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

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Works from 2011

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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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Review of Viewpoints: Mathematical Perspective and Fractal Geometry in Art, Blake Mellor

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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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Heavy Episodic Drinking on College Campuses: Does Changing the Legal Drinking Age Make a Difference?, Jawaid W. Rasul, Robert G. Rommel, Geoffrey M. Jacquez, Ben G. Fitzpatrick, Azmy S. Ackleh, Neal Simonsen, and Richard Scribner

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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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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

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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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The Exhibition of Mathematical Art at 2008 Joint Mathematics Meetings, Blake Mellor

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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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Three Dimensional Finite Point Groups and the Symmetries of Beaded Beads, Gwen L. Fisher and Blake Mellor

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An Introduction to Virtual Spatial Graph Theory, Thomas Fleming and Blake Mellor

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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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Rings of Continuous Functions on Spaces of Finite Rank and the SV Property, Suzanne Larson

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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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Rate distributions and survival of the fittest: A formulation on the space of measures, Azmy S. Ackler, Ben G. Fitzpatrick, and Horst R. Thieme

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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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Numerical analysis and simulation of resource-exploration models, Ben G. Fitzpatrick

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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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Bayesian statistical approaches to tracking through turbulence, Ben G. Fitzpatrick, Sarah McCanless, and Yun Wang

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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

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A formula for the A-polynomial of twist knots, Patrick Shanahan

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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Constructing Rings of Continuous Functions in Which There are Many Maximal Ideals with Nontrivial Rank, Suzanne Larson

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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 2002

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An Effective Version of Belyi's Theorem, Lily S. Khadjavi

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The Intermediate Value Theorem in f-Rings, Suzanne Larson

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Control for UAV operations under imperfect information, William M. McEneaney and Ben G. Fitzpatrick

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Ideal theory in Prüfer domains - An unconventional approach, Edward Mosteig

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Valuations and filtrations, Edward Mosteig

Works from 2001

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The Hadamard Core of the Totally Nonnegative Matrices, Alissa Crans

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What to Do on Your Summer Vacation, Alissa Crans

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

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Trace fields of twist knots, Patrick Shanahan

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

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The Fourier-Analytic Proof of Quadratic Reciprocity, Michael Berg

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On Local Objects Attached to Theta- and Zeta-Functions, Michael C. Berg

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Finite Type Link Concordance Invariants, Blake Mellor

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Finite Type Link Homotopy Invariants II: Milnor's invariants, Blake Mellor

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The Intersection Graph Conjecture for Loop Diagrams, Blake Mellor

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Cyclic Dehn surgery and the A-polynomial, Patrick Shanahan

Works from 1999

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Finite Type Link Homotopy Invariants, Blake Mellor

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Mach’s Principle in a Mixed Newton-Einstein Context, Evert Jan Post and Michael Berg

Works from 1998

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Cohomology of Polynomials Under an Irrational Rotation, Lawrence W. Baggett, Herbert A. Medina, and Kathy D. Merrill

Works from 1997

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Linear forms in the logarithms of three positive rational numbers, Curtis D. Bennett, Josef Blass, A. M. W. Glass, David B. Meronk, and Ray P. Steiner

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f-Rings in Which Every Maximal Ideal Contains Finitely Many Minimal Prime Ideals, Suzanne Larson

Works from 1996

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On Functions That Are Trivial Cocycles for a Set of Irrationals. II, Lawrence W. Baggett, Herbert A. Medina, and Kathy D. Merrill

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A Multiple-Precision Division Algorithm, David M. Smith

Works from 1994

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Medium PRF set selection: an approach through combinatorics, Michael C. Berg and A. G. Thomas

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Lattice-Ordered Algebras That Are Subdirect Products of Valuation Domains, Melvin Henriksen, Suzanne Larson, Jorge Martinez, and R. G. Woods

Works from 1993

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On A Generalization of Hecke ϑ-Functions and the Analytic Proof of Higher Reciprocity Laws, Michael C. Berg

Works from 1991

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When is Every Order Ideal a Ring Ideal?, Suzanne Larson

Works from 1990

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The automorphism groups of the hyperelliptic surfaces, Curtis Bennett and Rick Miranda

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Sums of Semiprime, Z, and D L-Ideals in a Class of F-Rings, Suzanne Larson

Works from 1989

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Minimal convex extensions and intersections of primary I-ideals in f-rings, Suzanne Larson

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Minimal convex extensions and intersections of primary I-ideals in f-rings, Suzanne Larson

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Primary l-Ideals in a Class of f-Rings, Suzanne Larson

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Efficient Multiple-Precision Evaluation of Elementary Functions, David M. Smith

Works from 1988

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Pseudoprime L-Ideals in a Class of F-Rings, Suzanne Larson