AIM hosts focused workshops in all areas of the mathematical sciences. AIM focused workshops are distinguished by their emphasis on a specific mathematical goal, such as making progress on a significant unsolved problem, understanding the proof of an important new result, or examining the convergence of two distinct areas of mathematics.

AIM focused workshops provide an ideal forum for a team of researchers working together to map out strategies, set priorities, work toward a solution, and set in place a framework for progress on important mathematical problems. The leaders in each field are involved in the planning of the workshops, and junior scientists and graduate students are active participants. Special attention is devoted to facilitate collaborations which include women, minorities, and researchers at primarily undergraduate institutions.

AIM has developed a particular approach to mathematics research workshops. This has been developed by trial-and-error over the course of more than 200 workshops. The approach is intended as an alternative, not a replacement, to the workshops held at other centers.

**The daily schedule: ** There are two talks each day: both are in the morning, with a long break in between. The lunch break is for 1 1/2 hours, beginning whenever the second talk ends. The presentations are intended to be informal, with lots of questions and answers during the talks. The talks tend to be introductory, serving as preparation for the afternoon activities; they usually are not about "my latest big theorem."

There are no talks in the afternoon. The afternoons are devoted to organized group activities. This could involve a large group discussion or breaking into smaller discussion groups. Typical Monday afternoon discussions could involve the entire group discussing possible activities for the week, or preparing a problem list, or making a list of basic notions which will help people from different areas to better communicate.

The participants typically break into groups of 4 to 6 people to work on specific topics of interest. Example topics include: understanding the details of a difficult proof or construction, discussing possible approaches to a problem, an "ask the expert" session, or beginning work on a problem which will continue long after the workshop ends. Each group gives a brief report to the entire workshop at the beginning of the next afternoon. Some group topics are repeated multiple times during the week, while others occur only once.

The AIM staff work with the organizers to determine an appropriate mechanism for selecting topics so that everyone has a group which interests them, but with a minimum of overlap so that people don't miss out on a topic of particular interest. In some cases the organizers prepare a list of topics, and in others the entire group has a long discussion leading to a selection of group topics.

**The weekly schedule: ** Workshops run Monday-Friday, 9:00am to 5:00pm each day, with a 1 1/2-hour lunch break. Tuesday evening there is a reception. Breakfast is served every day at 8:30 (coffee is available earlier) and at 4:30 every day we have 'happy hour.' Workshop participants are welcome to arrive as early or stay as late as they wish. There are no afternoons off.

**The planning: ** Only the first 5 or 6 talks are determined in advance, and that decision is made about a month before the workshop. *No other scheduling decisions are made prior to the workshop.*

The afternoon activities are determined in the late morning or during lunch each day, and the speakers on the later days of the workshop are only decided one or two days in advance. Because of its fluid nature, each day's schedule is only announced on the previous afternoon.

**The facility: ** The current AIM site has a large central room with library, food, and sitting areas, with the main lecture space at one end. Offices and seminar rooms come directly off the main room. The lecture area has three large whiteboards, overhead projectors, and a computer projector. There is wireless internet throughout the facility, and a small number of public computers, copiers, and printers. The main room and the seminar rooms can accommodate up to 6 simultaneous working groups of various sizes.

**The logistics: ** The AIM staff works with the organizers on all aspects of the workshop planning and preparation. This includes the development of the participant list, preparation of lead-in material, and the planning the workshop activities. Many organizers have little previous experience with this style of workshop (particularly the fact that the schedule is determined on an ongoing basis during the workshop), so the AIM staff works closely with the organizers both before and during the workshop. The administrative logistics, such as sending invitations, keeping track of who has accepted or declined, etc, is handled by the AIM staff.