Research Interests
I am interested in those areas of modern mathematics which appear in theoretical physics (in particular, conformal and topological quantum field theories, the corresponding algebraic geometry and representation theory).
Publications (10+3 in preparation)
- Ya.Kononov, Weite Pi, Junliang Shen, Perverse filtrations, Chern filtrations, and refined BPS invariants for local P2 , Submitted to Advances in Mathematics
- Ya.Kononov, Elliptic stable envelopes and 3d mirror symmetry, Columbia University
- M.Khovanov, V.Ostrik and Ya.Kononov, M.Khovanov, V.Ostrik and, Two-dimensional Topological Theories, rational functions and their tensor envelopes, Selecta Mathematica
- Ya.Kononov, A.Smirnov, Pursuing quantum difference equations II: 3D-mirror symmetry, International Mathematical Research Notices, rnac196
- Ya.Kononov, A.Smirnov, Pursuing quantum difference equations I: stable envelopes of subvarieties, Letters in Mathematical Physics (2022) 112:69
- Ya.Kononov, A.Okounkov, A.Osinenko, A.Okounkov, A.Osinenko, The 2-leg vertex in K-theoretical DT theory, Communications in Math.Phys.
- Ya.Kononov, A.Morozov, On rectangular HOMFLY for twist knots, Mod.Phys.Lett. A Vol. 31, No. 38 (2016) 1650223
- Ya.Kononov, A.Morozov, Rectangular superpolynomials for the figure-eight knot, Theoretical and Mathematical Physics volume 193, pages 1630-1646(2017)
- Ya.Kononov, A.Morozov, On Factorization of Generalized Macdonald Polynomials, Eur.Phys.J. C76 (2016) no.8, 424
- D.Gepner, A.Belavin, Ya.Kononov, Flat coordinates for Saito Frobenius manifolds and String Theory, Theoretical and Mathematical Physics volume 189, pages 1775-1789(2016)
- Ya.Kononov, A.Morozov, Colored HOMFLY and Generalized Mandelbrot Set, JHEP11(2015)151
- Ya.Kononov, A.Morozov, Factorization of colored knot polynomials at roots of unity, Phys.Lett. B747 (2015) 500-510
- Ya.Kononov, A.Morozov, On the defect and stability of differential expansion, JETP Letters 101(2015) 831-834