Both students and faculty members in 冈本视频鈥檚 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.
- Ahmet Ay, Risk for seasonal affective disorder (SAD) Linked to circadian clock gene variants
With T. Dang, W. Russel, T. Saad, L. Dhawka, and K. Ingram
Biology - Ahmet Ay, Machine learning analyses reveal circadian clock features predictive of anxiety among UK biobank participants
With C. Ventresca, W. Mohamed, W. Russel, and K. Ingram
Nature Scientific Reports - Ahmet Ay, Feature selection and association rule learning identify risk factors of malnutrition among Ethiopian schoolchildren
With W. Russell, J. Perry, C. Bonzani, A. Dontino, and B. Taye
Frontiers in Epidemiology - Ahmet Ay, Machine learning and network analysis of the gut microbiome from patients with schizophrenia and non-psychiatric subject controls reveal behavioral risk factors and bacterial interactions
With D. Wang, W. Russel, Y. Sun, and K. Belanger
Schizophrenia Research - Jens Christensen, Uncertainty principles and differential operators on the weighted Bergman space
With C. Deng
Complex Analysis and Operator Theory - Will Cipolli, Cellular metabolic pathways of aging in dogs: could p53 and SIRT1 be at play?
With A.G. Jim茅nez, K.D. Paul, M. Benson, and S. Lalwani,
GeroScience - Will Cipolli, Racialized sexism: Nonverbal displays of power in workplace settings are evaluated as more masculine when displayed by white (vs. black) women with implications for the expression of ambivalent sexism
With Q.A.N. Tran, E. Cooley, J.A. Lisnek, and J.L. Brown-Iannuzzi
Personality and Social Psychology Bulletin - Will Cipolli, Fracking Twitter: Utilizing machine learning and natural language processing tools for identifying coalition and causal narratives With A. Pattison, J. Marichal, and C. Cherniakov
Politics & Policy - Will Cipolli, Repurposing a peer-reviewed publication to engage students in statistics: An illustration of study design, data collection, and analysis
With C. Evans, Z.A. Draper, and J.T. Binfet
Journal of Statistics and Data Science Education - Will Cipolli, Groups amplify the perceived threat and justification for using force against black people protesting for racial equality鈥攅specially among social conservatives
With E. Cooley, J.L. Brown-Iannuzzi, B.K. Payne, and J. Steele
Group Processes & Intergroup Relations - Kelly Isham, Is the number of subrings in Zn of index pe a polynomial in p?
Communications in Algebra - Kelly Isham, In-network Allreduce with multiple spanning trees on PolarFly
With Kartik Lakhotia, Laura Monroe, Maciej Besta, Torsten Hoefler, and Fabrizio Petrini
Proceedings of the 35th ACM Symposium on Parallelism in Algorithms and Architectures (SPAA 鈥23) - Silvia Jim茅nez-Bola帽os, Homogenization of a non-linear strongly coupled model of magnetorheological fluids
With T. Dang, Y. Gorb
SIAM Journal on Mathematical Analysis - Silvia Jim茅nez-Bola帽os, Homogenization for a variational problem with a slip interface condition With Y. Ou SIAM Journal on Applied Mathematics
- Zichen Ma Genome-wide search algorithms for identifying dynamic gene co-expression via Bayesian variable selection
With W. Zhang, L. Wang, J. Fan, and Y.-Y. Ho
Statistics in Medicine - Zichen Ma Bayesian variable selection for linear regression with the k-G priors
With E.P. Fokoue
Mathematics for Applications - Nicholas Moore, Generalization of waving-plate theory to multiple interacting swimmers
With P.J. Baddoo, A.U. Oza, D.G. Crowdy,
Communications on Pure and Applied Mathematics - Nicholas Moore, Parameter estimation for the truncated KdV model through a direct filter method
With Hui Su, Feng Bao
Journal of Machine Learning for Modeling and Computing - Nicholas Moore, Stokes flow solutions in infinite and semi-infinite porous channels
With Francesca Bernardi, Shankararaman Chellam, N.G. Cogan
Studies in Applied Mathematics - Nicholas Moore, How fluid-mechanical erosion creates anisotropic porous media
With Jake Cherry, Shang-Huan Chiu, Bryan D. Quaife
Physica D - Nicholas Moore, On normal and non-normal wave statistics implied by a canonical鈥搈icrocanonical Gibbs ensemble of the truncated KdV system
With H. Sun
Journal of Statistical Physics - Aaron Robertson, Ramsey properties for integer sequences with restricted gaps
With B. Landman and Q. Robertson
Moscow J. of Combinatorics and Number Theory - Aaron Robertson, Arithmetic progressions, quasi progressions, and Gallai-Ramsey colorings
with Y. Mao, K. Ozeki, and Z. Wang
J. Combinatorial Theory, Series A - Aaron Robertson, Monochromatic strictly ascending waves and permutation pattern waves
with B. Landman
Adv. in Applied Math - Dan Schult, A Superconducting synapse exhibiting spike-timing dependent plasticity
With Ken Segall, Cheranjeev Purmessur, Anthony D鈥橝ddario
Applied Physics Letters - Dan Schult, Biologically realistic behaviors from a superconducting neuron model
With Patrick Crotty, Ken Segall
IEEE Transactions on Applied Superconductivity
- Ahmet Ay, Gene copy number and negative feedback differentially regulate transcriptional variability of segmentation clock genes.
