AIM math: American Institute of Mathematics  


  Quick links
upcoming workshops
past workshops
open problems
news
propose a workshop
apply for a workshop
5-year fellowship
newsletter
video of the castle
 
  Research activities
workshops, conferences, projects, SQuaREs, postdocs,...
   
  Math resources
preprints, open problems, library, free textbooks,...
   
  Outreach
teacher's circle, public talks, Morgan Hill math, math mardi gras, ...
   
  Math community
mentoring, grants, professional development,...
   
  Local information
library, facilities, transportation, hotel,...
   
  About AIM
staff, governance, sponsors, Morgan Hill, news,...
   
  Math Teachers' Circle

  Math Institutes

American Institute of Mathematics
360 Portage Ave
Palo Alto, CA 94306-2244

Contact Information

Directions to AIM

   
MPE Simons Public LectureMPE2013 logo

Dr Emily Shuckburgh, climate scientist at the British Antarctic Survey, will present a public lecture at the Palace of Fine Arts in San Francisco on March 4, 2013 at 7:30pm. This event is part of the MPE 2013 initiative, sponsored by the Simons Foundation, and hosted by MSRI, and AIM. Read more...


AWM Research Symposium 2013

The AWM is launching a new series of biennial research symposia. The first of these will take place March 16-17, 2013, at Santa Clara University and will showcase the research of women in the mathematical profession. It will feature three plenary talks, special sessions, poster sessions, and a panel discussion on the "imposter syndrome." Read more...



US launch of MPE2013! MPE2013 logo

The US launch of MPE2013 took place January 9, 2013, at the Joint Mathematics Meetings in San Diego, California. Read more...



Counterexample to Wall's conjecture
During the June 2012 AIM workshop, "Cohomology bounds and growth rates," a counterexample was found to a group theory conjecture formulated by G. E. Wall in 1961. The work involved a combination of theoretical work and computer calculations.
AIM Newsletter



Proposals for 2014-2015

The American Institute of Mathematics (AIM) hosts week-long focused workshops and SQuaREs in all areas of the mathematical sciences with the goal of developing productive collaborations.

The next call for proposals will be for workshops and SQuaREs to be held in 2014-2015. The application deadline is November 1, 2013.

Workshops support up to 28 participants, while SQuaREs bring together 4-6 researchers for a week of focused work in consecutive years. AIM provides full support for all participants, including travel, accommodation, and per-diem. Meetings take place at AIM in Palo Alto, California.

Upcoming workshops




Renewed NSF funding for AIM

AIM is the recipient of a five-year grant in the amount of $12.5 million from the National Science Foundation. This grant, which is part of the Mathematical Sciences Research Institutes program, will be used to support the participants of 100 workshops and 150 SQuaREs over the next 5 years.

"AIM is very pleased to be counted as one of the 8 NSF-funded math institutes in the U.S." said Executive Director Brian Conrey. Our innovative style of workshop has led to the development of some really interesting and important mathematics over the last five years. We are delighted with this vote of confidence from the National Science Foundation."

The SQuaREs program is a newer addition to the AIM programs. It supports teams of 4 researchers who have an ambitious three-year project. The team, or SQuaRE, visits AIM for an initial week to launch their project; they return a year later for a second week, and then get a third week amother year later. "The SQuaRE recipe really works", said Estelle Basor, AIM's Deputy Director who oversees the program. "The time-frame with the intense weeks followed by a long period to understand the ramifications of their work lead to really great results. The teams absolutely love this format!"

In addition to the research workshops and SQuaREs, AIM has pioneered the Math Teachers' Circle program. Math Teachers' Circles are communities of problem solvers populated by professional mathematicians and middle school math teachers who meet regularly to develop their skill and appreciation for the usefulness of mathematics as a logical basis for problem solving. This program, directed by AIM's Brianna Donaldson, features a website mathteacherscircle.org which is a significant resource for teachers and mathematicians alike. Nearly 50 Math Teachers' Circles nationwide have arisen as a result of AIM's efforts.

