#### Works from 2018

Deep Linear Networks with Arbitrary Loss: All Local Minima Are Global, Thomas Laurent

The Multilinear Structure of ReLU Networks, Thomas Laurent

#### Works from 2017

Optimization and Control of Agent-Based Models in Biology: A Perspective, G. An, B. G. Fitzpatrick, S. Christley, P. Federico, A. Kanarek, R. Miller Neilan, M. Oremland, R. Salinas, R. Laubeanbacher, and S. Lenhart

#### Works from 2016

The Segal–Shale–Weil representation, the indices of Kashiwara and Maslov, and quantum mechanics, Michael C. Berg

The regularity of the boundary of a multidimensional aggregation patch, Andrea L. Bertozzi, John B. Garnett, Thomas Laurent, and Joan Verdera

Consistency of Cheeger and Ratio Graph Cuts, Nicolas Garcia Trillos, Dejan Slepcev, James von Brecht, Thomas Laurent, and Xavier Bresson

Involutory quandles of (2,2,r)-Montesinos links, Jim Hoste and Patrick D. Shanahan

Links with finite n-quandles, Jim Hoste and Patrick D. Shanahan

Colorings, determinants and Alexander polynomials for spatial graphs, Terry Kong, Alec Lewald, Blake Mellor, and Vadim Pigrish

Alexander and writhe polynomials for virtual knots, Blake Mellor

#### Works from 2015

Enhanced Lasso Recovery on Graph, Xavier Bresson, Thomas Laurent, and James von Brecht

The Forbidden Number of a Knot, Alissa S. Crans, Blake Mellor, and Sandy Ganzell

Injury-Initiated Clot Formation Under Flow: A Mathematical Model with Warfarin Treatment, Lisette dePillis, Erica J. Graham, Kaitlyn Hood, Yanping Ma, Ami Radunskaya, and Julie Simons

Doing the Scholarship of Teaching and Learning in Mathematics, Jacqueline M. Dewar and Curtis D. Bennett

The Big Impact of Small Groups on College Drinking, Ben G. Fitzpatrick, Jason Martinez, Elizabeth Polidan, and Ekaterini Angelis

The Mathematics of Symmetry and Attitudes towards Mathematics, Blake Mellor

Increasing Retention in STEM: Results from a STEM Talent Expansion Program at the University of Memphis, Alistair Windsor, Anna E. Bargagliotti, Rachel Best, Donald Franceschetti, John Haddock, Stephanie Ivey, and David Russomanno

#### Works from 2014

On axiomatic definitions of non-discrete affine buildings, Curtis D. Bennett, Petra N. Schwer, and Koen Struyve

An Incremental Reseeding Strategy for Clustering, Xavier Bresson, Huiyi Hu, Thomas Laurent, Arthur Szlam, and James von Brecht

Hom Quandles, Alissa S. Crans and Sam Nelson

Crossed modules of racks, Alissa S. Crans and Friedrich Wagemann

Symmetries of embedded complete bipartite graphs, Erica Flapan, Nicole Lehle, Blake Mellor, Matt Pittluck, and Xan Vongsathorn

Complete bipartite graphs whose topological symmetry groups are polyhedral, Blake Mellor

Simulation of the Sampling Distribution of the Mean Can Mislead, Ann E. Watkins, Anna E. Bargagliotti, and Christine Franklin

#### Works from 2013

Counting Links and Knots in Complete Graphs, Loren Abrams, Blake Mellor, and Lowell Trott

SOTL and Interdisciplinary Encounters in the Study of Students’ Understanding of Mathematical Proof, Curtis D. Bennett and Jacqueline Dewar

Congruence Classes of 2-adic Valuations of Stirling Numbers of the Second Kind, Curtis Bennett and Edward Mosteig

An Adaptive Total Variation Algorithm for Computing the Balanced Cut of a Graph, Xavier Bresson, Thomas Laurent, David Uminsky, and James H. von Brecht

Polynomial knot and link invariants from the virtual biquandle, Alissa S. Crans, Allison Henrich, and Sam Nelson

Torsion in one-term distributive homology, Alissa S. Crans, Józef H. Przytycki, and Krzysztof K. Putyra

What Can We Learn About Effective Early Mathematics Teaching? A Framework for Estimating Causal Effects Using Longitudinal Survey Data, Cassandra Guarino, Steven G. Dieterle, Anna E. Bargagliotti, and William M. Mason

Twisted Alexander polynomials of 2-bridge knots, Jim Hoste and Patrick D. Shanahan

A Method Based on Total Variation for Network Modularity Optimization using the MBO Scheme, Huiyi Hu, Thomas Laurent, Mason A. Porter, and Andrea L. Bertozzi

