IGOR E. PRITSKER

	Work address: Department of Mathematics Oklahoma State University 401 Mathematical Sciences Stillwater, OK 74078-1058 Phone: (405) 744-8220 Fax: (405) 744-8275 E-mail: igor@math.okstate.edu		Home address: 940 Lake Vista Rd Edmond, OK 73034 Phone: (405) 359-3144 Fax: (405) 359-3144 Web address: http://www.math.okstate.edu/~igor/

Education

05/95 Ph.D. in Mathematics from the University of South Florida, Tampa, Florida. Advisor: E. B. Saff.
08/92-05/95 Graduate study at the University of South Florida, Tampa, Florida
11/90-08/92 Graduate study and research at the Institute for Applied Mathematics and Mechanics, Ukrainian Academy of Sciences, Donetsk, Ukraine
09/83-06/90 B.A., M.S. in Mathematics. Donetsk State University, Donetsk, Ukraine. Diploma with Honors.

Professional Experience

07/07-present Professor at Oklahoma State University
07/03-06/07 Associate Professor at OSU
06/99-06/03 Assistant Professor at OSU
06/97-06/99 Visiting Assistant Professor at Case Western Reserve University
08/95-05/97 Visiting Assistant Professor at Kent State University
08/92-04/95 Graduate Teaching Assistant at the University of South Florida
11/90-08/92 Research at the Department of Function Theory, Institute for Applied Mathematics and Mechanics, Ukrainian Academy of Sciences, Donetsk, Ukraine.

Grants and Honors

05/06-08/08 Humboldt Research Fellowship
03/06-03/08 NSA grant: "Weighted Potentials in Analytic Number Theory"
02/05 Big 12 Faculty Fellowship
06/04 NSF conference grant DMS-0411729: "Constructive Functions Tech-04: An International Conference" (jointly with D. Lubinsky, J. S. Geronimo, and X. Li)
01/03-01/05 NSA grant MDA904-03-1-0081: "Polynomials with Integer Coefficients"
07/99-07/03 NSF grant DMS-9996410: "Polynomials in Analysis and Analytic Number Theory"
05/00 Ralph E. Powe Award from Oak Ridge Associated Universities
06/98-08/00 NSF supplemental grant DMS-9842408: "Potential theory and quasiconformal mappings in zero distribution and weighted approximation" (jointly with V. V. Andrievskii and R. S. Varga)
08/97-07/01 NSF grant DMS-9707359: "Weighted approximation in the complex plane and iterative methods, via potential theory and function theory" (jointly with R. S. Varga)
07/01-06/02 Dean's Incentive Grant: "Spherical convergence of Fourier integrals"
07/00-06/01 Dean's Incentive Grant: "Polynomial inequalities"
10/99-06/01 Kerr grant: "Integer Chebyshev polynomials"
08/93-05/94 Fellowship in Mathematics at USF
06/90 Diploma with Honors at DSU
04/90 First Diploma at XXVIII Research Student Conference of the USSR
04/89 First Diploma at XXVII Research Student Conference of the USSR

Research Interests

Analytic Number Theory, Approximation Theory, Complex Analysis, Numerical Analysis, and Potential Theory.

