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Rus

Avkhadiev Farit Gabidinovich
favhadiev@ksu.ru


EDUCATIONAL BACKGROUND

Doctor of Science (D. Sc., Habilitate) in Mathematics, Sobolev Institute of Math. in Siberian branch of Academy of Science, Novosibirsk, USSR (1990).
D. Sc. Thesis: Geometric Properties of Conformal and Locally Quasiconformal Maps with given Boundary Behavior

PhD in Mathematics, Kazan State University, USSR (1972). Advisor: Prof. L. A. Aksent'ev.
PhD Thesis: Some Sufficient Conditions of Univalence and their Applications to Inverse Boundary-value Problems

M. Sc. (cum laudi) in Mathematics, Kazan State University, USSR (1969)

Undergraduate at the Kazan State University, Faculty of Mechanics and Mathematics, USSR (1964-1969)

PROFESSIONAL EMPLOYMENT

1969 - present: Chebotarev Inst. of Math. and Mech. of the Kazan State University / Kazan Federal University:

Researcher (1969 - 1974),
Senior Researcher (1974 - 1990),
Leading Researcher (1990 - 1999),
Principal Researcher (1999 - present),
Head of the Department of Mathematical Analysis (1993 - present),
Head of the Department of Mathematics (1999 - present)

September 1977 - June 1980: University of Annaba, Algeria, Associate Professor
1994 - present: Department of Mathematical Statistics of the Faculty of Computer Science and Cybernetics of the Kazan University, Professor

TEACHING EXPERIENCE

Developed and taught new graduate and undergraduate courses

  • at the Kazan University: Mathematical Analysis, Geometric Function Theory-Selected Topics, Inverse Boundary-value Problems, Functional Analysis, Convex Analysis, Methods for the Dirichlet Boundary-value Problem, Isoperimetric Inequalities in Mathematical Physics, Complex Analysis
  • at the University of Annaba, Algeria (1977 - 1980): Mathematics, Theory of Functions of a Complex Variable, Algebra
  • at the Kazan State Pedagogic University (2 Semesters): Algebra
  • at the Kazan State Academy of Architecture and Constructions (3 Semesters): Mathematics

Advisor for PhD Thesis of 4 Students: F. Kh. Arslanov(1991), I. R. Kayumov (1997), R. G. Salahudinov (1998), Mohamed Sabri Salem Ali (2000)

GRANTS and AWARDS

  • Grants of the Russian Foundation of Basic Research: No 96 - 01 - 00110 (1996 - 1998), No 99 - 01 - 00366 (1999 - 2001), No 02 - 01 - 00168 (2002 - 2004), No 05 - 01 - 00523 (2005 - 2007)
  • Grants of the Deutsche Forschungsgemeinschaft in 1998, 1999, 2001, 2002, 2004, 2005, 2007
  • Mushtary Prize in the field of Mathematics, Mechanics and Technique (2004, Tatarstan Academy of Science competition)
  • Internal Prizes of the Kazan State University for Best Research Paper of the Year (1979, 1983, 1993)

CONFERENCE PRESENTATIONS (incomplete list)

  • Int. Conf. on Function Spaces, Approximation Theory, Nonlinear Analysis, dedicated to the centennial of S. M. Nikolskii, Moscow, Russia, May 23-29, 2005
  • Int. Conf. on Algebra and Analysis, Kazan, Russia, July 2 - 9, 2004
  • Int. Conf. on Geometric Analysis and Appl., Volgograd, Russia, May 24-30, 2004
  • Int.Workshop on Potential Theory and Appl., Kiev, Ukraine, August, 2003
  • Int. Conf. on Geometric Function Theory, dedicated to Herbert Groetzsch, Halle, Germany, May 27-30, 2002
  • Int. Conf., dedicated to D. F. Egorov, Kazan, Russia, September 13-18, 1999
  • Int. Conf., dedicated to P. L. Chebyshev, Moscow, Russia, May, 1996
  • Int. Workshop on Planar Harmonic Mappings, Technion, Haifa, Israel, May 8-15, 1995
  • IX Int. Conf. on Finite Elements in Fluids, Venice, Italy, October 15-21, 1995
  • Int. Congress of Mathematics, Zurich, July 2-10, 1994
  • Int. Conf. and the VII-th Romanian - Finnish Seminar on Complex Analysis, Timishoara, Rumania, August 23-27, 1993
  • I European Congress of Mathematics, Paris, France, July 6 - 10, 1992

LIST of MAIN PUBLICATIONS

63. Avkhadiev, F.G.; Wirths, K.-J. Unified Poincar\'e and Hardy inequalities with sharp constants for convex domains. ZAMM, 14, No. 8-9, 532-632 (2007).

