Laboratory of Algebraic Geometry and Homological Algebra
Specialized seminar by A.I. Bondal and D.V. Dubnov Applications of Homological Algebra Methods to Algebraic Geometry (fall/spring 2019/2020).
Applications of Algebraic and Geometric Methods to Integrable Systems and Quantum Physics Seminar (fall/spring 2019/2020).
Special course by A.I. Bondal and D.V. Dubnov Homological Methods for Geometry and Algebra (fall/spring 2019/2020).
Special course by I.V. Karzhemanov Riemann Surfaces and Algebraic Curves (fall/spring 2019/2020).
Special course by S.Yu. Orevkov Topology of Real Algebraic Flat Curves (fall/spring 2019/2020).
Alexey Bondal
Head of Laboratory, ScD (Phys&Math)
Professional experience
Lead researcher, Steklov Institute of Mathematics; researcher, Lab for Mirror Symmetry and Automorphic Forms, Higher School of Economics
Web: https://de.wikipedia.org/wiki/Alexei_Igorewitsch_Bondal
Academic Interests
Theory of exact, Abelian, derivative, triangulated, differential graduated and higher homotopic categories; non-commutative geometry; applications of homological algebra to algebraic geometry, topology and representation theory; mathematical issues of quantum field theory and reflexive symmetry; applications of algebraic geometry and homological algebra to quantum communications theory; cellular automata such as Langton's ant; geometric and category approaches to estimating tensor ranks and the complexity of matrix products
Ilya Zhdanovskiy
Deputy Head of Laboratory, PhD (Phys&Math)
Professional experience
Associate Professor, Dept. of Higher Mathematics, Moscow Institute of Physics and Technology; researcher, Lab for Algebraic Geometry and Its Applications, Higher School of Economics
Web: https://www.researchgate.net/profile/Ilya_Zhdanovskiy
Web: https://www.researchgate.net/profile/Ilya_Zhdanovskiy
Academic Interests
Representation theory, algebraic geometry, quantum information theory, integrable systems
Stepan Orevkov
Lead researcher, PhD (Phys&Math)
Professional experience
Senior researcher at Steklov Institute of Mathematics
Web: https://www.math.univ-toulouse.fr/~orevkov/
Web: https://www.math.univ-toulouse.fr/~orevkov/
Academic Interests
Topology of flat real algebraic curves and surfaces, the theory of braids, complex surface mapping (as applicable to the Jacobian hypothesis)
Vassili Gorbunov
Lead researcher, PhD (Phys&Math)
Professional experience
-
Professor, University of Aberdeen (Scotland); researcher, International Lab for the Representation Theory and Mathematical Physics, Higher School of Economics
- Web: https://www.abdn.ac.uk/ncs/people/profiles/v.gorbunov
Academic Interests
Mathematical physics, topology, quantum integrable systems
Vyacheslav Shokurov
Lead researcher, ScD (Phys&Math)
Professional experience
-
Professor, Johns Hopkins University (Baltimore, USA); lead researcher, Steklov Institute of Mathematics
Key accomplishments: Numerical Geometry of Algebraic Varieties presentation, International Congress of Mathematicians, Berkeley, CA, USA, 1986
Academic Interests
Algebraic geometry
Kyoji Saito
Lead researcher, PhD (Phys&Math)
Professional experience
Professor, Research Institute for Mathematical Sciences, (Kyoto, Japan); researcher, Kavli Institute, Tokyo University (Kashiwa, Japan)
Key accomplishments: The Limit Element in the Configuration Algebra for a Discrete Group presentation, International Congress of Mathematicians, Kyoto, Japan, 1990; Mathematical Society of Japan award, 2011
Academic Interests
Reflection groups, hypersurface features, complex geometry
Ilya Karzhemanov
Researcher, PhD (Phys&Math)
Professional experience
-
Associate Professor, Dept. of Higher Mathematics, Moscow Institute of Physics and Technology
- Web: https://www.researchgate.net/profile/Ilya_Karzhemanov
Academic Interests
Geometry, algebra, number theory
Denis Degtyarov
Researcher
Academic Interests
Integrable systems in algebraic geometry
Svetlana Makarova
Researcher
Professional experience
Вoctorate student, MIT (Boston, USA)
Key accomplishments: Dobrushinskaya scholarship (fall 2014); Silver Nestling scholarship (fall 2014 - spring 2017); Levinson fellowship (summer 2016 and 2017); Collamore-Rogers fellowship (2016-2017)
Academic Interests
Homological algebra and its applications to algebraic geometry, including the proof of strange duality for K3 surfaces, based on birational isomorphisms (given represented by Fourier-Mukai functionaries) of stable pencil module spaces, combinatorial generation of derivative categories for quiver representation spaces with GIT factors, category-geometric approach to tensor ranks, general theory of DG and triangulated categories, and module problems
Grigory Konovalov
Technician
Professional experience
MSc student, Skoltech (Skolkovo, Russia)
Academic Interests
Algebraic geometry (algebraic surfaces, rationality problems, Hodge theory)
Stanislav Grishin
Technician
Professional experience
BSc, Moscow Institute of Physics and Technology (Dolgoprudny, Russia)
Key accomplishments: IMC Blagoevgrad gold medal; VJIMC silver medal (Ostrava); NCUMC math competition winner (Saint Petersburg); winner of other domestic math competitions
Academic Interests
Functional analysis, general algebra
Konstantin Loginov
Researcher, PhD (Phys&Math)
Professional experience
Researcher, Steklov Institute of Mathematics
Key accomplishments: Simons Foundation scholarship (2016, 2017, 2018), Dobrushin scholarship, Presidential scholarship, Higher School of Economics
Academic Interests
Bi-rational geometry, minimal model program. Fano manifolds and their degeneracy
Dmitry Dubnov
Researcher, PhD (Phys&Math)
Professional experience
Academic Interests
Homological theory of associative algebraic representations, non-commutative algebraic geometry, symplectic groupoid theory, derivative categories of coherent pencils in algebraic varieties, associative algebraic representations, theory of t-structures and semi-orthogonal decompositions in triangulated categories, algebraic structures deformation theory, quasi-periodic process simulation, perturbation theory, fast/slow dynamic systems.