#### Submissions from 2022

A One-dimensional Field Dislocation Mechanics Model Using Discontinuous Galerkin Method, Ja'Nya Breeden, Dow Drake, Jay Gopalakrishnan, and Saurabh Puri

Fenchel-Rockafellar Theorem in Infinite Dimensions via Generalized Relative Interiors, Dang Van Cuong, Mau Nam Nguyen, B. S. Mordukhovich, and G. Sandine

Korn's Inequality and Eigenproblems for the Lame Operator, Sebastian A. Dominguez-Rivera, Nilima Nigam, and Jeffrey S. Ovall

Computing Leaky Modes of Optical Fibers Using a FEAST Algorithm for Polynomial Eigenproblems, Jay Gopalakrishnan, B. Q. Parker, and P. VandenBerge

Dependence Comparisons of Order Statistics in the Proportional Hazards Model, Subhash C. Kochar

Topological Anomaly Detection in Dynamic Multilayer Blockchain Networks, Dorcas Ofori-Boateng, I. Segovia Dominguez, C. Akcora, M. Kantarcioglu, and Y. R. Gel

An Algorithm for Identifying Eigenvectors Exhibiting Strong Spatial Localization, Jeffrey S. Ovall and Lisa Zurk

#### Submissions from 2021

Stability Conditions for Coupled Autonomous Vehicles Formations, Pablo Baldivieso and J. J. P. Veerman

Effects of Progesterone Concentrations and Follicular Wave During Growth of the Ovulatory Follicle on Conceptus and Endometrial Transcriptome in Dairy Cows., R S. Bisinotto, E S. Ribeiro, L F. Greco, D Taylor-Rodriguez, A D. Ealy, H Ayres, F S. Lima, N Martinez, W W. Thatcher, and J E P Santos

Boolean Network Control with Ideals, Ian H. Dinwoodie

Convergence Analysis of Some Tent-Based Schemes for Linear Hyperbolic Systems, Dow Drake, Jay Gopalakrishnan, Joachim Schöberl, and Christoph Wintersteiger

Where Calculus and Engineering Converge: an Analysis of Curricular Change in Calculus for Engineers, Brittney Marie Ellis, Sean Larsen, Matthew Voigt, and Kristen Vroom

Geometric Characterization of Continuously Defective Elastic Crystals, Marek Z. Elźanowski

Torsion and Curvature in Continuously Defective Solid Crystals, Marek Z. Elźanowski

Multilevel Hierarchical Decomposition of Finite Element White Noise with Application to Multilevel Markov Chain Monte Carlo, Hillary R. Fairbanks, Umberto E. Villa, and Panayot S. Vassilevski

One-Sided Derivative of Distance to a Compact Set, Logan S. Fox, Peter Oberly, and J. J. P. Veerman

Simulations of Single- and Two-Tone Tm-doped Optical Fiber Laser Amplifiers, Tathagata Goswami, J. Grosek, and Jay Gopalakrishnan

Probability Axioms and Set Theory Paradoxes, Ari Herman and John Caughman

Structured Layer Surface Segmentation for Retina OCT Using Fully Convolutional Regression Networks., Yufan He, Aaron Carass, Yihao Liu, Bruno M. Jedynak, Sharon D. Solomon, Shiv Saidha, Peter A. Calabresi, and Jerry L. Prince

Linear Nearest Neighbor Flocks with All Distinct Agents, R. G. Lyons and J. J. P. Veerman

Revealing Students' Stories As They Construct and Use a Statistical Model in Tinkerplots to Conduct a Randomization Test for Comparing Two Groups, Jennifer Noll, Dana Kirin, Kit Clement, and Jason Dolor

Application of Topological Data Analysis to Multi-Resolution Matching of Aerosol Optical Depth Maps, Dorcas Ofori-Boateng, Huikyo Lee, Krzysztof M. Gorski, Michael J. Garay, and Yulia R. Gel

Calling a Taxi(cab): Transforming Ideas of Congruence, Priya V. Prasad and Steven Boyce

Response to Grannis FW. Current Controversies in Cardiothoracic Imaging Overdiagnosis at Lung Cancer Screening-No So Bad After All-Counterpoint, Jerome M. Reich and Jong Kim

