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 2026

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Describing preservice secondary mathematics teachers’ critical statistical literacy habits of mind enactment, Nina G. Bailey and Allison W. McCulloch (2026)

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Generalized Ramsey numbers of cycles, paths, and hypergraphs, Deepak Bal, Patrick Bennett, Emily Heath, and Shira Zerbib (2026)

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On the multicolor Ramsey numbers of balanced double stars, Deepak Bal, Louis DeBiasio, and Ella Oren-Dahan (2026)

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A note on the alternating number of independent sets in a graph, Jonathan Cutler, Nathan Kahl, and Phoebe Rose Zielonka (2026)

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Preservice Teachers’ Noticing of Students’ Quantitative and Covariational Reasoning in Dynamic Mathematical Situations, Alfred M. Limbere, Joseph DiNapoli, and Steven Greenstein (2026)

Submissions from 2025

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On the Number of Monochromatic Cliques in a Graph, Deepak Bal, Jonathan Cutler, and Luke Pebody (2025)

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Developing Middle School Students’ Systems Thinking in Earth Science Through Dynamic Simulations: The Case of the Rock Cycle, Nicole Panorkou, Amanda Provost, and Gabriella Migliore (2025)

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Perspectives on Mathematical Modeling Education: Conceptions and Research, Geena Taite and Joseph DiNapoli (2025)

Submissions from 2024

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Full degree spanning trees in random regular graphs, Sarah Acquaviva and Deepak Bal (2024)

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Large monochromatic components in expansive hypergraphs, Deepak Bal and Louis DeBiasio (2024)

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Large monochromatic components in hypergraphs with large minimum codegree, Deepak Bal and Louis DeBiasio (2024)

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A lower bound on the multicolor size-Ramsey numbers of paths in hypergraphs, Deepak Bal, Louis DeBiasio, and Allan Lo (2024)

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Rainbow spanning trees in randomly colored gk-out, Deepak Bal, Alan Frieze, and Paweł Prałat (2024)

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Investigating the Relationship Between Mathematics Instructional Time and Perseverance Growth with Elementary Pre-Service Teachers, Joseph DiNapoli (2024)

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Prospective math teachers’ vision of high-quality mathematics instruction with technology: A focus on role of the teacher, Allison W. McCulloch, Lara K. Dick, Nina G. Bailey, Jennifer N. Lovett, Joshua Wilson, and Purity Muthitu (2024)

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A Model for International Summer Research Experiences for STEM Students, Mika Munakata, Su San Lim, and Carlos A. Molina (2024)

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Teacher Growth Through Professional Development Centered on the Teaching for Robust Understanding Framework, Eileen Murray, Helene S. Leonard, and Victoria D. Bonaccorso (2024)

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Reasoning quantitatively about the lunar phases, Nicole Panorkou and Amanda Provost (2024)

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Students' Systems Thinking with the Water Cycle Simulation, Amanda Provost and Nicole Panorkou (2024)

Submissions from 2023

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The Matching Process and Independent Process in Random Regular Graphs and Hypergraphs, Deepak Bal and Patrick Bennett (2023)

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Interlace polynomials of 4n-snowflake graphs, Jyoti Champanerkar and Aihua Li (2023)

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Thermodynamics, organisms and behaviour, Benjamin De Bari, James Dixon, Dilip Kondepudi, and Ashwin Vaidya (2023)

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Distinguishing between Grit, Persistence, and Perseverance for Learning Mathematics with Understanding, Joseph DiNapoli (2023)

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Young students’ forms of reasoning about multiple quantities, Nicole Panorkou and Erell Germia (2023)

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Examining the “Messiness” of Transitions Between Related Artifacts, Nicole Panorkou, Toni York, and Erell Germia (2023)

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Orchestrating Students' Systems Thinking About the Rock Cycle, Amanda Provost, Toni York, Su San Lim, and Nicole Panorkou (2023)

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Distribution Properties and Applications of Consecutive Quadratic Residues, Xiao Wang and Ai Hua Li (2023)

Submissions from 2022

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New lower bounds on the size-Ramsey number of a path, Deepak Bal and Louis Debiasio (2022)

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Economic Stimulus and Financial Instability: Recent Case of the U.S. Household, Youngna Choi (2022)

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On the Thermodynamics of Self-Organization in Dissipative Systems: Reflections on the Unification of Physics and Biology, Bong Jae Chung, Benjamin De Bari, James Dixon, Dilip Kondepudi, Joseph Pateras, and Ashwin Vaidya (2022)

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Supersaturation for Subgraph Counts, Jonathan Cutler, Jd Nir, and A. J. Radcliffe (2022)

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A thermodynamic analysis of end-directed particle flocking in chemical systems, B. De Bari, J. Dixon, J. Pateras, J. Rusling, J. Satterwhite-Warden, and A. Vaidya (2022)

