Both students and faculty members in Colgate’s Department of Mathematics engage in research at the forefront of the field. View recent publications by department faculty members as well as theses from students majoring in mathematics.
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Faculty Publications
This is a continuously updated list of the most recent publications from mathematics departmental faculty members.
- Joe P. Chen, Spectral decimation of the magnetic Laplacian on the Sierpinski gasket: Solving the Hofstadter-Sierpinski butterfly
With Ruoyu Guo
Communications in Mathematical Physics - Silvia Jiménez Bolaños, On the Dimension Reduction in Prestrained Elasticity
Advances in Mathematical Sciences: AWM Research Symposium - Rob Davis, Further combinatorics and applications of two-toned tilings
With Greg Simay
Fibonacci Quarterly - Will Cipolli, Economic inequality shapes the relationship between globalization and prejudice
With N. Caluori and J. Brown-Iannuzzi
Social Psychological and Personality Science - Aaron Robertson, Down the large rabbit hole
Rocky Mountain Journal of Mathematics - Jens Christensen, New Atomic Decompositions of Bergman Spaces on Bounded Symmetric Domains
With G. Ólafsson
Journal of Geometric Analysis - Joe P. Chen, Laplacian growth and sandpiles on the Sierpinski gasket: limit shape universality and exact solutions
With Jonah Kudler-Flam
Annales de l’Institut Henri Poincaré (D) Combinatorics, Physics and their Interactions - Aaron Robertson, Zero-sum analogues of van der Waerden's theorem on arithmetic progressions
Journal of Combinatorics - Joe P. Chen, Internal DLA on Sierpinski gasket graphs
With Wilfried Huss, Ecaterina Sava-Huss, and Alexander Teplyaev
in Analysis and Geometry on Graphs and Manifolds, M. Keller et al. (Eds.), London Mathematical Society Lecture Notes - Silvia Jiménez Bolaños, Relative bending energy for weakly prestrained shells
With Anna Zemlyanova
Rocky Mountain Journal of Mathematics - Joe P. Chen, Fractal AC circuits and propagating waves on fractals
With Eric Akkermans, Gerald Dunne, Luke G. Rogers, and Alexander Teplyaev
in Analysis, Probability, and Mathematical Physics on Fractals, P. Alonso-Ruiz et al. (Eds.)
- Dan Saracino, On criteria for rook equivalence of Ferrers boards
With J. Bloom
European Journal of Combinatorics - Rob Davis, Descents and des-Wilf equivalence of permutations avoiding certain non-classical patterns
With C. Bielawa, D. Greeson, and Q. Zhou
Involve - Jens Christensen, Coorbits for projective representations with an application to Bergman spaces
With A. Darweesh and G. Olafsson
Monatshefte für Mathematik - Will Cipolli, We are all Broncos: Hockey, tragedy, and the formation of Canadian identity
With L. Kennedy, D. silva, and M. Coelho
Sociology of Sport Journal - Rob Davis, A polyhedral proof of a wreath product identity
With B. Sagan
Journal of Combinatorics - Will Cipolli, Racial biases in officers’ decisions to frisk are amplified for Black people stopped among groups leading to similar biases in searches, arrests, and use of force
With E. Cooley, N. Hester, L. Rivera, K. Abrams, J. Pagan, S. Sommers, and K. Payne
Social Psychological and Personality Science - Rob Davis, A product formula for the normalized volume of free sums of lattice polytopes
With T. Chen
Advances in Algebra: Proceedings of the Southern Regional Algebra Conference 2017 - Will Cipolli, Complex intersections of race and class: Among social liberals, learning about White Privilege reduces sympathy, increases blame, and decreases external
attributions for White people struggling with poverty
With E. Cooley, J. Brown-Iannuzzi, and R. Lei
Journal of Experimental Psychology: General
- Tom Tucker, Partial duality for ribbon graphs: Distributions
With J. Gross and T. Mansour
European Journal of Combinatorics - Tom Tucker, The distinguishing index of maps
With M. Pilsniak
European Journal of Combinatorics - Tom Tucker, Distinguishing graphs with maximum valence 3
With W. Imrich, S. Huning, J. Kloas, and H. Schreiber
Electronic Journal of Combinatorics - Tom Tucker, Finite groups acting on all but finitely many closed surfaces: Kulkarni revisited
Acta Mathematica Universitatis Comeniana
- Aaron Robertson, The Determination of 2-Color Zero-Sum Generalized Schur Numbers
With B. Roy and S. Sarkar