Regularized Semi-Nonnegative Matrix Factorization Using L2,1-Norm for Data Compression, Anthony Rhodes and Bin Jiang

Networking Frameworks: a Method for Analyzing the Complexities of Classroom Cultures Focusing on Justifying, Eva Thanheiser, Kathleen Melhuish, Amanda Sugimoto, Brenda Rosencrans, and Ruth Heaton

Five Ps (Policies, Practices, Power structures, Places; and People): A Framework to Analyze Systemic Inequalities, Eva Thanheiser, Lisa Weasel, Idowu Ajibade, Larry Martinez, and Gina Greco

Statistics of a Family of Piecewise Linear Maps, J. J. P. Veerman, P. J. Oberly, and L. S. Fox

#### Submissions from 2020

Some New Results on Stochastic Comparisons of Coherent Systems Using Signatures, Ebrahim Amini-Seresht, Baha-Eldin Khaledi, and Subhash C. Kochar

Multilevel Spectral Coarsening for Graph Laplacian Problems with Application to Reservoir Simulation, Andrew T. Barker, Stephen V. Gelever, Chak Shing Lee, Sarah Osborn, and Panayot S. Vassilevski

Cauchy Distributions for the Integrable Standard Map, Anastasios Bountis, J. J. P. Veerman, and Franco Vivaldi

Relating Students' Units Coordinating and Calculus Readiness, Steven Boyce, Jeffrey A. Grabhorn, and Cameron Byerley

The Cycle Structure of Unicritical Polynomials, Andrew Bridy and Derek Garton

Eigenvalue Problems for Exponential-Type Kernels, Difeng Cai and Panayot S. Vassilevski

Newton Polygons of Hecke Operators, Liubomir Chiriac and Andrei Jorza

Algebraic Core and Convex Calculus Without Topology, Dang Van Cuong, Boris S. Mordukhovich, Mau Nam Nguyen, and Addison Cartmell

Convex Analysis of Minimal Time and Signed Minimal Time Functions, D. V. Cuong, B. S. Mordukhovich, Mau Nam Nguyen, and M. L. Wells

Simulation of Optical Fiber Amplifier Gain Using Equivalent Short Fibers, Dow Drake, Jay Gopalakrishnan, Tathagata Goswami, and J. Grosek

Estimating Posterior Quantity of Interest Expectations in a Multilevel Scalable Framework, Hillary R. Fairbanks, Sarah Osborn, and Panayot S. Vassilevski

A Posteriori Error Estimates for Elliptic Eigenvalue Problems Using Auxiliary Subspace Techniques, Stefano Giani, Luka Grubišić, Harri Hakula, and Jeffrey S. Ovall

A Mass Conserving Mixed Stress Formulation for Stokes Flow with Weakly Imposed Stress Symmetry, Jay Gopalakrishnan, Philip L. Lederer, and Joachim Schoeberl

Structure Aware Runge–Kutta Time Stepping for Spacetime Tents, Jay Gopalakrishnan, Joachim Schöberl, and Christoph Wintersteiger

Predicting Densities and Elastic Moduli of SiO2-based Glasses by Machine Learning, Yong-Jie Hu, Ge Zhao, MingFei Zhang, Bin Bin, Tyler Del Rose, Qian Zhao, Qan Zu, Yang Chen, Xuekun Sun, Maarten de Jong, and multiple additional authors

Nonlinear Multigrid Based on Local Spectral Coarsening for Heterogeneous Diffusion Problems, Chak Shing Lee, Francois Hamon, Nicola Castelletto, Panayot S. Vassilevski, and Joshua A. White

An Essay on Proof, Conviction, and Explanation: Multiple Representation Systems in Combinatorics, Elise Nicole Lockwood, John Caughman, and Keith Weber

An Enhanced Finite Difference Time Domain Method for Two Dimensional Maxwell's Equations, Timothy Meagher, Bin Jiang, and Peng Jiang

Group Theory Students' Perceptions of Binary Operation, Kathleen Mary Melhuish, Brittney Marie Ellis, and Michael D. Hicks

A Bayesian Nonparametric Testing Procedure for Paired Samples, Luz Adriana Pereira, Daniel Taylor-Rodríguez, and Luis Gutierrez

