sergey.𝚐𝚊𝚕𝚔𝚒𝚗

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1. T. Coates, S. Galkin, A. Kasprzyk, A. Strangeway: Quantum periods for certain four-dimensional Fano manifolds.
   Experimental Mathematics 29 (2020), no. 2, 183--221. arXiv:1406.4891.
2. S. Galkin, S. Rybakov: A family of K3 surfaces and towers of algebraic curves over finite fields.
   Math. Notes, 106:6 (2019), 1014--1018. arXiv:1910.14379
3. S. Galkin, H. Iritani: Gamma conjecture via mirror symmetry.
   Primitive Forms and Related Subjects --- Kavli IPMU 2014, 55--115, Mathematical Society of Japan, Tokyo, Japan, 2019. Advanced Studies in Pure Mathematics no. 83, 2019. arXiv:1508.00719.
4. P. Belmans, S. Galkin, S. Mukhopadhyay: Examples violating Golyshev's canonical strip hypotheses.
   Experimental Mathematics. 2019.06.17, 5 pages. arXiv:1806.07648. MPIM 18-32.
5. S. Galkin, V. Golyshev, H. Iritani: Gamma classes and quantum cohomology of Fano manifolds: Gamma conjectures.
   Duke Math. J. 165 (2016), no. 11, 2005--2077. arXiv:1404.6407. IPMU 10-0200.
6. 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.
7. 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.
8. S. Galkin, L. Katzarkov, A. Mellit, E. Shinder: Derived categories of Keum's fake projective planes.
   Adv. Math. 278 (2015), pp. 238--253.
9. 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.
10. S. Galkin: Degenerations, transitions and quantum cohomology.
    in: Tropical Aspects in Geometry, Topology and Physics. Oberwolfach Report No. 23/2015, pp. 1269--1273. arXiv:1809.02737
11. T. Coates, A. Corti, S. Galkin, V. Golyshev, A. Kasprzyk: Mirror Symmetry and Fano manifolds.
    in: ECM Kraków, 2-7 July, 2012 (pp. 285--300). arXiv:1212.1722. IPMU 12-0102.
12. J. A. Cruz Morales, S. Galkin: Upper bounds for mutations of potentials.
    SIGMA 9 (2013), 005, 13 pages. arXiv:1301.4541. IPMU 12-0110.
13. M. Akhtar, T. Coates, S. Galkin, A. Kasprzyk: Minkowski Polynomials and Mutations.
    SIGMA 8 (2012), 094, 707 pages. arXiv:1212.1785. IPMU 12-0120.
14. S. Galkin, V. Golyshev: Quantum cohomology of Grassmannians and cyclotomic fields.
    Russ. Math. Surv. (2006), 61(1):171.
15. S. Galkin, P. Popov: On pairs, triples and quadruples of points on a cubic surface. arXiv:1810.07001.
16. S. Galkin, I. Karzhemanov, E. Shinder: On automorphic forms of small weight for fake projective planes. 2014. IPMU 15-0202. arXiv:1602.06107.
17. S. Galkin, E. Shinder: On a zeta-function of a dg-category. arXiv:1506.05831.
18. S. Galkin, E. Shinder: The Fano variety of lines and rationality problem for a cubic hypersurface. arXiv:1405.5154.
19. S. Galkin, L. Katzarkov, A. Mellit, E. Shinder: Minifolds and Phantoms. 2013. IPMU 13-0102. arXiv:1305.4549.
20. S. Galkin, A. Mellit: Minifolds 1: on the projective fourspace. 2011. IPMU 11-0100.
21. S. Galkin, A. Usnich: Laurent phenomenon for Ginzburg-Landau potential. 2010. IPMU 10-0100.
22. S. Galkin: The conifold point. arXiv:1404.7388.
23. S. Galkin: Fano-Mathieu correspondence. 2010. IPMU 10-0150. arXiv:1809.02738.
24. S. Galkin: G-minimal varieties are quantum minimal. 2010. IPMU 10-0101.
25. S. Galkin: Apéry constants of homogeneous varieties. 2008. Preprint SFB45. arXiv:1604.04652.
26. S. Galkin: Two instances of fake minimal Fano threefolds. 2008. Preprint SFB45. IPMU 11-0099.
27. S. Galkin: Small toric degenerations of Fano threefolds. 2008. IPMU 12-0121. arXiv:1809.02705.
28. S. Galkin: Toric degenerations of Fano manifolds. Ph.D. Thesis (Steklov Math Institute, April 3, 2008). (in Russian)
29. S. Galkin: Picard lattices of nodal toric Fano threefolds. 2008. (in Russian)
30. S. Galkin: Del Pezzo surfaces and low ramified pencils of elliptic curves. 2008. (in Russian)
31. S. Galkin: Derived categories of coherent sheaves on toric stacks. 2004. ITEP-TH-105/04. (in Russian)

