Publications and creative works by faculty in the Department of Mathematics, College of Science and Mathematics, are collected here.

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Submissions from 2021

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Contributions to the Teaching and Learning of Fluid Mechanics, Ashwin Vaidya (2021)

Submissions from 2020

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Numerical Computations of Vortex Formation Length in Flow Past an Elliptical Cylinder, Matthew Karlson, Bogdan Nita, and Ashwin Vaidya (2020)

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Teaching and Learning of Fluid Mechanics, Ashwin Vaidya (2020)

Submissions from 2019

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3D Microwave Tomography Using the Soft Prior Regularization Technique: Evaluation in Anatomically-Realistic MRI-Derived Numerical Breast Phantoms, Amir H. Golnabi, Paul M. Meaney, Shireen D. Geimer, and Keith D. Paulsen (2019)

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Conventions, Habits, and U.S. Teachers’ Meanings for Graphs, Kevin C. Moore, Jason Silverman, Teo Paoletti, Dave Liss, and Stacy Musgrave (2019)

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Pre-Service Teachers’ Figurative and Operative Graphing Actions, Kevin C. Moore, Irma E. Stevens, Teo Paoletti, Natalie L.F. Hobson, and Biyao Liang (2019)

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Fluids in Music: The Mathematics of Pan’s Flutes, Bogdan Nita and Sajan Ramanathan (2019)

Submissions from 2018

A Greedy Algorithm for Finding a Large 2-Matching on a Random Cubic Graph, Deepak Bal, Patrick Bennett, Tom Bohman, and Alan Frieze (2018)

Minimizing the Number of Independent Sets in Triangle-Free Regular Graphs, Jonathan Cutler and A. J. Radcliffe (2018)

Interlace Polynomials of Friendship Graphs, Christina Eubanks-Turner and Aihua Li (2018)

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Overweight and Obesity: Correlates and Temporal Trends in Global Context, Rajesh Gautam, Amir H. Golnabi, D K. Adak, and P Bharati (2018)

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Reconceptualizing Pedagogical and Curricular Knowledge Development Through Making, Steven Greenstein and Justin Olmanson (2018)

Simplicity and Sustainability: Pointers from Ethics and Science, Mehrdad Massoudi and Ashuwin Vaidya (2018)

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Simplicity and Sustainability: Pointers from Ethics and Science, Mehrdad Massoudi and Ashwin Vaidya (2018)

Rethinking the Teaching and Learning of Area Measurement, Nicole Panorkou (2018)

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Teacher Questioning and Invitations to Participate in Advanced Mathematics Lectures, Teo Paoletti, Victoria Krupnik, Dimitrios Papadopoulos, Joseph Olsen, Tim Fukawa-Connelly, and Keith Weber (2018)

A covariational understanding of function: Putting a horse before the cart, Teo Paoletti and Kevin C. Moore (2018)

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Inverse Function: Pre-Service Teachers’ Techniques and Meanings, Teo Paoletti, Irma E. Stevens, Natalie L.F. Hobson, Kevin C. Moore, and Kevin R. LaForest (2018)

Cause and Consequence of Aβ – Lipid Interactions in Alzheimer Disease Pathogenesis, Vijayaraghavan Rangachari, Dexter N. Dean, Pratip Rana, Ashuwin Vaidya, and Preetam Ghosh (2018)

Submissions from 2017

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Rainbow perfect matchings and Hamilton cycles in the random geometric graph, Deepak C. Bal, Patrick Bennett, Xavier Pérez‐Giménez, and Paweł Prałat (2017)

Partitioning Random Graphs Into Monochromatic Components, Deepak Bal and Louis DeBiasio (2017)

Metastable States in Terminal Orientation of Hinged Symmetric Bodies in a Flow, Doralia Castillo, Bong Jae Chung, Klaus Schnitzer, Karina Soriano, Haiyan Su, and Ashuwin Vaidya (2017)

Entropy Production in a Fluid-Solid System Far from Thermodynamic Equilibrium, Bong Jae Chung, Blas Ortega, and Ashuwin Vaidya (2017)

