Publications

Asterisk indicates student co-author. To see citation information, visit my GoogleScholar Profile.

Peer-Reviewed Publications

C.M. Topaz, B. Klingenberg, D. Turek, B. Heggeseth, P. Harris, J. C. Blackwood, C. Ondine Chavoya, S. Nelson, K. M. Murphy. Diversité of artists in major U.S. museums, submitted. [Preprint]

A.J. Bernoff and C.M. Topaz. Biological aggregation driven by social and environmental factors: A nonlocal model and its degenerate Cahn-Hilliard approximation, SIAM J. Appl. Dyn. Sys. 15 (3) (2016) 1528 – 1562. [Journal – Open Access]

C.M. Topaz and S. Sen. Gender representation on journal editorial boards in the mathematical sciences, PLOS One 11 (8) (2016) e0161357. [Journal – Open Access]

L. Ziegelmeier and C.M. Topaz. Flipping Calculus: A Study of Student Performance and Perceptions, PRIMUS 29 (9-10) (2015) 847 – 860. Top 3 most-read papers of all time in journal. [Journal – Open Access]

C.M. Topaz, L. Ziegelmeier, and T. Halverson. Topological data analysis of biological aggregation models, PLOS One 10 (5) (2015) e0126383. [Journal – Open Access]

E. Sander and C.M. Topaz, Epidemics in the presence of social attraction and repulsion, in Mathematical Modeling of Zombies (2014) 265 – 300, University of Ottawa Press. [Preprint]

*C. Nilsen, *J. Paige, *O. Warner, *B. Mayhew, *R. Sutley, *M. Lam, A.J. Bernoff, and C.M. Topaz. Social aggregation in pea aphids: Experiment and random walk modeling, PLOS One 8 (12) (2013) e83343. [Journal – Open Access]

A.J. Bernoff and C.M. Topaz. Nonlocal aggregation equations, SIAM Rev. 55 (4) (2013)  709 – 747. SIGEST Selection Paper. [Reprint] [Journal]

C.M. Topaz, M.R. D’Orsogna, L. Edelstein-Keshet, and A.J. Bernoff. Locust dynamics: Behavioral phase change and swarming, PLOS Comp. Biol. 8 (8) (2012) e1002642. [Journal – Open Access]

A. Catllá, *A. McNamara, and C.M. Topaz. Instabilities and patterns in coupled reaction-diffusion layers. Phys. Rev. E 85 (2) (2012) 026215. [Journal – Open Access]

A.J. Bernoff and C.M. Topaz. A primer of swarm equilibria, SIAM J. Appl. Dyn. Sys. 10 (1) (2011)  212 – 250. “Highly Cited Paper”, receiving enough citations to place it in the top 1% of its academic field according to Essential Science Indicators. Winner of a 2013 SIAM Outstanding Paper Prize, given to three papers selected from the pool of all SIAM journals over the prior three years. [Reprint] [Journal]

C.M. Topaz and A. Catllá. Forced patterns near a Turing-Hopf bifurcation. Phys. Rev. E 81 (2) (2010) 026213. [Journal – Open Access]

*A.J. Leverentz, C.M. Topaz and A.J. Bernoff. Asymptotic dynamics of attractive-repulsive swarms. SIAM J. Appl. Dyn. Sys, 8 (3) (2009) 880 – 908. [Reprint] [Journal]

J.A. Higdon and C.M. Topaz. Blogs and Wikis as Instructional Tools: A Social Software Adaptation of Just-in-Time Teaching. College Teaching 57 (2) (2009) 105 – 109. [Reprint] [Journal]

C.M. Topaz. Review of “Continuum modeling in the physical sciences” by van Groesen and Molenaar. Biometrics 64 (2008) 1299 – 1300. [Reprint] [Journal]

C.M. Topaz, A.J. Bernoff, *S. Logan, and *W. Toolson. A model for rolling swarms of locusts. Euro. Phys. J. 157 (1) (2008) 93 – 109. [Reprint] [Journal]

C.M. Topaz, A.L. Bertozzi, and M.A. Lewis. A nonlocal continuum model for biological aggregation. Bull. Math. Bio. 68 (7) (2006) 1601 – 1623. “Highly Cited Paper”, receiving enough citations to place it in the top 1% of its academic field according to Essential Science Indicators. [Reprint] [Journal]

R. Breban, I. McGowan, C.M. Topaz, E. Schwartz, P. Anton, S. Blower. Modeling the potential impact of rectal microbicides to reduce HIV transmission in bathhouses. Math. Biosci. Engin. 3 (3) (2006) 459 – 466. [Reprint] [Journal]

C.M. Topaz, J. Porter, and M. Silber. Multifrequency control of Faraday wave patterns. Phys. Rev. E 70 (6) (2004) 066206. [Reprint] [Journal]

C.M. Topaz and A.L. Bertozzi. Swarming patterns in a two-dimensional kinematic model for biological groups. SIAM J. Appl. Math. 65 (1) (2004) 152 – 174. [Reprint] [Journal]

J. Porter, C.M. Topaz, and M. Silber. Pattern control via multi-frequency parametric forcing. Phys. Rev. Lett. 93 (3) (2004) 034502. [Reprint] [Journal]

*B. Cook, D. Marthaler, C.M. Topaz, A. Bertozzi, and M. Kemp. Fractional bandwidth reacquisition algorithms for VSW-MCM. In Multi-Robot Systems: From Swarms to Intelligent Automata, Volume II, Kluwer Academic Publishers, Dordrecht, A.C. Schultz et al. eds. (2003) 77 – 86. [Reprint]

C.M. Topaz and M. Silber. Resonances and superlattice pattern stabilization in two-frequency forced Faraday waves. Physica D 172 (1 – 4) (2002) 1 – 29. [Reprint] [Journal]

M. Silber, C.M. Topaz, and A.C. Skeldon. Two-frequency forced Faraday waves: Weakly damped modes and pattern selection. Physica D 143 (1 – 4) (2000) 205 – 225. [Reprint] [Journal]

Other Mathematical Writing

C.M. Topaz and J. Higdon. Six ways to upend the focus on good grades. MAA Teaching Tidbits (2017). [Web article]

C.M. Topaz and M. Mei. Guide to lit searching for the disinclined. AMS E-Mentoring Blog (2017). [Web article]

C.M. Topaz. Topological data analysis: One applied mathematician’s heartwarming story of struggle, triumph, and ultimately, more struggle. SIAM Dynamical Systems Web (2016). [Web article]

C.M. Topaz. Self-help homology tutorial for the simple(x)-minded (2015). [with solutions, without solutions]

C.M. Topaz. Research: It doesn’t take a genius.  SIAM News Blog (2014). [Web article]

C.M. Topaz. Pattern formation in two-frequency forced Faraday waves. Ph.D. dissertation (2002) 1 – 210. [Reprint]