[1] Manin, Ju. I. 1963 Rational points on algebraic curves over function fields Izv. Akad. Nauk SSSR Ser. Mat. 27 1395–1440 English: AMS Translations, Ser. 2, 50 (1966), 189–234.
[2] Manin, Ju. I. 1968 Correspondences, motives and monoidal transformations (in Russian) Mat. Sb. 77 475–507 English: Math USSR-Sb., 6 (1968).
[3] Iskovskih, V. A., Manin, Ju. I. 1971 Three-dimensional quartics and counterexamples to the Lüroth problem Mat. Sb. (N.S.) 86 128 140–166 English: Math. USSR-Sbornik, 15 (1972), 141–166.
[4] Manin, Y. I., Le groupe de Brauer–Grothendieck en géométrie diophantienne, Actes du Congr. International des Mathmaticiens 1 (Nice, 1970), Gauthier-Villars (Paris, 1971), pp. 401–411.
[5] Franke, J., Manin, Yu. I., Tschinkel, Yu. 1989 Rational points of bounded height on Fano varieties Invent. Math. 95 421–435 .
[6] Batyrev, V. V., Manin, Yu. I. 1990 Sur le nombre des points rationnels de hauteur borné des variétés algébriques Math. Ann. 286 27–43 .
[7] Manin, Ju. I. 1972 Parabolic points and zeta functions of modular curves Izv. Akad. Nauk SSSR Ser. Mat. 36 19–66 English: Math USSR Izvestija, 6 (1972), 19–64.
[8] Manin, Ju. I., Modular forms and number theory, in: Proceedings of the International Congress of Mathematicians (Helsinki, 1978), Acad. Sci. Fennica (Helsinki, 1980), pp. 177–186.
[9] Manin, Yu. I. 2006 Iterated integrals of modular forms and noncommutative modular symbols Algebraic Geometry and Number Theory Progr. Math. 253 Birkhäuser Boston Boston, MA 565–597 .
[10] Manin, Yu. I. 1986 The partition function of the Polyakov string can be expressed in terms of theta-functions Phys. Lett. B 172 184–185 .
[11] Kontsevich, M. and Manin, Yu., Gromov-Witten classes, quantum cohomology, and enumerative geometry. Mirror symmetry, II, AMS/IP Stud. Adv. Math. 1, Amer. Math. Soc. (Providence, RI, 1997), pp. 607–653.
[12] Atiyah, M. F., Hitchin, N. J., Drinfeld, V. G., Manin, Yu. I. 1978 Construction of instantons Phys. Lett. A 65 185–187 .
[13] Manin, Yu. I. 1988 Quantum Groups and Noncommutative Geometry Université de Montreal, Centre de Recherches Mathématiques Montreal.
[14] Manin, Yu. I. 1999 Frobenius Manifolds, Quantum Cohomology, and Moduli Spaces American Mathematical Society Colloquium Publications 47 American Mathematical Society Providence, RI.