Maximal-Clique Partitions and the Roller Coaster Conjecture, Jonathan Cutler and Luke Pebody (2017)

The Maximum Number of Complete Subgraphs of Fixed Size in a Graph with Given Maximum Degree, Jonathan Cutler and A. J. Radcliffe (2017)

Freedericksz Transition in Nematic Liquid Crystal Couette Flow, Arup Mukherjee (2017)

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Connecting Advanced and Secondary Mathematics, Eileen Murray, Erin Baldinger, Nicholas Wasserman, Shawn Broderick, and Diana White (2017)

On the Three-Dimensional Interaction Between Flexible Fibers and Fluid Flow, Bogdan Nita and Ryan Allaire (2017)

Numerical Study of Body Shape and Wing Flexibility in Fluid Structure Interaction, Bogdan Nita, Peter Nolan, and Ashuwin Vaidya (2017)

The Parametric Nature of Two Students’ Covariational Reasoning, Teo Paoletti and Kevin C. Moore (2017)

Fatty Acid Concentration and Phase Transitions Modulate Aβ Aggregation Pathways, Pratip Rana, Dexter N. Dean, Edward D. Steen, Ashuwin Vaidya, Vijayaraghavan Rangachari, and Preetam Ghosh (2017)

Submissions from 2016

Rainbow Arborescence in Random Digraphs, Deepak Bal, Patrick Bennett, Colin Cooper, Alan Frieze, and Paweł Prałat (2016)

The Total Acquisition Number of Random Graphs, Deepak Bal, Patrick Bennett, Andrzej Dudek, and Paweł Prałat (2016)

Rainbow Matchings and Hamilton Cycles in Random Graphs, Deepak Bal and Alan Frieze (2016)

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Exploring connections between advanced and secondary mathematics, Erin E. Baldinger, Eileen Murray, Diana White, Shawn Broderick, and Nicholas Wasserman (2016)

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Computing the optimal path in stochastic dynamical systems, Martha Bauver, Eric Forgoston, and Lora Billings (2016)

Wake–Cylinder Interactions of a Hinged Cylinder at Low and Intermediate Reynolds Numbers, Bong Jae Chung, M. Cohrs, Wayne Ernst, G. P. Galdi, and Ashuwin Vaidya (2016)

The Mechanics of Clearance in a Non-Newtonian Lubrication Layer, Bong Jae Chung, Douglas Platt, and Ashuwin Vaidya (2016)

Counting Dominating Sets and Related Structures in Graphs, Jonathan Cutler and A. J. Radcliffe (2016)

A Note on the Values of Independence Polynomials At -1, Jonathan Cutler and Nathan Kahl (2016)

Thermally Induced Aggregation of Rigid Spheres on a Liquid Surface, Eric Forgoston, Leo Hentschker, Siobhan Soltau, Patrick Truitt, and Ashuwin Vaidya (2016)

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Determination of critical nucleation number for a single nucleation amyloid-β aggregation model, Preetam Ghosh, Ashuwin Vaidya, Amit Kumar, and Vijayaraghavan Rangachari (2016)

The Building Blocks of Learning, Jennifer L. Kobrin and Nicole Panorkou (2016)

The Multistep Friendship Paradox, Josh Brown Kramer, Jonathan Cutler, and A. J. Radcliffe (2016)

Submissions from 2015

On the Equilibrium Configurations of Flexible Fibers in a Flow, Ryan Allaire, Pamela Guerron, Bogdan Nita, Peter Nolan, and Ashuwin Vaidya (2015)

Power of K Choices and Rainbow Spanning Trees in Random Graphs, Deepak Bal, Patrick Bennett, Alan Frieze, and Paweł Prałat (2015)

Lazy Cops and Robbers on Hypercubes, Deepak Bal, Anthony Bonato, William B. Kinnersley, and PaweŁ PraŁat (2015)

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Herbivory and Stoichiometric Feedbacks to Primary Production, Jennifer Krumins, Valdis Krumins, Eric Forgoston, Lora Billings, and Wim van der Putten (2015)