Integers - Aaron Robertson, Zero-Sum Generalized Schur Numbers
Journal of Combinatorics and Number Theory - Jens Christensen, Atomic decompositions of mixed norm Bergman spaces on tube type domains
Contemporary Mathematics - Joe P. Chen, From non-symmetric particle systems to non-linear PDEs on fractals
With M. Hinz and A. Teplyaev
Stochastic Partial Differential Equations and Related Fields - Ahmet Ay, Noise in the Vertebrate Segmentation Clock Is Boosted by Time Delays but Tamed by Notch Signaling
With S. Keskin, G. Devakanmalai, S. Kwon, H. Vu, Q. Hong, Y. Lee, M. Soltani, A. Singh, and E. Özbudak
Cell Reports - Dan Saracino, Rook and Wilf equivalence of integer partitions
With J. Bloom
European Journal of Combinatorics - Will Cipolli, Cellular metabolism and oxidative stress as a possible determinant for longevity in small breed and large breed dogs
With A. Jimenez, J. Winward, and U. Beattle
PLoS ONE - Joe P. Chen, Regularized Laplacian determinants of self-similar fractals
With A. Teplyaev and K. Tsougkas
Letters in Mathematical Physics - Gunog Seo, Sensitivity of the dynamics of the general Rosenzweig–MacArthur model to the mathematical form of the functional response: a bifurcation theory approach
With G. Wolkowicz
Journal of Mathematical Biology - Gunog Seo, Bifurcations and global dynamics in a toxin-dependent aquatic population model
With Q. Huang and C. Shan
Mathematical Biosciences - Ahmet Ay, Modeling Strengthens Molecular Link between Circadian Polymorphisms and Major Mood Disorders
With A. Liberman, L. Halitjaha, and K. Ingram
Journal of Biological Rhythms - Will Cipolli, A copula approach for testing independence between Poisson distributed variables
With R. Bower, J. Hussey, J. Zhang, J. Quattro, and J. Hardin
Communications in Statistics: Case Studies, Data Analysis, and Applications - Tom Tucker, Calculating genus polynomials with string operations and matrices
With J. Gross, I. Khan, and T. Mansour
Ars Mathematica Contemporanea - Tom Tucker, Graphical Frobenius representations
With K. Doyle and M. Watkins
Journal of Algebraic Combinatorics
- Will Cipolli, The paradox of group mind: 'People in a group' have more mind than 'a group of people'
With E. Cooley, B. Payne, C. Cameron, A. Berger, and K. Gray
Journal of Experimental Psychology: General - Evelyn Hart, The equivalence of two methods: finding representatives of non-empty Nielsen classes
With H. Vu
Bulletin of the Belgian Mathematical Society-Simon Stevin - Joe P. Chen, The moving particle lemma for the exclusion process on a weighted graph
Electronic Communications in Probability - Ahmet Ay, Construction of signaling pathways with RNAi data and multiple reference networks
With M. Alim, M. Hasan, M. Thai, and T. Kahveci
IEEE/ACM Transactions on Computational Biology and Bioinformatics - Joe P. Chen, Wave Equation on One-Dimensional Fractals with Spectral Decimation and the Complex Dynamics of Polynomials
With U. Andrews, G. Bonik, R. Martin, and A. Teplyaev
Journal of Fourier Analysis and Applications - Will Cipolli, In search of a five-star: The centrality of body discourses in the scouting of high school football players
With D. Silva and R. Bower
Sociology of Sport Journal - Ahmet Ay, Shifts in bird migration timing in North American long-distance and short-distance migrants are associated with climate change
With J. Zaifman, D. Shan, and A. Jimenez
International Journal of Zoology - Joe P. Chen, Stabilization by noise of a ℂ2-valued coupled system
With L. Ford, D. Kielty, R. Majumdar, H. McCain, D. O'Connell, and F. Shum
Stochastics & Dynamics - Jens Christensen, New atomic decompositions for Bergman spaces on the unit ball
With K. Grochenig and G. Olafsson
Indiana University Mathematics Journal - Ahmet Ay, Circadian clock model supports molecular link between PER3 and human anxiety
With A. Liberman, S. Kwon, H. Vu, A. Filipowicz, and K. Ingram
Nature Scientific Reports - Silvia Jiménez Bolaños, Derivation of the Navier slip and slip length for viscous flows over a rough boundary
With B. Vernescu
Physics of Fluids - Ahmet Ay, Differential DNA level regulation by alternatively designed molecular mechanisms: A mathematical modeling approach
With N. Yildirim, M. Aktas, S. Ozcan, and E. Akbas
In Silico Biology - Jens Christensen, Surjectivity of mean value operators on noncompact symmetric spaces
