Faculty publications from the Department of Mathematics at LMU can be found here.

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Works from 2021

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Quandles with orbit series conditions, Alissa Crans

Works from 2020

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Undergraduate Learning Outcomes for Achieving Data Acumen, Anna E. Bargagliotti, Wendy J. Binder, Thomas Zachariah, and Suzanne Larson

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From biquandle structures to Hom-biquandles, Alissa Crans

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Graphs admitting only constant splines, Alissa Crans and Blake Mellor

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Shining a light on a hidden figure: Dorothy hoover, Lily S. Khadjavi

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A linear optimal feedback control for producing 1,3-propanediol via microbial fermentation, Yangping Ma

Works from 2019

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On the structure of Hom quandles, Alissa Crans

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Finite n-quandles of Torus and Two-bridge Links, Alissa Crans, Blake Mellor, and Patrick Shanahan

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The origins of spectra, an organization for LGBT mathematicians, Lily S. Khadjavi

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An enumeration process for racks, Patrick Shanahan

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Remarks on Suzuki's epimorphism number, Patrick Shanahan

Works from 2018

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Facilitators and outcomes of STEM-education groups working toward disciplinary integration, Anna E. Bargagliotti

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

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The Multilinear Structure of ReLU Networks, Thomas Laurent

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Stochastic maximum principle for partial information optimal investment and dividend problem of an insurer, Yanping Ma

Works from 2017

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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

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An analysis of secondary teachers' reasoning with participatory sensing data, Anna E. Bargagliotti

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Educating the whole child: Kindergarten mathematics instructional practices and students' academic and socioemotional development, Anna E. Bargagliotti

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Using Learning Trajectories for Teacher Learning to Structure Professional Development, Anna E. Bargagliotti

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On Homology of Associative Shelves, Alissa Crans

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A Novel Fractional Microbial Batch Culture Process and Parameter Identification, Yanping Ma

Works from 2016

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When mathematics and statistics collide in assessment tasks, Anna E. Bargagliotti

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

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

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

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

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

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

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Generalized local and nonlocal master equations for some stochastic processes, Yanping Ma

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Alexander and writhe polynomials for virtual knots, Blake Mellor

Works from 2015

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Combinatorical and Statistical Issues related to the Kruskal-Wallis Statistic, Anna E. Bargagliotti

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The Statistical Education of Teachers: Preparing Teachers to Teach Statistics, Anna E. Bargagliotti

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

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Solving the KO Labyrinth, Alissa Crans and Robert J. Rovetti

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

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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

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

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

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A stochastic model for microbial fermentation process under Gaussian white noise environment, Yanping Ma

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The Mathematics of Symmetry and Attitudes towards Mathematics, Blake Mellor

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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

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A Unifying Framework for Teaching Nonparametric Statistical Tests, Anna E. Bargagliotti

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La formazione degli insegnanti: una necessità non più rinviabile, Anna E. Bargagliotti

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

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

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Hom Quandles, Alissa S. Crans and Sam Nelson

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

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

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

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

Works from 2013

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

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Decision making using rating systems: When scale meets binary, Anna E. Bargagliotti

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The impact of technology-based mathematics after-school program using ALEKS on students’ knowledge and behaviors, Anna E. Bargagliotti

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The impact of technology-based mathematics after-school program using ALEKS on students’ knowledge and behaviors, Anna E. Bargagliotti

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What Can We Learn about Effective Early Mathematics Teaching? A Framework for Estimating Causal Effects using Longitudinal Survey Data, Anna E. Bargagliotti

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

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

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

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

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

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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

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

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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

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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

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GAISEing into the Statistics Common Core, Anna E. Bargagliotti

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

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Linear rank tests of uniformity: Understanding inconsistent outcomes and the construction of new tests, Anna E. Bargagliotti

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The effects of a traditional and technology-based after-school program on 6th grade students’ mathematics skills, Anna E. Bargagliotti

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The effects of a traditional and technology-based after-school program on 6th grade students’ mathematics skills, Anna E. Bargagliotti

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

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

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

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

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Congrats you’re ABD! Now what?, Alissa Crans

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

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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

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

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

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

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

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

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

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

Works from 2011

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Statistical significance of ranking paradoxes, Anna E. Bargagliotti

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

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

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

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Finitely 1-convex f-rings, Suzanne Larson

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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

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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

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

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

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

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

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

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Application of population dynamics to study heterotypic cell aggregations in the near-wall region of a shear flow, Yanping Ma

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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

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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

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Aggregating and decision making using ranked data, Anna E. Bargagliotti

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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