Improving teaching through collaborative reflective teaching cycles, Eileen Murray (2015)

Open Peer Commentaries: On Eirini Geraniou & Manolis Mavrikis's "Building Bridges to Algebra through a Constructionist Learning Environment": Proposing a Framework for Exploring "Bridging", Nicole Panorkou (2015)

Elementary Students' Construction of Geometric Transformation Reasoning in a Dynamic Animation Environment, Nicole Panorkou and Alan Maloney (2015)

Planting Seeds of Mathematical Abstraction, Nicole Panorkou and Alan Maloney (2015)

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Noise-induced switching and extinction in systems with delay, Ira Schwartz, Lora Billings, Thomas Carr, and M. Dykman (2015)

Quintic Spline Smooth Semi-Supervised Support Vector Classification Machine, Xiaodan Zhang, Jinggai Ma, Aihua Li, and Ang Li (2015)

Submissions from 2014

The T-Tone Chromatic Number of Random Graphs, Deepak Bal, Patrick Bennett, Andrzej Dudek, and Alan Frieze (2014)

Packing Tree Factors in Random and Pseudo-Random Graphs, Deepak Bal, Alan Frieze, Michael Krivelevich, and Po Shen Loh (2014)

Extremal Graphs for Homomorphisms II, Jonathan Cutler and A. J. Radcliffe (2014)

The Maximum Number of Complete Subgraphs in a Graph with Given Maximum Degree, Jonathan Cutler and A. J. Radcliffe (2014)

Transitions from Live to Online Teaching, Eileen Fernandez (2014)

On the Heat Transfer and Flow of a Non-Homogenous Fluid, J. Fiordilino, M. Massoudi, and Ashuwin Vaidya (2014)

Making Sense of Qualitative Geometry: The Case of Amanda, Steven Greenstein (2014)

Some Experimental Observations on the Pressure Driven Flow of Biomass Suspensions, M. Massoudi, G. Sanchez, Siobhan Soltau, Ashuwin Vaidya, and Jillian Varner (2014)

Robotic Tracking of Coherent Structures in Flows, Matthew Michini, M. Ani Hsieh, Eric Forgoston, and Ira B. Schwartz (2014)

Complexities in Students' Construction of the Polar Coordinate System, Kevin C. Moore, Teo Paoletti, and Stacy Musgrave (2014)

Interlace Polynomials of N-Claw Graphs, Sarita Nemani and Aihua Li (2014)

Submissions from 2013

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Intervention-Based Stochastic Disease Eradication, Lora Billings, Luis Mier-y-Teran-Romero, Brandon Lindley, and Ira Schwartz (2013)

Potential for Energy Harvesting from Vortex Induced Oscillations, M. Cohrs, Wayne Ernst, and Ashuwin Vaidya (2013)

Hypergraph Independent Sets, Jonathan Cutler and A. J. Radcliffe (2013)

Stability Analysis of 4-Species Aβ Aggregation Model: A Novel Approach to Obtaining Physically Meaningful Rate Constants, G. Ghag, P. Ghosh, A. Mauro, V. Rangachari, and Ashuwin Vaidya (2013)

Covariational Reasoning and Invariance Among Coordinate Systems, Kevin C. Moore, Teo Paoletti, and Stacy Musgrave (2013)

Laminar Shear in a Ferrofluid: Stability Studies, Arup Mukherjee, Ashuwin Vaidya, and P. Yecko (2013)

Fostering Creativity Through Personalized Education, Mika Munakata and Ashuwin Vaidya (2013)

Imaging Seismic Data Using Inverse Scattering Theory, Kristin Soriano, Theerapan Oonlamom, and Bogdan Nita (2013)

Numerical Evaluation of a One-Dimensional Inverse Scattering Algorithm for Simultaneous Seismic Imaging and Inversion, Ashley Tasy, Gina Louise Santamaria, and Bogdan Nita (2013)

Relationships Between Body Roundness with Body Fat and Visceral Adipose Tissue Emerging from a New Geometrical Model, Diana M. Thomas, Carl Bredlau, Anja Bosy-Westphal, Manfred Mueller, Wei Shen, Dympna Gallagher, Yuna Maeda, Andrew McDougall, Courtney M. Peterson, Eric Ravussin, and Steven B. Heymsfield (2013)

