Boris Kunyavskii

*On tori with a biquadratic splitting field*, Izv. Akad. Nauk SSSR Ser. Mat.**42**(1978), 580-587 = Math. USSR Izv.**12**(1978), 536-542.*On the birational classification of tori of small dimensions*, Seminar on Arithmetic of Algebraic Varieties, Saratov, 1979, 37-42. (Russian).*Resolutions for the character modules of algebraic tori*, Approx. Methods in Math. Phys., Saratov, 1980, 88-92. (Russian).*Birational and arithmetical properties of three-dimensional algebraic tori*, Preprint deposited at VINITI 19.10.81, no.4746-81, 25p. (Russian).*Tori splitting over a Galois extension with group*, Studies in Number Theory, vol.8, Saratov, 1982, 72-74. (Russian).*S*_{3}*Arithmetical properties of three-dimensional algebraic tori*, Integral Representations and Finite Linear Groups (Zap. Nauch. Sem. LOMI**116**(1982), 102-107 = J. Sov. Math.**26**(1984), 1898-1901.- (with M.A. Tsfasman).
*On the Néron-Severi torus of a rational surface*, Uspekhi Mat. Nauk**37**(1982), no.4, 163-164 = Russian Math. Surveys**37**(1982), no.4, 121-122. *Birational classification of three-dimensional algebraic tori*, Preprint deposited at VINITI 16.04.83, no.1784-83. 46p. (Russian).- (with V.E. Voskresenskii).
*Maximal tori in semisimple algebraic groups*, Preprint deposited at VINITI 15.03.84, no.1269-84. 28p. (Russian). - (with M.A. Tsfasman).
*Zero-cycles on rational surfaces and Néron-Severi tori*, Izv. Akad. Nauk SSSR Ser. Mat.**48**(1984), 631-654 = Math. USSR Izv.**24**(1985), 583-603. - (with A.N. Skorobogatov and M.A. Tsfasman).
*Combinatorics and geometry of Del Pezzo surfaces of degree four*, Uspekhi Mat. Nauk**40**(1985), no.6, 145-146 = Russian Math. Surveys**40**(1985), no.6, 131-132. - (with A.N. Skorobogatov).
*Maximal tori in semisimple algebraic groups and rational surfaces*, Uspekhi Mat. Nauk**41**(1986), no.4, 217-218 = Russian Math. Surveys**41**(1986), no.4, 177-178. *Three-dimensional algebraic tori*, Studies in Number Theory, vol.9, Saratov, 1987, 90-111 = Selecta Math. Sov.**21**(1990), 1-21.*On the Hasse norm principle*, Arithmetic and Geometry of Varieties, Kuibyshev, 1988, 83-86. (Russian).*Splitting fields of rational surfaces*, Arithmetic and Geometry of Varieties, Kuibyshev, 1989. (Russian).- (with A.N. Skorobogatov and M.A. Tsfasman).
Del Pezzo Surfaces of Degree Four , Mem. Soc. Math. France, 1989, no.37, 113p. - (with A.N. Skorobogatov).
*A criterion for weak approximation on linear algebraic groups*, Progress in Math.**91**, Birkhäuser, 1990, 215-219. - (with A.N. Skorobogatov).
*Weak approximation in algebraic groups and homogeneous spaces*, Contemp. Math.**131**(1992), Part 3, 447-451. *Sphere packings centered at S-units of algebraic tori*, Coding Theory and Algebraic Geometry, Lecture Notes in Math.**1518**, Springer, 1992, 108-121.*Espaces homogènes sphériques: approximation faible et principe de Hasse*, Progress in Math.**116**, Birkhäuser, 1993, 63-71.*The scheme of connected components of the Néron-Raynaud model of an algebraic torus*, Math. Göttingensis**39**(1995), 1-4.- (with M. Borovoi).
*Spherical spaces for which the Hasse principle and weak approximation fail*, Collectanea Math.**48**(1997), 41-52. - (with J.-J. Sansuc).
*Un problème inverse pour la réduction des groupes algébriques commutatifs*, C. R. Acad. Sci. Paris Sér. I**324**(1997), 307-312. - (with J.-L. Colliot-Thélène).
*Groupe de Brauer non ramifié des espaces principaux homogènes des groupes linéaires*, J. Ramanujan Math. Soc.**13**(1998), 37-49. - (with B.Z. Moroz).
