Faculty Publications and Activities 2013-15
Publications
E. Brussel and E. Tengan, “Tame division algebras of prime period over function fields of p-adic curves,” Israel J. Math. 201 (2014), no. 1, 361-371.
D. Champney, “On the sensitivity of problem phrasing – exploring the reliance of student responses on particular representations of infinite series,” Proceedings of the 16th Annual Conference on Research in Undergraduate Mathematics Education (2013).
D. Champney, “Visualizing mathematical connections in student teaching episodes,” Proceedings of the 16th Annual Conference on Research in Undergraduate Mathematics Education (2013).
L. Deaett, R. Lafuente-Rodriguez, J. Marin, Jr, E. Haller Martin, L. Patton, K. Rasmussen, and R. Johnson Yates, “Trace conditions for symmetry of the numerical range,” Electron. J. Linear Algebra 26 (2013), 591-603.
T. Grundmeier, “Developing the Problem Posing Abilities of Prospective Elementary and Middle School Teachers.” In (Eds.) J. Cai, N. Ellerton, and F.M. Singer, Mathematical Problem Posing: From Research to Effective Practice. Springer (2015).
C. Gu, “Elementary operators which are m-isometries,” Linear Algebra Appl. 451 (2014), 49-64.
A. Gully, J. Lin, E. Cherkaev, and K. Golden, “Bounds on the complex permittivity of polycrystalline materials by analytic continuation,” Proc. R. Soc. A, 471 (2015) no. 2174.
A. Jiménez, “Sparse Hessian factorization in curved trajectories for unconstrained minimization,” Optim. Methods Softw. 29 (2014), no. 1, 1-9.
G. Kato, “Temporal Topos and Time at the Origin of Universe and Its Relations to Consciousness,” Cosmology Journal, Vol. 18, 443-455 (2014).
C. Kirk and W. Olmstead, “Thermal blow-up in a subdiffusive medium due to a nonlinear boundary flux,” Fract. Calc. Appl. Anal. 17 (2014), no. 1, 191-205.
S. Kitaev and J. Liese, “Harmonic numbers, Catalan's triangle and mesh patterns,” Discrete Math. 313 (2013), no. 14, 1515-1531.
E. Kuo and D. Champney, “Three diagnoses of why transfer across disciplines can fail and their implications for interdisciplinary education,” Learning and becoming in practice: The International Conference of the Learning Sciences, 1 (2014).
M. Lapidus, E. Pearse, and S. Winter, “Minkowski measurability results for self-similar tilings and fractals with monophase generators,” Fractal geometry and dynamical systems in pure and applied mathematics. I. Fractals in pure mathematics, Amer. Math. Soc. 600 (2013) 185-203.
E. Medina, R. Grassl, and M. Fay-Zenk, “Mathematical Explorations: Fun with Triangular Numbers,” Mathematics Teaching in the Middle School, 20 (2014), 116.
A. Mendes and K. Morrison, “Guessing games,” Amer. Math. Monthly 121 (2014), no. 1, 33-44.
L. Patton, “Some block Toeplitz composition operators,” J. Math. Anal. Appl. 400 (2013), no. 2, 363-376.
D. Paquin, J. Shamshoian, and D. Sacco, “An Analysis of Strategic Treatment Interruptions During Imatinib Treatment of Chronic Myelogenous Leukemia with Imatinib-Resistant Mutations,” Mathematical Biosciences (2015) to appear.
A. Schinck-Mikel and D. Pugalee published a research summary on the use of writing in middle school mathematics classes in support of the Association of Middle Level Education's This We Believe guidelines, which describe the characteristics of successful middle grades schools. These research summaries are meant to inform policy and practice at middle schools around the country.
T. Todorov, “Algebraic approach to Colombeau theory,” São Paulo J. Math. Sci. 7 (2013), no. 2, 127-142.
R. Veeraraghavan, J. Lin, G. Hoeker, J. Keener, R. Gourdie, and S. Poelzing, “Sodium channels in the Cx43 gap junction perinexus may constitute a cardiac ephapse: an experimental and modeling study,” Pfluger's Archiv - European Journal of Physiology (2015).
Presentations and Awards
Danielle Champney gave two presentations in February 2014 at the conference of the Special Interest Group of the Mathematical Association of America on Research in Undergraduate Mathematics Education: “On the sensitivity of problem phrasing — exploring the reliance of student responses on particular representations of infinite series” and “Visualizing mathematical connections in students' teaching episodes."
Dana Paquin with David Kato, Caleb Miller and John Shamshoian were awarded a Baker & Koob grant for their project Analysis of a Delay Differential Equations Mathematical Model for Imatinib Treatment of Chronic Myelogenous Leukemia.