Conference Talks

11/07 Modern Approaches in Asymptotics of Polynomials (BIRS, Banff, Canada). Organized by P. Borwein, D. Lubinsky, and E. Saff.
06/06 Tag der Funktionentheorie 2006 (Aachen, Germany). Organized by G. Jank, V. Dietrich and S. Orfao.
04/06 Number Theory and Polynomials (Bristol, UK). Organized by J. McKee and C. Smyth.
01/06 Special Session on Mahler Measure and Heights, Annual AMS Meeting (San Antonio, Texas). Organized by M. J. Mossinghoff and J. D. Vaaler.
11/04 Constructive Functions Tech-04 (Atlanta, Georgia). Organized by L. Baratchart, R. DeVore, J. Geronimo, X. Li, A. Kroo, E. Levin, D. Lubinsky, N. Papamichael, I. Pritsker, St. Ruscheweyh, V. Totik and R. Varga.
04/04 Potential Theory and Function Theory (Kent, Ohio). Organized by V. V. Andrievskii.
02/04 Funktionentheorie (Oberwolfach, Germany). Organized by W. Bergweiler, St. Ruscheweyh and E. B. Saff.
06/03 Summer Program on Mahler's Measure of Polynomials (Vancouver, Canada). Organized by S. Choi, P. Borwein, I. Chen, and R. Ferguson.
05/03 Advances in Constructive Approximation, Special Session dedicated to Professor Gaier (Nashville, Tennessee). Organized by N. Papamichael, St. Ruscheweyh, and R. S. Varga.
03/03 Elementary and Analytic Number Theory (Oberwolfach, Germany). Organized by J. Brudern, Y. V. Nesterenko, H. L. Montgomery and R. C. Vaughan.
11/02 Special Session on Computational Methods in Analysis, AMS Meeting (Orlando, Florida). Organized by G. A. Anastassiou.
04/02 27th Arkansas Spring Lectures "Harmonic Analysis, Multilinear Operators, and Schrodinger Operators" (Fayetteville, Arkansas). Organized by L. Capogna and L. Lanzani.
03/02 Special Session on Harmonic Analysis, AMS Meeting (Atlanta, Georgia). Organized by G. Mockenhaupt, M. T. Lacey and A. Magyar.
06/01 Computational Methods and Function Theory 2001 (Aveiro, Portugal). Organized by H. R. Malonek, N. Papamichael, St. Ruscheweyh and E. B. Saff.
03/01 Special Session on Complex Variables, AMS Meeting (Lawrence, Kansas). Organized by P. Poggi-Corradini.
03/01 Tenth International Conference on Approximation Theory (St. Louis, Missouri). Organized by C. K. Chui, L. L. Schumaker and J. Stoeckler.
12/00 Session on Classical and Computational Analysis, CMS Winter Meeting (Vancouver, Canada). Organized by P. B. Borwein.
08/00 Mathematical Challenges of the 21st Century (Los Angeles, California). Organized by AMS.
05/00 Millennial Conference on Number Theory (Urbana, Illinois). Organized by B. C. Berndt, N. Boston, H. Diamond, A. J. Hildebrand and W. Philipp.
06/99 International Conference on Rational Approximation (ICRA '99, Antwerp, Belgium). Organized by A. Cuyt and B. Verdonk.
03/99 Special Session on Diophantine Equations, Inequalities and Related Arithmetic Problems, AMS Meeting (Urbana, Illinois). Organized by M. Bennett and T. Wooley.
01/99 Special Session on Bergman Spaces and Related Topics, Annual AMS Meeting (San Antonio, Texas). Organized by P. L. Duren and M. Stessin.
03/98 Special Session on Modern Function Theory, AMS Meeting (Louisville, Kentucky). Organized by D. Minda and D. A. Herron.
01/98 Ninth International Conference on Approximation Theory (Nashville, Tennessee). Organized by C. K. Chui and L. L. Schumaker.
10/97 Computational Methods and Function Theory (CMFT '97, Nicosia, Cyprus). Organized by N. Papamichael, St. Ruscheweyh and E. B. Saff.
01/96 Session on Complex Analysis, Annual AMS Meeting (Orlando, Florida).
03/95 Constructive Methods in Complex Analysis (Oberwolfach, Germany). Organized by D. Gaier and R. S. Varga.
03/94 Special Semester in Approximation Theory (Tel-Aviv, Israel). Organized by A. Pinkus, Y. Brudnyi, N. Dyn and D. Leviatan.
05/91 USA-USSR conference "Methods of complex analysis in approximation theory and mathematical physics" (Leningrad, USSR). Organized by A. A. Gonchar and E. B. Saff.

Conferences Organized

11/04 Constructive Functions Tech-04 (Atlanta, Georgia).

Preprints

44. P. B. Borwein and I. E. Pritsker, The multivariate integer Chebyshev problem.
43. I. E. Pritsker and S. Ruscheweyh, Inequalities for products of polynomials II.