*On integral models of affine toric varieties*, Trudy SPMO**7**(1999), 116-123; English transl. in Proc. St. Petersburg Math. Soc., vol. VII, Amer. Math. Soc. Translations - Ser. 2**203**, Amer. Math. Soc., Providence, RI, 2001, pp. 99-105. - (with A. Cortella).
*Rationality problem for generic tori in simple groups*, J. of Algebra**225**(2000), 771-793. - (with M. Borovoi).
*Formulas for the unramified Brauer group of a principal homogeneous space of a linear algebraic group*, J. of Algebra**225**(2000), 804-821. - (with F. Grunewald, D. Nikolova and E. Plotkin).
*Two-variable identities in groups and Lie algebras*, Zap. Nauch. Semin. POMI**272**(2000), 161-176 = J. Math. Sci. (New York)**116**(2003), 2972-2981. - (with J.-J. Sansuc).
*Réduction des groupes algébriques commutatifs*, J. Math. Soc. Japan**53**(2001), 457-483. - (with M. Borovoi).
*Brauer equivalence in a homogeneous space with connected stabilizer*, Michigan Math. J.**49**(2001), 197-205. - (with B.Z. Moroz and V.E. Voskresenskii).
*On integral models of algebraic tori*, Algebra i Analiz**14**(2002), no.1, 46-70; English transl. in St. Petersburg Math. J.**14**(2003), 35-52. - (with E. Plotkin and R. Shklyar).
*A strategy for human-computer study of equations and identities in finite groups*, Proc. Latvian Acad. Sci., Sec. B,**57**(2003), no. 3/4, 97-101. - (with T. Bandman, G.-M. Greuel, F. Grunewald, G. Pfister, and E. Plotkin).
*Two-variable identities for finite solvable groups*, C.R. Acad. Sci. Paris, Sér. A**337**(2003), 581-586. - (with M. Borovoi and an appendix by P. Gille).
*Arithmetical birational invariants of linear algebraic groups over two-dimensional geometric fields*, J. of Algebra**276**(2004), 292-339. - (with L.H. Rowen, S.V. Tikhonov, and V.I. Yanchevskii).
*Bicyclic algebras of prime exponent over function fields*, Trans. Amer. Math. Soc.**358**(2006), 2579-2610. - (with L.H. Rowen, S.V. Tikhonov, and V.I. Yanchevskii).
*Division algebras ramified on a plane quartic curve*, Proc. Amer. Math. Soc.**134**(2006), 921-929. - (with T. Bandman, G.-M. Greuel, F. Grunewald, G. Pfister, and E. Plotkin).
*Identities for finite solvable groups and equations in finite simple groups*, Compositio Math.**142**(2006), 734-764. - (with T. Bandman, M. Borovoi, F. Grunewald, and E. Plotkin).
*Engel-like characterization of radicals in finite dimensional Lie algebras and finite groups*, Manuscripta Math.**119**(2006), 365-381. - (with J.-L. Colliot-Thélène).
*Groupe de Brauer et groupe de Picard des compactifications lisses d'espaces homogènes,*J. Algebraic Geom.**15**(2006), 733-752. - (with R. Guralnick, E. Plotkin, and A. Shalev).
*Thompson-like characterization of radicals in groups and Lie algebras*, J. Algebra**300**(2006), 363-375. - (with N. Gordeev, F. Grunewald, and E. Plotkin).
*On the number of conjugates defining the solvable radical of a finite group*, C. R. Acad. Sci. Paris, Sér. I**343**(2006), 387-392. - (with B.Z. Moroz).
*On integral models of algebraic tori and affine toric varieties*, Trudy SPMO**13**(2007), 97-119; English transl. in Proc. St. Petersburg Math. Soc., vol. XIII, Amer. Math. Soc. Translations - Ser. 2**222**, Amer. Math. Soc., Providence, RI, pp. 75-92. -
*Algebraic tori — thirty years after*, Vestnik Samara State Univ. (2007), no. 7, 198-214. - (with N. Gordeev, F. Grunewald, and E. Plotkin).
*A commutator description of the solvable radical of a finite group*, Groups, Geometry, and Dynamics**2**(2008), 85-120. - (with M. A. Tsfasman).
*Brauer-Siegel theorem for elliptic surfaces*, Internat. Math. Res. Notices**2008**, no. 8, article ID rnn009, 9 pages;*Erratum,**ibid.***2010**, no. 16, 3263. - (with N. Gordeev, F. Grunewald, and E. Plotkin).
*A description of Baer–Suzuki type of the solvable radical of a finite group*, J. Pure Appl. Algebra**213**(2009), 250-258. - (with N. Gordeev, F. Grunewald, and E. Plotkin).
