sergey.𝚐𝚊𝚕𝚔𝚒𝚗

[ papers talks videos minicourses seminars conferences lectures links ]

What's NEW:

{ contact github.com/sergunchik arxiv.org/galkin_s_1 orcid lattes scholar.google mathscinet zbmath researchgate scopus mendeley researcherid elibrary mathnet rnr kaken genealogy.math sergunchik.github.io }


24 VIDEOS of 178 TALKS (April 2008 - March 2020, many newer videos on graph potentials are available by request)

Written works: {legend: title[fulltext] citation[doi] arxiv[abs] link[other] text[authors,date,etc]}
  1. S. Galkin, J. Hu, H. Iritani, H. Ke, C. Li, Z. Su: Counter-examples to Gamma conjecture I. arXiv:2405.16979.
  2. P. Belmans, S. Galkin, S. Mukhopadhyay: Decompositions of moduli spaces of vector bundles and graph potentials. Forum of Mathematics, Sigma , 11 (2023) e16. arXiv:2009.05568 (v3 and later).
  3. S. Galkin, I. Karzhemanov, E. Shinder: On automorphic forms of small weight for fake projective planes. Moscow Math Journal 23:1 (2023) 97--111. arXiv:1602.06107. IPMU 15-0202. (2014.08, Trento)
  4. S. Galkin, G. Mikhalkin: Singular symplectic spaces and holomorphic membranes. European Journal of Mathematics 8 (2022) 932--951. arXiv:2203.10043. (2014.10, Petra)
  5. Sergey Galkin, D.S. Nagaraj: Projective bundles and blow-ups of Projective spaces. Annali di Matematica 201 (2022) 2707--2713. arXiv:2006.12112.
  6. P. Belmans, S. Galkin, S. Mukhopadhyay: Examples violating Golyshev's canonical strip hypotheses. Experimental Mathematics 31:1 (2022) 233--237. arXiv:1806.07648. MPIM 18-32.
  7. P. Belmans, S. Galkin, S. Mukhopadhyay: Combinatorial non-abelian Torelli theorem. July 17, 2021. Expanded in: Can one hear the shape of a random walk? (2024)
  8. T. Coates, S. Galkin, A. Kasprzyk, A. Strangeway: Quantum periods for certain four-dimensional Fano manifolds. Experimental Mathematics 29:2 (2020) 183--221. arXiv:1406.4891.
  9. 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
  10. S. Galkin, H. Iritani: Gamma conjecture via mirror symmetry. Primitive Forms and Related Subjects --- Kavli IPMU 2014, Adv. Stud. Pure Math. 83 (2019) 55--115. arXiv:1508.00719.
  11. S. Galkin, V. Golyshev, H. Iritani: Gamma classes and quantum cohomology of Fano manifolds: Gamma conjectures. Duke Math. J. 165:11 (2016) 2005--2077. arXiv:1404.6407. IPMU 10-0200.
  12. 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.
  13. S. Galkin, A. Mellit, M. Smirnov: Dubrovin's conjecture for IG(2,6). Int Math Res Notices 2015:18 (2015) 8847--8859. arXiv:1405.3857.
  14. S. Galkin, L. Katzarkov, A. Mellit, E. Shinder: Derived categories of Keum's fake projective planes. Adv. Math. 278 (2015) 238--253. (2013.06, Mainz)
  15. S. Galkin, E. Shinder: Exceptional collections of line bundles on the Beauville surface. Adv. Math. 244 (2013) 1033--1050. arXiv:1210.3339. MPIM 12-60.
  16. 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 (2015.04, Oberwolfach)
  17. 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.
  18. J. A. Cruz Morales, S. Galkin: Upper bounds for mutations of potentials. SIGMA 9:005 (2013) 1--13. arXiv:1301.4541. IPMU 12-0110.
  19. M. Akhtar, T. Coates, S. Galkin, A. Kasprzyk: Minkowski Polynomials and Mutations. SIGMA 8:094 (2012) 1--707. arXiv:1212.1785. IPMU 12-0120.
  20. S. Galkin, V. Golyshev: Quantum cohomology of Grassmannians and cyclotomic fields. Russ. Math. Surv. 61:1 (2006) 171--173. (2004, Moscow)
  21. S. Galkin, P. Popov: On pairs, triples and quadruples of points on a cubic surface. Russ. Math. Surv., to appear. arXiv:1810.07001.
  22. P. Belmans, S. Galkin, S. Mukhopadhyay: Graph potentials and symplectic geometry of moduli spaces of vector bundles. arXiv:2206.11584.
  23. P. Belmans, S. Galkin, S. Mukhopadhyay: Graph potentials and topological quantum field theories. arXiv:2205.07244.
  24. S. Galkin, E. Shinder: On a zeta-function of a dg-category. arXiv:1506.05831. (2013.01, Saint Petersburg - Moscow)
  25. S. Galkin, E. Shinder: The Fano variety of lines and rationality problem for a cubic hypersurface. arXiv:1405.5154.
  26. S. Galkin, L. Katzarkov, A. Mellit, E. Shinder: Minifolds and Phantoms. 2013. IPMU 13-0102. arXiv:1305.4549.
  27. S. Galkin, A. Usnich: Laurent phenomenon for Ginzburg-Landau potential. 2010. IPMU 10-0100.
  28. S. Galkin: The conifold point. arXiv:1404.7388. (2011, Split)
  29. S. Galkin: Fano-Mathieu correspondence. arXiv:1809.02738. IPMU 10-0150.
  30. S. Galkin: G-minimal varieties are quantum minimal. IPMU 10-0101. (2008.04, Mainz)
  31. S. Galkin: Apéry constants of homogeneous varieties. arXiv:1604.04652. (2008.10, Mainz, preprint SFB45)
  32. S. Galkin: Two instances of fake minimal Fano threefolds. IPMU 11-0099. (2008.05, Mainz-IHES, preprint SFB45)
  33. S. Galkin: Small toric degenerations of Fano threefolds. arXiv:1809.02705. IPMU 12-0121. Original (in Russian): Preprint VINITI 167-B, Feb 27, 2008, Moscow. Part 3/3 of my PhD thesis.
  34. S. Galkin: Del Pezzo surfaces and low ramified pencils of elliptic curves. Preprint VINITI 168-B, Feb 27, 2008, Moscow. In Russian, part 2/3 of my PhD thesis.
  35. S. Galkin: Derived categories of coherent sheaves on toric stacks. ITEP-TH-105/04. In Russian, a preprint version of my specialist (Master) thesis. (2004.06, Moscow)
    36. Older or superceded/overlapping versions
  36. P. Belmans, S. Galkin, S. Mukhopadhyay: Graph potentials and moduli spaces of rank two bundles on a curve. arXiv:2009.05568v2 (v1-v2 only). Superceded by arXiv:2009.05568v3 (v3 and later), arXiv:2205.07244, arXiv:2206.11584.
  37. S. Galkin, A. Mellit: Minifolds 1: on the projective fourspace. IPMU 11-0100. (2011.02, Trieste)
    38. In 2013 it was incorporated as the first half of preprint arXiv:1305.4549, but since second half of it was published separately, an extended version of this paper is going to be released.
  38. S. Galkin: Picard lattices of nodal toric Fano threefolds. 2008, in Russian, part 4/3 of my PhD thesis.
    39. A supplementary computation for arXiv:1809.02705, of independent interest.
  39. S. Galkin: Toric degenerations of Fano manifolds. Ph.D. Thesis (Steklov Math Institute, April 3, 2008). (in Russian). Main results correspond to three papers above.

