Publications

  • 47 total including 8 with expected submission by March, 2020
  • 1600+ citations on GoogleScholar as of November, 2019
  • Asterisk denotes undergraduate student co-author
  • Because of my beliefs about equity and about the purpose of scientific communication, I am a strong supporter of open-access publishing. The vast majority of my recent papers are either in open-access journals such as PLOS One, or in non-open access journals that allow authors to pay an open-access fee to make their papers downloadable by anyone.
Peer-Reviewed Publications
  1. C.M. Topaz, M.-V. Ciocanel, P. Cohen, M. Ott, N. Rodríguez. Institute for the Quantitative Study of Inclusion, Diversity, and Equity, Notices of the American Mathematical Society (2020, to appear). [Preprint]
  2. 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]
  3. M.J. Panaggio, M.-V. Ciocanel, L. Lazarus, C.M. Topaz, B. Xu. Model reconstruction from temporal data for coupled oscillator networks, Chaos 29 (10) (2019) 103116. [Journal – Open Access]
  4. 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]
  5. *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]
  6. 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]
  7. C.M. Topaz, S. Sen. Gender representation on journal editorial boards in the mathematical sciences, PLOS One 11 (8) (2016) e0161357. [Journal – Open Access]
  8. 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]
  9. C.M. Topaz, L. Ziegelmeier, T. Halverson. Topological data analysis of biological aggregation models, PLOS One 10 (5) (2015) e0126383. [Journal – Open Access]
  10. 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]
  11. *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]
  12. A.J. Bernoff, C.M. Topaz. Nonlocal aggregation equations, SIAM Rev. 55 (4) (2013)  709 – 747. SIGEST Selection Paper. [Reprint] [Journal]
  13. 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]
  14. 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]
  15. 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]
  16. C.M. Topaz, A. Catllá. Forced patterns near a Turing-Hopf bifurcation. Phys. Rev. E 81 (2) (2010) 026213. [Journal – Open Access]
  17. *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]
  18. 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]
  19. C.M. Topaz. Review of “Continuum modeling in the physical sciences” by van Groesen and Molenaar. Biometrics 64 (2008) 1299 – 1300. [Reprint] [Journal]
  20. 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]
  21. 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]
  22. 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]
  23. C.M. Topaz, J. Porter, M. Silber. Multifrequency control of Faraday wave patterns. Phys. Rev. E 70 (6) (2004) 066206. [Reprint] [Journal]
  24. 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]
  25. J. Porter, C.M. Topaz, M. Silber. Pattern control via multi-frequency parametric forcing. Phys. Rev. Lett. 93 (3) (2004) 034502. [Reprint] [Journal]
  26. *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]
  27. 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]
  28. 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]
In preparation (papers with projected submission by March 2020)
  1. *D. Maes, C.M. Topaz, *J. Tucher. Forecasting affirmative action and critical mass in the college admissions pipeline.
  2. M.-V. Ciocanel, R. Santorella, C. Smith, C.M. Topaz. An equity scorecard for federal judges.
  3. A.J. Bernoff, C.M. Topaz, M.R. D’Orsogna, L. Edelstein-Keshet. A model of locust hopper bands.
  4. J. Crodelle, C. Vallejo, M.R. D’Orsogna, C.M. Topaz, M. Schmidtchen. Detecting the impact of California’s Safe Neighborhoods and Schools Act on crime in Santa Monica.
  5. S. Iams, C.M. Topaz. Correlates of vegetation patterns in the Horn of Africa.
  6. *Z. Li, C.M. Topaz. Homology of random Vietoris-Rips complexes.
  7. H. Adams, C.M. Topaz, *L. Xian, L. Ziegelmeier. Dynamics of time-varying metric spaces.
  8. A. Rucklidge, P. Subramanian, C.M. Topaz. Controlling patterns in two-layer Turing chemical systems.
Other Mathematical/Academic Writing
  1. C.M. Topaz. A super-gay companion to calculus (in prep., 2020).
  2. C.M. Topaz. The secret life of teaching (in prep., 2020).
  3. 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]
  4. C.M. Topaz, Shilad Sen. Gender disparities on mathematical sciences editorial boards. Association for Women in Science Magazine 51 (1) (2019) 22 – 26. [Reprint]
  5. C.M. Topaz. Your next mathematics research project. Math Horizons 26 (3) (2019) 2. [Reprint] [Journal]
  6. C.M. Topaz, J. Higdon. Six ways to upend the focus on good grades. MAA Teaching Tidbits (2017). [Web article]
  7. C.M. Topaz, M. Mei. Guide to lit searching for the disinclined. AMS E-Mentoring Blog (2017). [Web article]
  8. 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]
  9. C.M. Topaz. Self-help homology tutorial for the simple(x)-minded (2015). [with solutions, without solutions]
  10. C.M. Topaz. Research: It doesn’t take a genius.  SIAM News Blog (2014). [Web article]
  11. C.M. Topaz. Pattern formation in two-frequency forced Faraday waves. Ph.D. dissertation (2002) 1 – 210. [Reprint]