*Baer--Suzuki theorem for the solvable radical of a finite group*, C. R. Acad. Sci. Paris, Sér. I**347**(2009), 217-222. - (with A. Gurevich).
*Primality testing through algebraic groups*, Arch. Math.**93**(2009), 555-564. - (with H. Chu, S.-J. Hu, and M.-c. Kang).
*Noether's problem and the unramified Brauer group for groups of order 64*, Intern. Math. Res. Notices**2010**, No. 12, 2329-2366; doi: 10.1093/imrn/rnp217. -
*The Bogomolov multiplier of finite simple groups*, Progr. Math.**282**(2010), 209-217. - (with N. Gordeev, F. Grunewald, and E. Plotkin).
*From Thompson to Baer-Suzuki: a sharp characterization of the solvable radical*, J. Algebra**323**(2010), 2888-2304. - (with T. Bandman and F. Grunewald and an appendix by N. Jones).
*Geometry and arithmetic of verbal dynamical systems on simple groups*, Groups, Geometry, and Dynamics**4**(2010), 607-655. - (with J.-L. Colliot-Thélène, V. L. Popov, and Z. Reichstein).
*Is the function field of a reductive Lie algebra purely transcendental over the field of invariants for the adjoint action?*, Compositio Math.**147**(2011), 428-466. - (with A. Gurevich).
*Deterministic primality tests based on tori and elliptic curves*, Finite Fields Appl.**18**(2012), 222–236. - (with T. Bandman, N. Gordeev, and E. Plotkin).
*Equations in simple Lie algebras*, J. Algebra**355**(2012), 67–79. - (with F. Grunewald and E. Plotkin).
*Characterization of solvable groups and solvable radical*, Intern. J. Algebra Computation**23**(2013), 1011-1062. - (with A. Hoshi and M. Kang).
*Noether's problem and unramified Brauer groups*, Asian J. Math.**17**(2013), 689-713. - (with T. Bandman).
*Criteria for equidistribution of solutions of word equations in SL(2)*, J. Algebra**382**(2013), 282-302. - (with A. Kanel-Belov and E. Plotkin).
*Word equations in simple groups and polynomial equations in simple algebras*, Vestnik St. Petersburg Univ. Math.**46**(2013), no. 1, 3-13. -
*Local-global invariants of finite and infinite groups: around Burnside from another side*, Expos. Math.**31**(2013), 256-273. - (with M. Borovoi, N. Lemire, and Z. Reichstein).
*Stably Cayley groups over fields of characteristic 0*, Int. Math. Res. Not.**2014**, no. 19, 5340-5397. - (with T. Bandman and S. Garion).
*Equations in simple matrix groups: algebra, geometry, arithmetic, dynamics*, Cent. Eur. J. Math.**12**(2014), 175-211. - (with M. Kang).
*The Bogomolov multiplier of rigid finite groups*, Arch. Math. (Basel)**102**(2014), 209-218. - (with M. Borovoi).
*Stably Cayley semisimple groups*, Doc. Math.**2015**, Extra vol.: Alexander S. Merkurjev's sixtieth birthday, 85--112. -
*Equations in matrix groups and algebras over number fields and rings: prolegomena to a lowbrow noncommutative Diophantine geometry*, "Arithmetic and Geometry", London Math. Soc. Lecture Note Ser., vol. 420, Cambridge Univ. Press, Cambridge, 2015, 263-282. - (with E. Klimenko, J. Morita, and E. Plotkin).
*Word maps in Kac-Moody setting*, Toyama Math. J.**37**(2015), 25-54. - (with N. L. Gordeev and E. B. Plotkin).
*Word maps and word maps with constants of simple algebraic groups*, Dokl. Akad. Nauk**471**(2016), no. 2, 136-138; English transl. in Dokl. Math.**94**(2016), 632-634. - (with N. Gordeev and E. Plotkin).
*Word maps, word maps with constants and representation varieties of one-relator groups*, J. Algebra**500**(2018), 390-424. - (with N. Gordeev and E. Plotkin).
*Word maps on perfect algebraic groups*, to appear in Internat. J. Algebra Comput. - (with N. Gordeev and E. Plotkin).
*Geometry of word equations in simple algebraic groups over special fields*, Uspekhi Mat. Nauk**73**(2018), no. 5, 3-52; English transl. to appear in Russian Math. Surveys.

Last updated: November 15, 2018