With F. Gonzalez and T. Kakehi
Journal of Functional Analysis - Ahmet Ay, WORMSPREAD: An Individual-based Model of Invasive Earthworm Population Dynamics
With G. Armstrong, A. Mahmood, A. Nugent, S. Dexter, E. Hutto, and T. McCay
Computational Ecology and Software - Dan Schult, Synchronization dynamics on the picosecond timescale in coupled Josephson junction neurons
With K. Segall, M. LeGro, S. Kaplan, O. Svitelskiy, S. Khadka, P. Crotty
Physical Review E - Tom Tucker, Bipartite polyhedral maps on closed surfaces are 3-distinguishable with few exceptions
With S. Negami
Graphs and Combinatorics - Tom Tucker, Valence partitioned genus polynomials and their application to generalized dipoles
With J. Gross and T. Mansour
Australasian Journal of Combinatorics - Tom Tucker, Distinguishing Cartesian products of countable graphs
With E. Estaji, W. Imrich, R. Kalinowski, and M. Pilsniak
Discussiones Mathematicae Graph Theory
- Dan Saracino, The 2-color Rado number of x1 + x2+ · · · + xn = y1 + y2 + · · · + yk
Ars Combinatoria - Ahmet Ay, Molecular basis for chronotype and time-of-day effects on decision-making
With K. Ingram, S. Kwon, K. Woods, S. Escobar, M. Gordon, I. Smith, I. Bearden, A. Filipowicz, and K. Jain
Nature Scientific Reports - Will Cipolli, Computationally tractable approximate and smoothed Polya trees
With T. Hanson
Statistics and Computing - Dan Saracino, Pattern avoidance for set partitions à la Klazar
With Jonathan Bloom
Discrete Mathematics and Theoretical Computer Science - Evelyn Hart, Algorithms for Nielsen type periodic numbers of maps with remnant on surfaces with boundary and on bouquets of circles II
With P. Heath and E. Keppelmann
Fundamenta Mathematicae - Will Cipolli, Bayesian nonparametric multiple testing
With T. Hanson and A. McLain
Computational Statistics and Data Analysis - Ahmet Ay, Mutant screen report: microarray analysis of gene expression in S. cerevisiae kap108delta mutants upon addition of oxidative stress
With K. Belanger, N. Larson, J. Kahn, and D. Tkachev
G3: Genes | Genomes | Genetics - Joe P. Chen, Singularly continuous spectrum of a self-similar Laplacian on the half-line
With A. Teplyaev
Journal of Mathematical Physics - Dan Saracino, Proofs and generalizations of a homomesy conjecture of J. Propp and T. Roby
With J. Bloom and O. Pechenik
Discrete Mathematics - Aaron Robertson, A probabilistic threshold for monochromatic arithmetic progressions
Journal of Combinatorial Theory Series A - Jens Christensen, Sampling in Euclidean and non-Euclidean domains: a unified approach
Chapter in Sampling Theory, a Renaissance (Birkhauser) - Ahmet Ay, Identifying the topology of signaling networks from partial RNAi data
With R. Yuanfang, Q. Wang, M. Hasan, and T. Kahveci
BMC Systems Biology - Will Cipolli, A comparison of three diagnostic tests for diagnosis of carpal tunnel syndrome using latent class analysis
With J. Fowler and T. Hanson
Journal of Bone and Joint Surgery - Aaron Robertson, Intermingled ascending wave m-sets
With C. Cremin, W. Daniel, and Q. Xiang
Discrete Mathematics - Tom Tucker, Iterated claws Have real-rooted genus polynomials
With J. Gross, T. Mansour, and D. Wang
Ars Mathematica Contemporanea - Tom Tucker, Root geometry of polynomial sequences II: Type (1,0)
With J. Gross, T. Mansour, and D. Wang
Journal of Mathematical Analysis and Applications - Tom Tucker, Cyclic complements and skew morphisms of groups
With M. Conder and R. Jajcay
Journal of Algebra - Tom Tucker, Euclidean symmetry of closed surfaces immersed in 3-space
With U. Leopold
Topology and Its Applications - Tom Tucker, Combinatorial conjectures that imply log-concavity of graph genus polynomials
With J. Gross, T. Mansour, and D. Wang
European Journal of Combinatorics - Tom Tucker, Root geometry of polynomial sequences I: type (0,1)
With J. Gross, T. Mansour, and D. Wang
Journal of Mathematical Analysis and Applications
- Silvia Jiménez Bolaños, Nonlinear neutral inclusions: assemblages of coated ellipsoids
With B. Vernescu
Royal Society Open Science - Ahmet Ay, Hierarchical decomposition of dynamically evolving regulatory networks
With D. Gong and T. Kahveci
BMC Bioinformatics - Ahmet Ay, Genome-wide errant targeting by Hairy
With K. Kok, L. Li, and D. Arnosti
