Communications

The Einstein Public Lecture in Mathematics

WHAT IS...a Lefschetz Pencil?
Robert E. Gompf

The IAS School of Mathematics at 75
Susan Friedlander and Mark Goresky

Mathematics by Experiment and Experimentation in Mathematics--A Book Review
Reviewed by Jeffrey Shallit

Knots for Everyone: The Knot Book--A Book Review
Alexey Sossinsky

Wiles Receives 2005 Shaw Prize

2004 Survey of the Mathematical Sciences (Third Report)
Ellen E. Kirkman, James W. Maxwell, and Colleen A. Rose

From the AMS Secretary

2005 American Mathematical Society Election--Special Section

Nominations for President Elect

Biographies of Candidates 2005

Call for Suggestions

2006 AMS Election--Nominations by Petition

Call for Applications for Mathematical Reviews Associate Editor Position

Feature Articles

article graphic

Mathematics, Biology, and Physics: Interactions and Interdependence
Michael C. Mackey and Moisés Santillán
The authors review some of the historical relation between physics, mathematics, and the biological sciences and consider the future role of this interaction.


Teaching Mathematics Graduate Students How to Teach
Solomon Friedberg
The author reports on some experiences in teaching mathematics graduate students how to teach, in particular by using a case study method.


Manifolds with Density
Frank Morgan
The subject is Riemannian manifolds whose volume and area elements are weighted by a density function; an example is Euclidean space weighted by the Gaussian probability density function, which is known as Gauss space and used in the study of Brownian motion. The author considers the generalization to these manifolds of volume estimates and isoperimetric inequalities.

Departments

Commentary
Opinion: "What Mathematics is Required to Make use of Genomic Data?" - Jennifer Slimowitz and Scott Weidman, Board on Mathematical Sciences and Their Applications, National Research Council
Letters to the Editor

Mathematics People
Varga Awarded Hans Schneider Prize / Ben Green Awarded 2005 Salem Prize / 2005 AMS Menger Awards / Royal Society of London Elections / Humboldt Foundation Research Awards

Mathematics Opportunities
American Mathematical Society Centennial Fellowships / NSA Grant and Sabbatical Programs / Distinguished International Postdoctoral Research / NSF International Research Fellow Awards / NSF Graduate Fellowships / Travel Grants for ICM 2006, Madrid / AWM Travel Grants for Women / Research Experiences for Undergraduates / DMS Special Meetings Competition

Inside the AMS
Ellen Maycock Joins AMS Executive Staff, AMS Advocates Research Funding,

Reference and Book List

Backlog of Mathematics Research Journals

Stipends for Study and Travel

Mathematics Calendar

New Publications Offered by the AMS

ICM2006 Travel Grant Application

Mathematical Sciences Employment Center in San Antonio

Call for Proposals for 2007 von Neumann Symposium

Meetings and Conferences

Meetings and Conferences Table of Contents