Anatolii Grinshpan

Ph.D., Mathematics, University of California, Berkeley, 2001
B.A., M.A., Mathematics, St. Petersburg University / University of South Florida, 1995

---

Contact information

Office: Korman 253 Phone: (215) 571-3586 Email: tolya at math.drexel.edu

Department of Mathematics Drexel University Philadelphia, PA 19104

Positions

• Assistant Teaching Professor, 2008-present, Drexel University
• Visiting Assistant Professor, 2006-08, Drexel University
• Visiting Assistant Professor, 2004-06, OSU Stillwater
• Lecturer, Spring 2004, UC Berkeley
• Visiting Scholar, Fall 2003, Caltech
• Bateman Research Instructor, 2001-03, Caltech

Research interests

Analysis: function theory and operator theory, harmonic analysis, potential theory.

Publications and preprints

• Norm-constrained determinantal representations of multivariable polynomials, with D. S. Kaliuzhnyi-Verbovetskyi and H. J. Woerdeman, Compl. Anal. Oper. Theory, 2012.
• Tuples of commuting contractions satisfying the von Neumann inequality, with D. S. Kaliuzhnyi-Verbovetskyi, V. Vinnikov, and H. J. Woerdeman, J. Funct. Anal. 256 (2009), 9, 3035-3054.
• A note on Chebyshev polynomials and finite difference wave equation , Contemporary Math., AMS, 428 (2007), 57-60.
• A note on de Branges' weights , with A. Z. Grinshpan, Proc. Amer. Math. Soc. 133 (2005), 2605-2608
• Monotone functions of abstract chains , Comput. Methods Funct. Theory 6 (2006), No. 1, 183-201.
• Conditional positivity of divided difference Hermitian forms, preprint.
• Electrostatics, hyperbolic geometry, and wandering vectors, J. London Math. Soc. (2) 69 (2004), 169-182.
• A minimum energy problem and Dirichlet spaces, Proc. Amer. Math. Soc. 130 (2002), 453-460.

Analysis seminar: 2012-13, 2010-12, 2007-10

Courses taught

Fall 12	Linear Algebra. Precalculus.
Spring 12	Introduction to Analysis. Numerical Analysis.
Winter 12	Integral Calculus. Discrete Mathematics.
Teaching archive