eLife - Joe P. Chen, Spectral dimension and Bohr's formula for Schrodinger operators on unbounded fractal spaces
With S. Molchanov and A. Teplyaev
Journal of Physics A: Mathematical and Theoretical - Ahmet Ay, Construction of signaling networks with incomplete RNAi data
With Q. Wang, Y. Ren, M. Hasan, and T. Kahveci
Bioinformatics and Biomedicine - Gunog Seo, Existence of multiple limit cycles in a predator–prey model with arctan(ax) as functional response
With G. Wolkowicz
Communications in Mathematical Analysis - Ahmet Ay, Multiple reference networks improve accuracy of signaling network construction
With M. Alim, M. Hasan, M. Thai, and T. Kahveci
Computational Biology and Health Informatics - Dan Saracino, The 2-color Rado number of x1+x2+· · ·+xm-1 = axm, II
Ars Combinatoria - Ahmet Ay, Diurnal preference predicts phase differences in expression of human peripheral circadian clock genes
With A. Ferrante, D. Gellerman, K. Woods, A. Filipowicz, K. Jain, N. Bearden, and K. Ingram
Journal of Circadian Rhythms - Joe P. Chen, Entropic repulsion of Gaussian free field on high-dimensional Sierpinski carpet graphs
With B. Ugurcan
Stochastic Processes and their Applications - Ahmet Ay, Mathematical modeling deciphers the benefits of alternatively-designed conserved activatory and inhibitory gene circuits
With N. Wilner and N. Yildirim
Molecular BioSystems - Tom Tucker, Log-concavity of the genus polynomials for Ringel ladders
With J. Gross and T. Mansour
Electronic Journal of Graph Theory and Its Applications - Tom Tucker, Log-concavity of combinations of sequences and applications to genus distributions
With J. Gross and T. Mansour
Siam Journal of Discrete Mathematics - Tom Tucker, Infinite motion and 2-distinguishability of graphs and groups
With W. Imrich, S. Smith, and M. Watkins
Journal of Algebraic Combinatorics
- Dan Saracino, A simple bijective proof of the shape-Wilf-equivalence of the patterns 231 and 312
With J. Bloom
Journal of Combinatorial Mathematics and Combinatorial Computing - Ahmet Ay, Dynamics matter: differences and similarities between alternatively designed regulatory mechanisms
With N. Yildirim
Molecular BioSystems - Dan Saracino, The 2-color Rado number of x1+x2+· · ·+xm-1 = axm
Ars Combinatoria - Aaron Robertson, Ramsey Theory on the Integers, Second edition
With B. Landman
American Mathematical Society - Ahmet Ay, Spatial gradients of protein-level time delays set the pace of the traveling segmentation clock waves
With J. Holland, A. Sperlea, G. Devakanmalai, S. Knierer, S. Sangervasi, A. Stevenson, and E. Ozbudak
Development - Dan Schult, Phase-flip bifurcation in a coupled Josephson junction neuron system
With K. Segall, S. Guo, P. Crotty, and M. Miller
Physica B: Condensed Matter - Gunog Seo, Spatial dynamics of an age-structured population model of Asian Clams
With J. Fang, K. Lan, and J. Wu
SIAM Journal on Applied Mathematics - Jens Christensen, Multi-window Gabor frames in amalgam spaces
With R. Balan, I. Krishtal, K. Okoudjou, and J. Romero
Mathematical Research Letters - Ahmet Ay, Network-based prediction of cancer under genetic storm
With D. Gong and T. Kahveci
Cancer Inform - Joe P. Chen, Periodic billiard orbits of self-similar Sierpinski carpets
With R. Niemeyer
Journal of Mathematical Analysis and Applications - Tom Tucker, Log-concavity of genus distributions for ring-like families of graphs
With J. Gross and T. Mansour
European Journal of Combinatorics - Tom Tucker, Log-concavity of the genus polynomials for a sequence of cubic Halin graphs
With J. Gross and T. Mansour
Journal of Combinatorics - Tom Tucker, On the maximum number of independent elements in configurations of points and lines
With T. Pisanski
Discrete Computational Geometry - Tom Tucker, Two notes on surface symmetry
in Rigidity and Symmetry, editors: R. Connelly, A. Weiss, and W. Whiteley
Fields Institute Communications, Springer - Tom Tucker, Regular Cayley maps for cyclic groups
With M. Conder
Transactions of the American Mathematical Society - Tom Tucker, Representativity for Cayley maps
With C. Stevens and X. Zha
European Journal of Combinatorics
Student Publications
Undergraduate research assistants at Colgate are often granted coauthor credits on the publications resulting from their research. See below for a sample of recent publications with undergraduate coauthors. Students are marked in bold.
