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 Boundaryvalue Problems
M. Sc. (cum laudi) in Mathematics, Kazan State University,
USSR (1969)
Undergraduate at the Kazan State University, Faculty of
Mechanics and Mathematics, USSR (19641969)

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 TheorySelected Topics, Inverse Boundaryvalue Problems,
Functional Analysis, Convex Analysis, Methods for the Dirichlet
Boundaryvalue 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 2329, 2005
 Int. Conf. on Algebra and Analysis, Kazan, Russia, July 2  9, 2004
 Int. Conf. on Geometric Analysis and Appl., Volgograd, Russia, May 2430,
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 2730, 2002
 Int. Conf., dedicated to D. F. Egorov, Kazan, Russia, September 1318, 1999
 Int. Conf., dedicated to P. L. Chebyshev, Moscow, Russia, May, 1996
 Int. Workshop on Planar Harmonic Mappings, Technion, Haifa, Israel, May 815,
1995
 IX Int. Conf. on Finite Elements in Fluids, Venice, Italy, October 1521, 1995
 Int. Congress of Mathematics, Zurich, July 210, 1994
 Int. Conf. and the VIIth Romanian  Finnish Seminar on Complex
Analysis, Timishoara, Rumania, August 2327, 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. 89, 532632 (2007).
62. Avkhadiev, F.G.; Chuprunov, A.N. The probability of a successful
allocation of ball groups by boxes. Lobachevskii
J. Math., 25, 37 (2007).
61. Avkhadiev, F.G.; Wirths, K.J. The punishing factors for convex
pairs are 2^n1. Revista Mat. Iberoamericana, 23, No. 3, 847860 (2007).
60. Avkhadiev, F.G.; Wirths, K.J. Punishing factors and Chua's
conjecture. Bull. Belgian Math. Soc., Simon Stevin, 14, 333340 (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, 105109 (2007).
58. Avkhadiev, F.G.; Wirths, K.J. A proof of the Livingston conjecture.
Forum Mathematicum, 19, 149157 (2007).
57. Avkhadiev, F.G.; Wirths, K.J. Subordination under concave
univalent functions. Complex Variables and Elliptic Equations, 52, No. 4, 299305
(2007).
56. Avkhadiev, F.G. HardyType Inequalities on Planar and Spatial Open
Sets. (Russian,
English) Proc. Steklov Inst. Math., 255, 111 (2006); translation from Trudy Mat.
Inst. V. A. Steklova, 255, 818 (2006).
55. Avkhadiev, F.G.; Pommerenke, Ch.; Wirths, K.J. Sharp inequalities for
the coefficients of concave univalent functions. Commentarii Mathematicae Helvetici,
81, 801807 (2006).
54. Avkhadiev, F.G. Hardy type inequalities in higher dimensions with explicit
estimate of constants. Lobachevskii J. Math., 21, 331 (2006).
53. Avkhadiev, F.G.; Wirths, K.J. Punishing Factors for Finitely Connected
Domains. Monatshefte Math., 147, 103115 (2005).
52. Avkhadiev, F.G. A Simple Proof of the GaussWinckler
Inequality. Amer. Math. Monthly, 112, No.5, 459462 (2005).
51. Avkhadiev, F.G.; Kacimov, A.R. Analytic solutions and estimations
for microlevel flows in fracturs. J. Porous Media, 8, No.2, 125148 (2005).
50. Avkhadiev, F.G.; Wirths, K.J. The Conformal Radius as a Function and
its Gradient Image. Israel J. Math., 149, 349374 (2005).
49. Avkhadiev, F.G. New isoperimetric inequalities for moments
of domains and torsional rigidity. (Russian, English) Russ. Math. 48, No.7, 19
(2004); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2004,
48 No.7, 311 (2004).
48. Avkhadiev, F.G. Conformally Invariant Inequalities in Mathematical
Physics . (Russian) Naukoemkie Tekhnol., 5(4), 4751 (2004).
47. Avkhadiev, F.G. Mobius transformations and multiplicative representations
for spherical potentials. Publications de l'Institut Mathematique. Nouvelle serie
(Beograd), Tome 75(89), 253260 (2004).