The Valley Version of the Extended Delta Conjecture, Dun Qiu and Andrew Timothy Wilson

Multilevel Graph Embedding, Benjamin Quiring and Panayot S. Vassilevski

Evolving Order and Chaos: Comparing Particle Swarm Optimization and Genetic Algorithms for Global Coordination of Cellular Automata, Anthony D. Rhodes

Numerical Results for Adaptive (negative norm) Constrained First Order System Least Squares Formulations, Andreas Schafelner and Panayot S. Vassilevski

Supporting Novice Mathematics Teacher Educators Teaching Elementary Mathematics Content Courses for the First Time, Siobahn Suppa, Joseph DiNapoli, Eva Thanheiser, Jennifer M. Tobias, and Sheunghyun Yeo

Mathematics to Understand and Critique the World: Reconceiving Mathematics in a Mathematics Content Course for Elementary School Teachers, Eva Thanheiser and Amanda Sugimoto

A Primer on Laplacian Dynamics in Directed Graphs, J. J. P. Veerman and R. Lyons

#### Submissions from 2019

Trefftz Finite Elements on Curvilinear Polygons, Akash Anand, Jeffrey S. Ovall, Samuel E. Reynolds, and Steffen Weisser

Stability Conditions for Coupled Oscillators in Linear Arrays, Pablo Enrique Baldivieso Blanco and J.J.P. Veerman

Developing an Active Approach to Chemistry-Based Group Theory, Anna Marie Bergman and Timothy A. French

Predicting Time to Dementia Using a Quantitative Template of Disease Progression, Murat Bilgel and Bruno Jedynak

A Re-emergent Analysis of Early Algebraic Learning, Steven Boyce and Diana Moss

Maddie's Units Coordinating Across Contexts, Steven Boyce and Anderson Norton

Active Learning in Computer-based College Algebra, Steven Boyce and Joyce O'Halloran

On the Equality Case of the Ramanujan Conjecture for Hilbert Modular Forms, Liubomir Chiriac

Comparing Hecke Coefficients of Automorphic Representations, Liubomir Chiriac and Andrei Jorza

Quasi-relative Interiors for Graphs of Convex Set-valued Mappings, Dang Van Cuong, Boris S. Mordukhovich, and Mau Nam Nguyen

Racial/Ethnic Differences in the Impact of Adverse Childhood Experiences on Posttraumatic Stress Disorder in a Nationally Representative Sample of Adolescents, Jennifer Elkins, Harold E. Briggs, Keva Miller, Irang Kim, Roberto Orellana, and Orion Mowbray

A DC Programming Approach for Solving Multicast Network Design Problems via the Nesterov Smoothing Technique, Wondi Geremew, Mau Nam Nguyen, A. Semenov, V. Boginski, and E. Pasiliao

Spectral Discretization Errors in Filtered Subspace Iteration, Jay Gopalakrishnan, Luka Grubišić, and Jeffrey S. Ovall

Analysis of Feast Spectral Approximations Using the DPG Discretization, Jay Gopalakrishnan, Luka Grubišić, Jeffrey S. Ovall, and Benjamin Q. Parker

A Bayesian Nonparametric Multiple Testing Procedure for Comparing Several Treatments Against a Control, Luis Gutiérrez, Andrés Barrientos, Jorge González, and Daniel Taylor-Rodríguez

Deep Learning Based Topology Guaranteed Surface and MME Segmentation of Multiple Sclerosis Subjects from Retinal OCT, Yufan He, Aaron Carass, Yihao Liu, Bruno Jedynak, Sharon D. Solomon, Shiv Saidha, Peter A. Calabresi, and Jerry L. Prince

A Supervised Learning Approach to Water Quality Parameter Prediction and Fault Detection, Kathleen Joslyn and John Lipor

Optimal Adaptive Sampling for Boundary Estimation with Mobile Sensors, Phillip J. Kearns, John J. Lipor, and Bruno M. Jedynak

A Computational Method for Earthquake Cycles within Anisotropic Media, Maricela Best Mckay and Brittany A. Erickson

The Student Discourse Observation Tool: Supporting Teachers in Noticing Justifying and Generalizing, Kathleen Mary Melhuish, Eva Thanheiser, and Joshua Fagan

