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Mednykh, Alexander Dmitrievich
Professor
Doctor of physico-mathematical sciences
E-mail: ,

Biography


https://www.mathnet.ru/eng/person18128
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/122880

Publications in Math-Net.Ru Citations
2024
1. Y. S. Kwon, A. D. Mednykh, I. A. Mednykh, “On the structure of Laplacian characteristic polynomial of circulant graphs”, Dokl. RAN. Math. Inf. Proc. Upr., 515 (2024),  34–39  mathnet  elib; Dokl. Math., 109:1 (2024), 25–29
2023
2. U. P. Kamalov, A. B. Kutbaev, A. D. Mednykh, “The generating function is rational for the number of rooted forests in a circulant graph”, Mat. Tr., 26:2 (2023),  129–137  mathnet; Siberian Adv. Math., 33:4 (2023), 322–328
3. A. D. Mednykh, I. A. Mednykh, “Cyclic coverings of graphs. Counting rooted spanning forests and trees, Kirchhoff index, and Jacobians”, Uspekhi Mat. Nauk, 78:3(471) (2023),  115–164  mathnet  mathscinet  zmath; Russian Math. Surveys, 78:3 (2023), 501–548  isi  scopus 1
2022
4. Y. S. Kwon, A. D. Mednykh, I. A. Mednykh, “On Jacobian group and complexity of the $Y$-graph”, Sib. Èlektron. Mat. Izv., 19:2 (2022),  662–673  mathnet  mathscinet
2021
5. A. D. Mednykh, I. A. Mednykh, “Plans' periodicity theorem for Jacobian of circulant graphs”, Dokl. RAN. Math. Inf. Proc. Upr., 498 (2021),  51–54  mathnet  zmath  elib; Dokl. Math., 103:3 (2021), 139–142  scopus 2
6. A. D. Mednykh, “Fixed points of cyclic groups acting purely harmonically on a graph”, Sib. Èlektron. Mat. Izv., 18:1 (2021),  617–621  mathnet  isi
2020
7. A. D. Mednykh, I. A. Mednykh, “Kirchhoff index for circulant graphs and its asymptotics”, Dokl. RAN. Math. Inf. Proc. Upr., 494 (2020),  43–47  mathnet  zmath  elib; Dokl. Math., 102:2 (2020), 392–395 4
8. A. D. Mednykh, I. A. Mednykh, “On the structure of the critical group of a circulant graph with non-constant jumps”, Uspekhi Mat. Nauk, 75:1(451) (2020),  197–198  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 75:1 (2020), 190–192  isi  scopus 1
2019
9. G. A. Baigonakova, A. D. Mednykh, “Elementary formulas for Kirchhoff index of Möbius ladder and Prism graphs”, Sib. Èlektron. Mat. Izv., 16 (2019),  1654–1661  mathnet  isi 2
2018
10. D. A. Derevnin, A. D. Mednykh, “Mirror symmetries of hyperbolic tetrahedral manifolds”, Sib. Èlektron. Mat. Izv., 15 (2018),  1850–1856  mathnet  isi
2017
11. E. S. Kudina, A. D. Mednykh, “On the asymptotics of volume for non-Euclidean simplices”, Uspekhi Mat. Nauk, 72:5(437) (2017),  195–196  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 72:5 (2017), 974–976  isi  scopus 2
12. A. D. Mednykh, I. A. Mednykh, R. Nedelya, “On the Oikawa and Arakawa theorems for graphs”, Trudy Inst. Mat. i Mekh. UrO RAN, 23:4 (2017),  243–252  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 304, suppl. 1 (2019), S133–S140  isi
2016
13. N. V. Abrosimov, E. S. Kudina, A. D. Mednykh, “Volumes of hyperbolic hexahedra with $\overline{3}$-symmetry”, Sib. Èlektron. Mat. Izv., 13 (2016),  1150–1158  mathnet 2