46. Avkhadiev, F.G.; Kayumov, I.R. Comparison theorems of isoperimetric
type for moments of compact sets. Collectanea Math. 55, no. 1, 19 (2004).
45. Avkhadiev, F.G.; Pommerenke, Ch.; Wirths, K.J. On the coefficients of
concave univalent functions. Math. Nachr. 271, 39 (2004).
44. Avkhadiev, F.G.; Wirths, K.J. SchwarzPick Inequality for Hyperbolic
Domains in the Extended Plane. Geometriae Dedicata, 106, 110 (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), 119130 (2004).
42. Avkhadiev, F.G.; Wirths, K.J. On a conjecture of Livingston. Mathematika, 46(69), No.1, 1923 (2004).
41. Avkhadiev, F.G.; Wirths, K.J. Punishing Factors for Angles. Computational Methods and Function Theory, 3, No.1, 127141 (2003).
40. Avkhadiev, F.G.; Wirths, K.J. SchwarzPick Inequality for Derivatives of Arbitrary Order. Constr. Approx. 19, 265277 (2003).
39. Avkhadiev, F.G.; Salahudinov, R.G. Isoperimetric inequalities for conformal moments of plane domains. J. Inequal. Appl. 7, No.4, 593601 (2002).
38. Avkhadiev, F.G.; Wirths, K.J. Convex holes produce lower bounds for coefficients. Complex Variables,Theory Appl. 47, No.7, 553563 (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, 1724 (2002); translation from Mat.
Zametki 71, No.1, 1826 (2002).
36. Avkhadiev, F.G.; Wirths, K.J. On the coefficient multipliers
theorem of Hardy and Littlewood. Lobachevskii J. Math. 11, 712,
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, 494503 (2001).
34. Avhadiev, F.G.; Salahutdinov, R.G. Bilateral isoperimetric
inequalities for boundary moments of plane domains. Lobachevskii
J. Math. 9, 35, electronic only (2001).
33. Avkhadiev, F.G.; Wirths, K.J. Asymptotically sharp bounds in
the HardyLittlewood inequalities on mean values of analytic
functions. Bull. Lond. Math. Soc. 33, No.6, 695700 (2001).
32. Avhadiev, F.G.; Schulte, N.; Wirths, K.J. On the growth of
nonvanishing analytic functions. Arch. Math. 74, No.5, 356364
(2000).
31. Avhadiev, F.G.; Kayumov, I.R. Admissible functionals and
infinitevalent functions. Complex Variables, Theory Appl. 38,
No.1, 3545 (1999).
30. Avhadiev, Farit; Wirths, KarlJoachim Estimates of
derivatives in an $\alpha$invariant set of analytic functions.
Analysis, 19, No.1, 1927 (1999).
29. Avkhadiev, F.G. Variational conformally invariant inequalities
and their applications. (Russian, English) Dokl. Math. 57, No.2,
278281 (1998); translation from Dokl. Akad. Nauk, Ross. Akad.
Nauk 359, No.6, 727730 (1998).
28. Avkhadiev, F.G. Solution of the generalized Saint Venant
problem. (Russian, English) Sb. Math. 189, No.12, 17391748
(1998); translation from Mat. Sb. 189, No.12, 312 (1998).
27. Avkhadiev, F.G.; Aksent'ev, L.A.; Bil'chenko, G.G. Classes of
univalent and multivalent SchwarzChristoffel integrals and their
applications. (Russian, English) Russ. Math. 41, No.3, 6366
(1997); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1997,
No.3(418), 6467 (1997).
26. Avkhadiev, F.G. Conformal maps and boundaryvalue problems. (Russian) Monograph, ISBN 59000975037,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, 574576 (1996); translation from Dokl. Akad. Nauk, Ross.
Akad. Nauk 349, No.5, 583585 (1996).
24. Avkhadiev, F.G. Conformal mappings that satisfy the boundary
condition of equality of metrics. (Russian, English) Dokl. Math.
53, No.2, 194196 (1996); translation from Dokl. Akad. Nauk 347,
No.3, 295297 (1996).
23. Avkhadiev, F.G.; Elizarov, A.M. Exact bounds of solution to a
variation inverse boundary value problem in a countableconnected
domain. (Russian, English) Russ. Math. 40, No.3, 111 (1996);
translation from Isv. Vyssh. Zaved., Mat. 1996, No.3(406), 313
(1996).
