Mathematics Student Publications

Cole Butler (BS ’20) and P. Stechlinski, Modeling Opioid Abuse: A Case Study of the Opioid Crisis in New England, Bulletin of mathematical biology, 85(6);45. DOI: 10.1007/s11538-023-01148-1.

Tyrone Crisp and Davis MacDonald (MA ’22), Flow equivalence of diagram categories and Leavitt path algebras, Journal of Pure and Applied Algebra, 227 (2023), no. 3, 10723.

Tyrone Crisp and Caleb Hill (MA ’20),  Combinatorial Hopf algebras from representations of families of wreath products, Algebraic Combinatorics, 5 (2022) no. 1, 93-120.

M. Ackley (MA ’21) and P. Stechlinski, Determining key parameters in riots using lexicographic directional differentiation, SIAM Journal on Applied Mathematics Volume 81, Issue 3, 2021, 1303-1331.

M. Ackley (MA ’21) and P. Stechlinski, Lexicographic derivatives of nonsmooth glucose-insulin kinetics under normal and artificial pancreatic responses, Applied Mathematics and Computation Volume 395, 15 April 2021, 125876.

J. Case (MA ’13) & Speer, N. (2019) Calculus Students’ Deductive Reasoning and Strategies when Working with Abstract Propositions and Calculus Theorems, PRIMUS, DOI: 10.1080/10511970.2019.1660931

A. Knightly and C. Reno (MA ’17), Weighted distribution of low-lying zeros of GL(2) L-functions, Canadian Journal of Mathematics, 71 (2019), no. 1, 153-182.

Z. Marin (MA ’17), JK Wallace, J Nadeau, and A. Khalil, Wavelet-based tracking of bacteria in unreconstructed off-axis holograms, Methods (2017).

Z. Marin (MA ’17), K. Batchelder (MA ’13), B. Toner (MA ’15), L. Guimond, E. Gerasimova-Chechkina, A. Harrow, A. Arneodo, and A. Khalil, (2017), Mammographic evidence of microenvironment changes in tumorous breasts. Medical Physics, doi:10.1002/mp.12120.

D. Hiebeler, A. Audibert, E. Strubell, and I. Michaud (MA ’11), An Epidemiological Model of Internet Worms with Hierarchical Dispersal and Spatial Clustering of Hosts, Journal of Theoretical Biology, 418, 8–15 (2017).

R. Gupta and J. Huang (MA ’13), The Weibull-Conway-Maxwell-Poisson distribution to analyze survival data, J. Comput. Appl. Math. 311, 171-182 (2017).

E. Gerasimova, B. Toner (MA ’15), Z. Marin (MA ’17), B. Audit, S.G. Roux, F. Argoul, A. Khalil, O. Gileva, O. Naimark, and A. Arneodo, Combining multifractal analyses of digital mammograms and infrared thermograms to assist in early breast cancer diagnosis, in AIP Conference Proceedings (2016), 1760, 020018 (11 pages).

E. Gerasimova-Chechkina, B. Toner (MA ’15), Z. Marin (MA ’17), B. Audit, S.G. Roux, F. Argoul, A. Khalil, O. Gileva, O. Naimark, and A. Arneodo, Comparative multifractal analysis of dynamic infrared thermograms and X-ray mammograms enlightens changes in the environment of malignant tumors, Frontiers in Physiology, 7, 336 (2016, 15 pages)

D. Hiebeler and J. Hill (MA ’14), Locally Dispersing Populations in Heterogeneous Dynamic Landscapes with Spatiotemporal Correlations. II. Habitat Driven by Voter Dynamics, Journal of Theoretical Biology, 407, 81–89 (2016).

S.M. Plourde, Z. Marin (MA ’17), Z.R. Smith, B.C. Toner (MA ’15), K.A. Batchelder (MA ’13), and A. Khalil, Computational growth model of breast microcalcification clusters in simulated mammographic environments, Computers in Biology and Medicine, 76, 7-13 (2016).