With O. Q. Zinani, K. Kesero臒lu, S. Dey, A. Singh, and E. M. 脰zbudak
iScience - Will Cipolli, 鈥楨ssential for the soul鈥?: leisure as a flashpoint during COVID-19 lockdowns in Ontario, Canada.
With M. Norman, D. Silva, and L. Kennedy
Annals of Leisure Research - Will Cipolli, Race, Ambivalent Sexism, and Perceptions of Situations When Police Shoot Black Women.
With J.L. Brown-Iannuzzi, E. Cooley, and S. Mehta
Social Psychological and Personality Science - Will Cipolli, Beliefs That White People Are Poor, Above and Beyond Beliefs That Black People Are Poor, Predict White (But Not Black) Americans鈥 Attitudes Toward Welfare Recipients and Policy.
With E. Cooley, J. L. Brown-Iannuzzi, R. F. Lei, and L. E. Philbrook
Personality and Social Psychology Bulletin - Robert Davis, Facets and facet subgraphs of adjacency polytopes.
With Tianran Chen and Evgeniia Korchevskaia
Discrete Applied Mathematics - Robert Davis, State Polytopes Related to Two Classes of Combinatorial Neural Codes.
Advances in Applied Mathematics - Robert Davis, A toric deformation method for solving Kuramoto equations.
With Tianran Chen
Nonlinear Dynamics - Robert Davis, Computing Volumes of Adjacency Polytopes via Draconian Sequences.
With Tianran Chen
The Electronic Journal of Combinatorics - Kelly Isham, An algorithm for counting arcs in higher-dimensional projective space.
Finite Fields and Their Applications - Kelly Isham, PolarFly: A Cost-Effective and Flexible Low-Diameter Topology.
With K. Lakhotia, M. Besta, L. Monroe, P. Iff, T. Hoefler, F. Petrini
International Conference for High Performance Computing, Networking, Storage and Analysis (Supercomputing '22) - Silvia Jim茅nez-Bola帽os, Bloch waves in high contrast electromagnetic crystals
With R. Lipton, R. Viator, and A. Adili
ESAIM: M2AN, 2022 - Silvia Jim茅nez-Bola帽os, Global Gradient Estimate for a Divergence Problem and Its Application to the Homogenization of a Magnetic Suspension
With T. Dang and Y. Gorb
Research in Mathematics of Materials Science. Association for Women in Mathematics Series, 2022 - Zichen Ma, Flexible copula model for integrating correlated multi-omics data from single-cell experiments.
With S. W. Davis and Y.-Y. Ho
Biometrics - Zichen Ma, Effectiveness and protection duration of Covid-19 vaccines and previous infection against any SARS-CoV-2 infection in young adults.
With L. Rennert, C. McMahan, and D. Dean
Nature Communications - Zichen Ma, Covid-19 vaccine effectiveness against general SARS-CoV-2 infection from the omicron variant: A retrospective cohort study.
With L. Rennert, L., C. McMahan, and D. Dean
PLoS Global Public Health - Nicholas Moore, Morphological attractors in natural convective dissolution.
With J.M. Huang
Physical Review Letters - Nicholas Moore, Predicting convection configurations in coupled fluid鈥損orous systems.
With M. McCurdy and X. Wang
Journal of Fluid Mechanics - Nicholas Moore, On Normal and Non-Normal Wave Statistics Implied by a Canonical鈥揗icrocanonical Gibbs Ensemble of the Truncated KdV System.
With H. Sun
Journal of Statistical Physics - Nicholas Moore, How fluid-mechanical erosion creates anisotropic porous media.
With Jake Cherry, Shang-Huan Chiu, and Bryan D. Quaife
Physica D - Gabriel Sosa Castillo, MultiRees Algebras of Strongly Stable Ideals.
