The camp will provide an intensive learning environment in mathematics, where high school students will learn not only useful mathematical facts, but also how to approach mathematical problems, prove mathematical statements, and write the results. Morning lectures will be given under the general name "Algebraic challenges," which will introduce students to a variety of interrelated topics of number theory, algebra, combinatorics, and their applications. The lectures will only provide introductions and pointers, while most of technical work will be done by students, under counselors' guidance, when solving the daily sets of problems. A problem session and/or a guest lecture will be given in the afternoon (except weekends). Group meetings will be held in each student group in the evening. Guest lectures by the TAMU faculty will be of expository nature and will address a variety of topics from mathematics and its applications.