Mini-courses:
Organization of seminars: Organization of conferences, workshops, schools, minicourses: Lecture courses: Minimal Surfaces (and Mirror Symmetry) (25.1), Geometry of Algebraic Varieties (24.2), Complex Geometry (24.1), Álgebra Linear (24.1, 23.1), Quantum Topology: an introduction (24.0), Representation Theory / Teoria da Representação (23.2), Riemann Surfaces / Superfícies de Riemann (23.1-23.2), Modular Forms (23.0 (summer), 15.1), Algebraic Geometry and Statistical Learning Theory (22.2), Análise Complexa (22.2), Introdução à Topologia (22.1), Estruturas Algébricas (22.1, 21.2, 21.1, 20.2, 20.1), Lógica, Provas e LEAN (21.2), Geometry of Robotics (21.1), Algebraic Geometry (20.2, 17.2), Commutative Algebra (20.1), Topics in Geometry (19.2), Symmetries and Moduli Spaces (16.2), Algebraic Surfaces (16.1, 15.2), Proofs of Irrationality (15.2), Projective Geometry (14.1).


Coauthors: Mohammad AKHTAR, Pieter BELMANS, Alexey BONDAL, Tom COATES, Alessio CORTI, John Alexander CRUZ MORALES, Ronaldo GARCIA, Vasily GOLYSHEV, Jianxun HU, Hiroshi IRITANI, Ilya KARZHEMANOV, Al KASPRZYK, Ludmil KATZARKOV, Huazhong KE, Changzheng LI, Anton MELLIT, Grigory MIKHALKIN, Swarnava MUKHOPADHYAY, D.S. Nagaraj, Pavel POPOV, Dan REZNIK, Sergey RYBAKOV, Evgeny SHINDER, Constantin SHRAMOV, Maxim SMIRNOV, Andrew STRANGEWAY, Zhitong SU, Alexandr USNICH.


Some useful links

[ papers talks videos minicourses seminars conferences lectures links ]