With Selvi Kara and Kuei-Nuan Lin
Collectanea Mathematica - Tom Tucker, Asymmetrizing cost and density for vertex-transitive cubic graphs
With W. Imrich, T. Lachman, and G. M. Wiegel
Art of Discrete and Applied Mathematics (ADAM) - Tom Tucker, The GFR problem and a theorem of Godsil
With M.D.E. Conder
Art of Discrete and Applied Mathematics (ADAM)
- Ahmet Ay, Pattern discovery in multilayer networks
With Y. Ren, A. Sarkar, P. Veltri, A. Dobra and T. Kahveci
IEEE/ACM Transactions on Computational Biology and Bioinformatics - Ahmet Ay, Pairing of segmentation clock genes drives robust pattern formation
With O. Q. Zinani, K. Kesero臒lu and E. M. 脰zbudak, E. M.
Nature - Aaron Robertson, Fundamentals of Ramsey Theory
CRC Press - Silvia Jim茅nez Bola帽os, Homogenization of Nondilute Suspension of Viscous Fluid with Magnetic Particles
With T. Dang and Y. Gorb
SIAM Journal on Applied Mathematics - Joe P. Chen, Higher order hydrodynamics and equilibrium fluctuations of interacting particle
With F. Sau
Markov Processes and Related Fields - Will Cipolli, The Instagram/Facebook ban on graphic self鈥恏arm imagery: A sentiment analysis and topic modeling approach
With H. Smith
Policy & Internet - Will Cipolli, Using Metacognitive Training with Kinesiology Students
With C. Davlin-Pater, L.S. Dunn, R. Bower, and S. Biddle
Journal of Occupational Therapy Education - Joe P. Chen, Asymptotic behavior of density in the boundary-driven exclusion process on the Sierpinski gasket
With P. Gon莽alves
Mathematical Physics, Analysis, and Geometry - Will Cipolli, The devil we know and the angel that did not fly: An examination of devil/angel shift in Twitter fracking 鈥渄ebates鈥 in NY 2008鈥2018
With A. Pattison and J. Marichal
Review of Policy Research - Jens Christensen, New Atomic Decompositions of Bergman Spaces on Bounded Symmetric Domains
With G. 脫lafsson鈥
Journal of Geometric Analysis - Will Cipolli, Cellular metabolism and IL-6 concentrations during stimulated inflammation in small and large dog breeds鈥 primary fibroblasts cells, as they age
With A. G. Jimenez, C. J. Downs, and S. Lalwani
Journal of Experimental Biology - Silvia Jim茅nez Bola帽os, Dimension reduction for thin films prestrained by shallow curvature
With M. Lewicka
Proceedings of the Royal Society A - Will Cipolli, Investigating the health consequences for White Americans who believe White Americans are wealthy
With E. Cooley, J. L. Brown-Iannuzzi, R. F. Lei, L. E. Philbrook, and S. E. McKee
Social Psychological and Personality Science - Will Cipolli, The policy implications of feeling relatively low versus high status within a privileged group
With E. Cooley, J. L. Brown-Iannuzzi, R. F. Lei, and L. E. Philbrook
Journal of Experimental Psychology: General - Tom Tucker, Groups acting with almost all signatures
With M. Carvacho, J. Paulus and A. Wootton
Journal of Pure and Applied Algebra - Tom Tucker, Enumerating graph embeddings and partial-duals by genus and euler genus
With J. Gross
Enumerative Combinatorics and Applications - Tom Tucker, Partial duality for ribbon graphs, II Partial-twuality polynomials, monodromy, and computations
With J. Gross and T. Mansour
European Journal Combinatorics - Tom Tucker, Partial duality for ribbon graphs, III a Gray code algorithm for enumeration
With J.L. Gross and T. Mansour
Journal of Algebraic Combinatorics - Tom Tucker, Orientation-reversing Euclidean symmetry of closed surfaces immersed in 3-space
With Undine Leopold
Polytopes and Discrete Geometry - Tom Tucker, Genera of polyhedral embeddings of cubic graphs
With G. Brinkman and N. van Cleemput
Discrete Math and Theoretical Computer Science
- 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 Jim茅nez Bola帽os, 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鈥
With N. Caluori and J. Brown-Iannuzzi
Social Psychological and Personality Science - Will Cipolli, Who gets to vote? Racialized mental images of legitimate and illegitimate voters
With J.L. Brown-Iannuzzi, E. Cooley, and B. K. Payne
Social Psychological and Personality Science - Aaron Robertson, Down the large rabbit hole
Rocky Mountain Journal of Mathematics - Joe P. Chen, Laplacian growth and sandpiles on the Sierpinski gasket: limit shape universality and exact solutions
With Jonah Kudler-Flam
Annales de l鈥橧nstitut Henri Poincar茅 (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 Jim茅nez Bola帽os, 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.) - Tom Tucker, Asymmetrizing trees of maximum valence 2鈩0