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Network Thermodynamics-Based Scalable Compartmental Model for Multi-Strain Epidemics, Joseph Pateras, Ashwin Vaidya, and Preetam Ghosh (2022)

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Instructional Perseverance in Early-Childhood Classrooms: Supporting Children’s Development of STEM Reasoning in a Social Justice Context, Jennifer Ward, Joseph DiNapoli, and Katie Monahan (2022)

Submissions from 2021

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Zero-forcing in random regular graphs, Deepak Bal, Patrick Bennett, Sean English, Calum Macrury, and Pawe̷l Pra̷lat (2021)

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Hamiltonian Berge cycles in random hypergraphs, Deepak Bal, Ross Berkowitz, Pat Devlin, and Mathias Schacht (2021)

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A note on a candy sharing game, Deepak Bal and Joseph DeGaetani (2021)

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On the size Ramsey number of all cycles versus a path, Deepak Bal and Ely Schudrich (2021)

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A network thermodynamic analysis of amyloid aggregation along competing pathways, P. Ghosh, J. Pateras, V. Rangachari, and A. Vaidya (2021)

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A network theory approach to curriculum design, John O’Meara and Ashwin Vaidya (2021)

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Integrating math and science content through covariational reasoning: the case of gravity, Nicole Panorkou and Erell Feb Germia (2021)

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

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Counting certain quadratic partitions of zero modulo a prime number, Wang Xiao and Aihua Li (2021)

Submissions from 2020

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A Ramsey property of random regular and k-out graphs, Michael Anastos and Deepak Bal (2020)

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The bipartite k2,2-free process and bipartite ramsey number b(2, t), Deepak Bal and Patrick Bennett (2020)

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Homomorphisms into loop-threshold graphs, Jonathan Cutler and Nicholas Kass (2020)

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A game-theoretic approach to deciphering the dynamics of amyloid-β aggregation along competing pathways, Preetam Ghosh, Pratip Rana, Vijayaraghavan Rangachari, Jhinuk Saha, Edward Steen, and Ashwin Vaidya (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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Dynamic measurement reasoning for area and volume, Nicole Panorkou (2020)

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Examining students’ quantitative reasoning in a virtual ecosystem simulation of the water cycle, Nicole Panorkou and Erell Germia (2020)

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Global fitting and parameter identifiability for amyloid-β aggregation with competing pathways, Pratip Rana, Priyankar Bose, Ashwin Vaidya, Vijay Rangachari, and Preetam Ghosh (2020)

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

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Superpixel Segmentation Based on Clustering by Finding Density Peaks, Zhi Long Zhang, Ai Hua Li, and Chu Wei Li (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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Creativity as an Emergent Property of Complex Educational System, Ceire Monahan, Mika Munakata, and Ashwin Vaidya (2019)

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

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)

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Exploring dynamic measurement for volume, Nicole Panorkou (2019)

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Designing tasks and 3D physical manipulatives to promote students’ covariational reasoning, Teo Paoletti, Steven Greenstein, Madhavi Vishnubhotla, and Mustafa Mohamed (2019)

Collaborative Professional Learning: Cultivating Science Teacher Leaders Through Vertical Communities of Practice, Kristen Trabona, Monica Taylor, Emily J. Klein, Mika Munakata, and Zareen Rahman (2019)

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Simulation Design and Development for Learning Seasons and Lunar Phases using HTML5 and JavaScript, Michelle Zhu, Sneha Gulati, and Nicole Panorkou (2019)

Submissions from 2018

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

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

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

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Modeling Amateur Radio Soundings of the Ionospheric Response to the 2017 Great American Eclipse, N. A. Frissell, J. D. Katz, S. W. Gunning, J. S. Vega, A. J. Gerrard, G. D. Earle, M. L. Moses, M. L. West, J. D. Huba, P. J. Erickson, E. S. Miller, R. B. Gerzoff, W. Liles, and H. W. Silver (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)

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

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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)

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

Professional Development for Teacher Leaders: Using Activity Theory to Understand the Complexities of Sustainable Change, Monica Taylor, Emily J. Klein, Mika Munakata, Kristen Trabona, Zareen Rahman, and Jason McManus (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)

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

Constructing an Inquiry Orientation from a Learning Theory Perspective: Democratizing Access Through Task Design, Catherine A. Buell, Steven Greenstein, and Zahava Wilstein (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)

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

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

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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)

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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)

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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

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

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

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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)

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

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

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Sources and characteristics of medium-scale traveling ionospheric disturbances observed by high-frequency radars in the North American sector, N. A. Frissell, J. B. H. Baker, J. M. Ruohoniemi, R. A. Greenwald, A. J. Gerrard, E. S. Miller, and M. L. West (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)