Accepted Papers

42. A. Baernstein II, R. S. Laugesen, and I. E. Pritsker, Moment inequalities for equilibrium measures in the plane, Pure Appl. Math. Q. (to appear)
41. I. E. Pritsker, How to find a measure from its potential, Comp. Methods and Function Theory (to appear)
40. I. E. Pritsker, Polynomial inequalities, Mahler's measure, and multipliers, in "Number theory and polynomials" (Conference proceedings, University of Bristol, 3-7 April 2006, editors James McKee and Chris Smyth), LMS Lecture Notes. (to appear)
39. I. E. Pritsker and S. Ruscheweyh, Inequalities for products of polynomials I, Math. Scand. (to appear)
38. I. E. Pritsker, An areal analog of Mahler's measure, Illinois J. Math. (to appear)

Published Papers

37. I. E. Pritsker, Distribution of primes and a weighted energy problem, Electr. Trans. Numer. Anal. 25 (2006), 259-277.
36. I. E. Pritsker, Weighted energy problem on the unit circle, Constr. Approx. 23 (2006), 103-120.
35. I. E. Pritsker, Small polynomials with integer coefficients, J. d'Analyse Math. 96 (2005), 151-190.
34. I. E. Pritsker, The Gelfond-Schnirelman method in prime number theory, Canad. J. Math. 57 (2005), 1080-1101.
33. I. E. Pritsker, Convergence of Julia polynomials, J. d'Analyse Math. 94 (2004), 343-361.
32. I. E. Pritsker, Approximation of conformal mapping via the Szego kernel method, Comp. Methods and Function Theory 3 (2003), 79-94.
31. R. S. Laugesen and I. E. Pritsker, Potential theory of the farthest-point distance function, Canad. Math. Bull. 46 (2003), 373-387.
30. P. B. Borwein, C. G. Pinner and I. E. Pritsker, Monic integer Chebyshev problem, Math. Comp. 72 (2003), 1901-1916.
29. I. E. Pritsker, Derivatives of Faber polynomials and Markov inequalities, J. Approx. Theory 118 (2002), 163-174.
28. I. E. Pritsker, Norms of products and factors of polynomials, in "Number Theory for the Millennium III," M. A. Bennett, B. C. Berndt, N. Boston, H. Diamond, A. J. Hildebrand and W. Philipp (eds.), pp. 173-189, A K Peters, Ltd., Natick, 2002.
27. I. E. Pritsker, Products of polynomials in uniform norms, Trans. Amer. Math. Soc. 353 (2001), 3971-3993.
26. V. V. Andrievskii, I. E. Pritsker and R. S. Varga, Simultaneous approximation and interpolation of functions on continua in the complex plane, J. Math. Pures Appl. 80 (2001), 373-388.
25. I. E. Pritsker, An inequality for the norm of a polynomial factor, Proc. Amer. Math. Soc. 129 (2001), 2283-2291.
24. V. V. Andrievskii, I. E. Pritsker and R. S. Varga, On zeros of polynomials orthogonal over a convex domain, Constr. Approx. 17 (2001), 209-225.
23. V. V. Andrievskii and I. E. Pritsker, Convergence of Bieberbach polynomials in domains with interior cusps, J. d'Analyse Math. 82 (2000), 315-332.
22. I. E. Pritsker, Chebyshev polynomials with integer coefficients, in "Analytic and Geometric Inequalities and Applications", Th. M. Rassias and H. M. Srivastava (eds.), pp. 335-348, Kluwer Acad. Publ., Dordrecht, 1999.
21. I. E. Pritsker, On the local asymptotics of Faber polynomials, Proc. Amer. Math. Soc. 127 (1999), 2953-2960.
20. I. E. Pritsker and R. S. Varga, Rational approximation with varying weights in the complex plane, in "Computational methods and function theory" (CMFT '97, Nicosia, Cyprus), N. Papamichael, St. Ruscheweyh and E. B. Saff (eds.), pp. 437-448, World Scientific Publishing Co., Singapore, 1999.
19. A. Kroo and I. E. Pritsker, A sharp version of Mahler's inequality for products of polynomials, Bull. London Math. Soc. 31 (1999), 269-278.
