Maxim L. Yattselev

Associate Professor, Mathematical Sciences

Office:
LD 270C
Phone:
(317) 278-9646
Email:
maxyatts@iupui.edu
Website:
http://math.iupui.edu/~maxyatts/
Research Areas:
Mathematical Physics

Research

Prof. Yattselev's current research interests are concentrated in the following directions:

  • meromorphic approximation
  • multiple orthogonal polynomials
  • random polynomials

Education

  • 2007 PhD (Mathematics), Vanderbilt University

Publications & Professional Activity

Root statistics of random polynomials with bounded Mahler measure (with C.D. Sinclair) Adv. Math., 272, 124—199, 2015

Padé approximants for functions with branch points — strong asymptotics of Nuttall–Stahl polynomials (with A.I. Aptekarev) Acta Math., 215(2), 217—280, 2015

Nuttall's theorem with analytic weights on algebraic S–contours, J. Approx. Theory, 190, 73—90, 2015

Weighted extremal domains and best rational approximation (with L. Baratchart and H. Stahl) Adv. Math. 229, 357—407, 2012

Convergent interpolation to Cauchy integrals over analytic arcs with Jacobi–type weights (with L. Baratchart) Int. Math. Res. Not. IMRN 2010, Art. ID rnq 026, pp. 65

On uniform approximation of rational perturbations of Cauchy integrals, Comput. Methods Funct. Theory, 10(1), 1—33, 2010

Convergent interpolation to Cauchy integrals over analytic arcs (with L. Baratchart) Found. Comput. Math. 9(6), 675—715, 2009