• Decompositions in Algebraic and Symplectic Geometry, Gamma Conjectures, Mirror Symmetry, and their applications. TIFR Mumbai, India, January-February 2020.
• Cubic forms and related geometries, Gökova GTI, Turkey, June 2017.
• Cubic forms (with N. Kurnosov), Dubna, Russia, July 2016.
• Geometry of surfaces with geometric genus zero, EPFL Lausanne, Switzerland, January 2014.
• Geometry of Fano manifolds, MPIM Bonn, Germany, September 2013. [Notes, Photos]
• From classical geometry to mirror symmetry, IPMU Kashiwa, Japan, May 2012.
• Reflecting Fano, Geneva University, Switzerland, March 2012.
• Mirror constructions for Fano varieties, KIAS summer school on Mirror Symmetry for Fano Varieties, Anmyendo, Korea, June 2011.

• Automorphic Forms (with V. Gritsenko and V. Spiridonov, 2015-2019).
• Categories (with A. Efimov and A. Fonarev, 2017-2018).
• Varieties (with C. Brav, 2015-2016 and 2017-2018).
• Geometric sructures on manifolds (with M. Verbitsky and V. Zhgoon, 2013-2017).
• Local Fourier Transform (IPMU, 2010-2012).

• Mirror Symmetry and applications, December 13-18, 2017, Moscow (with C. Brav, L. Katzarkov, V. Przyjalkowski)
• Hyperkähler Saturday, November 25, 2017, Moscow (with N. Kurnosov)
• Monge-Ampere equation and Calabi-Yau manifolds, May 23-27, 2016, Moscow (with M. Verbitsky)
• Projective Algebraic Geometry (celebrating Fyodor Zak's 65th birthday), September 7-12, 2015, Moscow (with K.Shramov and N.Kurnosov)
• Derived categories, Motives and Zeta-functions, June 9-11, 2014, Edinburgh (with E. Shinder and M. Wemyss)
• Curves and categories in geometry and physics, October 31 - November 4, 2011, Kashiwa (with T. Milanov, A. Bondal, K. Hori and K. Saito)
• Fuchsian differential equations and holomorphic connections, April 25-28, 2011, Kashiwa (with A. Getmanenko and T. Milanov)

• Homepages of coauthors: Pieter BELMANS, Tom COATES, Alessio CORTI, Hiroshi IRITANI, Al KASPRZYK, Anton MELLIT, Grigory MIKHALKIN, Swarnava MUKHOPADHYAY, Evgeny SHINDER, Maxim SMIRNOV;
• Homepageless coauthors: Mohammad AKHTAR, Alexey BONDAL, John Alexander CRUZ MORALES, Vasily GOLYSHEV, Ilya KARZHEMANOV, Ludmil KATZARKOV, Pavel POPOV, Sergey RYBAKOV, Constantin SHRAMOV, Andrew STRANGEWAY, Alexandr USNICH.
• Tables: OEIS, Fanography, FanoSearch, GRDB, CY data (Kreuzer-Skarke), CYDB (Mainz tables v3, Duco van Straten and Pavel Metelitsyn), toric CY3 (Altman-Gray-He-Jejjala-Nelson), CY explorer (Jurke)
• Calculators: PARI/GP, MAGMA, SAGE.
• mathseminars.org

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