With I. Imrich
Monatshefte fur Mathematik - Tom Tucker, Recurrences for genus polynomials of linear sequences of graphs
With Y. Chen, J. Gross, and T. Mansour
Mathematica Slovaca - Tom Tucker, Genus polynomials for ladder-like sequences of graphs
With J. Gross and T. Mansour
Journal of Algebraic Combinatorics - Tom Tucker, Observations and answers to questions about edge-transitive maps
With Marston Conder and Isabel Holm
Art of Discrete and Applied Mathematics
- Ahmet Ay, Characterizing building blocks of resource constrained biological networks
With Y. Ren, A. Dobra, and T. Kahveci
BMC Bioinformatics - 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鈥
Monatshefte f眉r 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 - Will Cipolli, Supervised learning via smoothed Polya trees
With T. Hanson
Advances in Data Analysis and Classification - Rob Davis, A polyhedral proof of a wreath product identity
With B. Sagan
Journal of Combinatorics - Will Cipolli, Racial biases in officers鈥 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 - Gabriel Sosa Castillo, MultiRees Algebras and Toric Dynamical Systems
With David Cox and Kuei-Nuan Lin
Proceeding of the American Mathematical Society - 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鈥
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鈥
With S. Keskin, G. Devakanmalai, S. Kwon, H. Vu, Q. Hong, Y. Lee, M. Soltani, A. Singh, and E. 脰zbudak
Cell Reports - Dan Saracino, Rook and Wilf equivalence of integer partitions鈥
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鈥
With A. Jimenez, J. Winward, and U. Beattle
PLoS ONE - Will Cipolli, The score test for independence of two marginal Poisson variables
With R. Bower, J.R. Hussey, J. Zhang, J. Quattro, B. Muhling, and J. W. Hardin
Communications in Statistics: Case Studies, Data Analysis and Applications - Joe P. Chen, Regularized Laplacian determinants of self-similar fractals鈥
With A. Teplyaev and K. Tsougkas
Letters in Mathematical Physics - Gunog Seo, Sensitivity of the dynamics of the general Rosenzweig鈥揗acArthur model to the mathematical form of the functional response: a bifurcation theory approach
鈥╓ith G. Wolkowicz
Journal of Mathematical Biology - Gunog Seo, Bifurcations and global dynamics in a toxin-dependent aquatic population model鈥
With Q. Huang and C. Shan
Mathematical Biosciences - Ahmet Ay, Modeling Strengthens Molecular Link between Circadian Polymorphisms and Major Mood Disorders鈥
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'
鈥╓ith E. Cooley, B. Payne, C. Cameron, A. Berger, and K. Gray
鈥↗ournal of Experimental Psychology: General - Evelyn Hart, The equivalence of two methods: finding representatives of non-empty Nielsen classes
鈥╓ith H. Vu
鈥˙ulletin of the Belgian Mathematical Society-Simon Stevin - Joe P. Chen, The moving particle lemma for the exclusion process on a weighted graph
鈥‥lectronic 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鈥
With U. Andrews, G. Bonik, R. Martin, and A. Teplyaev
鈥↗ournal 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鈥
With J. Zaifman, D. Shan, and A. Jimenez
鈥↖nternational Journal of Zoology - Joe P. Chen, Stabilization by noise of a 鈩2-valued coupled system鈥
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鈥
With K. Grochenig and G. Olafsson
鈥↖ndiana 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
鈥∟ature Scientific Reports - Silvia Jim茅nez Bola帽os, Derivation of the Navier slip and slip length for viscous flows over a rough boundary鈥
With B. Vernescu
Physics of Fluids - Ahmet Ay, Differential DNA level regulation by alternatively designed molecular mechanisms: A mathematical modeling approach鈥
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
鈥↗ournal 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+ 路 路 路 + xn = y1 + y2 + 路 路 路 + yk鈥
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鈥
With T. Hanson
Statistics and Computing - Dan Saracino, Pattern avoidance for set partitions 脿 la Klazar鈥
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鈥
With P. Heath and E. Keppelmann
Fundamenta Mathematicae - Will Cipolli, Bayesian nonparametric multiple testing
With T. Hanson and A. McLain
鈥–omputational Statistics and Data Analysis - Ahmet Ay, Mutant screen report: microarray analysis of gene expression in S. cerevisiae kap108delta mutants upon addition of oxidative stress 鈥