- On the distribution of monochromatic complete subgraphs and arithmetic progression
Aaron Robertson, William Cipolli, and Maria Dascalu
Experimental Mathematics, 2021
- Spectral decimation of the magnetic Laplacian on the Sierpinski gasket: Solving the Hofstadter-Sierpinski butterfly, Joe P. Chen and Ruoyu Guo
Communications in Mathematical Physics, 2020 - Laplacian growth and sandpiles on the Sierpinski gasket: limit shape universality and exact solutions, Joe P. Chen and Jonah Kudler-Flam
Annales de l’Institut Henri Poincaré (D) Combinatorics, Physics and their Interactions, 2020 - Noise in the Vertebrate Segmentation Clock Is Boosted by Time Delays but Tamed by Notch Signaling
S. Keskin, G. S. Devakanmalai, Son Bin Kwon, Ha Vu, Q. Hong, Q., …, Ahmet Ay and E. M. Özbudak, E. M.
Cell Reports, 2018 - Modeling Strengthens Molecular Link between Circadian Polymorphisms and Major Mood Disorders
Amanda Liberman, Lumi Halitjaha, Ahmet Ay, and K. K. Ingram
Journal of Biological Rhythms, 2018 - Synchronization dynamics on the picosecond time scale in coupled Josephson junction neurons
K. Segall, M. LeGro, S. Kaplan, O. Svitelskiy, S. Khadka, P. Crotty, and D. Schult,
Physical Review E, 2017 - Circadian clock model supports molecular link between PER3 and human anxiety
Amanda Liberman, Son Bin Kwon, Ha Vu, A. Filipowicz, Ahmet Ay, and K. K. Ingram
Scientific Reports, 2017 - WORMSPREAD: an individual-based model of invasive earthworm population dynamics.
George Armstrong, Ahsan Mahmood, A. Nugent, A. Dexter, E. Hutto, T.S. McCay, and Ahmet Ay
Computational Ecology and Software, 2017 - Shifts in bird migration timing in North American long-distance and short-distance migrants are associated with climate change.
Jay Zaifman, Daoyang Shan, Ahmet Ay, and A. Jimenez
International Journal of Zoology, 2017 - The equivalence of two methods: finding representatives of non--empty Nielsen classes
Evelyn Hart and Ha Vu
Bulletin of the Belgian Mathematical Society-Simon Stevin, 2017 - Molecular insights into chronotype and time-of-day effects on decision-making
K. K. Ingram, Ahmet Ay, Son Bin Kwon, K. Woods, et al
Scientific Reports, 2016 - Mutant Screen Report: Microarray Analysis of Gene Expression in S. cerevisiae kap108Δ Mutants Upon Addition of Oxidative Stress
K. D. Belanger, Nate Larson, Jonathan Kahn, D. Tkachev, and Ahmet Ay
G3: Genes, Genomes, Genetics, 2016 - Intermingled ascending wave m-sets
Aaron Robertson, Caitlin Cremin, Will Daniel, and Quer Xiang
Discrete Mathematics, 2016 - Mathematical modeling deciphers the benefits of alternatively-designed conserved activatory and inhibitory gene circuits.
Ahmet Ay, Natalie Wilner, and N. Yildirim
Molecular BioSystems, 2015 - Spatial gradients of protein-level time delays set the pace of the traveling segmentation clock waves.
Ahmet Ay, Jack Holland, Adriana Sperlea, G. S. Devakanmalai, S. Knierer, S. Sangervasi, ... and E. M. Özbudak, E. M.