Solving Second-Order Discrete Sturm-Liouville BVP Using Matrix Pencils, Michael K. Wilson and Aihua Li (2013)

Submissions from 2012

Packing Tight Hamilton Cycles in Uniform Hypergraphs, Deepak Bal and Alan Frieze (2012)

Analytical Solutions to Stokes-Type Flows of Inhomogeneous Fluids, Mehrdad Massoudi and Ashuwin Vaidya (2012)

Encouraging Creativity in Mathematics and Science Through Photography, Mika Munakata and Ashuwin Vaidya (2012)

Optimization of Axial Symmetrical FGM Under the Transient-State Temperate Field, Xiao Dan Zhang, Ya Li Hong, and Aihua Li (2012)

Submissions from 2011

A Modified Stokes-Einstein Equation for Aβ Aggregation, Srisairam Achuthan, Bong Jae Chung, Preetam Ghosh, Vijayaraghavan Rangachari, and Ashuwin Vaidya (2011)

The Behavior of DS-Divisors of Positive Integers, Elizabeth Arango and Aihua Li (2011)

On the Maximum Number of Edges in a Hypergraph with a Unique Perfect Matching, Deepak Bal, Andrzej Dudek, and Zelealem B. Yilma (2011)

Complex Networks and SOA: Mathematical Modelling of Granularity Based Web Service Compositions, S. Chatla, S. Kadam, D. Kolluru, S. Sinha, A. Viswandhuni, and Ashuwin Vaidya (2011)

Non-Equilibrium Pattern Selection in Particle Sedimentation, Bong Jae Chung and Ashuwin Vaidya (2011)

An Entropy Proof of the Kahn-Lovász Theorem, Jonathan Cutler and A. J. Radcliffe (2011)

Extremal Graphs for Homomorphisms, Jonathan Cutler and A. J. Radcliffe (2011)

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Set-based corral control in stochastic dynamical systems: Making almost invariant sets more invariant, Eric Forgoston, Lora Billings, Philip Yecko, and Ira Schwartz (2011)

Negative Dependence and Srinivasan's Sampling Process, Josh Brown Kramer, Jonathan Cutler, and A. J. Radcliffe (2011)

Unsteady Flows of Inhomogeneous Incompressible Fluids, Mehrdad Massoudi and Ashuwin Vaidya (2011)

Context-Based Exercises in Logic: To Park or Not to Park, 'Tis the Question, Mika Munakata (2011)

Submissions from 2010

On the Interlace Polynomials of Forests, C. Anderson, Jonathan Cutler, A. J. Radcliffe, and L. Traldi (2010)

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Switching Exponent Scaling near Bifurcation Points for Non-Gaussian Noise, Lora Billings, Ira Schwartz, Mary McCrary, A. Korotkrov, and M. Dykman (2010)

Vortex Induced Oscillations of Cylinders at Low and Intermediate Reynolds Numbers, Roberto Camassa, Bong Jae Chung, Philip Howard, Richard McLaughlin, and Ashuwin Vaidya (2010)

On the Slow Motion of a Sphere in Fluids with Non-Constant Viscosities, Bong Jae Chung and Ashuwin Vaidya (2010)

Optimal Clusters and Architectures in Complex Networks, S. Kadam, D. Kolluru, Ashuwin Vaidya, and A. Viswanadhuni (2010)

On the Construction of Explicit Solutions to the Matrix Equation X2AX = AXA, Aihua Li and Edward Mosteig (2010)

Taylor-Couette Flow of Ferrofluid: Spin Field and Spin Boundary Condition Effects, Arup Mukherjee, William Childress, and Philip Yecko (2010)

The Mathematics Education Debates: Preparing Students to Become Professionally Active Mathematics Teachers, Mika Munakata (2010)

The Fluid Mechanics of the Eye and the Role of the Mucus Layer, Douglas Platt and Ashuwin Vaidya (2010)