I’ll discuss the use of operator splitting as the basis for numerically solving ODEs or PDEs with some concrete examples. Along the way, we’ll stumble into a lot of linear algebra and a teensy bit of Lie theory.

I’m currently a 5th year graduate student in the mathematical biology research program. Later this year, I’ll start a postdoc at the Courant Institute.

My interests center around using mathematics to understand how biological systems function *because* of **randomness**, rather than in spite of it. One such example (and my primary biological focus) is the utilization of **molecular motors.**
Work I have done in this realm includes:

- analysis of
**metastable switching**in populations of motors; - development of theory to study state-dependent
**jump-diffusion processes**; **collaboration with experimentalists**to understand motor-driven transport data.

Analysis of non-processive molecular motor transport using renewal reward theory.
submitted,
2017.

Complex nearly immotile behavior of microtubule-associated cargos.
submitted,
2017.

I’ll discuss the use of operator splitting as the basis for numerically solving ODEs or PDEs with some concrete examples. Along the way, we’ll stumble into a lot of linear algebra and a teensy bit of Lie theory.

In this post, I’ll discuss some recent explanations for anomalous, yet Gaussian diffusion, including diffusing diffusivities and stochastic subordination.

- miles@math.utah.edu
- LCB (LeRoy Cowles Building) 326, Salt Lake City, UT