Smoothing Techniques and Difference of Convex Functions Algorithms for Image Reconstructions, Mau Nam Nguyen, Le Thi Hoai An, Daniel Giles, and Thai An Nguyen

Bornological Coderivative and Subdifferential Calculus in Smooth Banach Spaces, Mau Nguyen, Hung M. Phan, and Bingwu Wang

Characteristics of Precalculus Through Calculus 2 Programs: Insights From a National Census Survey, Chris Rasmussen, Naneh Apkarian, Jessica Ellis Hagman, Estrella Johnson, Sean Larsen, and David Bressoud

Current Controversies in Cardiothoracic Imaging Low-dose Computerized Tomographic Overdiagnosis of Lung Cancer is Substantial; Its Consequences are Underappreciated-Point, Jerome Reich and Jong Kim

Earlier Diagnosis Not Self-Evidently Beneficial: Natural History of Subcentimeter Lung Cancers, Jerome Reich and Jong Kim

Family Math Night: Increasing Engagement in University Mathematics Courses for Prospective Teachers, Eva Thanheiser

Leveraging Variation of Historical Number Systems to Build Understanding of the Base-Ten Place-Value System, Eva Thanheiser and Kathleen Melhuish

Navigating Around Convex Sets, J. J. P. Veerman

Diffusion and Consensus on Weakly Connected Directed Graphs, J. J. P. Veerman and Ewan Kummel

#### Submissions from 2018

On the Girth and Diameter of Generalized Johnson Graphs, Louis Anthony Agong, Carmen Amarra, John Caughman, Ari J. Herman, and Taiyo S. Terada

Self-Assembled Nanoparticle Antireflection Coatings on Geometrically Complex Optical Surfaces, Khalid Askar, Zhuxiao Gu, Calen J. Leverant, Jiamin Wang, Christopher Kim, Bin Jiang, and Peng Jiang

Reconsidering the Foundations of Thermodynamics from an Engineering Perspective, Terry Bristol

Nonlinear Multigrid Solvers Exploiting AMGe Coarse Spaces with Approximation Properties, Max la Cour Christensen, Panayot S. Vassilevski, and Umberto Villa

BootCMatch: A Software Package for Bootstrap AMG Based on GraphWeighted Matching, Pasqua D'Ambra, Salvatore Filipone, and Panayot S. Vassilevski

Ideals, Big Varieties, and Dynamic Networks, Ian H. Dinwoodie

Connection and Curvature in Crystals with Non-constant Dislocation Density, Marek Z. Elźanowski and Gareth P. Parry

An A Posteriori Estimator of Eigenvalue/Eigenvector Error for Penalty-Type Discontinuous Galerkin Methods, Stefano Giani, Luka Grubisic, Harri Hakula, and Jeffrey S. Ovall

The Auxiliary Space Preconditioner for the de Rham Complex, Jay Gopalakrishnan, Martin Neumüller, and Panayot S. Vassilevski

Dispersion Analysis of HDG Methods, Jay Gopalakrishnan, Manuel Solano, and Felipe Vargas

Gaussian Processes with Context-Supported Priors for Active Object Localization, Bruno Jedynak

Intensity Inhomogeneity Correction of SD-OCT Data Using Macular Flatspace, Andrew Lang, Aaron Carass, Bruno M. Jedynak, Sharon D. Solomon, Peter A. Calabresi, and Jerry L. Prince

Elementary School Teachers’ Noticing of Essential Mathematical Reasoning Forms: Justification and Generalization, Kathleen Mary Melhuish, Eva Thanheiser, and Layla Guyot

Refraining Replication Studies as Studies of Generalizability: A Response to Critiques of the Nature and Necessity of Replication, Kathleen Melhuish and Eva Thanheiser

Clustering and Multifacility Location With Constraints via Distance Function Penalty Methods and DC Programming, Mau Nam Nguyen, Thai An Nguyen, Sam Reynolds, and Tuyen Tran

Students' Use of Narrative when Constructing Statistical Models in TinkerPlots, Jennifer Noll, Kit Clement, Jason Dolor, Dana Kirin, and Matthew Petersen