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

Peer-Reviewed Publications

D. Bhaskar, A. Manhart, J. Milzman, J.T. Nardini, K. Storey, C.M. Topaz, L. Ziegelmeier. Analyzing collective motion with machine learning and topology. Submitted (2019). [Preprint]

M.J. Panaggio, M.-V. Ciocanel, L. Lazarus, C.M. Topaz, B. Xu. Model reconstruction from temporal data for coupled oscillator networks. Submitted to Chaos, in revision (2019). [Preprint]

C.M. Topaz, B. Klingenberg, D. Turek, B. Heggeseth, P. Harris, J. C. Blackwood, C. Ondine Chavoya, S. Nelson, K. M. Murphy. Diversity of artists in major U.S. museums, PLOS One 14 (3) (2019) e0212852. [Journal – Open Access]

*M. Ulmer, L. Ziegelmeier, C.M. Topaz. A topological approach to selecting models of biological experiments, PLOS One 14 (3) 2019 e0213679 [Journal – Open Access]

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

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

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

E. Sander, 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, 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, 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, A.J. Bernoff. Locust dynamics: Behavioral phase change and swarming, PLOS Comp. Biol. 8 (8) (2012) e1002642. [Journal – Open Access]

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

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

J.A. Higdon, 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, *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, 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, M. Silber. Multifrequency control of Faraday wave patterns. Phys. Rev. E 70 (6) (2004) 066206. [Reprint] [Journal]

C.M. Topaz, 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, 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, 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, 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, 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/Academic Writing

C.M. Topaz. A super-gay companion to calculus (in prep., 2019).

C.M. Topaz. The secret life of teaching (in prep., 2019).

L. Chen, R. Kasman, J. Rana, C.M. Topaz. Interested in applying to a liberal arts institution? Notices of the AMS 66 (6) (2019) 855 – 859. [Reprint]

C.M. Topaz, Shilad Sen. Gender disparities on mathematical sciences editorial boards. Association for Women in Science Magazine 51 (1) (2019) 22 – 26. [Reprint]

C.M. Topaz. Your next mathematics research project. Math Horizons 26 (3) (2019) 2. [Reprint] [Journal]

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

C.M. Topaz, 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]