I am an applied mathematician working in complex and nonlinear systems. I study a variety of social and biological systems with mathematical models. My goal is to create and communicate mathematics in a way that is exciting, relevant, and inclusive.

I am an Assistant Professor of Mathematics at Harvey Mudd College. I earned my Ph.D. in Mathematics from the University of Utah in 2018, where I was advised by Paul Bressloff. Before joining the faculty at Harvey Mudd, I was a CAM postdoc in the Mathematics department at UCLA (under the mentorship of Mason Porter).

I use a combination of analytical and computational techniques to study phenomena in social and biological applications. I pair tools from dynamical systems and differential equations (including linear and weakly nonlinear analysis, perturbation theory, adiabatic reduction, and symmetric bifurcation theory), network theory, and stochastic processes with numerical simulation and data-driven computational techniques (like agent-based models and dynamic mode decomposition). Read more about my projects here.

I am passionate about the teaching and learning of mathematics. I am a Project NExT Fellow (Silver ’19 cohort) and I was a graduate fellow for the Center for Teaching and Learning Excellence at the University of Utah. I strive to create an inclusive environment where my students can engage meaningfully with challenging problems. My teaching portfolio is here.

As a first-generation college student and woman in mathematics, I strive to be an active advocate for historically underserved people in the math community. I am a proud member of AWM and the Spectra Ally List.

I was born in Idaho and raised in Utah. I played classical flute for many years (I was originally a music major!). Outside of math and music, I love climbing, hiking, skiing, rafting, trivia, podcasts, and coffee.

### Peer-reviewed publications

9. __Influence of media on opinion dynamics in social networks: __ **HZB** and Mason A. Porter. *Physical Review Research 2(2): 023041, 2020.*

8. __How emergent social patterns in allogrooming combat parasitic infections:__ Shelby N. Wilson, Suzanne S. Sindi, **HZB**, Maryann E. Hohn, Candice R. Price, Ami E. Radunskaya, Nakeya D. Williams, and Nina H. Fefferman. *Frontiers in Ecology and Evolution 8:54, 2020.*

7. __Bifurcation analysis of pattern formation in a two-dimensional hybrid reaction-transport model:__ Sam R. Carroll, **HZB**, and Paul C. Bressloff. * Physica D: Nonlinear Phenomena 402:132274, 2020.*

6. __Mathematical analysis of the impact of social structure on ectoparasite load in allogrooming populations:__ **HZB**, Maryann E. Hohn, Candice R. Price, Ami E. Radunskaya, Suzanne S. Sindi, Nakeya D. Williams, Shelby N. Wilson, and Nina H. Fefferman. In * Understanding Complex Biological Systems in Mathematics, Springer (2018), pp. 47-62.*

5. __How disease risks can impact the evolution of social behaviors and emergent population organization:__ Nakeya D. Williams, **HZB**, Maryann E. Hohn, Candice R. Price, Ami E. Radunskaya, Suzanne S. Sindi, Shelby N. Wilson, and Nina H. Fefferman. Preprint available at arXiv:1904.09238. In * Understanding Complex Biological Systems in Mathematics, Springer (2018), pp. 31-46.*

4. __Turing mechanism for homeostatic control of synaptic density during C. elegans growth__: **HZB** and Paul C. Bressloff.* Physical Review E, 96(1):012413, 2017.*

3. __A mechanism for Turing pattern formation with active and passive transport:__ **HZB** and Paul C. Bressloff.* SIAM Journal on Applied Dynamical Systems, 15(4):1823-1843, 2016.*

2. __Coarse-graining intermittent intracellular transport: two and three-dimensional models:__ Sean D. Lawley, Marie Tuft, and **HZB**. *Physical Review E, 92(4):042709, 2015.*

1. __Quasicycles in the stochastic hybrid Morris—Lecar neural model:__ **HZB** and Paul C. Bressloff. *Physical Review E, 92(1): 012704, 2015.*

### Preprints

1. __Disease Detectives: Using Mathematics to Forecast the Spread of Infectious Diseases:
__ **HZB**, Unchitta Kanjanasaratool, Yacoub H. Kureh, and Mason A. Porter. Preprint available at arXiv:2007.05495.* Accepted, Frontiers for Young Minds, 2020. (This is an explanatory article for young readers) *

### Current courses

In Fall 2020, I’m teaching Math 131: Mathematical Analysis. Further course materials can be found on Sakai.

### Past courses

- Introduction to Networks [Spring 2020, UCLA]
- Mathematical Modeling [Fall 2019, UCLA]
- Reading Course in Nonlinear Dynamics [Spring 2019, UCLA]
- Linear and Nonlinear Systems of Differential Equations [Fall 2018 and Winter 2019, UCLA]
- Vector Calculus and Partial Differential Equations [Spring 2018, U. Utah]
- Calculus I, online course [Fall 2017, U. Utah]
- Linear Algebra [Spring 2017, U. Utah]
- Partial Differential Equations for Engineers [Summer 2016 and Fall 2016, U. Utah]
- Calculus II for Biologists [Spring 2016, U. Utah]
- Calculus I for Biologists [Fall 2015, U. Utah]
- Differential Equations and Linear Algebra for Engineers [Fall 2013, U. Utah]
- College Algebra [Summer 2013, U. Utah]
- Intermediate Algebra [Spring 2013 and Spring 2014, U. Utah]
- Intro to Quantitative Reasoning [Fall 2012, U. Utah]

#### Scholarships and Opportunities for Students

__Scholarships that don’t require proof of citizenship or legal residency__

__Research Experiences for Undergraduates__

__UCLA Women in Math Mentorship Program__

#### LaTeX

__LaTeX Project Template (Overleaf)__

#### Resources for Historically Underserved Mathematicians

__Association for Women in Mathematics__

__Mathematically Gifted and Black__

__Lathisms — Latinxs and Hispanics in Math__

__Spectra — the Association for LGBTQ+ Mathematicians__

#### Other Professional Organizations

__Mathematical Association of America__

#### Teaching

__Making your teaching more inclusive__

__Video: Rehumanizing Mathematics__ (Rochelle Gutiérrez)

*Something missing? Contact me to let me know if there are other links I should add.*