
Geometric Dynamical Systems: Manifolds and Stability Part I
04 May 2016  Presentations  Contributor(s): Laura Slivinski
This is the first part of a series of dynamical systems lectures on the center, stable and unstable manifold theorems. This short lecture series was part of the MCRN Mathematics of Climate Modelling Course taught at the University of North Carolina by Chris Jones in 2013. This course was a...

Chaotic Dynamical Systems: the Horseshoe Map
04 May 2016  Presentations  Contributor(s): Laura Slivinski
This is the second part of a series of lectures on chaotic dynamics, and focuses on the Horseshoe Map. This short lecture series was part of the MCRN Mathematics of Climate Modelling Course taught at the University of North Carolina by Chris Jones in 2013. This course was a second year graduate...

Chaotic Dynamical Systems: the Bernoulli Shift
04 May 2016  Presentations  Contributor(s): Laura Slivinski
This is the first part of a series of lectures on chaotic dynamics, and focuses on the Bernoulli shift. This short lecture series was part of the MCRN Mathematics of Climate Modelling Course taught at the University of North Carolina by Chris Jones in 2013. This course was a second year...

Geometric Dynamical Systems: Manifolds and Stability Part III
04 May 2016  Presentations  Contributor(s): Laura Slivinski
This is the final part of a series of dynamical systems lectures on the center, stable and unstable manifold theorems. This is background lecture 3.1C for the Mathematics of Climate Modelling course.

Geometric Dynamical Systems: Manifolds and Stability Part II
04 May 2016  Presentations  Contributor(s): Laura Slivinski
This is the second part of a series of dynamical systems lectures on the center, stable and unstable manifold theorems. This is background lecture 3.1B for the Mathematics of Climate Modelling course.

Deriving the SWM Lecture 3: Barotropic Vorticity Equations
04 May 2016  Presentations  Contributor(s): Laura Slivinski
This lecture develops the barotropic vorticity equations for the shallow water model. This is background lecture 2.1C in the Mathematics of Climate Modelling course.

Deriving the SWM Lecture 2: Stream Functions for Velocity Fields
04 May 2016  Presentations  Contributor(s): Laura Slivinski
This lecture develops the formulation of the stream function for the velocity field of the shallow water equation. his is the second in a series of short lectures on deriving the shallow water model, given by Chris Jones in 2013.

Deriving the SWM Lecture 1: Conservation of Potential Vorticity
04 May 2016  Presentations  Contributor(s): Laura Slivinski
This lecture develops the conservation equation for potential vorticity in the shallow water model.

Vegetation patterns in mathematical models, and vegetation patterns in Horn of Africa
21 Apr 2016  Presentations
Visually striking largescale spatial patterns of vegetation have been observed in semiarid regions in the Americas, Africa and Australia. These have led to suggestions by theoretical ecologists that certain characteristics of the patterns may serve as earlywarning signs of desertification....

Local and nonlocal mechanisms of Arctic warming
25 Feb 2016  Presentations
Polar amplification (PA) is a prominent feature of currently observed and predicted future climate change suggested by both observations and models. We will discuss several PA mechanisms and feedbacks in the ocean and the atmosphere suggested by different researchers and connect it to the real...

New averaging results motivated by climate models: fat tails, oscillations, and tipping
10 Dec 2015  Presentations
We review recent results where new averaging approaches are developed and applied in the context of systems with multiple time scales and fat tails and in nonautonomous multiple scale systems with oscillatory forcing. These types of systems appear in a variety of higher dimensional...

Jafarov Seminar
30 Nov 2015  Presentations
Dr. Elchin Jafarov is a research associate at the National Snow and Ice Data Center, at the Cooperative Institute for Research in Environmental Sciences, University of Colorado Boulder. He has a PhD in Geophysics and a masters degree in Mathematics both from the University of Alaska Fairbanks....

Where's the Math in Climate Science?
09 Nov 2015  Presentations  Contributor(s): Laura Slivinski
Abstract: Climate science is dominated by the use of largescale models, of which there are only 30 or so around the world. It might then seem that the need for mathematics is limited to areas that directly support the operation of such models. I will explain, by digging into the way the models...

Tipping points and power cuts
18 Jun 2015  Presentations

Who, or what, will tip the big climate models?
18 Jun 2015  Presentations

ICMS Tipping Points: Fundamentals and Applications
13 Jun 2015  Workshops
Objectives: This workshop (September, 2013) brings together mathematicians and statisticians, whose research expertise is relevant to investigating threshold behaviour in complex environmental systems, with the climate scientists and ecologists who exploit mathematical modelling in their research...

Orbital Forcing and Ice Age
02 Jun 2015  Educational Materials
Annotated Bibliography by Daniel Koll

Midwest Mathematics and Climate Conference  Day 2 Afternoon Session
12 May 2015  Presentations  Contributor(s): Laura Slivinski
Charles Jackson, University of Texas, AustinDualstate Behavior of the Community Climate System ModelIce age climate between 80,000 and 11,000 years ago experienced abrupt (< 10 year) globalscale climate transitions every few thousand years. Evidence and theory suggests such behavior may be...

Midwest Mathematics and Climate Conference  Day 2 Afternoon Session
12 May 2015  Presentations
Charles Jackson, University of Texas, AustinDualstate Behavior of the Community Climate System ModelIce age climate between 80,000 and 11,000 years ago experienced abrupt (< 10 year) globalscale climate transitions every few thousand years. Evidence and theory suggests such behavior may be...

Midwest Mathematics and Climate Conference  Day 3 Afternoon Session
12 May 2015  Presentations  Contributor(s): Laura Slivinski
Mary Silber, Northwestern UniversityPattern Formation in the Drylands: Self Organization in SemiArid EcosystemsMuch of our understanding of spontaneous pattern formation in spatially extended systems was developed in the “wetlands" of fluid mechanics. That setting allowed...