62. Avkhadiev, F.G.; Chuprunov, A.N. The probability of a successful allocation of ball groups by boxes. Lobachevskii J. Math., 25, 3-7 (2007).

61. Avkhadiev, F.G.; Wirths, K.-J. The punishing factors for convex pairs are 2^n-1. Revista Mat. Iberoamericana, 23, No. 3, 847-860 (2007).

60. Avkhadiev, F.G.; Wirths, K.-J. Punishing factors and Chua's conjecture. Bull. Belgian Math. Soc., Simon Stevin, 14, 333-340 (2007).

59. Avkhadiev, F.G.; Wirths, K.-J. Sharp Bounds for Sums of Coefficients of Inverses of Convex Functions. Comp. Methods and Function Theory, 7, No. 1, 105-109 (2007).

58. Avkhadiev, F.G.; Wirths, K.-J. A proof of the Livingston conjecture. Forum Mathematicum, 19, 149-157 (2007).

57. Avkhadiev, F.G.; Wirths, K.-J. Subordination under concave univalent functions. Complex Variables and Elliptic Equations, 52, No. 4, 299-305 (2007).

56. Avkhadiev, F.G. Hardy-Type Inequalities on Planar and Spatial Open Sets. (Russian, English) Proc. Steklov Inst. Math., 255, 1-11 (2006); translation from Trudy Mat. Inst. V. A. Steklova, 255, 8-18 (2006).

55. Avkhadiev, F.G.; Pommerenke, Ch.; Wirths, K.-J. Sharp inequalities for the coefficients of concave univalent functions. Commentarii Mathematicae Helvetici, 81, 801-807 (2006).

54. Avkhadiev, F.G. Hardy type inequalities in higher dimensions with explicit estimate of constants. Lobachevskii J. Math., 21, 3-31 (2006).

53. Avkhadiev, F.G.; Wirths, K.-J. Punishing Factors for Finitely Connected Domains. Monatshefte Math., 147, 103-115 (2005).

52. Avkhadiev, F.G. A Simple Proof of the Gauss-Winckler Inequality. Amer. Math. Monthly, 112, No.5, 459-462 (2005).

51. Avkhadiev, F.G.; Kacimov, A.R. Analytic solutions and estimations for microlevel flows in fracturs. J. Porous Media, 8, No.2, 125-148 (2005).

50. Avkhadiev, F.G.; Wirths, K.-J. The Conformal Radius as a Function and its Gradient Image. Israel J. Math., 149, 349-374 (2005).

49. Avkhadiev, F.G. New isoperimetric inequalities for moments of domains and torsional rigidity. (Russian, English) Russ. Math. 48, No.7, 1-9 (2004); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2004, 48 No.7, 3-11 (2004).

48. Avkhadiev, F.G. Conformally Invariant Inequalities in Mathematical Physics . (Russian) Naukoemkie Tekhnol., 5(4), 47-51 (2004).

47. Avkhadiev, F.G. Mobius transformations and multiplicative representations for spherical potentials. Publications de l'Institut Mathematique. Nouvelle serie (Beograd), Tome 75(89), 253-260 (2004).

46. Avkhadiev, F.G.; Kayumov, I.R. Comparison theorems of isoperimetric type for moments of compact sets. Collectanea Math. 55, no. 1, 1-9 (2004).

45. Avkhadiev, F.G.; Pommerenke, Ch.; Wirths, K.-J. On the coefficients of concave univalent functions. Math. Nachr. 271, 3-9 (2004).

44. Avkhadiev, F.G.; Wirths, K.-J. Schwarz-Pick Inequality for Hyperbolic Domains in the Extended Plane. Geometriae Dedicata, 106, 1-10 (2004).

43. Avkhadiev, F.G.; Wirths, K.-J. Poles Near the Origin Produce Lower Bounds for Coefficients of Meromorphic Univalent Functions. Michigan Math. J. 52(1), 119-130 (2004).

42. Avkhadiev, F.G.; Wirths, K.-J. On a conjecture of Livingston. Mathematika, 46(69), No.1, 19-23 (2004).

41. Avkhadiev, F.G.; Wirths, K.-J. Punishing Factors for Angles. Computational Methods and Function Theory, 3, No.1, 127-141 (2003).

40. Avkhadiev, F.G.; Wirths, K.-J. Schwarz-Pick Inequality for Derivatives of Arbitrary Order. Constr. Approx. 19, 265-277 (2003).

39. Avkhadiev, F.G.; Salahudinov, R.G. Isoperimetric inequalities for conformal moments of plane domains. J. Inequal. Appl. 7, No.4, 593-601 (2002).

