Research Interests

McGehee students past and present attending the 2018 Midwest Dynamical Systems Conference

I'm interested in applied dynamical systems, especially with regard to applications in climate. Recently, I have been intrigued by rate-dependent critical transitions in nonautonomous dynamical systems. In particular, I'm interested in how solutions to systems change when a parameter evolves continuously in time at increasing rates.

I conducted my graduate work with Richard McGehee. This work focused on the mathematical challenges in adapting conceptual climate models to other planets, particularly, the role of sunlight distribution across a planet's surface. In the academic year of 2016-2017, I had and Interdisciplinary Doctoral Fellowship at the Institute on the Environment to study the effect of peatland growth since the Last Glacial Maximum on atmospheric carbon dioxide. Althought the growth of peatlands after glacial retreat is well understood, how this growth affected the global carbon cycle, especially the carbon in the atmosphere, is not known. I am developing a new data analysis algorithm to illustrate this interaction between the peatlands and the cabon cycle.

My research statement goes into deeper details of my research interests. If you're interested in my work, please don't hesitate to contact me by email!

Publications

"Stable asymmetric ice belts in a energy balance model of Pluto," A. Nadeau and E. Jaschke, Icarus. 331: 2019. p. 15-25
"A simple formula for calculating a planet's mean annual insolation by latitude," A. Nadeau and R. McGehee, Icarus. 291: 2017. p. 46-50
"Folding Concave Polygons into Convex Polyhedra: The L-Shape," E. Dinan, A. Nadeau, I. Odegard, K. Hartshorn, Rose-Hulman Undergraduate Mathematics Journal. June 2015.
"Multiplicative Partitions," M. Chamberland, C. Johnson, A. Nadeau, and B. Wu, The Electronic Journal of Combinatorics. 20(2). 2013.

Selected Invited Presentations

"Mathematical considerations for adapting conceptual climate models to other planets," A. Nadeau. Midwest Dynamical Systems Conference. Nov. 2018.
"Mapping and Tracking Pluto's Nitrogen Glaciers," A. Nadeau. Center for Applied Mathematics Colloquium. University of St. Thomas, St. Paul, MN. Oct. 2018.
"Detecting Rate-Induced Tipping in an Ecological Resource-Consumer Model," A. Hoyer-Leitzel, A. Nadeau (presenter), A. Roberts, and A. Steyer, SIAM Conference on Mathematics of Planet Earth. Sept. 2018.

Preprints

"Determining constraints on the carbon budget with a new method of carbon isotope data analysis," A. Nadeau, R. McGehee, C. Lehamn, and E. Gorham, Under review at Quaternary Science Reviews. Oct. 2018.
"Connections between rate induced tipping and nonautonomous stability," A. Hoyer-Leitzel, A. Nadeau, A. Roberts, and A. Steyer, arXiv. 2017.
"Mathematical Challenges in High-throughput Microcalorimeter Spectroscopy," B. Alpert, V. Morissette-Thomas, A. Nadeau, L. Proulx, Y. Wei, H. Zhu, J. Zhu, IMA Preprint Series. 2435.