With K. Belanger, N. Larson, J. Kahn, and D. Tkachev
鈥℅3: Genes | Genomes | Genetics - Joe P. Chen, Singularly continuous spectrum of a self-similar Laplacian on the half-line鈥
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 鈥╥n Sampling Theory, a Renaissance 鈥(叠颈谤办丑补耻蝉别谤) - 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 Jim茅nez Bola帽os, Nonlinear neutral inclusions: assemblages of coated ellipsoids鈥
With B. Vernescu
Royal Society Open Science鈥 - Ahmet Ay, Hierarchical decomposition of dynamically evolving regulatory networks鈥
With D. Gong and T. Kahveci
BMC Bioinformatics 鈥 - Ahmet Ay, Genome-wide errant targeting by Hairy
With K. Kok, L. Li, and D. Arnosti
鈥╡尝颈蹿别鈥 - Joe P. Chen, Spectral dimension and Bohr's formula for Schrodinger operators on unbounded fractal spaces
With S. Molchanov and A. Teplyaev
鈥↗ournal of Physics A: Mathematical and Theoretical鈥ㄢ - Ahmet Ay, Construction of signaling networks with incomplete RNAi data
With Q. Wang, Y. Ren, M. Hasan, and T. Kahveci
鈥˙ioinformatics and Biomedicine鈥 - Gunog Seo, Existence of multiple limit cycles in a predator鈥損rey model with arctan(ax) as functional response
With G. Wolkowicz
鈥–ommunications in Mathematical Analysis鈥 - 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鈥 - Dan Saracino, The 2-color Rado number of x1+x2+路 路 路+xm-1 = axm, II
鈥ˋrs Combinatoria鈥 - 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 鈥 - Joe P. Chen, Entropic repulsion of Gaussian free field on high-dimensional Sierpinski carpet graphs
With B. Ugurcan
Stochastic Processes and their Applications鈥 - Ahmet Ay, Mathematical modeling deciphers the benefits of alternatively-designed conserved activatory and inhibitory gene circuits
With N. Wilner and N. Yildirim
Molecular BioSystems鈥 - 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
鈥↗ournal of Combinatorial Mathematics and Combinatorial Computing - Ahmet Ay, Dynamics matter: differences and similarities between alternatively designed regulatory mechanisms
With N. Yildirim
Molecular BioSystems鈥 - Dan Saracino, The 2-color Rado number of x1+x2+路 路 路+xm-1 = axm
鈥ˋrs Combinatoria - Aaron Robertson, Ramsey Theory on the Integers, Second edition
With B. Landman
鈥ˋmerican 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
鈥↗ournal 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
Faculty Grants
This is a continuously updated list of current and recent grants awarded to members of the mathematics department.
- Nicholas Moore, New Models to Characterize and Predict Rare Events in Complex Physical Systems
Office of Naval Research - Kelly Isham, Exploring the Mathematics of Large-scale Computer Network Design: Toward Zettascale
With K. Lakhotia (Intel) and L. Monroe (Los Alamos National Lab)
冈本视频 Picker Interdisciplinary Science Institute - Dan Schult, Sparse Arrays for Scientific Python.
With St茅fan van der Walt and Jarrod Millman
Chan Zuckerberg Initiative - Kelly Isham, Mathematical Aspects of Network Design for Post-Exascale Systems.
With PI Laura Monroe
Los Alamos National Lab LDRD reserve grant - Nicholas Moore, Erosion, Transport, and Dispersion in Granular and Porous Media.
With Bryan Quaife
National Science Foundation - Rob Davis, Collaborative Research: A convex geometry and homotopy approach for power-flow equations
National Science Foundation - Silvia Jim茅nez Bola帽os, RUI: Multiscale Methods, Singular Limits, and Spectral Problems Related to Materials Science
National Science Foundation - Joe P. Chen, Stochastic Dynamics on Large-Scale Networks
National Science Foundation - Will Cipolli, How radicalization became the dominant framework for understanding terrorism
With D. Silva
Social Science and Humanities Research Council of Canada - Dan Schult, Sustained Code and Community Development for NetworkX
With S. Mridul and J. Millman
Chan Zuckerberg Institute - Will Cipolli, Why does rich = White and poor = Black in the minds of United States' citizens? Race-based class assumptions and their consequences for increasing racial resentment and race-related health disparities in the United States
With E. Cooley, L. Philbrook, J. Brown-Iannuzzi, and R. Lei
冈本视频 Picker Interdisciplinary Science Institute - Will Cipolli, The Data Analysis + Consultation Network
With J. Finnell
Central New York Library Resources Council
Student Publications
Undergraduate research assistants at 冈本视频 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.
