What's NEW:
24 VIDEOS
of
178 TALKS
(April 2008  March 2020, many newer videos on graph potentials are available by request)
Written works:
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title[fulltext]
citation[doi]
arxiv[abs]
link[other]
text[authors,date,etc]}
Graph potentials and VBAC moduli: mirror symmetry and TQFT in (2+2)d series
 P. Belmans, S. Galkin, S. Mukhopadhyay:
Combinatorial nonabelian Torelli theorem
(and why you cannot hear the shape of a random walk).
 P. Belmans, S. Galkin, S. Mukhopadhyay:
Graph potentials and symplectic geometry of moduli spaces of vector bundles.
arXiv:2206.11584.
 P. Belmans, S. Galkin, S. Mukhopadhyay:
Graph potentials and topological quantum field theories.
arXiv:2205.07244.
 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).
 P. Belmans, S. Galkin, S. Mukhopadhyay:
Examples violating Golyshev's canonical strip hypotheses.
Experimental Mathematics 31:1 (2022) 233237.
arXiv:1806.07648.
MPIM 1832.
other works
 S. Galkin, I. Karzhemanov, E. Shinder:
On automorphic forms of small weight for fake projective planes.
Moscow Math Journal 23:1 (2023) 97111.
arXiv:1602.06107.
IPMU 150202.
(2014.08, Trento)
 S. Galkin, G. Mikhalkin:
Singular symplectic spaces and holomorphic membranes.
European Journal of Mathematics 8 (2022) 932951.
arXiv:2203.10043.
(2014.10, Petra)
 Sergey Galkin, D.S. Nagaraj:
Projective bundles and blowups of Projective spaces.
Annali di Matematica 201 (2022) 27072713.
arXiv:2006.12112.
 T. Coates, S. Galkin, A. Kasprzyk, A. Strangeway:
Quantum periods for certain fourdimensional Fano manifolds.
Experimental Mathematics 29:2 (2020) 183221.
arXiv:1406.4891.
 S. Galkin, S. Rybakov:
A family of K3 surfaces and towers of algebraic curves over finite fields.
Math. Notes 106:6 (2019) 10141018.
arXiv:1910.14379
 S. Galkin, H. Iritani:
Gamma conjecture via mirror symmetry.
Primitive Forms and Related Subjects  Kavli IPMU 2014, Adv. Stud. Pure Math. 83 (2019) 55115.
arXiv:1508.00719.
 S. Galkin, V. Golyshev, H. Iritani:
Gamma classes and quantum cohomology of Fano manifolds: Gamma conjectures.
Duke Math. J. 165:11 (2016) 20052077.
arXiv:1404.6407.
IPMU 100200.
 T. Coates, A. Corti, S. Galkin, A. Kasprzyk:
Quantum periods for 3dimensional Fano manifolds.
Geometry & Topology 20 (2016) 103256.
arXiv:1303.3288.
IPMU 130113.
 S. Galkin, A. Mellit, M. Smirnov:
Dubrovin's conjecture for IG(2,6).
Int Math Res Notices 2015:18 (2015) 88478859.
arXiv:1405.3857.
 S. Galkin, L. Katzarkov, A. Mellit, E. Shinder:
Derived categories of Keum's fake projective planes.
Adv. Math. 278 (2015) 238253.
(2013.06, Mainz)
 S. Galkin, E. Shinder:
Exceptional collections of line bundles on the Beauville surface.
Adv. Math. 244 (2013) 10331050.
arXiv:1210.3339.
MPIM 1260.
 S. Galkin:
Degenerations, transitions and quantum cohomology.
in: Tropical Aspects in Geometry, Topology and Physics. Oberwolfach Report No. 23/2015, pp. 12691273.
arXiv:1809.02737
(2015.04, Oberwolfach)
 T. Coates, A. Corti, S. Galkin, V. Golyshev, A. Kasprzyk:
Mirror Symmetry and Fano manifolds.
in: ECM Kraków, 27 July, 2012, pp. 285300.
arXiv:1212.1722.
IPMU 120102.
 J. A. Cruz Morales, S. Galkin:
Upper bounds for mutations of potentials.
SIGMA 9:005 (2013) 113.
arXiv:1301.4541.
IPMU 120110.
 M. Akhtar, T. Coates, S. Galkin, A. Kasprzyk:
Minkowski Polynomials and Mutations.
SIGMA 8:094 (2012) 1707.
arXiv:1212.1785.
IPMU 120120.
 S. Galkin, V. Golyshev:
Quantum cohomology of Grassmannians and cyclotomic fields.
Russ. Math. Surv. 61:1 (2006) 171173.
(2004, Moscow)
 S. Galkin, J. Hu, H. Iritani, H. Ke, C. Li, Z. Su:
Counterexamples to Gamma conjecture I.
arXiv:2405.16979.
 S. Galkin, P. Popov:
On pairs, triples and quadruples of points on a cubic surface.
Russ. Math. Surv., to appear.
arXiv:1810.07001.