18. I. E. Pritsker and R. S. Varga, Weighted rational approximation in the complex plane, J. Math. Pures Appl. 78 (1999), 177-202.
17. I. E. Pritsker, Weighted approximation on compact sets, in "Approximation Theory IX", C. K. Chui and L. L. Schumaker (eds.), vol. I, pp. 271-278, Vanderbilt University Press, Nashville, 1998.
16. I. E. Pritsker, Polynomial approximation with varying weights on compact sets of the complex plane, Proc. Amer. Math. Soc. 126 (1998), 3283-3292.
15. I. E. Pritsker and R. S. Varga, Weighted polynomial approximation in the complex plane, Constr. Approx. 14 (1998), 475-492.
14. I. E. Pritsker and R. S. Varga, Zero distribution, the Szego curve, and weighted approximation in the complex plane, in "Modeling and Computation for Application in Science and Engineering" (May 1996, Northwestern University, Evanston), pp. 167-188, Oxford Univ. Press, Oxford, 1998.
13. I. E. Pritsker, Comparing norms of polynomials in one and several variables, J. Math. Anal. Appl. 216 (1997), 685-695.
12. I. E. Pritsker and R. S. Varga, The Szego curve, zero distribution and weighted approximation, Trans. Amer. Math. Soc. 349 (1997), 4085-4105.
11. N. Papamichael, I. E. Pritsker, E. B. Saff and N. S. Stylianopoulos, Approximation of conformal mappings of annular regions, Numer. Math. 76 (1997), 489-513.
10. N. Papamichael, I. E. Pritsker and E. B. Saff, Asymptotic zero distribution of Laurent-type rational functions, J. Approx. Theory 89 (1997), 58-88.
9. I. E. Pritsker and R. S. Varga, Weighted polynomial approximation in the complex plane, Electr. Res. Announ. Amer. Math. Soc. 3 (1997), 38-44.
8. R. S. Varga and I. E. Pritsker, On a counterexample in the theory of polynomials having concentration at low degrees, Analysis 16 (1996), 365-378.
7. I. E. Pritsker, Ray sequences of Laurent-type rational functions, Electr. Trans. Numer. Anal. 4 (1996), 106-124.
6. I. E. Pritsker and R. S. Varga, Boundary singularities of Faber and Fourier series, Analysis 16 (1996), 283-295.
5. V. I. Belyi and I. E. Pritsker, On the curved wedge condition and the continuity moduli of conformal mappings, Ukrainian Math. J. 45 (1994), 837-844.
4. I. E. Pritsker, Continuity of harmonically conjugate functions in Jordan domains, Ukrainian Math. J. 44 (1993), 1288-1291.
3. I. E. Pritsker, On the convergence of Bieberbach polynomials in domains with interior zero angles, (In "Methods of approximation theory in complex analysis and mathematical physics", Leningrad, 1991. A. A. Gonchar and E. B. Saff, eds.), Lecture Notes in Math. 1550 (1992), 169-172.
2. I. E. Pritsker, On the comparison of the polynomial norms and approximation by Fourier sums in Jordan domains, Dokl. Akad. Nauk Ukr., 1991, #9, 30-34.(Russian)
1. I. E. Pritsker, Order comparison of norms of polynomials in regions of the complex plane, Ukrainian Math. J. 43 (1992), 1190-1193.

Students

Abdurashid Abdurahman, Ya Jin, Danae Engelkes, Semyon Galperin, Ildus Ahmadullin.

References

D. E. Alspach, Department of Mathematics, Oklahoma State University, 401 Mathematical Sciences, Stillwater, OK 74078.

A. Baernstein II, Department of Mathematics, Washington University, St. Louis, MO 63130.

P. B. Borwein, Department of Mathematics and Statistics, Simon Fraser University, Burnaby, B.C., V5A 1S6, Canada.

D. S. Lubinsky, School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332.

E. B. Saff, Center for Constructive Approximation, Department of Mathematics, Vanderbilt University, Nashville, TN 37240.

R. S. Varga, Institute for Computational Mathematics, Department of Mathematics, Kent State University, Kent, OH 44242.