14. Ji-Young Ham, J. Lee, A. Mednykh, A. Rasskazov, “An explicit volume formula for the link $7_3^2 (\alpha, \alpha)$ cone-manifolds”, Sib. Èlektron. Mat. Izv., 13 (2016),  1017–1025  mathnet  isi 3
15. A. D. Mednykh, I. A. Mednykh, “The equivalence classes of holomorphic mappings of genus 3 Riemann surfaces onto genus 2 Riemann surfaces”, Sibirsk. Mat. Zh., 57:6 (2016),  1346–1360  mathnet  elib; Siberian Math. J., 57:6 (2016), 1055–1065  isi  scopus 1
16. A. Mednykh, R. Nedela, “Recent progress in enumeration of hypermaps”, Zap. Nauchn. Sem. POMI, 446 (2016),  139–164  mathnet  mathscinet; J. Math. Sci. (N. Y.), 226:5 (2017), 635–654  scopus 1
2015
17. A. D. Mednykh, D. Yu. Sokolova, “On the existence of Euclidean structure on the figure eight knot with a bridge”, Yakutian Mathematical Journal, 22:4 (2015),  32–42  mathnet  elib
18. E. S. Kudina, A. D. Mednykh, “On the pseudo-volume of a hyperbolic tetrahedron”, Yakutian Mathematical Journal, 22:4 (2015),  12–20  mathnet  elib
19. N. V. Abrosimov, E. S. Kudina, A. D. Mednykh, “On the volume of a hyperbolic octahedron with $\overline3$-symmetry”, Trudy Mat. Inst. Steklova, 288 (2015),  7–15  mathnet  elib; Proc. Steklov Inst. Math., 288 (2015), 1–9  isi  scopus 8
2013
20. M. A. Deryagina, A. D. Mednykh, “On the Belyi functions of planar circular maps”, Fundam. Prikl. Mat., 18:6 (2013),  111–133  mathnet  mathscinet; J. Math. Sci., 209:2 (2015), 237–257  scopus
21. M. A. Deryagina, A. D. Mednykh, “On the enumeration of circular maps with given number of edges”, Sibirsk. Mat. Zh., 54:4 (2013),  788–806  mathnet  mathscinet; Siberian Math. J., 54:4 (2013), 624–639  isi  scopus 2
2012
22. A. D. Mednykh, “О формуле Брахмагупты в геометрии Лобачевского”, Mat. Pros., Ser. 3, 16 (2012),  172–180  mathnet
23. A. D. Mednykh, “Brahmagupta formula for cyclic quadrilaterals in the hyperbolic plane”, Sib. Èlektron. Mat. Izv., 9 (2012),  247–255  mathnet 9
2011
24. A. A. Kolpakov, A. D. Mednykh, M. G. Pashkevich, “A volume formula for $\mathbb Z_2$-symmetric spherical tetrahedra”, Sibirsk. Mat. Zh., 52:3 (2011),  582–599  mathnet  mathscinet; Siberian Math. J., 52:3 (2011), 456–470  isi  scopus 4
2010
25. R. A. Hydalgo, A. D. Mednykh, “Geometric orbifolds with torsion free derived subgroup”, Sibirsk. Mat. Zh., 51:1 (2010),  48–61  mathnet  mathscinet; Siberian Math. J., 51:1 (2010), 38–47  isi  scopus 1
2009
26. D. A. Derevnin, A. D. Mednykh, “The Volume of the Lambert Cube in Spherical Space”, Mat. Zametki, 86:2 (2009),  190–201  mathnet  mathscinet  zmath  elib; Math. Notes, 86:2 (2009), 176–186  isi  scopus 12
27. A. A. Kolpakov, A. D. Mednykh, “Spherical structures on torus knots and links”, Sibirsk. Mat. Zh., 50:5 (2009),  1083–1096  mathnet  mathscinet; Siberian Math. J., 50:5 (2009), 856–866  isi  scopus 7
28. O. A. Danilov, A. D. Mednykh, “Discrete Analytical Functions of Several Variables and Taylor Expansion”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 9:2 (2009),  38–46  mathnet 4
2007
29. A. D. Mednykh, A. Yu. Vesnin, “Löbell manifolds revised”, Sib. Èlektron. Mat. Izv., 4 (2007),  605–609  mathnet  mathscinet  zmath 2