Cohomology of Frobenius Algebras and the Yang-Baxter Equation, J. Scott Carter, Alissa S. Crans, Mohamed Elhamdadi, Enver Karadayi, and Masahico Saito

#### Works from 2012

How well do the NSF Funded Elementary Mathematics Curricula align with the GAISE report recommendations?, Anna E. Bargagliotti

The Effectiveness of Blended Instruction in Core Postsecondary Mathematics Courses, Anna E. Bargagliotti, Fernanda Botelho, Jim Gleason, John Haddock, and Alistair Windsor

The Double Cover of the Real Symplectic Group and a Theme from Feynman’s Quantum Mechanics, Michael Berg

Characterization of radially symmetric finite time blowup in multidimensional aggregation equations, Andrea L. Bertozzi, John B. Garnett, and Thomas Laurent

Convergence of a Steepest Descent Algorithm for Ratio Cut Clustering, Xavier Bresson, Thomas Laurent, David Uminsky, and James H. von Brecht

Enhancements of rack counting invariants via dynamical cocycles, Alissa S. Crans, Sam Nelson, and Aparna Sarkar

Forecasting the Effect of the Amethyst Initiative on College Drinking, Ben G. Fitzpatrick, Richard Scribner, Azmy S. Ackleh, Jawaid Rasul, Geoffrey Jacquez, Neal Simonsen, and Robert Rommel

Spatial Graphs with Local Knots, Erica Flapan, Blake Mellor, and Ramin Naimi

Upper bounds in the Ohtsuki-Riley-Sakuma partial order on 2-bridge knots, Scott M. Garrabrant, Jim Hoste, and Patrick D. Shanahan

Effects of Visual, Auditory, and Kinesthetic Imagery Interventions on Dancers’ Plié Arabesques, Teresa Heiland and Robert Rovetti

Computational modeling and numerical methods for spatiotemporal calcium cycling in ventricular myocytes, Michael Nivala, Enno de Lange, Robert J. Rovetti, and Zhilin Qu

On Levi-Civita’s Alternating Symbol, Schouten’s Alternating Unit Tensors, CPT, and Quantization, Evert Jan Post, Stan Sholar, Hooman Rahimizadeh, and Michael Berg

A New Topological Perspective on Quantization in Physics, Hooman Rahimizadeh, Stan Sholar, and Michael Berg

Computational Modeling and Numerical Methods for Spaciotemporal Calcium Cycling in Ventricular Myocytes, Robert Rovetti

#### Works from 2011

Beyond Formulas: A Collaboration between Liberal Arts Honors Underclassmen and Senior Math Majors, Alissa S. Crans and Robert J. Rovetti

Robustness, Weak Stability, and Stability in Distribution of Adaptive Filteringalgorithms Under Model Mismatch, Ben G. Fitzpatrick, G. Yin, and Le Yi Wang

Complete graphs whose topological symmetry groups are polyhedral, Eric Flapan, Blake Mellor, and Ramin Naimi

Student Surveys: What Do They Think?, Blake Mellor, Holly Zullo, John George, Richard Spindler, Kelly Cline, Katharine Gurski, Jack Oberweiser, Ann Stewart, Mark Parker, Ron Buckmire, Jakob Juul Larsen, Dennis Peterson, and Christopher Storm

The Effects of 24 Weeks of Resistance Training with Simultaneous Elastic and Free Weight Loading on Muscular Performance of Novice Lifters, Robert Rovetti

#### Works from 2010

Symmetry of Nonparametric Statistical Tests on Three Samples, Anna E. Bargagliotti and Donald G. Saari

Drawing a Triangle on the Thurston Model of Hyperbolic Space, Curtis D. Bennett, Blake Mellor, and Patrick D. Shanahan

Derived Categories and the Analytic Approach to General Reciprocity Laws. Part III, Michael Berg

Situating SoTL Within the Disciplines: Mathematics in the United States as a Case Study, Jacqueline Dewar and Curtis Bennett

Epimorphisms and boundary slopes of 2–bridge knots, Jim Hoste and Patrick D. Shanahan

Spark-induced Sparks as a Mechanism of Intracellular Calcium Alternans in Cardiac Myocytes, Robert J. Rovetti, Xiaohua Cui, Alan Garfinkel, James N. Weiss, and Zhilin Qu

#### Works from 2009

Ecosystem Modeling of College Drinking: Parameter Estimation and Comparing Models to Data, Azmy S. Ackleh, Ben G. Fitzpatrick, Richard Scribner, Neal Simonsen, and Jeremy J. Thibodeaux