Development, 2014 - Phase-flip bifurcation in a coupled Josephson junction neuron system
Kenneth Segall, Siyang Guo, Patrick Crotty, Dan Schult, and Max Miller,
Physica B: Condensed Matter, 2014 - Short-lived Her proteins drive robust synchronized oscillations in the zebrafish segmentation clock
Ahmet Ay, S. Knierer, Adrian Sperlea, Jack Holland, and E. M. Özbudak
Development, 2013 - A primer on thermodynamic-based models for deciphering transcriptional regulatory logic.
J. M. Dresch, Megan Richards, and Ahmet Ay
Biochimica et Biophysica Acta (BBA)-Gene Regulatory Mechanisms, 2013
Student Theses
To be eligible for graduation with a major from the Department of Mathematics, each student must submit a thesis stemming from a semester in one of the department’s research seminars. Samples of recent thesis titles are listed below.
- Maximal Distance Sets in 2-dimensional Euclidean Space by Elżbieta Bołdyriew (Faculty Advisor: Aaron Robertson)
- An Application of Page Rank by Matt Chistolini (Faculty Advisor: Silvia Jimenez Bolanos)
- The Modernization of Search Engines and Social Network Influence by Samantha Gould (Faculty Advisor: Silvia Jimenez Bolanos)
- Exploring the GCD of the Entries of a Matrix and Corresponding Actions, Orbits, and Stabilizers in R3 by Amogh Gupta (Faculty Advisor: Rob Davis)
- Clusterings in Analyzing Top Female Tennis Ranking by Candice He (Faculty Advisor: Silvia Jimenez Bolanos)
- 1/3 - 2/3 Conjecture by Ruiting Hu (Faculty Advisor: Rob Davis)
- Word Recognition With a Neural Network by Noah Jackson (Faculty Advisor: Silvia Jimenez Bolanos)
- 3 x 3 Magic Squares and the Existence of Magic Triangles by Nicole Joyal (Faculty Advisor: Aaron Robertson)
- Distribution of the Average Shortest Path Length in Random Graphs by Jack Koefoed (Faculty Advisor: Aaron Robertson)
- Investigation of Standard Young Tableaux by Rishi Lohar (Faculty Advisor: Rob Davis)
- Multivariate Ehrhart Theory: Dilating Polytopes With Separate Variables by Sean Mandrick (Faculty Advisor: Rob Davis)
- Exploring Multiples of a Real Number by Sydney Maxson (Faculty Advisor: Aaron Robertson)
- Sums of Powers: Divisibility, Formulation, and a Matrix Method by Mohammad Omair (Faculty Advisor: Aaron Robertson)
- Genetic Algorithms for Cluster Analysis: A Comparison With K-means and Guassian Mixture Models by Delaney Scheiern (Faculty Advisor: Silvia Jimenez Bolanos)
- The m-distance Chromatic Number and Graph Colorings by Michael Shea (Faculty Advisor: Rob Davis)
- Tetration on Real Numbers by Xiyu (Cici) Wu (Faculty Advisor: Rob Davis)
- Compartmental Model for Covid-19 With Sojourn Time Cycle by Yang Ye (Faculty Advisor: Silvia Jimenez Bolanos)
- Knight's Tour on a Torus by Yuxuan Zhang (Faculty Advisor: Rob Davis)
- The Non-uniqueness of Entropy of Probability Distributions by Ethan Ackerman (Faculty Advisor: Aaron Robertson)
- Solving a Generalization of a Putnam Problem by Hannah Bailey (Faculty Advisor: Aaron Robertson)
- Modeling a Social Network for Music Recommendation by Jacob Berkofsky (Faculty Advisor: Dan Schult)
- Eigenvalues of a Path, Its Complement, and the Associated Adjacency Matrices by Julia Blackwell (Faculty Advisor: Aaron Robertson)
- Predicting Retweets on Twitter Via Linear Modeling by Lucy Bonin (Faculty Advisor: Dan Schult)
- Evaluating MLB Single Season Accolades via Batter vs. Pitcher Interactions by Robbie Chalker (Faculty Advisor: Dan Schult)
- SealNet: Harbor Seal Face Recognition by Ryan Dunham and Daniel Gathogo (Faculty Advisor: Ahmet Ay)
- Finding Derivatives Without the Use of Limits by Katherine Ellsworth (Faculty Advisor: Aaron Robertson)
- An Analysis of k-Path Centrality by TianShu Fan (Faculty Advisor: Dan Schult)
- The Propagation and Clustering of Laughter - An Agent-Based Model by Sarah Gans (Faculty Advisor: Dan Schult)