2006
30. A. D. Mednykh, M. G. Pashkevich, “Elementary formulas for a hyperbolic tetrahedron”, Sibirsk. Mat. Zh., 47:4 (2006),  831–841  mathnet  mathscinet  zmath  elib; Siberian Math. J., 47:4 (2006), 687–695  isi  elib  scopus 14
31. A. D. Mednykh, C. Petronio, “Hyperbolic 3-Manifolds with Geodesic Boundary: Enumeration and Volume Calculation”, Trudy Mat. Inst. Steklova, 252 (2006),  167–183  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 252 (2006), 155–171  scopus
2005
32. D. A. Derevnin, A. D. Mednykh, “A formula for the volume of a hyperbolic tetrahedon”, Uspekhi Mat. Nauk, 60:2(362) (2005),  159–160  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 60:2 (2005), 346–348  isi  elib  scopus 40
2004
33. D. A. Derevnin, A. D. Mednykh, M. G. Pashkevich, “On the volume of a symmetric tetrahedron in hyperbolic and spherical spaces”, Sibirsk. Mat. Zh., 45:5 (2004),  1022–1031  mathnet  mathscinet  zmath; Siberian Math. J., 45:5 (2004), 840–848  isi 26
2001
34. A. Yu. Vesnin, A. D. Mednykh, B. Tsimmermann, “Surgeries on small volume hyperbolic 3-orbifolds”, Sibirsk. Mat. Zh., 42:2 (2001),  318–331  mathnet  mathscinet  zmath; Siberian Math. J., 42:2 (2001), 271–281  isi 3
1999
35. A. Yu. Vesnin, A. D. Mednykh, “Spherical Coxeter groups and hyperelliptic 3-manifolds”, Mat. Zametki, 66:2 (1999),  173–177  mathnet  mathscinet  zmath; Math. Notes, 66:2 (1999), 135–138  isi 4
36. A. Yu. Vesnin, A. D. Mednykh, “Three-dimensional hyperbolic manifolds of small volume with three hyperelliptic involutions”, Sibirsk. Mat. Zh., 40:5 (1999),  1035–1051  mathnet  mathscinet  zmath; Siberian Math. J., 40:5 (1999), 873–886  isi 7
37. A. Yu. Vesnin, A. D. Mednykh, “Three-dimensional hyperelliptic manifolds and Hamiltonian graphs”, Sibirsk. Mat. Zh., 40:4 (1999),  745–763  mathnet  mathscinet  zmath; Siberian Math. J., 40:4 (1999), 628–643  isi 8
1996
38. A. Yu. Vesnin, A. D. Mednykh, “The Heegaard genus of hyperbolic 3-manifolds of small volume”, Sibirsk. Mat. Zh., 37:5 (1996),  1013–1018  mathnet  mathscinet  zmath; Siberian Math. J., 37:5 (1996), 893–897  isi 3
39. A. Yu. Vesnin, A. D. Mednykh, “Fibonacci manifolds as two-fold coverings of the three-dimensional sphere and the Meyerhoff–Neumann conjecture”, Sibirsk. Mat. Zh., 37:3 (1996),  534–542  mathnet  mathscinet  zmath; Siberian Math. J., 37:3 (1996), 461–467  isi 13
1995
40. A. Yu. Vesnin, A. D. Mednykh, “Hyperbolic volumes of Fibonacci manifolds”, Sibirsk. Mat. Zh., 36:2 (1995),  266–277  mathnet  mathscinet  zmath; Siberian Math. J., 36:2 (1995), 235–245  isi 22
1994
41. A. Yu. Vesnin, A. D. Mednykh, “Limit ordinals in the Thurston–Jorgensen theorem on the volumes of three-dimensional hyperbolic manifolds”, Dokl. Akad. Nauk, 336:1 (1994),  7–10  mathnet  mathscinet  zmath; Dokl. Math., 49:3 (1994), 435–439 1
1988
42. D. A. Derevnin, A. D. Mednykh, “Geometric properties of discrete groups acting with fixed points in a Lobachevskii space”, Dokl. Akad. Nauk SSSR, 300:1 (1988),  27–30  mathnet  mathscinet  zmath; Dokl. Math., 37:3 (1988), 614–617 1
1987
