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IMA Special Workshop
Frontiers of Mathematics in Geosciences
March 5-7, 2001


Sponsored by the Divisions of Mathematical Sciences (DMS), Atmospheric Sciences (ATM), Earth Sciences (EAR) and Ocean Sciences (OCE), National Science Foundation

Organizers:

Louise Kellogg (chair) Earth Sciences, University of California, Davis lhkellogg@ucdavis.edu
Hal Caswell Ocean Science/Math. Ecology, Woods Hole Oceanographics Institute hcaswell@whoi.edu
Kelvin Droegemeier Atmospheric Science, University of Oklahoma kkd@ou.edu
Darryl Holm Mathematics, Los Alamos National Laboratories dholm@lanl.gov
Christopher K.R.T. Jones Applied Mathematics, Brown University cjones@whoi.edu
Doug Nychka Statistics, National Center for Atmospheric Research nychka@ucar.edu
Annick Pouquet Atmospheric Science, CNRS,Observatory of the Cote d'Azur pouquet@ucar.edu
Jim Rosenberger Statistics, Penn State University jlr@psu.edu
Dan Rothman Earth Science, MIT dan@segovia.mit.edu
Roger Samelson Ocean Science, Oregon State University rsamelson@oce.orst.edu
Don Turcotte Earth Science, Cornell University turcotte@geology.cornell.edu
Bruce Turkington Mathematics, University of Massachusetts turk@math.umass.edu

 

Description:     Mathematics is a fundamental tool of the geosciences, with many branches of the geosciences using sophisticated mathematics to address research problems. However, there is an increased need for communication among geoscientists and mathematicians to encourage the development of mathematical frontiers for geoscience research, to understand how mathematical methods can be applied across disciplinary boundaries in the geosciences, and to identify areas of the geosciences that could benefit from new developments in mathematics.

The aim of this workshop is to bring together scientists from the broad spectrum of disciplines within both geoscience and mathematics who are interested in a mathematical approach to geoscience problems.

The workshop has two goals:

(1) To identify geoscience research topics that would benefit from a sophisticated mathematical approach, or are likely to stimulate new mathematics research.

(2) To foster interdisciplinary communication among researchers who may potentially collaborate on mathematical and geoscience research topics and, in particular, to promote contacts between geoscientists and mathematicians.

The workshop will be structured so as to encourage cross-disciplinary communication, with many opportunities for discussion among participants.  We hope that one of the outcomes of the workshop will be to stimulate new research collaborations both in mathematics and in geosciences. One of NSF's hopes is that this program will provide an assessment of research opportunities that NSF can use for future programs.

The capacity of this workshop is limited.

The conference, a brainstorming meeting, will be organized around alternating plenary sessions and smaller breakout groups, with few talks. Among the topics to be discussed are:

- Theory, simulation, and visualization of systems with very large numbers of interacting components;

- Quantifying uncertainty in complex systems;

- Langrangian transport in geofluids;

- The dynamics of the geodynamo;

- Links between geostrophic and inertial turbulence;

- Mixing and stirring in geofluid systems;

- Analysis of sparse and intermittent data (and intermittency itself);

- The evolution of complex hydrological structure;

- Mathematical approaches to biogeochemical systems

WORKSHOP SCHEDULE
MONDAY, MARCH 5
All talks are in Lecture Hall EE/CS 3-180 unless otherwise noted.
8:30 am Coffee and Registration

Reception Room EE/CS 3-176

9:10 am Willard Miller, Fred Dulles, and Louise Kellogg Welcome and Introduction
9:30 am Michael Ghil
UCLA

Hilbert Problems for Earth's Fluid Envelope in the Next Decades

Slides

10:30 am Break Reception Room EE/CS 3-176
11:00 am-
12:00 pm

Neil Balmforth
University of California Santa Cruz

Some Perspectives on Applied Mathematics in the Geosciences
1:30 pm Peter Olson
Johns Hopkins University
Mathematical Perspectives for the Solid Earth
2:30 pm

Formation of Breakout Groups. Geoscience Themes

Breakout groups will be organized along broad themes, with a discussion facilitator and recorder identified for each group.

3:30 pm IMA Tea
A variety of appetizers and beverages will be served.
IMA East, 400 Lind Hall
4:00 pm Breakout Group Meetings Various Rooms
Evening: Informal discussion Lind Hall
TUESDAY, MARCH 6
All talks are in Lecture Hall EE/CS 3-180 unless otherwise noted.
8:15 am Coffee Lind Hall 400
8:30 am Breakout Group (cont'd.) Various Rooms
10:30 am Break Reception Room EE/CS 3-176
11:00am-
12:00 pm
Breakout Group Summaries and Open Discussion  
1:30 pm

Formation of new breakout groups.
Mathematical Topics

The second set of breakout groups will be organized along themes that cut across those that formed the first breakout groups. A new discussion facilitator and recorder will be identified for each group.

