Computing monodromy groups of holonomic systems of gypergeometric differential equations, inverse problems in the analytic theory of differential equations, topology of the complements of generalized discriminant amoebas.
T. M. Sadykov, “On a multidimensional system of differential hypergeometric equations”, Siberian Math. J., 39:5 (1998), 986–997
9.
A. A. Kytmanov, A. P. Lyapin, T. M. Sadykov, “Evaluating the Rational Generating Function for the Solution of the Cauchy Problem for a Two-Dimensional Difference Equation with Constant Coefficients”, Programming and Computer Software, 43:2 (2017), 105–111
10.
D. V. Bogdanov, A. A. Kytmanov, T. M. Sadykov, “Algorithmic Computation of Polynomial Amoebas”, Computer Algebra in Scientific Computing (Bucharest, Romania, September 19-23, 2016), Lecture Notes in Computer Science, 9890, eds. Vladimir P. Gerdt, Wolfram Koepf, Werner M. Seiler, Evgenii V. Vorozhtsov, Springer International Publishing, 2016, 87–100http://link.springer.com/chapter/10.1007/978-3-319-45641-6_7
T. M. Sadykov, “Beyond the first class of analytic complexity”, Computer Algebra in Scientific Computing (Lille, France, 17 – 21 September 2018.), Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 11077, eds. Vladimir P. Gerdt, Wolfram Koepf, Werner M. Seiler, Evgenii V. Vorozhtsov, Springer Verlag, 2018, 335–344
20.
S. A. Abramov, A. A. Ryabenko,T. M. Sadykov, “The Second Conference “Computer Algebra” in Moscow”, ACM Communications in Computer Algebra, 51:4 (2018), 103–110
21.
A. I. Normov, T. M. Sadykov, “Analytic complexity of cluster trees”, Prikl. Diskr. Mat., 2014, no. 2, 79–87
Vitaly A. Krasikov, Timur M. Sadykov, “The Newton polytope of the optimal differential operator for an algebraic curve”, Zhurn. SFU. Ser. Matem. i fiz., 6:2 (2013), 200–210
24.
Timur Sadykov, “Sparse hypergeometric systems”, Nauchnye vedomosti belgorodskogo gosudarstvennogo universiteta. Ser. Matem. i fiz., 17:68 (2009), 64–76http://dspace.bsu.edu.ru/handle/123456789/4922
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Timur M. Sadykov, “Hypergeometric Systems with Polynomial Bases”, Zhurn. SFU. Ser. Matem. i fiz., 1:1 (2008), 25–32
26.
F. Lárusson, T. M. Sadykov, “A discrete version of the Riemann–Hilbert problem”, Russian Math. Surveys, 63:5 (2008), 973–975
27.
Timur Sadykov, “Parameterizing and inverting analytic mappings with unit Jacobian”, Mosc. Math. J., 23:3 (2023), 369–400;
Hypergeometric polynomials are optimal T. M. Sadykov Seminar on Problem-solving seminar in commutative algebra, Department of Mathematics, Stockholm University October 11, 2016 13:00