43. A. D. Mednykh, “The isometry group of the hyperbolic space of a Seifert–Weber dodecahedron”, Sibirsk. Mat. Zh., 28:5 (1987),  134–144  mathnet  mathscinet  zmath; Siberian Math. J., 28:5 (1987), 798–806  isi 3
1986
44. A. D. Mednykh, G. G. Pozdnyakova, “The number of nonequivalent coverings over a compact nonorientable surface”, Sibirsk. Mat. Zh., 27:1 (1986),  123–131  mathnet  mathscinet  zmath; Siberian Math. J., 27:1 (1986), 99–106  isi 24
1985
45. A. D. Mednykh, “Groups of automorphisms of three-dimensional hyperbolic manifolds”, Dokl. Akad. Nauk SSSR, 285:1 (1985),  40–44  mathnet  mathscinet  zmath 4
1984
46. A. D. Mednykh, “Nonequivalent coverings of Riemann surfaces with a prescribed ramification type”, Sibirsk. Mat. Zh., 25:4 (1984),  120–142  mathnet  mathscinet  zmath; Siberian Math. J., 25:4 (1984), 606–625  isi 23
1982
47. A. D. Mednykh, “On the Hurwitz problem on the number of inequivalent coverings over a compact Riemann surface”, Sibirsk. Mat. Zh., 23:3 (1982),  155–160  mathnet  mathscinet  zmath; Siberian Math. J., 23:3 (1982), 415–420  isi 9
1981
48. A. D. Mednykh, “On the solution of the Hurwitz problem on the number of nonequivalent coverings over a compact Riemann surface”, Dokl. Akad. Nauk SSSR, 261:3 (1981),  537–542  mathnet  mathscinet  zmath
1979
49. A. D. Mednykh, “On unramified coverings of compact Riemann surfaces”, Dokl. Akad. Nauk SSSR, 244:3 (1979),  529–532  mathnet  mathscinet  zmath
1978
50. A. D. Mednykh, “Determination of the number of nonequivalent coverings over a compact Riemann surface”, Dokl. Akad. Nauk SSSR, 239:2 (1978),  269–271  mathnet  mathscinet  zmath 5
51. A. D. Mednykh, “A class of difference equations with polynomial coefficients”, Sibirsk. Mat. Zh., 19:6 (1978),  1315–1331  mathnet  mathscinet  zmath; Siberian Math. J., 19:6 (1978), 924–936  isi 1
1977
52. A. D. Mednykh, “On an example of a compact Riemann surface with trivial automorphism group”, Dokl. Akad. Nauk SSSR, 237:1 (1977),  32–34  mathnet  mathscinet  zmath
53. A. D. Mednykh, “On branched coverings of Riemann surfaces with the trivial group of covering transformations”, Dokl. Akad. Nauk SSSR, 235:6 (1977),  1267–1269  mathnet  mathscinet  zmath
1975
54. A. D. Mednykh, “On semidirect products of discontinuous transformation groups”, Dokl. Akad. Nauk SSSR, 225:5 (1975),  1016–1017  mathnet  mathscinet  zmath
2017
55. N. V. Abrosimov, V. V. Aseev, A. Yu. Vesnin, A. D. Mednykh, I. A. Mednykh, A. V. Tetenov, “Viktor Vasil’evich Chueshev is 70”, Sib. Èlektron. Mat. Izv., 14 (2017),  69–79  mathnet
56. N. V. Abrosimov, A. D. Mednykh, I. A. Mednykh, A. V. Tetenov, “Vladislav Vasil'evich Aseev is 70”, Sib. Èlektron. Mat. Izv., 14 (2017),  43–57  mathnet
2016
57. E. V. Konstantinova, D. S. Krotov, A. D. Mednykh, “On Graphs and Groups, Spectra and Symmetries held on August 15–28, 2016, Novosibirsk, Russia”, Sib. Èlektron. Mat. Izv., 13 (2016),  1369–1382  mathnet  isi
2006
58. C. Hog-Angeloni, S. Matveev, A. Mednykh, W. Metzler, “Workshop on geometry and topology of three-dimensional manifolds”, Sib. Èlektron. Mat. Izv., 3 (2006),  1–3  mathnet