- Analyzing NBA Player Value Through Network Analysis by Matt Gentile (Faculty Advisor: Dan Schult)
- The Louvain Method of Community Detection: Implementation and Application by Yanjun Gong (Faculty Advisor: Dan Schult)
- Using Contour Integration for Infinite Sums by Kelly Goodwin (Faculty Advisor: Aaron Robertson)
- Constructing Derivative Rules for Positive Integers by Malachi Jones (Faculty Advisor: Aaron Robertson)
- The Louvain Method for Community Detection in Python by Yuanrun Li (Faculty Advisor: Dan Schult)
- Using Markov Chains to Imitate Authors' Styles by Kayla Logar (Faculty Advisor: Aaron Robertson)
- The Score Test for Independence of Zero-Inflated Bivariate Poisson Variables by Megan Maloney (Faculty Advisor: Dan Schult)
- Optimizing the Determination of a Rectangle's Coordinates by Philip Matos (Faculty Advisor: Aaron Robertson)
- Modeling the Circadian Clock to Display Link Between SNPs and Seasonal Affective Disorder by Meghan Minturn (Faculty Advisor: Ahmet Ay)
- Finding Solutions to Initial Conditions of a 5 x 5 Gameboard With Tiles Linked by Adjacency by Tyler Nelson (Faculty Advisor: Aaron Robertson)
- Graph and SubGraph Isomorphism Checking - VF2++ by Alexandra Newlon (Faculty Advisor: Dan Schult)
- Exploring a Set of Matrices by Brooke Perisho (Faculty Advisor: Aaron Robertson)
- A Support Vector Machine (SVM) Model for Predicting Mood Disorders with Improved Accuracy and Uncovering Epistatic Interactions by Arda Berk Sagir (joint with Connor Madalo) (Faculty Advisor: Ahmet Ay)
- Exploring the Impacts of More Complex Reactions on Smoldering Combustion by Carly Schwartz (Faculty Advisor: Dan Schult)
- WORMMIGRATE: Invasive earthworm population dynamics and migration modeled using MATLAB and Leslie Matrices by Jordan Tockstein (joint with Kelly Goodwin) (Faculty Advisor: Ahmet Ay)
- Network Analysis on the 4,000-foot Mountains in the Adirondack State Park and White Mountain National Forest by Cortland Troutman (Faculty Advisor: Dan Schult)
- Dynamics of Non-adiabatic Smolder Waves near Extinction by Casey White (Faculty Advisor: Dan Schult)
- Distribution of Minimum Path Lengths by Patrick Beljan (Faculty Advisor: Aaron Robertson)
- Hierarchical Linear Modeling of Hitters in Baseball by Jake Bensky (Faculty Adviser: Dan Schult)
- Computerized Proofs of Hypergeometric Identities by Nicole Brower (Faculty Advisor: Aaron Robertson)
- The Black-Scholes Option Pricing Model with Time-dependent Volatility and Stochastic Risk-free Rate by Darren Chen (Faculty Adviser: Dan Schult)
- Transition from Smoldering to Flaming by Sheng Chen (Faculty Adviser: Dan Schult)
- Exploring Equi-Colored Arithmetic Progressions on Equi-Colored Two-Colorings by Jackson French (Faculty Advisor: Aaron Robertson)
- Spectral Decimation of the Magnetic Laplacian on the Sierpinski Gasket by Ruoyu (Tony) Guo (Faculty Advisor: Joe Chen)
- A Non-trivial Lower Bound for a Van der Waerden-like Function by Lumbardh Halitjaha (Faculty Advisor: Aaron Robertson)
- Computational Modeling of Combustion Reactions by Mingrui Hong (Faculty Adviser: Dan Schult)
- Mathematics and Music by Carter Hunt (Faculty Adviser: Dan Schult)
- Investigating Feynman's Integration Technique by Sang Kyung (Kathy) Lee (Faculty Advisor: Aaron Robertson)
- Fingering in Flames by Liam Moran (Faculty Adviser: Dan Schult)
- Determining Knight-distance Between Squares on an n x n Chessboard by Ruchit Shrestha (Faculty Advisor: Aaron Robertson)
- Discrete Dynamical System Modeling to Solve a Card Trick by Maddie Srivastava (Faculty Advisor: Aaron Robertson)
- Fast Inverse Square Root Algorithm by Serena Sutaria (Faculty Advisor: Aaron Robertson)
- Lattice Points on the Surface of n-Spheres for Small n by Ruiyun Tang (Faculty Advisor: Aaron Robertson)
