I’m Bianca Thompson and am currently an associate professor at Westminster University. I am a graduate of UH Mānoa (PhD in mathematics) and Wellesley College (BA in mathematics). 

My research is at the intersection of number theory and discrete dynamical systems. Here are some arxiv links to some of my papers and where they appear:

• M. Chara, S. Kottler, B. Malmskog, B. Thompson, and M. West, “Minimum Distance and Parameter Ranges of Locally Recoverable Codes with Availability from Fiber Products of Curves.” Designs, Codes and Cryptography, accepted, 2022.
• E. Goedhart, M. Brucal-Hallare, R. Riley, V. Sharma, B. Thompson, “Solving quadratic and cubic Diophantine equations using 2-adic valuation trees.” Rocky Mountain Journal, 2023, to appear.
• Z. Bell, J. Camero, Karina Cho, T. Hyde, C. Lu, R.Miller, B. Thompson, E. Zhu, “Density of Periodic Points for Lattès maps over finite fields.” Journal of Number Theory, 10.1016/j.jnt.2021.10.009, 2021.
• O. Kozhushkina, M. Brucal Hallare, J. Long, V. H. Moll, J. Pedjeu, B. Thompson, and J. Trulen “The valuation tree for n^2+ 7,” Series A, Volume 30 (2020), 91-102.
• X. Faber, B. Thompson “On the field of definition of a cubic rational function and its critical points,” Journal of Number Theory, 2016.
• M. Manes, B. Thompson “Periodic points in towers of finite fields for polynomials associated to algebraic groups,” Rocky Mountain Journal of Mathematics, 2018.
• A. Levy, M. Manes, B. Thompson “Uniform bounds for pre-periodic points in families of twists,” Proceedings of the American Mathematical Society 142 (2014), 3075-3088.
• J. Juul, H. Krieger, N. Looper, M. Manes, B. Thompson, L. Walton. “Arboreal representations for rational maps with few critical points,” Women in Number Vol 4, 2018.

Creating an inclusive environment is important to me. I want students to know that they belong here and I do everything I can to make that happen. Have any resources you like to share with me to accomplish this, feel free to send them to me at bthompson [at] westminsteru [dot] edu!

I want to help share opportunities with students from underrepresented groups. I co-advise or SACNAS chapter at Westminster and I have become an Alliance undergraduate mentor and my information can be found here: https://mathalliance.org/mentor/bianca-thompson/.

My current hobbies include reading fantasy novels, playing dungeons and dragons, and learning 14th century long sword in the Schola Saint George. To find out more about swords here’s the website: SSG.