In the evaluation of the programs at AIM, NSF noted that AIM "plays a unique and valuable role within the US mathematical sciences research institutes," was impressed by "the commitment of AIM's staff to the institute's mission and methods" and was "uniformly impressed with AIM's commitment to diversity."




Introducing the knowl:
better browsing on the Web

The American Institute of Mathematics (AIM) is pleased to introduce a new tool to the world of web pages - the knowl. Like the familiar hyperlink, knowls can be used to provide relevant, supplementary information and are referenced from within the body of a web page. But unlike the hyperlink, which simply takes you to a new web page, the knowl conveniently serves up the information at your original location with the click of a mouse button. With a similar click, the knowl then disappears.

"The self-contained nature of knowls makes them useful in many different settings. They can be thought of as 'building blocks' that can be called upon when needed. I envision a time when the Internet has a repository of such knowls, reliable and ready to be referenced anywhere." says David Farmer, Director of Programs at AIM.

Knowls were developed to support research projects in advanced mathematics, but they can be easily incorporated to enhance any website. Knowls creator Harald Schilly noted, "The technology for knowls is at least 10 years old, and the theoretical basis, known as transclusion, is more than 50 years old. Our contribution is to provide an interface that fits the way people browse the Web today."

In addition to the examples in the paragraphs above, AIM has prepared a demonstration page with knowls for Rob Beezer's free textbook on Linear Algebra.

The mathematics research projects which led to the development of knowls were funded by the Division of Mathematical Sciences at the National Science Foundation.

Read about how to add knowls to your own website




Math Teachers' Circles

In June at AIM, teams of middle school teachers and mathematicians from around the U.S. participated in a workshop on "How to Run a Math Teachers' Circle." Math Teachers' Circles are groups of teachers and research mathematicians who meet regularly to work on mathematically rich problems. The intent is to develop teachers' mathematical problem-solving skills and confidence in approaching difficult problems while connecting them with the larger mathematical community.

One example of a Math Teachers' Circle problem is featured in this week's Numberplay blog by Gary Antonick on NYTimes.com. This particular type of problem, called a "Mad Vet" scenario, can be used to explore questions in abstract algebra and graph theory, as described in an article by Gene Abrams and Jessica K. Sklar that appeared in the June 2010 issue of Mathematics Magazine.

During this workshop, teams participated in example Math Teachers' Circle sessions and developed detailed plans for starting and sustaining their own Math Teachers' Circle. The participating teams were from Columbia, South Carolina; Eau Claire, Wisconsin; Greeley, Colorado; Richmond, Kentucky; San Diego, California; and Winston-Salem, North Carolina. Their new Math Teachers' Circles will begin meeting by Summer 2012.

The first Math Teachers' Circle began at AIM in 2006, and since then the series of "How to Run a Math Teachers' Circle" workshops has helped develop a network of 31 Math Teachers' Circles in 20 states. The Math Teachers' Circle Network, based at AIM, provides mathematical and logistical resources to this growing community.




Sustainability Problems

In January, 2011, AIM brought together mathematicians, graduate students, and industry and public agency representatives to work on a variety of sustainability problems, including renewable energy, air quality, water management, and other environmental issues.

For more details, please see the announcement page.




Tellabs supports math teachers

The American Institute of Mathematics (AIM) has been awarded a grant from the Tellabs Foundation to support a workshop for middle school math teachers. The teachers will join the AIM Math Teachers' Circle, which connects teachers with mathematicians to work on mathematical problem solving.
Read more...




A Trillion Triangles

Mathematicians from North America, Europe, Australia, and South America have resolved the first one trillion cases of an ancient mathematics problem. The advance was made possible by a clever technique for multiplying large numbers. The numbers involved are so enormous that if their digits were written out by hand they would stretch to the moon and back. The biggest challenge was that these numbers could not even fit into the main memory of the available computers, so the researchers had to make extensive use of the computers' hard drives.
Read more... Versión en español





AIM receives major funding from Fry's Electronics and the NSF.