- Mathematical Model of Tumor Growth and Treatment by Caroline Zaworski (Faculty Adviser: Dan Schult)
- Monte Carlo and Quasi-Monte Carlo Integration by Saiyang Zhang (Faculty Advisor: Aaron Robertson)
- Emulating Neuron Synapses in the Brain by William J. Boyd (Faculty Adviser: Daniel Schult)
- Modeling The Influenza Virus on Colgate University’s Campus by Thomas Fretz (Faculty Adviser: Daniel Schult)
- Bursting Patterns of Josephson Junction Neurons by Ruiyan Tang (Faculty Adviser: Daniel Schult)
- Josephson Junction Modeling of Neuron Bursting Behavior by Noah Campbell (Faculty Adviser: Daniel Schult)
- Using a Small-World Network to Investigate Convergence Patterns in a Mimura-Murray System by Maria Cesarini (Faculty Adviser: Daniel Schult)
- Modeling Language Differentiation Over Social Networks by Jice Kunfeng Zheng (Faculty Adviser: Daniel Schult)
- STEM persistence in college - An agent-based model by Julie Nguyen (Faculty Adviser: Daniel Schult)
- Network Analysis of Persistence of Women in STEM by Emmie McCaffery (Faculty Adviser: Daniel Schult)
- Impacts of extracellular potassium and intracellular chloride concentration on epileptic neuronal activity by Alexandra Krez (Faculty Adviser: Daniel Schult)
- A Tool for the Visualization of Data Mining Through Coupled Oscillators by Armando Belardo (Faculty Adviser: Daniel Schult)
- Voronoi Modeling of Tissue Structure and Cell Regeneration: Perimeter Approach by Maria Chen, Emily Derozier, and Alexandre Lauretti (Faculty Adviser: Silvia Jimenez Bolanos)
- Voronoi Modeling of Tissue Structure and Cell Regeneration: Area Approach by Katie Bushee, Adib Chowdhury, and Emily Gu (Faculty Adviser: Silvia Jimenez Bolanos)
- Machine Learning: Automated scoring system for short answer responses by Saw Lin (Faculty Advisers: Silvia Jimenez Bolanos and Will Cipolli)
- Cancer Classification with Probabilistic Networks by Ahsan Mahmood and Boris Shou (Faculty Adviser: Ahmet Ay)
- Pan Cancer Analysis of Ectopic Germline Gene Expression by Ben Harris (Faculty Adviser: Ahmet Ay)
- GPU Acceleration in Large Computational Models by Carlton Yang (Faculty Adviser: Ahmet Ay)
- Shifts in Bird Migration Timing in North American Long-Distance and Short-Distance Migrants Are Associated with Climate Change by Jay Zaifman and Daoyang Shan (Faculty Adviser: Ahmet Ay)
- Modeling Strengthens Molecular Link between Circadian Polymorphisms and Major Mood Disorders by Amanda Liberman (Faculty Adviser: Ahmet Ay)
- Regulatory network of the scoliosis-associated genes establishes rostrocaudal patterning of somites in zebrafish by Ha Vu (Faculty Adviser: Ahmet Ay)
- An Investigation of the Abundancy Index of Ten by Adam Buys (Faculty Advisor: Aaron Robertson)
- Finding a Class of 4x4 Matrices on which the Rule of Sarrus can be Applied by Jordan Chervin (Faculty Advisor: Aaron Robertson)
- Elliptic Curve Cryptography by Robert Galante (Faculty Advisor: Aaron Robertson)
- Analysis of a Puck Puzzle by Kil Hyun Kim (Faculty Advisor: Aaron Robertson)
- Van der Waerden’s Theorem on Sequences With Interchanging Gap Sizes by Daoyang Shan (Faculty Advisor: Aaron Robertson)
- Change-Making Problems In The World of Even Value by Limin Tang (Faculty Advisor: Aaron Robertson)
- Schur’s Theorem Over Finite Fields by Caroline Wardlow (Faculty Advisor: Aaron Robertson)
- Algorithmic Solution to Rado’s Columns Condition by Dylan Giustra (Faculty Advisor: Aaron Robertson)
- Some New Difference Ramsey Numbers by Jiayang Li (Faculty Advisor: Aaron Robertson)
- A Classification of Exponents that Form Triangles by Dan Pucci (Faculty Advisor: Aaron Robertson)
- On the Non-Uniqueness of Entropy by Skylar Weber (Faculty Advisor: Aaron Robertson)
- Looking at Discrete Derivatives for Monomials by Ames Tardio (Faculty Advisor: Aaron Robertson)