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Publications:

  1. S. Galkin, V. Golyshev, H. Iritani: Gamma classes and quantum cohomology of Fano manifolds.
    Duke Math. J. 165 (2016), no. 11, 2005--2077. arXiv:1404.6407. IPMU 10-0200.
  2. T. Coates, A. Corti, S. Galkin, A. Kasprzyk: Quantum periods for 3-dimensional Fano manifolds.
    Geometry & Topology 20 (2016) 103-256. arXiv:1303.3288. IPMU 13-0113.
  3. S. Galkin, A. Mellit, M. Smirnov: Dubrovin's conjecture for IG(2,6).
    Int Math Res Notices (2015) 2015 (18): 8847-8859. arXiv:1405.3857.
  4. S. Galkin, L. Katzarkov, A. Mellit, E. Shinder: Derived categories of Keum's fake projective planes.
    Adv. Math. 278 (2015), pp. 238–253.
  5. S. Galkin, E. Shinder: Exceptional collections of line bundles on the Beauville surface.
    Adv. Math. 244 (2013), pp. 1033-1050. arXiv:1210.3339. MPIM 12-60.
  6. T. Coates, A. Corti, S. Galkin, V. Golyshev, A. Kasprzyk: Mirror Symmetry and Fano manifolds.
    ECM Kraków, 2–7 July, 2012 (pp. 285-300). arXiv:1212.1722. IPMU 12-0102.
  7. J. A. Cruz Morales, S. Galkin: Upper bounds for mutations of potentials.
    SIGMA 9 (2013), 005, 13 pages. arXiv:1301.4541. IPMU 12-0110.
  8. M. Akhtar, T. Coates, S. Galkin, A. Kasprzyk: Minkowski Polynomials and Mutations.
    SIGMA 8 (2012), 094, 707 pages. arXiv:1212.1785. IPMU 12-0120.
  9. S. Galkin, V. Golyshev: Quantum cohomology of Grassmannians and cyclotomic fields.
    Russ. Math. Surv. (2006), 61(1):171.
arXiv preprints:
  1. S. Galkin, I. Karzhemanov, E. Shinder: Acyclicity of non-linearizable line bundles on fake projective planes. arXiv:1602.06107.
  2. S. Galkin, H. Iritani: Gamma conjecture via mirror symmetry. arXiv:1508.00719.
  3. S. Galkin, E. Shinder: On a zeta-function of a dg-category. arXiv:1506.05831.
  4. T. Coates, S. Galkin, A. Kasprzyk, A. Strangeway: Quantum Periods For Certain Four-Dimensional Fano Manifolds. arXiv:1406.4891.
  5. S. Galkin, E. Shinder: The Fano variety of lines and rationality problem for a cubic hypersurface. arXiv:1405.5154.
  6. S. Galkin: The conifold point. arXiv:1404.7388.
  7. S. Galkin, L. Katzarkov, A. Mellit, E. Shinder: Minifolds and Phantoms. arXiv:1305.4549. IPMU 13-0102.
  8. S. Galkin: Apery constants of homogeneous varieties. arXiv:1604.04652. Preprint SFB45 (2008).
IPMU preprints:
  1. S. Galkin, A. Mellit: Minifolds 1: on the projective fourspace . Preprint IPMU 11-0100.
  2. S. Galkin: G-Fano threefolds are mirror-modular. Preprint IPMU 10-0150.
  3. S. Galkin, A. Usnich: Laurent phenomenon for Ginzburg-Landau potential. Preprint IPMU 10-0100.
  4. S. Galkin: G-minimal varieties are quantum minimal. Preprint IPMU 10-0101.
  5. S. Galkin: Two instances of fake minimal Fano threefolds. IPMU 11-0099. Preprint SFB45 (2008)
  6. S. Galkin: Small toric degenerations of Fano threefolds. preprint (2008) IPMU 12-0121
Written in Russian:
  1. S. Galkin: Toric degenerations of Fano varieties. Ph.D. Thesis (Steklov Math Institute, April 3, 2008), (in Russian)
  2. S. Galkin: Picard lattices of nodal toric Fano threefolds. (in Russian)
  3. S. Galkin: Del Pezzo surfaces and low ramified pencils of elliptic curves. (in Russian)
  4. S. Galkin: Derived categories of coherent sheaves on toric stacks. Preprint ITEP-TH-105/04 (in Russian).