- Uncertainty principles and differential operators on the weighted Bergman space
J. Christensen and C. Deng
Complex Analysis and Operator Theory, 2023 - Fracking Twitter: Utilizing machine learning and natural language processing tools for identifying coalition and causal narratives
W. Cipolli, A. Pattison, J. Marichal, and C. Cherniakov
Politics & Policy, 2023 - Groups amplify the perceived threat and justification for using force against black people protesting for racial equality鈥攅specially among social conservatives
W. Cipolli, E. Cooley, J.L. Brown-Iannuzzi, B.K. Payne, and J. Steele
Group Processes & Intergroup Relations, 2023 - A Superconducting synapse exhibiting spike-timing dependent plasticity
D. Schult, K. Segall, C. Purmessur, and A. D鈥橝ddario
Applied Physics Letters, 2023 - Effect of different masses, ages, and coats on the thermoregulation of dogs before and after exercise across different seasons
A. G. Jimenez, K. Paul, A. Zafar, and Ahmet Ay
Veterinary Research Communications, 2022 - Machine Learning Analyses Reveal Circadian Features Predictive of Risk for Sleep Disturbance
R. Overton, A. Zafar, Z. Attia, Ahmet Ay, and K. K. Ingram
Nature and Science of Sleep, 2022 - Low circadian amplitude and delayed phase are linked to Seasonal Affective Disorder (SAD)
L. Dhawka, Y. Cha, Ahmet Ay, K. K. Ingram
Journal of Affective Disorders Reports, 2022 - Helicobacter pylori (H. pylori) risk factor analysis and prevalence prediction: a machine learning-based approach
V. Tran, T. Saad, M. Tesfaye, S. Walelign, M. Wordofa, D. Abera, K. Desta, A. Tsegaye, Ahmet Ay, and B. Taye
BMC Infectious Diseases, 2022 - Machine learning-based risk factor analysis and prevalence prediction of intestinal parasitic infections using epidemiological survey data
A. Zafar, Z. Attia, M. Tesfaye, S. Walelign, M. Wordofa, D. Abera, K. Desta, A. Tsegaye, Ahmet Ay, and B. Taye,
PLoS Neglected Tropical Diseases, 2022 - SEALNET: Facial recognition software for ecological studies of harbor seals
Z. Birenbaum, H. Do, L. Horstmyer, H. Orff, K. Ingram, and Ahmet Ay
Ecology and Evolution, 2022 - Machine learning and expression analyses reveal circadian clock features predictive of anxiety.
A. Zafar, R. Overton, Z. Attia, Ahmet Ay and K. Ingram
Scientific Reports, 2022 - Why Every Leader Needs to Worry About Toxic Culture
D. Sull, C. Sull, Will Cipolli, and C. Brighenti
MIT Sloan Management Review, 2022 - Scaling with body mass and age in glycolytic enzymes of domestic dogs With M. R. Wynkoop, S. Lalwani, Will Cipolli, and A.G. Jimenez
Veterinary Research Communications, 2022 - A Case for Nonparametrics
R. Bower, J. Hager, C. Cherniakov, S. Gupta, and Will Cipolli
The American Statistician, 2022 - Effects of metformin, rapamycin, and resveratrol on cellular metabolism of canine primary fibroblast cells isolated from large and small breeds as they age
A. G. Jimenez, S. Lalwani, and Will Cipolli
GeroScience, 2021 - Surface boulder banding indicates Martian debris-covered glaciers formed over multiple glaciations
J. S. Levy, C. I. Fassett, J. W. Holt, R. Parsons, Will Cipolli, T. A. Goudge, M. Tebolt, L. Kuentz, J. Johnson, F. Ishraque, B. Cvijanovich, and Ian Armstrong
Proceedings of the National Academy of Sciences, 2021 - 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鈥橧nstitut Henri Poincar茅 (D) Combinatorics, Physics and their Interactions, 2020 - ANCA: Alignment-Based Network Construction Algorithm
K. Chow, A. Sarkar, R. Elhesha, P. Cinaglia, Ahmet Ay and T. Kahveci
IEEE/ACM Transactions on Computational Biology and Bioinformatics, 2019 - Regulatory network of the scoliosis-associated genes establishes rostrocaudal patterning of somites in zebrafish
S. Keskin, M. F. Simsek, H. T. Vu, C. Yang, S. H. Devoto, Ahmet Ay, and E. M. 脰zbudak
iScience, 2019 - 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., 鈥, Ahmet Ay and E. M. 脰zbudak, 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 kap108螖 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. 脰zbudak, 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. 脰zbudak
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鈥檚 research seminars. Recent thesis titles and student authors are listed below.
