and Connectedness of the Cyclic Graph of a Finite Group Stefano Schmidt & Eyob Tsegaye Kent State University

Session: III-B       Room: SO 024       Chair: Mainkar
1:15pm  SO 024	On Congruence Subgroups of the Braid Group Jessica Appel & Katie Gravel Georgia Institute of Technology
1:45pm  SO 024	On the Magnus Representation of the Torelli Group Mira Wattal University of Michigan-Ann Arbor
2:15pm  SO 024	Optimal Hyperbolic Tiles Jack A Hirsch & Christopher M Xue Yale University

Session: III-C       Room: SO N50       Chair: Jabbusch
1:15pm  SO N50	Density, Bounded Gaps, and Green-Tao Theorems for Primes in Chebotarev Classes and Beatty Sequences Caleb Ji & Vaughan McDonald Emory
1:45pm  SO N50	Extensions of Autocorrelation Inequalities with Applications to Additive Combinatorics Sara Fish & Dylan King Williams College
2:15pm  SO N50	Generalizing Zeckendorf's Theorem to Homogeneous Linear Recurrences Clayton M Mizgerd & Chenyang Sun Williams College

Session: III-D       Room: SO 040       Chair: Johnson
1:15pm  SO 040	Generalizations of the Feline and Texas Chainsaw Josephus Problems David A Ariyibi Williams College
1:45pm  SO 040	Dynamical System of Fixed Directions on Convex Regions Jeremy A Quail Queens College, CUNY
2:15pm  SO 040	An Alternative Proof of a Result of Ghomi About Unfoldings of Convex Polyhedra Ilya Marchenko Rice University

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


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

Session: IV-A       Room: SO 004       Chair: Zeytuncu
3:45pm  SO 004	What can we hear about the shape of a fractal? Spectral features of some self-similar sets Nikhil Nagabandi & Elizabeth Melville University of Connecticut
4:15pm  SO 004	Self-similar groups associated to 3N-gaskets Jonathan L Wheeler University of Connecticut

Session: IV-B       Room: SO 024       Chair: Mainkar
3:45pm  SO 024	Bounds on Entropy in Subgroups of the Braid Group Sidhanth V Raman & Ruoyi Wang Georgia Institute of Technology
4:15pm  SO 024	Unlikely Intersections and Portraits of Dynamical Semigroups Talia Blum & Colby Kelln ICERM

Session: IV-C       Room: SO N50       Chair: Jabbusch
3:45pm  SO N50	Exact Formulae for the Fractional Partition Functions Victoria E Talvola & Jonas Vanshika \& Iskander Jain Emory University
4:15pm  SO N50	Ramanujan Congruences for Fractional Partition Functions Yunseo Choi & Erin Kapil \& Bevilacqua Chandran Emory University

  5:10pm - 6:10pm     Plenary Talk

5:10pm  EA 160

Mathematical models in social context Moon Duchin Tufts University

6:30pm     Group photo in front of Math Tower

7:00pm - 9:00pm     Hackathon

---

Sunday, August 11th

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: Fowler
11:00am  SO 004	A Categorification of Biquandle Brackets Vilas S Winstein & Adu Vengal The Ohio State University
11:30am  SO 004	Algebraic Relations Between Partition Functions and the $j$-Function Alice Lin & Eleanor McSpirit Emory University
12:00am  SO 004	Weight $q$-multiplicities for representations of the exceptional Lie algebra $\mathfrak{g}_2$ Melissa Gutierrez Gonzalez Mathematical Sciences Research Institute

Session: V-B       Room: SO 024       Chair: Zeytuncu
11:00am  SO 024	Berezin Transform and Toeplitz Operators on Bergman Spaces Cameron S Austin & Alyssa J Stenberg University of Michigan-Dearborn
11:30am  SO 024	Bergman kernels of some singular Reinhardt domains Austin M Konkel & Evan M Miller Central Michigan University
12:00am  SO 024	Construction of $C^{1,1}$ Solutions to a Hyperbolic Monge-Ampere PDE and Fractal-Like Patterns Yusuf Qaddura Wake Forest University

Session: V-C       Room: SO N50       Chair: Miller
11:00am  SO N50
11:30am  SO N50	When bands play in Random Matrix Theory Leticia Mattos da Silva & Charles P Devlin VI Williams College
12:00am  SO N50	A Version of the Elephant Random Walk and Additive Functionals of Finite State Markov Chains Taylor L Meredith University of Connecticut

12:45pm - 1:15pm     Closing Meeting

12:45pm   SO 040

Closing Address:   Prof. Jean Lafont -- Chair, Department of Mathematics, The Ohio State University

YMC 2019 is supported by NSF Grant DMS-1550117