38. Avkhadiev, F.G.; Wirths, K.-J. Convex holes produce lower bounds for coefficients. Complex Variables,Theory Appl. 47, No.7, 553-563 (2002).

37. Avkhadiev, F.G.; Maklakov, D.V. New equations of convolution type obtained by replacing the integral by the maximum. (Russian, English) Math. Notes 71, No.1, 17-24 (2002); translation from Mat. Zametki 71, No.1, 18-26 (2002).

36. Avkhadiev, F.G.; Wirths, K.-J. On the coefficient multipliers theorem of Hardy and Littlewood. Lobachevskii J. Math. 11, 7-12, electronic only (2002).

35. Avkhadiev, F.G.; Elizarov, A.M. Bilateral estimates of the critical Mach number for some classes of carrying wing profiles. ANZIAM J. 42, No.4, 494-503 (2001).

34. Avhadiev, F.G.; Salahutdinov, R.G. Bilateral isoperimetric inequalities for boundary moments of plane domains. Lobachevskii J. Math. 9, 3-5, electronic only (2001).

33. Avkhadiev, F.G.; Wirths, K.-J. Asymptotically sharp bounds in the Hardy-Littlewood inequalities on mean values of analytic functions. Bull. Lond. Math. Soc. 33, No.6, 695-700 (2001).

32. Avhadiev, F.G.; Schulte, N.; Wirths, K.-J. On the growth of nonvanishing analytic functions. Arch. Math. 74, No.5, 356-364 (2000).

31. Avhadiev, F.G.; Kayumov, I.R. Admissible functionals and infinite-valent functions. Complex Variables, Theory Appl. 38, No.1, 35-45 (1999).

30. Avhadiev, Farit; Wirths, Karl-Joachim Estimates of derivatives in an $\alpha$-invariant set of analytic functions. Analysis, 19, No.1, 19-27 (1999).

29. Avkhadiev, F.G. Variational conformally invariant inequalities and their applications. (Russian, English) Dokl. Math. 57, No.2, 278-281 (1998); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 359, No.6, 727-730 (1998).

28. Avkhadiev, F.G. Solution of the generalized Saint Venant problem. (Russian, English) Sb. Math. 189, No.12, 1739-1748 (1998); translation from Mat. Sb. 189, No.12, 3-12 (1998).

27. Avkhadiev, F.G.; Aksent'ev, L.A.; Bil'chenko, G.G. Classes of univalent and multivalent Schwarz-Christoffel integrals and their applications. (Russian, English) Russ. Math. 41, No.3, 63-66 (1997); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1997, No.3(418), 64-67 (1997).

26. Avkhadiev, F.G. Conformal maps and boundary-value problems. (Russian) Monograph, ISBN 5-9000975-03-7,Matematika Foundation in Kazan, Kazan, 216 pages (1996).

25. Avkhadiev, F.G.; Kayumov, I.R. Estimates in the Bloch class and their generalizations. (Russian, English) Dokl. Math. 54, No.1, 574-576 (1996); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 349, No.5, 583-585 (1996).

24. Avkhadiev, F.G. Conformal mappings that satisfy the boundary condition of equality of metrics. (Russian, English) Dokl. Math. 53, No.2, 194-196 (1996); translation from Dokl. Akad. Nauk 347, No.3, 295-297 (1996).

23. Avkhadiev, F.G.; Elizarov, A.M. Exact bounds of solution to a variation inverse boundary value problem in a countable-connected domain. (Russian, English) Russ. Math. 40, No.3, 1-11 (1996); translation from Isv. Vyssh. Zaved., Mat. 1996, No.3(406), 3-13 (1996).

22.Avhadiev, F.G.; Kayumov, I.R. Estimates for Bloch functions and their generalization. Complex Variables, Theory Appl. 29, No.3, 193-201 (1996).

21. Avkhadiev, F.G.; Maklakov, D.V. The analytic method for construction of the hydrodynamic profile according to a given cavitation diagram. (Russian, English) Phys.-Dokl. 40, No.7, 356-358 (1995); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 343, No.2, 195-197 (1995).

20. Avkhadiev, F.G.; Elizarov, A.M.; Fokin, D.A. Estimates for critical Mach number under isoperimetric constraints. Eur. J. Appl. Math. 6, No.5, 385-398 (1995).

19. Avkhadiev, F.G.; Shokleva, L.I. Generalizations of certain Beurling's theorem with applications for inverse boundary value problem. (Russian, English) Russ. Math. 38, No.5, 78 81 (1994); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1994, No.5(384), 80-83 (1994).