Case, J. (MA ’13) & Speer, N. (2016). Calculus students’ understanding of logical implication and its relationship to their understanding of calculus theorems, in (Eds.) T. Fukawa-Connelly, N. Infante, M. Wawro, and S. Brown, Proceedings of the 19th Annual Conference on Research in Undergraduate Mathematics Education (pp. 608-613), Pittsburgh, Pennsylvania. [100MB pdf of proceedings]

S. Firouzian (MA ’14) & N. Speer, (2015). Integrated mathematics and science knowledge for teaching framework, in Fukawa-Connelly, T. Infante, N., Keene, K. and Zandieh, M. (Eds.), Proceedings of the 18th Annual Conference on Research in Undergraduate Mathematics Education, (pp. 509-521). Pittsburgh, Pennsylvania.

J. Jackson (MA ’11) and A. Knightly, Averages of twisted L-functions, J. Aust. Math. Soc. 99 (2015), no. 2, 207-236.

D. Hiebeler, R. Rier (MA ’14), J. Audibert, P. LeClair, and A. Webber, Variability in a community-structured SIS epidemiological model, Bull. Math. Biol. 77 (2015), no. 4, 698-712.

N. Speer & S. Firouzian (MA ’14), (2014). Current and future faculty members’ mathematical knowledge for teaching calculus, in Fukawa-Connelly, T.,  Karakok, G., Keene, K., and Zandieh, M. (Eds.), Proceedings of the 17th Annual Conference on Research in Undergraduate Mathematics Education, 2014, (pp. 1052-1057). Denver, Colorado.

K. Batchelder (MA ’13), A. Tanenbaum, S. Albert, L. Guimond, P. Kestener, A. Arneodo, A. Khalil, (2014) Wavelet-based 3D reconstruction of microcalcification clusters from two mammographic views: New Evidence that fractal tumors are malignant and Euclidean tumors are benign, PLoS ONE 9(9): e107580. doi:10.1371/journal.pone.0107580.

A. Knightly and C. Ragsdale (MA ’13), Matrix coefficients of depth-zero supercuspidal representations of GL(2), Involve 7 (2014), no. 5, 669-690.

R. C. Gupta, Q. Wu (MA ’12), and J. Huang (MA ’13), Analysis of survival data by an exponential-generalized Poisson distribution, J. Stat. Comput. Simul. 84 (2014), no. 11, 2495-2505.

R. C. Gupta and J. Huang (MA ’13), Analysis of survival data by a Weibull-generalized Poisson distribution, J. Appl. Stat. 41 (2014), no. 7, 1548-1564.

D. Hiebeler, I. Michaud (MA ’11), B. Wasserman, and T. Buchak, Habitat association in populations on landscapes with continuous-valued heterogeneous habitat quality, J. Theoret. Biol. 317 (2013), 47-54.

R. C. Gupta and W. Viles (MA ’08), Statistical inference for the extended generalized inverse Gaussian model, J. Stat. Comput. Simul. 82 (2012), no. 12, 1855-1872.

D. Hiebeler and I. Michaud (MA ’11), Quantifying Spatial and Temporal Variability of Spatially Correlated Disturbances, Ecological Modelling, 240, 64-73 (2012).

D. Hiebeler, I. Michaud (MA ’11), H. Ackerman, S. Reed Iosevich, Shannon, and A. Robinson, Multigeneration reproduction ratios and the effects of clustered unvaccinated individuals on epidemic outbreak, Bull. Math. Biol. 73 (2011), no. 12, 3047-3070.

R. C. Gupta and W. Viles (MA ’08), Roller-coaster failure rates and mean residual life functions with application to the extended generalized inverse Gaussian model, Probab. Engrg. Inform. Sci. 25 (2011), no. 1, 103-118.

D. Hiebeler, and B. Morin (MA ’06), The Effect of Static and Dynamic Spatially Structured Disturbances on a Locally Dispersing Population, J. Theoret. Biol. 246 (2007), no. 1, 136–144.