Vassily Gorbounov is a professor of mathematics at Aberdeen. Much of his mathematical work is inspired by quantum field theory, especially topological and conformal field theory as well as with superstring theory.
On the quaternionic cobordism ring:
Vassily Gorbounov, Nigel Ray, Orientations of Bundles and Symplectic Cobordism, Publ. RIMS, Kyoto Univ. 28 (1992), 39-55 (pdf, doi: 10.2977/prims/1195168855)
Vassily Gorbounov, Nigel Ray, Paul Turner, On the Hopf Ring for a Symplectic Oriented Spectrum, American Journal of Mathematics
Vol. 117, No. 4 (Aug., 1995), pp. 1063-1088 (doi:10.2307/2374960)
On chiral differential operators:
Vassily Gorbounov, Fyodor Malikov, Vadim Schechtman, Gerbes of chiral differential operators Math. Res. Lett. 7 (2000), no. 1, 55–66, MR2002c:17040, math.AG/9906117;
Gerbes of chiral differential operators. II. Vertex algebroids, Invent. Math. 155 (2004), no. 3, 605–680, MR2005e:17047, math.AG/0003170, doi;
Gerbes of chiral differential operators. III, in: The orbit method in geometry and physics (Marseille, 2000), 73–100, Progr. Math. 213, Birkhäuser 2003, MR2005a:17028, math.AG/0005201,
On chiral differential operators over homogeneous spaces, Int. J. Math. Math. Sci. 26 (2001), no. 2, 83–106, MR2002g:14020, math.AG/0008154, doi
Vassily Gorbounov, Owen Gwilliam, Brian Williams, Chiral differential operators via Batalin-Vilkovisky quantization, pdf
On quantum K-theory in relation to the quantum Yang-Baxter equation:
Vassily Gorbounov, Christian Korff: Quantum Integrability and Generalised Quantum Schubert Calculus, Advances in Mathematics 313 (2017) 282-356 [doi:10.1016/j.aim.2017.03.030, arXiv:1408.4718]
Vassily Gorbounov, Christian Korff: Leonardo C. Mihalcea: Quantum K–theory of Grassmannians from a Yang-Baxter algebra [arXiv:2503.08602]
Last revised on March 12, 2025 at 08:05:46. See the history of this page for a list of all contributions to it.