Publications

Preprints

  1. Brooks, H.Z. A tutorial on networks in social systems: A mathematical modeling perspective. arXiv preprint arXiv:2302.00801.

Journal Articles

  1. Topaz, C. M., Brooks, H. Z., Kan, U., Sandstede, B., & Smith, C. M. (2025). Diversity, identity, and data. The American Mathematical Monthly 132 (1), 36-47.

  2. Brooks, H.Z., & Porter, M.A. (2025). An “opinion reproduction number” for infodemics in a bounded-confidence content-spreading process on networks. Chaos: An Interdisciplinary Journal of Nonlinear Science 35 (1).

  3. Brooks, H. Z., Chodrow, P. S., & Porter, M. (2024). Emergence of polarization in a sigmoidal bounded-confidence model of opinion dynamics. SIAM Journal on Applied Dynamical Systems 23 (2), 1442-1470.

  4. Hickok, A., Kureh, Y., Brooks, H. Z., Feng, M., & Porter, M. A. (2022). A bounded-confidence model of opinion dynamics on hypergraphs. SIAM Journal on Applied Dynamical Systems, 21(1), 1–32.

  5. Brooks, H. Z., & Porter, M. A. (2020). A model for the influence of media on the ideology of content in online social networks. Physical Review Research, 2(2), 023041.

  6. Carroll, S. R., Brooks, H. Z., & Bressloff, P. C. (2020). Bifurcation analysis of pattern formation in a two-dimensional hybrid reaction–transport model. Physica D: Nonlinear Phenomena, 402, 132274.

  7. Wilson, S. N., Sindi, S. S., Brooks, H. Z., Hohn, M. E., Price, C. R., Radunskaya, A. E., . . . Fefferman, N. H. (2020). How emergent social patterns in allogrooming combat parasitic infections. Frontiers in Ecology and Evolution, 8, 54.

  8. Brooks, H. Z., & Bressloff, P. C. (2017). Turing mechanism for homeostatic control of synaptic density during C. elegans growth. Physical Review E, 96(1), 012413.

  9. Brooks, H. Z., & Bressloff, P. C. (2016). A mechanism for Turing pattern formation with active and passive transport. SIAM Journal on Applied Dynamical Systems, 15(4), 1823–1843.

  10. Brooks, H. Z., & Bressloff, P. C. (2015). Quasicycles in the stochastic hybrid Morris–Lecar neural model. Physical Review E, 92(1), 012704.

  11. Lawley, S. D., Tuft, M., & Brooks, H. Z. (2015). Coarse-graining intermittent intracellular transport: Two-and three-dimensional models. Physical Review E, 92(4), 042709.

Books and Chapters

  1. Zhao, L., Kim, R., Oremland, L. S., Chowkwale, M., de Pillis, L. G., & Brooks, H. Z. (2024). A survey of mathematical modeling of hormonal contraception and the menstrual cycle. Mathematical Modeling for Women’s Health: Collaborative Workshop for Women in Mathematical Biology, 51-82. Cham: Springer Nature Switzerland.

  2. Brooks, H. Z., Hohn, M. E., Price, C. R., Radunskaya, A. E., Sindi, S. S., Williams, N. D., . . . Fefferman, N. H. (2018). Mathematical analysis of the impact of social structure on ectoparasite load in allogrooming populations. In Understanding complex biological systems with mathematics (pp. 47–61). Springer.

  3. Williams, N. D., Brooks, H. Z., Hohn, M. E., Price, C. R., Radunskaya, A. E., Sindi, S. S., . . . Fefferman, N. H. (2018). How disease risks can impact the evolution of social behaviors and emergent population organization. In Understanding complex biological systems with mathematics (pp. 31–46). Springer.

Expository Articles & Outreach

  1. Jones, Q., Meléndez, A. R. V., Mendible, A., Aminian, M., Brooks, H. Z., Alexander, N., . . . Chodrow, P. (2023). Data science and social justice in the mathematics community. Notices of the American Mathematical Society, 70(9), 1479-1489.

  2. Brooks, H. Z., Chen, Y., Feng, M., Kureh, Y. H., Porter, M. A., & Volkening, A. (2020). How to move a SIAM minisymposium online from the comfort of your home. DSWeb: The Dynamical Systems Web.

  3. Brooks, H. Z., Kanjanasaratool, U., Kureh, Y. H., & Porter, M. A. (2020). Disease detectives: Using mathematics to forecast the spread of infectious diseases. Frontiers for Young Minds, Vol. 8: 577741.