 
2:00 pm Breakout Group Meetings Various Rooms
3:30 pm Break Lind Hall 400
4:00 pm Breakout Group Meetings Various Rooms
Evening: Informal discussion Lind Hall
WEDNESDAY, MARCH 7
All talks are in Lecture Hall EE/CS 3-180 unless otherwise noted.
8:15 am Coffee Reception Room EE/CS 3-176
8:30 am

Stephen Meacham
&
Tom Fogwell

NSF

Frontiers of Mathematics in the Geosciences and the NSF Portfolio
9:00 am Breakout Group Summaries and Open Discussion  
10:00 am Break Reception Room EE/CS 3-176
10:30-11:30 am Overview and Conclusions  
Monday Tuesday

LIST OF CONFIRMED PARTICIPANTS

As of 3/6/2001
Name Department/Discipline Affiliation
David Archer Oceanic Sciences University of Chicago
Barbara Bailey Statistics University of Illnois
Neil Balmforth Mathematics University of California Santa Cruz
Sukanta Basu Civil Engineering University of Minnesota
Mark Berliner Statistics Ohio State University
Jim Berryman Earth Sciences Stanford University
Craig Bishop Atmospheric Sciences Pennsylvania State University
John Boyd Atmospheric Sciences University of Michigan
Roberto Camassa Mathematics University of North Carolina
George Carnevale Oceanic Sciences University of California, San Diego
Jagdish Chandra System Engineering George Washington University
Ping Chang Oceanic Sciences Texas A&M University
Shijyi Chen Mathematics Johns Hopkins University
Alan Clarke Oceanic Sciences Florida State University
Noel Cressie Statistics Ohio State University
Jinqiao Duan Applied Mathematics Illinois Institute of Technology
Fabien Dubuffet Minnesota Supercomputing Institute University of Minnesota
Gary Egbert Oceanic Sciences Oregon State University
Mark Everett Earth Sciences Texas A&M University
Gregory Eyink Mathematics University of Arizona
Thomas Fogwell Mathematical Sciences National Science Foundation
Efi Foufoula-Georgiou St. Anthony Falls Laboratory University of Minnesota
Montserrat Fuentes Statistics North Carolina State University
Scott Fulton Atmospheric Sciences Clarkson University
Dave Furbish Geological Sciences Florida State University
Andrei Gabrielov Earth Sciences Purdue University
Michael Ghil Atmospheric Sciences University of California, Los Angeles
Danny Grunbaum Mathematics University of Washington
Karl Helfrich Oceanic Sciences Woods Hole Oceanographic Institution
Frank S. Henyey Applied Physics Lab University of Washington
Catherine Hier Geophysics University of Minnesota
Darryl Holm Mathematics Los Alamos National Laboratories
Lou Howard Mathematics Florida State University
Glenn Ierley Oceanic and Mathematical Sciences University of California, San Diego
Andy Jackson Earth Sciences Leeds University
Chris Jones Mathematics Brown University
Mark Kaiser Statistics Iowa State
Bill Kamp Mathematics IAGP
Louise Kellogg Earth Sciences University of California, Davis
Richard Kleeman Mathematics New York University
Arlene Laing Atmospheric Sciences University of Southern Florida
Steve Meacham Ocean Sciences National Science Foundation
Igor Mezic Mathematics Harvard University
Marc Monnereau Laboratoire de Dynamique terrestre et Planetaire Observatoire Midi-Pyrenees, Toulouse
Doug Nychka Statistics National Center for Atmospheric Research
Peter Olson Earth Sciences Johns Hopkins University
Mina Ossiander Statistics Oregon State University
Mercedes Pascual Biology University of Michigan
Ray Pierrehumbert Atmospheric Sciences University of Chicago
Andrew Poje Mathematics City University of New York
Annick Pouquet Atmospheric Sciences CNRS
Robin Reichlin Earth Sciences National Science Foundation
Paul Roberts Mathematics University of California, Los Angeles
Roddy Rogers Atmospheric Sciences National Science Foundation
Jim Rosenberger Statistics Pennsylvania State University
Rich Rotunno Atmospheric Sciences NCAR
John Rundle Earth Sciences University of Colorado
Tom Russell Mathematics University of Colorado at Denver
Roger Samelson Ocean Sciences Oregon State University
Charlie Sammis Earth Sciences University of Southern California
Wayne Schubert Atmospheric Sciences Colorado State University
George Sell Mathematics University of Minnesota
Alan Shapiro Meteorology University of Oklahoma
Leslie Smith Mathematics University of Wisconisin-Madison
Roel Snieder Geophysics Colorado School of Mines
John Stufken Mathematical Sciences National Science Foundation
Kyle Swanson Atmospheric Sciences University of Wisconsin-Milwaukee
Paul Tackley Earth Sciences University of California, Los Angeles
Amit Tandon Ocean Sciences University of Massachusetts
Alan Thorndike Physics University of Puget Sound
Jeroen Tromp Earth Sciences California Institute of Technology
Ka-Kit Tung Atmospheric and Mathematical Sciences Unviersity of Washington
Don Turcotte Earth Sciences Cornell University
Bruce Turkington Mathematical Sciences University of Massachusetts
Ben Tustison Civil Engineering University of Minnesota
Geoff Vallis Oceanic and Atmospheric Sciences Princeton University
Brani Vidakovic Statistics Georgia Institute of Technology
Venugopal Vuruputur St. Anthony Falls Laboratory University of Minnesota
Shouhong Wang Mathematics Indiana University
Xiaoming Wang Mathematics Iowa State University
Renata Wentzcovitch Chemical Engineering & Materials Science University of Minnesota
Stephane Woerther Civil Engineering University of Minnesota
Paul Woodward Astronomy University of Minnesota
Bill Young Oceanic Sciences University of California, San Diego
David Yuen Earth Sciences University of Minnesota

 

Material from Talks/Breakout Groups

2000-2001 Mathematics in Multimedia

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