- Hair Animation Using the Follow the Leader Method by Kahyla Cocchia (Faculty Advisor: Silvia Jimenez Bolanos)
- Novel Algorithms to Sample the TKdV Gibbs Measure in Search of Rogue Waves by Brendan Foerster (Faculty Advisor: Nick Moore)
- An Exploration of Generating Functions by Samay Gupta (Faculty Advisor: Joe Chen)
- Understanding the Sensitivity Theorem by Dean Kardas (Faculty Advisor: Joe Chen)
- Bayesian Statistics, Copulas, and Survival Analysis by Chang Liu (Faculty Advisor: Silvia Jimenez Bolanos)
- The Random Harmonic Series: Distribution and Density by Jenna Mapley (Faculty Advisor: Joe Chen)
- Attempting to Accurately Rank MMA Fighters with the PageRank Algorithm by Gannon Odierno (Faculty Advisor: Silvia Jimenez Bolanos)
- The Algebraic Magic behind Sampling Algorithms for Independence Models by Aranya Pal (Faculty Advisor: Joe Chen)
- Understanding the Mathematics of Cloaking by Ryan Ruan (Faculty Advisor: Silvia Jimenez Bolanos)
- Derived Voltage Graphs by Omshi Samal (Faculty Advisor: Joe Chen)
- Network Analysis of United States Metropolitan Internal Migration by Alina Vu (Faculty Advisor: Silvia Jimenez Bolanos)
- Cracking the Code of Addiction: Revealing Risk through Machine Learning and Network Analysis of Polymorphisms in HPAAxis and Circadian Rhythm Genes by Ziad Attia (Faculty Advisor: Ahmet Ay)
- Enumerating Possible Lattice Paths by Brian Buys (Faculty Advisor: Rob Davis)
- A Non-Homogeneous Markov Chain Model for NBA Games by Kartik Devpura (Faculty Advisor: Silvia Jimenez Bolanos)
- Properties of Matrices with Constant Diagonals Above and Below the Main Diagonal by Joel Diaz (Faculty Advisor: Rob Davis)
- Modeling and Forecasting on Day-Ahead Electricity Market Using ARIMA-GARCH and LSTM by Yvonne Ding (Faculty Advisor: Silvia Jimenez Bolanos)
- Neural Networks and the Blues: Using Deep Learning to Investigate the Association between Circadian SNPs and Depression by Hieu Do (Faculty Advisor: Ahmet Ay)
- Modeling Passenger Rail Ridership on Intercity Routes by Mitch Duerr (Faculty Advisor: Silvia Jimenez Bolanos)
- Modeling the Term Structure in a Negative Interest Rate Environment by Partait Kabore (Faculty Advisor: Silvia Jimenez Bolanos)
- Game Theory: Investigating Winnable Sets by Stephanie Skura (Faculty Advisor: Rob Davis)
- Total Difference Chromatic Numbers of Graphs and its Relation to Other Labeling Types by Gunes Tiryaki (Faculty Advisor: Rob Davis)
- Pattern Avoidance in Lattice Path Enumeration by Tedi Totojani (Faculty Advisor: Rob Davis)
- Computational Algebraic Geometry by Wayne Wang (Faculty Advisor: Rob Davis)
- Romantic Mathematical Model by Dominique Yozzi (Faculty Advisor: Silvia Jimenez Bolanos)
- Subconcussive Brain Injuries Sustained During American Football Alter Gut Microbiome Diversity and Composition by Aziz Zafar (Faculty Advisor: Ahmet Ay)
- A Mathematical Model For 5-ALA Transport and Distribution in Glioblastoma by Emma Zeng (Faculty Advisor: Nick Moore)
- Expected Length of the Cop-Robber Game with Added Random Movement by Giancarlo Arcese (Faculty Advisor: Gabe Sosa Castillo)
- Wavelet Analysis of the Labor Market by Austin Beers (Faculty Advisor: Jens Christensen)
- Predicting Stunting and Thinness in Ethiopian Schoolchildren Using Machine Learning Classification by Claire Bonzani (Faculty Advisor: Ahmet Ay)
- Individual-Based Modeling of COVID-19 at 冈本视频 by Emily Carter (Faculty Advisor: Jens Christensen)
- A SEICR model for COVID-19 in China by Lihui Chen (Faculty Advisor: Jens Christensen)
- Some Properties of the Convolution of Fibonacci Numbers by Tarik Cigeroglu (Faculty Advisor: Gabe Sosa Castillo)
- Network Analysis on Machine Learning-Discovered Significant Genes Associated with Colorectal Cancer and KLF4 by Emily Clark (Faculty Advisor: Ahmet Ay)
- Asymmetric Hales-Jewett Numbers by Nathan Conlon (Faculty Advisor: Aaron Robertson)
