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Archived Faculty Student Research Projects


 

Summer 2014

  • Lattice Point Geometry
    --with Dr. aBa Mbirika

  • Pattern Avoidance in Trees and Heaps
    --with Dr. Manda Riehl

  • The Moduli Space of 5-dimensional Complex Associative Algebras
    --with Dr. Michael Penkava

  • Software Development for Digital Signal Processing,
    Mathematics of Rhythm and Syncopation II,
    Geometric Analysis of Musical Modes II
    --with Dr. James Walker


Fall 2013-Spring 2014

  • A Comparison of Solutions of the Two Dynamic Riccati Equations on Time Scales
    --with Dr. Chris Ahrendt

  • Moduli Spaces of 5-Dimensional Associative Algebras
    --with Dr. Michael Penkava

  • Mobius Functions, Permutation Patterns, and Posets
    --with Dr. Manda Riehl

  • Dissonance Curves and Musical Harmony
    --with Dr. James Walker

  • Mathematics of Rhythm and Syncopation
    --with Dr. James Walker

  • Spectrograms and Musical Analysis
    --with Dr. James Walker

  • Tait Graphs of n-Component Rational Tangle
    --with Dr. Carolyn Otto

  • Studying the Relationship Between Developmental Math Student Attitudes and Academic Achievement
    --with Dr. Charles Bingen

  • Constructing Spaces of Algebras and Computing their Deformations
    --with Dr. Michael Penkava

  • Simplices and Exceptional Tops
    --with Dr. Ursula Whitcher

  • Reflexive Polytopes and Elliptic Curves
    --with Dr. Ursula Whitcher

  • Genetic Association Mapping in Latinos
    --with Dr. Abra Brisbin

  • Statistical Analysis of Correlated Traits in Family Data
    --with Dr. Abra Brisbin

  • Algebras Associated to the Hasse Graphs of Regular Polytopes
    --with Dr. Colleen Duffy

  • Sonia Kovalevsky High School and Middle School Mathematics Day Assessment and Workshop Design: DI-versity in Math: Gaming to promote exposure
    --with Dr. Dandrielle Lewis

  • Classifying subgroups in a Central Product of Groups
    --with Dr. Dandrielle Lewis

  • Distinguished Colored Links
    --with Dr. Chris Davis

  • A Connection Between a Problem in Lattice Point Geometry and a Problem in Graph Theory
    --with Dr. aBa Mbirika

  • Penalized Regression Computation and Simulations
    --with Dr. Jessica Kraker

 


 Summer 2013

  • Tait Graphs of n-component Tangles
    --with Dr. Carolyn Otto

  • Homology of Tait Graphs of Alternating Knots
    --with Dr. Carolyn Otto

  • The Mobius Function on the Permutation Pattern Poset
    --with Dr. Manda Riehl

  • Triangulations and Tops
    --with Dr. Ursula Whitcher

  • Genetic Association Mapping in Latinos
    --with Dr. Abra Brisbin

  • Classification of 4|1 Dimensional Associative Algebras
    --with Dr. Michael Penkava

  • Further Applications of D8 x D8
    --with Dr. Dandrielle Lewis

  • Sonia Kovalevsky High School Mathematics Day Assessment and Workshop Design
    --with Dr. Dandrielle Lewis

  • Geometrical Descriptions of Musical Modes
    --with Dr. Jim Walker

  • Skew-normal Regression for Identifying the Risk Factors Relate to Low Infant Birth Weight in the US
    --with Dr. Mohammad Aziz

  • Gelfand-Zeitlan Bases for the Weyl Algebra II
    --with Dr. Michael Howe



Fall 2012-Spring 2013


  • Triangulating Reflexive Polytopes
    --with Dr. Ursula Whitcher

  • Comparison of Methods of Association Mapping in Latinos
    --with Dr. Abra Brisbin 

  • Rare Variant Association Mapping for Quantitative Traits
    --with Dr. Abra Brisbin

  • Introduction to D_8 x D_8 and its Subgroup Lattice
    --with Dr. Dandrielle Lewis

  • Genus of Tangle Closures
    --with Dr. Carolyn Otto

  • Moduli Spaces of Associative Algebras
    --with Dr. Michael Penkava
  • Algebra associated to the Hasse graph of regular polytopes
    --with Dr. Colleen Duffy

  • The Deletion Insertion Model for Genome Rearrangement
    --
    with Dr. Manda Riehl

  • Modeling Wind, Rain, and Weather Systems for Geographically Small Areas using Cellular Automata
    --with Dr. Chris Ahrendt

  • Exploring Motivation of High School Mathematics Homework: Data Analysis
    --
    with Dr. Chris Hlas


    Summer 2012

     
  • Zeitlan Bases for the Weyl Algebra
    --with Dr. Michael Howe


  • Moduli Space of Algebras
    --with Dr. Michael Penkava

  • Further Applications of a Containment Relation Between Subgroups of  Direct Product of Groups
    --with Dr. Dandrielle Lewis

  •  Rational Number Invariants for Three-Tangles
    --with Dr. Carolyn Otto

  • Testing Benford's Law with Data from the Mathematical World
    --with Dr. Alex Smith

  • Unpacking the Core Curriculum State Standards for High School Mathematics
    --with Drs. Sherrie Serros and Claudia Giamati

  • Transforming Mathematics Content Courses for Teachers Through Integration of Cognition Bases Assessment Learning Progressions
    --with Drs. Ryan and Jennifer Harrison


    Fall 2011
  • Determining a Group Out of Tangles
    --with Dr. Carolyn Otto

  • Extensions of Infinity Algebras
    --with Dr. Michael Penkava

  • Classification of Polynomial and Rational Lemniscates in the Complex Plane
    --with Dr. Jon Armel

  • Four-Dimensional Polytopes
    --with Dr. Ursula Whitcher

  • Introduction to D_8 x D_8 and its Subgroup Lattice
    --with Dr. Dandrielle Lewis

  • Algebra Associated to the Hasse Graph of the n-Cube
    --with Dr. Colleen Duffy

  • Theta-Embeddings in Words and Wilf Equivalences
    --with Dr. Manda Riehl

  • Opportunities for Outstanding Mathematics Performance for Hmong (OOMPH)
    --with Dr. Manda Riehl

  • Combinatorics of Chord Progressions
    --with Dr. Manda Riehl

  • Analysis of the Interval of Existence for Solutions of Nonlinear Initial Value Problems on Time Scales
    --with Dr. Chris Ahrendt

  • Inequalities and Isomorphism in Lp, p>2, with Alspach Norm
    --with Dr. Simei Tong


    Summer 2011
  • Locating Zeros of Complex Analytic Functions
    --with Dr. Alex Smith

  • Extensions of A-infinity
    --with Dr. Michael Penkava

  • Exploring Motivation of High School Mathematics Students using Novel Techniques: Research Design
    --with Dr. Chris Hlas

  • Mathematical Inequalities and Applications
    --with Dr. Simei Tong

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