18. Avkhadiev, F.G.; Shabalina, S.B. Zeros of coefficients of transforms and conditions for the solvability of inverse boundary value problems. (Russian, English) Russ. Math. 38, No.8, 1-9 (1994); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1994, No.8(387), 3-10 (1994).

17. Avkhadiev, F.G.; Maklakov, D.V. A solvability criterion for a problem of design of profiles by cavitation diagram. (Russian, English) Russ. Math. 38, No.7, 1-10 (1994); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1994, No.7(386), 3-12 (1994).

16. Avkhadiev, F.G.; Elizarov, A.M.; Fokin, D.A. Maximization of the critical Mach number for lifting airfoils. (Russian, English) Fluid Dyn. 27, No.3, 423-428 (1992); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 1992, No.3, 155-162 (1992).

15. Avkhadiev, F.G. Estimates in the Zygmund class and their application to boundary value problems. (Russian, English) Sov. Math., Dokl. 40, No.1, 217-220 (1990); translation from Dokl. Akad. Nauk SSSR 307, No.6, 1289-1292 (1989).

14. Avkhadiev, F.G. Admissible functionals under injectivity conditions for differentiable mappings of n-dimensional domains. (Russian, English) Sov. Math. 33, No.4, 1-12 (1989); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1989, No.4(323), 3-12 (1989).

13. Avkhadiev, F.G. On injectivity in the domain of open isolated mappings with given boundary properties. (Russian, English) Sov. Math., Dokl. 35, 117-120 (1987); translation from Dokl. Akad. Nauk SSSR 292, 780-783 (1987).

12. Avkhadiev, F.G.; Aksent'ev, L.A.; Elizarov, A.M. Sufficient conditions for the finite-valence of analytic functions and their applications. (Russian, English) J. Sov. Math. 49, No.1, 715-799 (1990); translation from Itogi Nauki Tekh., Ser. Mat. Anal. 25, 3-121 (1987).

11. Avkhadiev, F.G.; Aksent'ev, L.A. Progress and problems in sufficient conditions for finite-valence of analytic functions. (Russian, English) Sov. Math. 30, No.10, 1-20 (1986); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1986, No.10(293), 3-16 (1986).

10. Avkhadiev, F.G.; Nasyrov, S.R. Construction of a Riemann surface with respect to its boundary. (Russian, English) Sov. Math. 30, No.5, 1-12 (1986); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1986, No.5(288), 3-11 (1986).

9. Avkhadiev, F.G. Some geometric inequalities and sufficient conditions for p-valence. (Russian, English) Sov. Math. 27, No.10, 1-13 (1983); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1983, No.10(257), 3-12 (1983).

8. Avhadiev, F.G. Sufficient conditions for the univalence of quasiconformal mappings. (Russian, English) Math. Notes 18, 1063-1067 (1975); translation from Mat. Zametki 18, 793- 802 (1975).

7. Avhadiev, F.G.; Aksent'ev, L.A. The main results on sufficient conditions for an analytic function to be schlicht. (Russian, English) Russ. Math. Surv. 30, No.4, 1-63 (1975); translation from Usp. Mat. Nauk 30, No.4(184), 3-60 (1975).

6. Avkhadiev, F.G. Sufficient conditions for one-sheetedness in nonconvex domains. (Russian, English) Sib. Math. J. 15(1974), 679-685 (1975); translation from Sib. Mat. Zh. 15, 963-971 (1974).

5. Avhadiev, F.G.; Aksent'ev, L.A. Functions of the Bazilevic class in the disc and in an annulus. (Russian, English) Sov. Math., Dokl. 15, 78-82 (1974); translation from Dokl. Akad. Nauk SSSR 214, 241-244 (1974).

4. Avhadiev, F.G.; Aksent'ev, L.A. The subordination principle in sufficient conditions for univalence. (Russian, English) Sov. Math., Dokl. 14, 934-939 (1973); translation from Dokl. Akad. Nauk SSSR 211, 19-22 (1973).

3. Avkhadiev, F.G.; Aksent'ev, L.A. Sufficient conditions for univalence of analytic functions. (Russian, English) Sov. Math., Dokl. 12, 859-863 (1971); translation from Dokl. Akad. Nauk SSSR 198, 743-746 (1971).

2. Avkhadiev, F.G. Radii of convexity and close-to-convexity of certain integral representations. (Russian, English) Math. Notes 7, 350-357 (1970); translation from Mat. Zametki 7, 581-592 (1970).

1. Avkhadiev, F.G. On sufficient conditions for univalence of solutions of inverse boundary value problems. (Russian, English) Sov. Math., Dokl. 11, 109-112 (1970); translation from Dokl. Akad. Nauk SSSR 190, 495-498 (1970).





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