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AMS - PME Student Poster Session (3:00 PM - 4:30 PM PT)

Topological Data Analysis and its Application to Drift Wave Turbulence

Sage Stanish

College of William & Mary

00 General and overarching topics; collections

A flow network model to track Covid infection through time

Andrew Zhang

Wayzata High School

05 Combinatorics

The Other Side of the Fence: Existing Obesity Rates & Predatory Location Choice of New Fast Food Chain Franchisees

Ryka Chopra

William Hopkins Junior High School

91 Game theory, economics, social and behavioral sciences

Laplacian Eigenvalues of Bipartite Kneser-Like Graphs

Brandon Lee

University of Texas at El Paso

DNA Coding Theory

Dashleen Gonzalez

University of Puerto Rico, Mayaguez

%-Immanants and Kazhdan-Lusztig Immanants

Dawei Shen

Washington University In St. Louis

Riordan Array Representations of Catastrophe Paths

Jai James

American University

Symmetry Parameters in Kneser Graphs

James Garrison

Hampden-Sydney College

On the Distance Spectra of Extended Double Stars

Jerry Tan

MIT PRIMES

The Structural Incidence Problem for Cartesian Products

Junxuan Shen

California Institute of Technology

Generalized Two-player Pebbling Games on Simple Graphs

Kayla Barker

Stockton University

Induced-Saturation with Star Graphs

Kevin Hua

Pomona College

Using Graph Coloring to Measure Network Reliability

Mason Nakamura

Marist College

Induced Matching Game on Graphs

Michael Rivera

University of Puerto Rico Mayaguez

Enumerating Polyominoes on the Torus and Other Finite Surfaces

Naftoli Kolodny

Suny Binghamton

Partitioning, Propagation Time, and Determination of End States for Multi-Color Forcing in Graphs

