Scheepers This award will provide partial support for the featured speakers and also for some graduate students and other young mathematicians to attend the 1999, 2000, and 2001 BEST conferences, `BEST' being a deceptively lighthearted acronym for `Boise Extravaganzas in Set Theory,' a series of conferences devoted to one of the oldest and deepest topics in the Foundations of Mathematics. The general format will be to build each of the three-day conferences around four one-hour lectures by distinguished set theorists and to round out the program with shorter talks contributed by those attracted to the featured speakers. This strategy has been successful in the past---the series of conferences began in 1992---and participants are widely representative of set theoretic research across the U.S. and Canada, with increasing participation from countries overseas. Participation by younger mathematicians, by women, and by underrepresented minorities has been encouraged. The talks are held in barrier free classrooms at Boise State University, and efforts are made to accommodate special needs among the roughly twenty annual participants. The host institution provides office support and secretarial facilities without cost to the participants or to the government. ***