
Ilgiz Kayumov
Education
19891994 
M.Sc.,Kazan State University, Russia Thesis Title:
Estimates for Bloch functions Advisor: Prof. Farit Avkhadiev

19941997 
Ph.D., Kazan State University, Russia Thesis Title:
Extremal problems in certain classes of analytic functions Advisor:
Prof. Farit Avkhadiev

2006 
Dr.Sc., Inst. of Math. and Mech., Ekaterinburg, Russia Thesis Title:
Integral characteristics of conformal maps

Professional Experience
September 1989  June 1994 
Kazan State University, Faculty of Mech. and
Math.,Student 
September 1994  November 1997
 Kazan State University, Inst. of Math. and Mech., PhD
Student

January 1998  present
 Kazan State University, Inst. of Math. and Mech.,
Researcher, Senior Researcher

September 2000  August 2001
 University of Wuerzburg, Germany, Postdoctoral Fellow

JanuaryJune 2002
 The MittagLeffler Institute, Djursholm, Sweden,
Postdoctoral Fellow, Special program on Conformal Mappings and
Probability

September 2003  September 2005
 Kazan State University, Faculty of Mech. and Math.,
Assistant Professor

September 2005  present
 Kazan Federal University, Institute of Mech. and Math.,
Associate Professor

August 2006  July 2007
 University of Illinois at UrbanaChampaign, Visiting Professor

Conference Presentations
May, 1996
 International Conference dedicated to P.L.Chebyshev,
Organized by the Moscow State University, Russia

August, 1998
 International Congress of Mathematicians, Berlin, Germany

August, 1999
 RomanianFinnish seminar on Complex Analysis, Organized by
Romanian Academy of Sciences, Yassy, Romania

July, 2000
 Europeen Congress of Mathematicians, Barcelona, Spain

June, 2001
 International Conference "Computational Methods and
Function Theory", Organized by the University of Aveiro, Portugal

May 2329, 2005
 International conference and workshop "Function Spaces,
Approximation Theory, Nonlinear Analysis " dedicated to the centennial
of Sergei Mikhailovich Nikolskii, Moscow, Russia

June 1317, 2005
 International conference "Computational methods and
function theory", Joensuu, Finland

July 2429, 2005
 Workshop on "Fourier series methods in complex analysis" at
the Mekrijarvi Research Station, Joensuu, Finland 
Delivered lectures
19932005
 Kazan State University, Russia

1995, 1996
 Saratov State University, Russia

2000, 2001
 University of Wuerzburg, Germany

2002
 The MittagLeffler Institute, Djursholm, Sweden

2002
 Royal Institute of Technology, Stockholm, Sweden

2004
 Steklov Mathematical Institute, Moscow

2005
 Petrozavodsk State University, Russia

2005
 Moscow State University, Russia

2006
 St.Petersburg State University, Russia

Publications

Hedenmalm H., Kayumov I.R. On the Makarov law of the iterated logarithm. Proc. Amer. Math. Soc. 135 (2007), 22352248.
 Kayumov, Ilgiz R. Lower estimates for integral means of univalent
functions. Ark. Mat. 44 (2006), no. 1, 104110.
 Kayumov, I. R. On Brennan's conjecture for a special class of functions.
Math. Notes 78 (2005), no. 34, 498502.
 Kayumov, I. R.; Obnosov, Yu. V. Estimates for integral means of hyperbolic
convex functions. Siberian Math. J. 46 (2005), no. 6, 10621068.
 Kayumov, I. R. The spectrum of integral means and a modified Bessel
function of zero order. St. Petersburg Math. J. 17 (2006), no. 3, 453463.
 Kayumov, I. R. Sharp estimates for the integral means of three classes of
domains. Math. Notes 76 (2004), no. 34, 472477.
 Avkhadiev, F. G.; Kayumov, I. R. Comparison theorems of isoperimetric type
for moments of compact sets. Collect. Math. 55 (2004), no. 1, 19.
 Kayumov, I. R. A distortion theorem for univalent gap series. Siberian
Math. J. 44 (2003), no. 6, 9971002.
 Kayumov, I. R. The law of the iterated logarithm for locally univalent
functions. Ann. Acad. Sci. Fenn. Math. 27 (2002), no. 2, 357364.
 Kayumov, Ilgiz. Lower estimate for the integral means spectrum for p=1.
Proc. Amer. Math. Soc. 130 (2002), no. 4, 10051007.
 Kacimov, A.R.; Kayumov, I.R. Viscous flow through straight pore channels.
J. Porous Media 5 (2002), no. 3, 199208.
 Kayumov, I. R. Lower estimates for the integral means spectrum. Complex
Variables Theory Appl. 44 (2001), no. 2, 165171.
 Kayumov, I. R. The integral means spectrum for lacunary series. Ann. Acad.
Sci. Fenn. Math. 26 (2001), no. 2, 447453.
 Kayumov, I. R. One property of Schwarzian derivative. Demonstratio Math.
34 (2001), no. 1, 6568.
 Avhadiev, F. G.; Kayumov, I. R. Admissible functionals and infinitevalent
functions. Complex Variables Theory Appl. 38 (1999), no. 1, 3545.
 Kayumov, I. R. On an extremal problem in airfoil theory. Russian Math.
(Iz. VUZ) 42 (1998), no. 11, 3944.
 Bilchenko, G. G.; Kayumov, I. R.; Nasyrov, S. R.; Sadykov, M. F. Branched
coverings of nonorientable surfaces by orientable ones
with a given
projection of the boundary. Math. Notes 63 (1998), no. 12, 252255.
 Avkhadiev, F. G.; Kayumov, I. R. Estimates in the Bloch class and their
generalizations. (Russian) Dokl. Akad. Nauk 349 (1996), no. 5, 583585.
 Kayumov, I. R. Generalization and application of a theorem of Radon.
Russian Math. (Iz. VUZ) 40 (1996), no. 4, 3336.
 Avhadiev, F. G.; Kayumov, I. R. Estimates for Bloch functions and their
generalization. Complex Variables Theory Appl. 29 (1996), no. 3, 193201.