Nicholas Radley

La Salle University

Counting weighted maximal chains in the circular Bruhat order

Olivia McGough

Reed College

Laplacian Simplices Associated to Graphs

Paige Allen

Lewis University

Spinors and Graph Theory

Thomas Meyer

Amherst College

Markov Models for the Tipsy Cop and Robber Game on Graphs

Viktoriya Bardenova

Florida Gulf Coast University

Subsums of Random Numbers

Yifan Zhang

University of Illinois at Urbana-Champaign

Searching for Ideals in Hypercube Posets

Madelyn Kisner

W&J

06 Order, lattices, ordered algebraic structures

Investigating a Graph Theory Game

Eric Burkholder

Valparaiso University

102 Recreational mathematics

The Pop operator on m-Tamari lattices

Letong Hong

Massachusetts Institute of Technology

Topology and Ecology: Deducing States of the Upper Mississippi River System

Killian Davis

Clemson University

104 Wider issues

Overpartitions and Quantum Modular Forms

Anna Dietrich

11 Number theory

Supersingular Loci from Traces of Hecke Operators

Kevin Gomez

Vanderbilt University

Musical Polybius Cipher: Encryption and Composition

Nayma Rodriguez-Huerta

St. Edward's University

Actions and Factorizations

Gradmar Maldonado Marti

UPR Mayagüez

13 Commutative algebra

Hilbert Series of Invariants of

Michael Shible

Rhodes College Department of Mathematics and Computer Science

Factorizations in evaluation monoids of Laurent semirings

Sophie Zhu

MIT-PRIMES Program

A 3D printed Arduino powered electronic Barth Sextic

Samantha Maurer

University of Wisconsin – Eau Claire

14 Algebraic geometry

On the Minimum Distance of Polar Hermitian Grassmann Codes

Sarah Gregory

University of Richmond

The Picard Group of a General Toric Variety In Higher Dimensions

Xiaorun Wu

Princeton University

Characterizing the Numerical Range of Block Toeplitz Operators

Maverick Lara

Cal Poly San Luis Obispo

15 Linear and multilinear algebra; matrix theory

Copositive Matrices, their Dual, and the Recognition Problem

Yuqiao Li

College of William and Mary

The Center of the Quantum Matrix Algebra at Roots of Unity

Thomas Lamkin

Miami University

16 Associative rings and algebras

Topological Entropy of Simple Braids

Luke Robitaille

Robitaille Homeschool

20 Group theory and generalizations

Characterization of Rectifiable Measures Carried by Lipschitz Graphs

Zichen Zhang

Macalester College

28 Measure and integration

Graphs, Adjacency Matrices and Stable Polynomials

Yang Hong

Bucknell University

32 Several complex variables and analytic spaces

Deep Learning Techniques for Solving Semilinear Parabolic Partial Differential Equations

Evan Davis

University of Wisconsin-Madison

35 Partial differential equations

Laplacian on the 2-Fibonacci Fractal at the Critical Angle

Suyi Gao

McDaniel College

Period Doubling Cascades from Models and from Data

Alexander Berliner

Department of Mathematics, College of William and Mary, Williamsburg, Virginia, USA

37 Dynamical systems and ergodic theory

A Mathematical Analysis of the Inhibition Stabilized Network

Artiom Bic

Manhattan College

Deconvolution of Temporally Under-Resolved Image Sequences for Coupled Dynamical Systems

Ben Maloy

Tufts University

The Finite Blocking Problem on Cyclic Covers of the Regular Octagon

Jessica Bennett

Brown University

Lill Paths and Beloch Squares

Hadley Vaughn

St. Edward’s University

12 Field theory and polynomials

Hyperbolicity in Asymmetrical Lemon Billiards

Rian Boutin

Fairfield University

Stability and Bifurcation Analysis of a Vibro-Impact Nonlinear Energy Sink With Poincare Map

Ruofeng Liu

Rice University

Reduction Algorithms in Volterra Integral Equations

Sarah Rosen

45 Integral equations

Investigations of Inequalities Related to Spectral Set Problems

Clare Bassano

47 Operator theory

Extension of McDougall’s Circle Theorem

Olivia Bouthot

Colorado College

51 Geometry

Existence of Numerical Semigroups on Faces of Kunz Polyhedra

Jessica Wang

Worcester Polytechnic Institute

52 Convex and discrete geometry

Characterizing Posets Associated to the Faces of the Kunz Polyhedron

Simon Foss

University of Chicago

Synthetic Geometry in Hyperbolic Simplices

Andrew Clickard

Bloomsburg University of Pennsylvania

53 Differential geometry

The Top Dyer-Lashof Operation on the Bar Spectral Sequence of an iterated loop space

Sushanth Sathish Kumar

PRIMES USA Program

55 Algebraic topology

Braid Indices of 1-Bridge Braids

Dane Gollero

University of Utah

57 Manifolds and cell complexes

Equivalence in Discrete Morse Functions on Graphs

Eli Meyers

Research Science Institute

Large 1-systems of Curves in non-orientable surfaces

Julia Shneidman

Rutgers University

Automorphisms of the fine curve graph

Thi Phuong Anh Pham

The University of Texas at Dallas

Extensions of True Skewness for Unimodal Distributions

Christopher Wang

Columbia University

60 Probability theory and stochastic processes

Recurrence on the Threshold Frog Model

Zoe McDonald

Boston University

American Option Pricing Based on Wavelet Denoised Machine Learning Methods

Benjamin Wu

Western Connecticut State University

62 Statistics

An Analysis of Classification Models Predicting Pancreatic Cancer Via Urinary Biomarker Panel

Jonah Silverman

Muhlenberg College

COVID-19, Climate and Socioeconomic Status in the United States: A Bayesian Analysis of County-Level Case Data

Jordan Bramble

University of Kansas

Improving Neural Network Training Using Sobolev Loss Functions

Aparna Gupte

65 Numerical analysis

Principal Component Analysis Based Method to Predict Temperatures

Kaitlyn Roberts

Western CT State University

A stable sampling method for inverse scattering from periodic structures

Kale Stahl

Kansas State University

COVID-19 Pandemic Analysis by the Volterra Integral Equation Models: A Preliminary Study of Brazil and South Africa

