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The 3rd International Conference on Boolean Algebra, Lattice Theory, Universal Algebra, Set Theory and Set-Theoretical Topology—BLAST 2010—was held at the University of Colorado at Boulder on June 2–6, 2010. The meeting brought together 70 researchers from Canada, Columbia, the Czech Republic, England, France, Germany, Hungary, Israel, Luxembourg, Mexico, Morocco, New Zealand, Pakistan, Russia, Serbia, and the United States. The aim of the BLAST conference series is to promote interaction between researchers from diverse areas related to the foundations of mathematics. The acronym BLAST emphasizes that research in Boolean algebra, lattice theory, universal algebra, set theory and set-theoretic topology are within the scope of the conference series, but past BLAST meetings have also highlighted other areas including algebraic logic, quantum logic and point-free topology. Plenary speakers at the 2010 conference included Mohamed Bekkali (Universite Sidi Mohamed Ben Abdellah), Ken Kunen (University of Wisconsin), Ralph McKenzie (Vanderbilt University), David Milovich (Texas A & M International University), Judith Roitman (University of Kansas), Grigor Sargsyan (UCLA), Juris Steprans (York University), and Friedrich Wehrung (Caen University). To encourage cross-disciplinary interaction, four multi-day minicourses were scheduled: Special ultraf ilters on countable sets by Andreas Blass (University of Michigan), Topological games by Gary Gruenhage (Auburn University), Locally moving groups and how they are used by Matatyahu Rubin (Ben-Gurion University), and Universal algebra, Mal’cev conditions, and f inite relational structures by Ross Willard (University of Waterloo).

The 3rd International Conference on Boolean Algebra, Lattice Theory, Universal Algebra, Set Theory and Set-theoretical Topology—BLAST 2010