- Analysis of Directional Grids by Nicholas Coeytaux (Faculty Advisor: Aaron Robertson)
- Generating Uncertainty Principles by Christoper Deng (Faculty Advisor: Jens Christensen)
- The Stochastic Evolution of Open Quantum Systems by Nick DiBrita (Faculty Advisor: Dan Schult)
- Modular Applications of Fourier Analysis by Greta Ferdinand (Faculty Advisor: Aaron Robertson)
- An Exposition of Modern Cryptography: A Tough Subject to Crack by Andrew Ferrante (Faculty Advisor: Gabe Sosa Castillo)
- Pursuit Trajectory for a Fox Chasing a Rabbit Moving in a Straight, Parabolic and Circular Motion by Federico Aguilera Gonzalez (Faculty Advisor: Gabe Sosa Castillo)
- Applications of Dynamic Mode Decomposition and Modern Portfolio Theory in Financial Markets by John Gunnin (Faculty Advisor: Dan Schult)
- A Three Step Reaction Model of Smoldering and Flaming Combustion by Emma Hart (Faculty Advisor: Dan Schult)
- Investigating Atmospheric Tracers with Dynamic Mode Decomposition by Fairuz Ishraque (Faculty Advisor: Dan Schult
- Representations of the Natural Numbers Using Box Arrangements of Lengths at Most 3 by Joakim Jakovleski (Faculty Advisor: Gabe Sosa Castillo)
- Content-Based Book Recommendation Systems: Comparing TF-IDF, Word Vectors, Paragraph Vectors and Transformers by Vani Kanoria (Faculty Advisor: Dan Schult)
- ARIMA Model for Forecasting the Wage Differential Associated with Education by Dipesh Khati (Faculty Advisor: Jens Christensen)
- Broadcast Domination in Rectangular Grids by Miya Kim (Faculty Advisor: Gabe Sosa Castillo)
- Smoldering and Flaming Model by Elena Larocco (Faculty Advisor: Dan Schult)
- Modeling Extinction for Non-Adiabatic Opposed-Flow Smolder by Chloe Malinowski (Faculty Advisor: Dan Schult)
- The Quantum Bit and Quantum Key Exchange by Nam Nguyen (Faculty Advisor: Aaron Robertson)
- Elementary Properties of Some Integer Sequences by Qizhe Pan (Faculty Advisor: Aaron Robertson)
- Eventown and Oddtown with Even and Odd Intersections by Jayvion Queen (Faculty Advisor: Aaron Robertson)
- Modeling Sectarianism: Analyzing the Dynamics of the Arab Spring in Syria by Akshara Ramaseshan (Faculty Advisor: Dan Schult)
- Vermilion: Efficient Simulation of Delayed Stochastic Systems by Taz Saad (Faculty Advisor: Ahmet Ay)
- Machine Learning Algorithms with Application to Green Energy Economics by Isabelle Sapountzis (Faculty Advisor: Dan Schult)
- Optimus Prime: The Circle Method and Infinite Three-Term Arithmetic Progressions of Primes by Rachel Schaaf (Faculty Advisor: Aaron Robertson)
- Welfare Under Excess Supply and Demand in a Ride-Hailing Market by Ayush Sinha (Faculty Advisor: Dan Schult)
- Homogenizing a Grid of Lightbulbs: A Dive into an Interesting Coloring Problem by Joseph Smith (Faculty Advisor: Gabe Sosa Castillo)
- Deciphering the Perception of Charisma as a Cognitive Mechanism through Analysis of EEG Data with Machine Learning Techniques by Cole Ventresca (Faculty Advisor: Ahmet Ay)
- Predicting Schizophrenia from Human Gut Microbiome by Dong Wang (Faculty Advisor: Ahmet Ay)
- Predicting Stock Market Trends Using Random Forests by Jessica Zhao (Faculty Advisor: Jens Christensen)
- Maximal Distance Sets in 2-dimensional Euclidean Space by El偶bieta Bo艂dyriew (Faculty Advisor: Aaron Robertson)
- An Application of Page Rank by Matt Chistolini (Faculty Advisor: Silvia Jimenez Bolanos)
- Decoding and Predicting Charismatic and Non-charismatic Perceptions Using Machine Learning on EEG Data by Isabel Gephart (Faculty Advisor: Ahmet Ay)
- 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 冈本视频鈥檚 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鈥檚 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鈥檚 Theorem Over Finite Fields by Caroline Wardlow (Faculty Advisor: Aaron Robertson)
- Algorithmic Solution to Rado鈥檚 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)