22.Avhadiev, F.G.; Kayumov, I.R. Estimates for Bloch functions
and their generalization. Complex Variables, Theory Appl. 29,
No.3, 193201 (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,
356358 (1995); translation from Dokl. Akad. Nauk, Ross. Akad.
Nauk 343, No.2, 195197 (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, 385398 (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),
8083 (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, 19
(1994); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1994,
No.8(387), 310 (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, 110 (1994); translation from Izv.
Vyssh. Uchebn. Zaved., Mat. 1994, No.7(386), 312 (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, 423428 (1992); translation from Izv. Ross.
Akad. Nauk, Mekh. Zhidk. Gaza 1992, No.3, 155162 (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, 217220 (1990); translation from Dokl.
Akad. Nauk SSSR 307, No.6, 12891292 (1989).
14. Avkhadiev, F.G. Admissible functionals under injectivity
conditions for differentiable mappings of ndimensional domains.
(Russian, English) Sov. Math. 33, No.4, 112 (1989); translation
from Izv. Vyssh. Uchebn. Zaved., Mat. 1989, No.4(323), 312
(1989).
13. Avkhadiev, F.G. On injectivity in the domain of open isolated
mappings with given boundary properties. (Russian, English) Sov.
Math., Dokl. 35, 117120 (1987); translation from Dokl. Akad. Nauk
SSSR 292, 780783 (1987).
12. Avkhadiev, F.G.; Aksent'ev, L.A.; Elizarov, A.M. Sufficient
conditions for the finitevalence of analytic functions and their
applications. (Russian, English) J. Sov. Math. 49, No.1, 715799
(1990); translation from Itogi Nauki Tekh., Ser. Mat. Anal. 25,
3121 (1987).
11. Avkhadiev, F.G.; Aksent'ev, L.A. Progress and problems in
sufficient conditions for finitevalence of analytic functions.
(Russian, English) Sov. Math. 30, No.10, 120 (1986); translation
from Izv. Vyssh. Uchebn. Zaved., Mat. 1986, No.10(293), 316
(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, 112 (1986); translation from Izv. Vyssh. Uchebn.
Zaved., Mat. 1986, No.5(288), 311 (1986).
9. Avkhadiev, F.G. Some geometric inequalities and sufficient
conditions for pvalence. (Russian, English) Sov. Math. 27, No.10,
113 (1983); translation from Izv. Vyssh. Uchebn. Zaved., Mat.
1983, No.10(257), 312 (1983).
8. Avhadiev, F.G. Sufficient conditions for the univalence of
quasiconformal mappings. (Russian, English) Math. Notes 18,
10631067 (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, 163 (1975);
translation from Usp. Mat. Nauk 30, No.4(184), 360 (1975).
6. Avkhadiev, F.G. Sufficient conditions for onesheetedness in
nonconvex domains. (Russian, English) Sib. Math. J. 15(1974),
679685 (1975); translation from Sib. Mat. Zh. 15, 963971 (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, 7882 (1974); translation from Dokl. Akad. Nauk
SSSR 214, 241244 (1974).
4. Avhadiev, F.G.; Aksent'ev, L.A. The subordination principle
in sufficient conditions for univalence. (Russian, English) Sov.
Math., Dokl. 14, 934939 (1973); translation from Dokl. Akad. Nauk
SSSR 211, 1922 (1973).
3. Avkhadiev, F.G.; Aksent'ev, L.A. Sufficient conditions for
univalence of analytic functions. (Russian, English) Sov. Math.,
Dokl. 12, 859863 (1971); translation from Dokl. Akad. Nauk SSSR
198, 743746 (1971).
2. Avkhadiev, F.G. Radii of convexity and closetoconvexity of
certain integral representations. (Russian, English) Math. Notes 7,
350357 (1970); translation from Mat. Zametki 7, 581592 (1970).
1. Avkhadiev, F.G. On sufficient conditions for univalence of
solutions of inverse boundary value problems. (Russian, English)
Sov. Math., Dokl. 11, 109112 (1970); translation from Dokl. Akad.
Nauk SSSR 190, 495498 (1970).
