Maksym Pryporov

Curriculum Vitae

Contact information: 438 Carver Hall, Department of Mathematics, Iowa State University,

Ames, IA 50011, USA.

Phone: (515)-708-5974, email: pryporov@iastate.edu

Research interests: Partial Differential Equations, High Frequency problems, Gaussian beam methods, Harmonic analysis.

Education:

Iowa State University, Ames, USA

· 2008 – In progress Ph.D. Department of Mathematics.

Major Professor: Hailiang Liu

Research topic: Error Estimates of Gaussian Beam Superpositions

Donetsk National University, Donetsk, Ukraine

· 2007-2008 – Master (European version) with Honors, Department of Mathematics

Thesis: Spectral Theory for non-classical Laguerre operator

(Thesis advisor V.A. Derkach)

· 2003-2007 – B.S. with Honors, Department of Mathematics

Research experience:

· Summer School on “Recent Advances in the Theory of Homogenization”, University of Chicago, Chicago, IL, June 18-29 2012.

· Spring 2011 Research Assistant project in high frequency wave propagation supported by NSF under Grant DMS 09-07963.

Teaching Experience:

· Fall 2012 Calculus II – Math 166 (Instructor)

· Summer 2012 Brief Calculus – Math 151 (Instructor)

· Spring 2012 Calculus I – Math 165 (Instructor)

· Fall 2011 Calculus II – Math 166 (Recitations)

· Summer 2011 Calculus I – Math 165 (Instructor)

· Fall 2010 Calculus I – Math 165 (Recitations)

· Summer 2010 Finite Mathematics – Math 150 (Instructor)

· Spring 2010 Calculus II – Math 166 (Recitations)

· Fall 2009 Trigonometry – Math 141/142 (Recitations)

· Summer 2009 Math 166 (Grader), Help Room

· Spring 2009 Calculus II – Math 166 (Recitations)

· Fall 2008 Math 166, Math 266 (Grader), Help Room

Awards:

· Spring 2013 Lambert Research Fellowship

· Fall 2012 Teaching Excellence Award

Papers:

· Error Estimates of the Bloch Band-Based Gaussian Beam Superposition for the Schrödinger Equation (preprint).

· Gaussian beam superposition method for linear symmetric hyperbolic systems: formulation and error estimate (preprint).

Presentations:

· Invited talk: Error Estimates of the Bloch Band-Based Gaussian Beam Superposition for The Schrödinger Equation, AIM SQuaRE on Gaussian beam superposition methods for high frequency wave propagation, Palo Alto, CA, August 14, 2012.

· Invited talk: Error Estimates of the Bloch Band-Based Gaussian Beam Superposition for the Schrödinger Equation, AMS sectional meeting in Lawrence, KS April 1 2012.

· A Bloch-band based Gaussian beam method for Schrödinger equations with periodic potentials, Computational and Applied Math seminar Ames, IA April 11 2011.

Conferences attended:

· AIM SQuaRE on Gaussian beam superposition methods for high frequency wave propagation, Palo Alto, CA, August 13 – August 17, 2012 (invited talk)

· IPAM The International Conference on the Frontier of Computational and Applied Mathematics, Los Angeles, CA, June 8 – June 10, 2012

· AMS Sectional meeting in Lawrence, KS March 30 – April 1, 2012 (invited talk)

· FRG annual meeting in Madison, WI May 22 – 26, 2011

· Iowa PDE workshop in Ames, IA May 5-7, 2011

· AMS sectional meeting in Iowa City, IA March 15 – 17, 2011

· Iowa PDE conference in Iowa City, IA March 31 – April 2, 2010

· Iowa PDE Seminar, October 9 – October 10, 2009