Kate Gilbert

Roger Williams University

Phase Retrieval from Local Measurements via Structured Lifting and Eigenvector-based Angular Synchronization

Nicole Baker

Oakland University

Interpreting Epigenetic Aging with Deep Neural Networks Using High Dimensional DNA Methylation Data

Hannah Guan

Basis San Antonio Shavano

68 Computer science

Implementation of LSTM Model in Financial Time Series Data Forecasting

Ian McCallum

The Power of Many: A Physarum Swarm Steiner Tree Algorithm

Sheryl Hsu

MIT PRIMES-USA

The Transferability of the Fast Gradient Sign Attack on Quantum Neural Networks

Vincent Li

Engineering Magnet Lattices to Manipulate Guided Acoustic Waves in Plate Like Structures

Olivia Lutterman

Carthage College

74 Mechanics of deformable solids

Predicting Startup Behavior of Heat Pipes and Vapor Chambers from a Frozen State

Chloe Shiff

Brandeis University

76 Fluid mechanics

Visualizing the Mathematics of Quantum Computing Using Qiskit

Nicholas Forman

St. Josephs' College, NY

81 Quantum theory

A post-quantum blockchain application in M-band Wavelet and Fresnel domain: A steganography based, decentralized, distributed ledger system

Sonok Mahapatra

Measuring Gerrymandering: Investigating the distributions of party ratios for districting techniques.

Amy Moore

Elon University

Emergence of expressed and private opinion discrepancies in online social networks under media influence

Christina Catlett

Scripps College

Statistical Teleodynamics Analysis of Emergent Equilibria in the Schelling Model

Jessica Shi

Some Limiting Problems in Utility Maximization

Nicholas Grabill

University of Michigan

An Adaptive Hegselmann–Krause Model of Opinion Dynamics

Phousawanh Peaungvongpakdy

Harvey Mudd College

A Topological and Non-Euclidean Dynamical Model of Biological and Viral Membranes

Alexander Novakovic

Boston University, Department of Biochemistry and Molecular Biology

92 Biology and other natural sciences

Simple stage-structured population models: An ODE approach based on reproductive potential

Ben Reale

Siena College

Image digitization and calculation of forces for osteocyte viscoelastic networks

Kausik Das

Herd Immunity Threshold in Small World Models

Madeline Slunt

University of Mary Washington

Intergral Projection Model of the Gizzard Shad (Dorosoma cependianum) Incorporating Winter Temperature

Mya Austin

Winona State University

Modeling SARS-CoV-2 to Predict its Effect on Patients with End-Stage Renal Disease (Worcester Polytechnic Institute REU in Industrial Mathematics and Statistics 2021)

Olivia Tom

Surviving Ragnarok: Modeling Humanity’s Chance of Survival After a Major Disaster Event

Stephen Creamer

Wofford College

Characterizing POTS using mathematical modeling and machine learning

Teresa Jones

Virginia Wesleyan University

A mathematical model of combination therapies for organ transplantation

McKenna Kaczanowski

Ball State University

Within-host Model of Poliovirus Control by Defective Interfering Particles and Interferon

Wei Wang

William & Mary

Improving Bounds of Hermitian-Lifted Codes with their Automorphism Group

Eric Pabon-Cancel

94 Information and communication, circuits

A New Decoding Algorithm for Correcting Both a Single Insertion and Single Deletion Error in Helberg codes

Liam Busch

Rowan University

On Good Infinite Families of Toric Codes or the Lack Thereof

Ryan Martinez

Discourse Sheaves to Model Opinion Dynamics on Watts-Strogatz Networks

Sarah Vermette

College of the Holy Cross

New Linear Codes from 2-Generator Quasi-Twisted Codes

Saurav Pandey

Kenyon College

Using Persistent Homology to Analyze the Topological Signature of William Shakespeare

Abbey Gobble

Rhodes College