The two volumes of Algebra, Arithmetic, and Geometry: In Honor of Y.I. Manin are composed of invited expository articles and extensions detailing Manin's contributions to the subjects, and are in celebration of his 70th birthday. The well-respected and distinguished contributors include: Behrend, Berkovich, Bost, Bressler, Calaque, Carlson, Chambert-Loir, Colombo, Connes, Consani, Dabrowski, Deninger, Dolgachev, Donaldson, Ekedahl, Elsenhans, Enriques, Etingof, Fock, Friedlander, Geemen, Getzler, Goncharov, Harris, Iskovskikh, Jahnel, Kaledin, Kapranov, Katz, Kaufmann, Kollár, Kontsevich, Looijenga, Marcolli, Markl, Merel, Merkulov, Movshev, Mukhin, Nekovar, Nikulin, Oort, Orlov, Pantchichkine, Penkov, Polishchuk, Sarnak, Schechtman, Ogievetsky, Tichomirov, Tsygan, van der Geer, Vasserot, Vishik, Voronov, Wodzicki, Zarhin, Zink.