I am an Assistant Professor of Mathematics at Mount Holyoke College. Previously I was an Ed Lorenz Postdoctoral Fellow at Bowdoin College, funded by MCRN. I graduated from the University of Minnesota with my PhD in Mathematics in July 2014.
Office Hour AppointmentsLink posted here soon
Dynamical Systems and applications of dynamical systems to physical problems; relative equilibria in the n-vortex problem from the perspective of Hamiltonian dynamical systems; bifurcations, tipping, and disturbance in dynamical systems, especially applications related to resilience and climate. I also know a tiny bit of computational algebraic geometry.
A gif to illustrate some of my dissertation research:
My advisor is Rick Moeckel.
One of my favorite collaborators is Anna Barry.
I did my postdoc with Mary Lou Zeeman.
PapersNichol, Kristin L., Kate Tummers, Alanna Hoyer-Leitzel, Jennifer Marsh, Matt Moynihan, and Steven McKelvey. "Modeling seasonal influenza outbreak in a closed college campus: impact of pre-season vaccination, in-season vaccination and holidays/breaks." PLoS One 5, no. 3 (2010): e9548.
Anna Barry and Alanna Hoyer-Leitzel. "Existence, Stability, and Symmetry of Relative Equilibria with a Dominant Vortex." SIAM Journal on Applied Dynamical Systems 15.4 (2016): 1783-1805.
(submitted for review) Alanna Hoyer-Leitzel, Alice Nadeau, Andrew Roberts, and Andrew Steyer. "Connections between rate-induced tipping and nonautonomous stability theory." arXiv:1702.02955
(In preparation) Katherine Meyer, Alanna Hoyer-Leitzel, Sarah Iams, Ian Klasky, Victoria Lee, Stephen Ligtenberg, Erika Bussmann, and Mary Lou Zeeman. "Quantifying resilience to recurrent ecosystem disturbances using flow-kick dynamics."
(submitted for review) Mary Lou Zeeman, Katherine Meyer, Erika Bussmann; Alanna Hoyer-Leitzel, Sarah Iams, Ian Klasky, Victoria Lee, and Stephen Ligtenberg. "Resilience of socially valued properties of natural systems to repeated disturbance: a framework to support value-laden management decisions."
Check out. . .
403 Clapp Lab
Department of Mathematics and Statistics
Mount Holyoke College
50 College Street
South Hadley, MA 01075
ahoyerle at mtholyoke dot edu