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

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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

Works from 2016

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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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Alexander and writhe polynomials for virtual knots, Blake Mellor

Works from 2015

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

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

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Counting Links in Complete Graphs, Thomas Fleming and Blake Mellor

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

Works from 2008

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

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

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

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Weight Systems for Milnor Invariants, Blake Mellor

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

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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

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

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

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

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

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

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Virtual Spatial Graphs, Thomas Fleming and Blake Mellor

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

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

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

Works from 2006

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

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

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

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

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Intersection Graphs for String Links, Blake Mellor

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Tree Diagrams for String Links, Blake Mellor

Works from 2005

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

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

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

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

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

Works from 2004

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

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

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

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

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

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

Works from 2003

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

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

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

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A Few Weight Systems Arising from Intersection Graphs, Blake Mellor

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

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Finding Common Ground: Collaboration Across the Disciplines in the Scholarship of Teaching, Elaine K. Yakura and Curtis D. Bennett

Works from 2001

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On the existence of finite type link homotopy invariants, Blake Mellor and Dylan Thurston

Works from 2000

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Zero estimates for polynomials in 3 and 4 variables using orbits and stabilisers, Curtis Bennett, Lisa K. Elderbrock, and Andrew M. W. Glass