Presentations in Math-Net.Ru
1. О спектре и сложности графов Кэли диэдральной группы
A. D. Mednykh

May 27, 2024 09:00
2. Applications of complex analysis in the geometry of polyhedra, knots and links
A. D. Mednykh
Seminar "Complex analysis in several variables" (Vitushkin Seminar)
March 6, 2024 16:45
3. Discrete analytic functions and Taylor series
A. D. Mednykh, O. A. Danilov
Spectral theory, nonlinear problems, and applications
December 9, 2023 13:40
4. Holomorphic mapping of hyperelliptic Riemann surfaces and their generalization
A. D. Mednykh
Constructive Methods of the Theory of Riemann Surfaces and Applications
November 16, 2023 14:45   
5. Спектральные инварианты циклических накрытий графов и их применение в комбинаторном анализе
A. D. Mednykh
Conference on Complex Analysis and its Applications
September 14, 2023 10:00   
6. Geometric methods to solving Schläfli differential equations
A. D. Mednykh
Joint Mathematical seminar of Saint Petersburg State University and Peking University
May 11, 2023 16:00
7. Методы комплексного анализа в теории узлов
A. D. Mednykh

November 7, 2022 16:10
8. Graph Jacobians and homology groups of branched knot covers
A. D. Mednykh
Graphs on surfaces and curves over number fields
October 19, 2022 18:30   
9. Объемы узлов и зацеплений в пространствах постоянной кривизны
A. D. Mednykh
Differential geometry and applications
September 26, 2022 16:45
10. Комбинаторные методы в топологии малых размерностей
A. D. Mednykh
Mathematical Colloquium of the Sobolev Institute of Mathematics
September 8, 2022 16:30
11. Инварианты циклических накрытий графов и полиномы Чебышева
A. D. Mednykh
Complex Approximations, Orthogonal Polynomials and Applications
June 20, 2022 10:15
12. Volumes of knots and links in spaces of constant curvature
A. D. Mednykh
Algebra and geometry: conference on the occasion of V.S. Kulikov 70th birthday
May 23, 2022 11:00   
13. Volumes of knots and links in spaces of constant curvature
A. D. Mednykh
General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences
April 28, 2022 13:00   
14. Holomorphic maps of Riemann surfaces and de Franchis theorem
A. D. Mednykh, I. A. Mednykh
A. D. Aleksandrov Seminar in Geometry
April 25, 2022 17:00
15. Enumeration of trees and forests and Kirchhoff index for circulant graphs
A. D. Mednykh
Complex analysis and mathematical physics
November 9, 2021 16:00
16. Геометрия узлов и зацеплений в пространствах постоянной кривизны
A. D. Mednykh

August 10, 2021 14:30
17. On Kirchhoff index and the number of spanning trees and rooted spanning forests in circulant graphs
A. D. Mednykh
Multidimensional Residues and Tropical Geometry
June 18, 2021 11:00   
18. Объемы узлов в пространствах постоянной кривизны
A. D. Mednykh
Meetings of the Moscow Mathematical Society
April 27, 2021 18:30   
19. A brief history of "small covers" in Siberia
A. D. Mednykh
Algebraic topology and its applications. Postnikov memorial seminar
December 8, 2020 17:30
20. Моделирование двумостовых узлов в пространствах постоянной кривизны
A. D. Mednykh
Characteristic classes and intersection theory
November 26, 2020 18:00   
21. Volumes of two-bridge knots in spaces of constant curvature
A. D. Mednykh
Graphs on surfaces and curves over number fields
June 3, 2020 18:30
22. Hyperbolic knots, links and polyhedra
A. Mednykh
Transformation groups 2017. Conference dedicated to Prof. Ernest B. Vinberg on the occasion of his 80th birthday
December 17, 2017 13:35   
23. Jacobian groups of circulant graphs
A. D. Mednykh

May 25, 2017 11:50   
24. Jacobians of circulant graphs
A. D. Mednykh
III International Conference "Quantum Topology"
June 23, 2016 15:00   
25. Геометрия узлов и зацеплений
A. D. Mednykh
Meetings of the St. Petersburg Mathematical Society
October 4, 2011 18:00
26. Volumes of Polyhedra in Hyperbolic and Spherical Spaces
A. D. Mednykh
General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences
October 3, 2011 13:00   
27. Объемы многогранников, узлов и зацеплений в пространствах постоянной кривизны
A. D. Mednykh
Meetings of the Moscow Mathematical Society
April 21, 2009

Organisations
 
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