Period-doubling Bifurcation in an Array of Coupled Stochastically-excitable Elements Subjected to Global Periodic Forcing, Xiaohua Cui, Robert J. Rovetti, Ling Yang, Alan Garfinkel, James N. Weiss, and Zhilin Qu

Counting Links in Complete Graphs, Thomas Fleming and Blake Mellor

Period-Doubling Bifurcation in an Array of Coupled Stochastically Excitable Elements Subjected to Global Periodic Forcing, Robert Rovetti

#### Works from 2008

Cohomology of Categorical Self-Distributivity, J. Scott Carter, Alissa S. Crans, Mohamed Elhamdadi, and Masahico Saito

Musical Actions of Dihedral Groups, Alissa S. Crans, Thomas M. Fiore, and Ramon Satyendra

Intrinsic linking and knotting are arbitrarily complex, Erica Flapan, Blake Mellor, and Ramin Naimi

Weight Systems for Milnor Invariants, Blake Mellor

Value Monoids Of Zero-Dimensional Valuations Of Rank 1, Edward Mosteig

Evaluation of Advanced Adhesives for Aerospace Structures, P. Stoyanov, N. Rodriguez, T. Dickinson, D. H. Nguyen, E. Park, J. Foyos, V. Hernandez, J. Ogren, Michael Berg, and Omar S. Es-Said

#### Works from 2007

Exotic Statistics for Strings in 4d BF Theory, John C. Baez, Derek K. Wise, and Alissa S. Crans

The Probability of Relatively Prime Polynomials, Arthur T. Benjamin and Curtis D. Bennett

Derived Categories and the Analytic Approach to General Reciprocity Laws. Part II, Michael Berg

Cohomology of the adjoint of Hopf algebras, J. Scott Carter, Alissa S. Crans, Mohamed Elhamdadi, and Masahico Saito

Intrinsic Linking and Knotting in Virtual Spatial Graphs, Thomas Fleming and Blake Mellor

Virtual Spatial Graphs, Thomas Fleming and Blake Mellor

Computing Boundary Slopes of 2-Bridge Links, Jim Hoste and Patrick Shanahan

Boundary slopes of 2-bridge links determine the crossing number, Jim Hoste and Patrick D. Shanahan

Macroscopic Consequences of Calcium Signaling in Microdomains: A First-Passage-Time Approach, Robert Rovetti

#### Works from 2006

Linked Exact Triples of Triangulated Categories and a Calculus of t-Structures, Michael Berg

Intrinsic linking and knotting of graphs in arbitrary 3–manifolds, Erica Flapan, Hugh Howards, Don Lawrence, and Blake Mellor

Chord Diagrams and Gauss Codes for Graphs, Thomas Fleming and Blake Mellor

A Sequence of Polynomials for Approximating Arctangent, Herbert A. Medina

Intersection Graphs for String Links, Blake Mellor

Tree Diagrams for String Links, Blake Mellor

#### Works from 2005

From Loop Groups to 2-Groups, John C. Baez, Danny Stevenson, Alissa S. Crans, and Urs Schreiber

Recounting the Odds of an Even Derangement, Arthur T. Benjamin, Curtis T. Bennett, and Florence Newberger

Derived Categories and the Analytic Approach to General Reciprocity Laws. Part I, Michael Berg

A Map on the Space of Rational Functions, G. Boros, J. Little, V. Moll, Edward Mosteig, and R. Stanley

Commensurability classes of twist knots, Jim Hoste and Patrick D. Shanahan

#### Works from 2004

Higher Dimensional Algebra VI: Lie 2-Algebra, John C. Baez and Alissa S. Crans

Fermat's Last Theorem for Rational Exponents, Curtis D. Bennett, A. M. W. Glass, and Gábor J. Székely

A New Proof of a Theorem of Phan, Curtis Bennett and Sergey Shpectorov

On the Topology of Celtic Knot Designs, Gwen Fisher and Blake Mellor

Tree Diagrams for String Links II: Determining Chord Diagrams, Blake Mellor

The Growth of Valuations on Rational Function Fields in Two Variables, Edward Mosteig and Moss Sweedler

#### Works from 2003

Discrete Velocity Fields with Explicitly Computable Lagrangian Law, Curtis D. Bennett and Craig L. Zirbel

Uniform Approximation of Continuous Functions on a Compact Riemann Surface by Elliptic Modular Forms, Michael Berg

Stochastic Game Approach to Air Operations, Ben G. Fitzpatrick, William M. McEneaney, and Istvan G. Lauko

A Few Weight Systems Arising from Intersection Graphs, Blake Mellor

A Geometric Interpretation of Milnor's Triple Invariants, Blake Mellor and Paul Melvin