 S. Galkin, E. Shinder:
On a zetafunction of a dgcategory.
arXiv:1506.05831.
(2013.01, Saint Petersburg  Moscow)
 S. Galkin, E. Shinder:
The Fano variety of lines and rationality problem for a cubic hypersurface.
arXiv:1405.5154.
 S. Galkin, L. Katzarkov, A. Mellit, E. Shinder:
Minifolds and Phantoms.
2013. IPMU 130102.
arXiv:1305.4549.
 S. Galkin, A. Usnich:
Laurent phenomenon for GinzburgLandau potential.
2010. IPMU 100100.
 S. Galkin:
The conifold point.
arXiv:1404.7388.
(2011, Split)
 S. Galkin:
FanoMathieu correspondence.
arXiv:1809.02738.
IPMU 100150.
 S. Galkin:
Gminimal varieties are quantum minimal.
IPMU 100101.
(2008.04, Mainz)
 S. Galkin:
Apéry constants of homogeneous varieties.
arXiv:1604.04652.
(2008.10, Mainz, preprint SFB45)
 S. Galkin:
Two instances of fake minimal Fano threefolds.
IPMU 110099.
(2008.05, MainzIHES, preprint SFB45)
 S. Galkin:
Small toric degenerations of Fano threefolds.
arXiv:1809.02705.
IPMU 120121.
(20062008, Moscow)
 S. Galkin:
Del Pezzo surfaces and low ramified pencils of elliptic curves.
(in Russian)
(20062008, Moscow)
 S. Galkin:
Derived categories of coherent sheaves on toric stacks.
ITEPTH105/04.
(in Russian).
(2004.06, Moscow)
This is a stripped down version of my specialist (master) thesis.
Older or superceded/overlapping versions
 P. Belmans, S. Galkin, S. Mukhopadhyay:
Graph potentials and moduli spaces of rank two bundles on a curve.
arXiv:2009.05568v2 (v1v2 only).
Superceded by
arXiv:2009.05568v3 (v3 and later),
arXiv:2205.07244,
arXiv:2206.11584.
 S. Galkin, A. Mellit:
Minifolds 1: on the projective fourspace.
IPMU 110100.
(2011.02, Trieste)
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.
 S. Galkin:
Picard lattices of nodal toric Fano threefolds.
2008.
(in Russian)
This miniarticle is a supplementary material for
arXiv:1809.02705.
 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.
Minicourses:

Decompositions in Algebraic and Symplectic Geometry, Gamma Conjectures, Mirror Symmetry, and their applications.
TIFR Mumbai, India, JanuaryFebruary 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.
Organization of seminars:
Organization of conferences, workshops, schools, minicourses:
 Mirror Symmetry and applications,
December 1318, 2017, Moscow (with C. Brav, L. Katzarkov, V. Przyjalkowski)
 Hyperkähler Saturday,
November 25, 2017, Moscow (with N. Kurnosov)
 MongeAmpere equation and CalabiYau manifolds,
May 2327, 2016, Moscow (with M. Verbitsky)
 Projective Algebraic Geometry (celebrating Fyodor Zak's 65th birthday),
September 712, 2015, Moscow (with K.Shramov and N.Kurnosov)
 Derived categories, Motives and Zetafunctions,
June 911, 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 2528, 2011, Kashiwa (with A. Getmanenko and T. Milanov)
Lecture courses:
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 (23.123.2),
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).
 Homepages of coauthors:
Pieter BELMANS,
Tom COATES,
Alessio CORTI,
Ronaldo GARCIA,
Jianxun HU,
Hiroshi IRITANI,
Al KASPRZYK,
Huazhong KE,
Changzheng LI,
Anton MELLIT,
Grigory MIKHALKIN,
Swarnava MUKHOPADHYAY,
D.S. Nagaraj,
Dan REZNIK,
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,
Zhitong SU,
Alexandr USNICH.
 Tables:
ATLAS,
oeis.org,
fanosearch.net,
fanography.info,
grassmannian.info,
superficie.info,
grdb.co.uk,
CY data (KreuzerSkarke),
CYdb (Mainz tables v3, Duco van Straten and Pavel Metelitsyn),
toric CY3 (AltmanGrayHeJejjalaNelson),
CY explorer (Jurke)
 Calculators:
PARI/GP
MAGMA
M2
LiE
SAGE
CoCoA
GAP
 Software:
brew;
tcsh
(.cshrc,
ohmyz.sh);
git
(.gitignore,
gitlatexdiff,
gitinfo2);
vim (.vimrc);
latex,
babel;
arxiv2bib
mr2bib
bibgetter
(cf. doi2bib);
pretext;
pari/gp
(.gprc,
.gpalias)
 Accessibility: dark reader,
dark.css (of this page).
 Services:
Online LaTeX Editor Overleaf,
CoCalc: Collaborative Calculation and Data Science.
 Tips:
aspell
writing latex
gitimmersion.com
gitworkflowforlazymathematicians
gitignore.io
tex+vim+tags&c
 mathseminars.org
freemath.xyz