Mathematical    Sciences

#### Mathematical Sciences

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# Mathematical Sciences

## Waleed   Al-Rawashdeh

Associate Professor
Museum 110
Phone: (406) 496-4407
E-mail Waleed Al-Rawashdeh

### Biography

Education:

• B.S. in Mathematics (1995), The University of Jordan
• M.S. in Applied Mathematics (1999), The University of Jordan
• Ph.D. in Pure Mathematics (2010), Central Michigan University

Work Experience:

• Montana Tech, Associate Professor (August 2014-present)
• Montana Tech, Assistant Professor (2011-2014)
• Montana Tech, Visiting Assistant Professor (2010-2011)
• Central Michigan University, Graduate Student Instructor (2006-2010)
• Jordan University of Sci. and Tech., Full-time Lecturer (2000-2004)
• University of Jordan’s Model School, Mathematics Teacher (1999-2000)
• National Orthodox School, Mathematics Teacher (1995-1999)

### Research Interests

My research area is Operator Theory, including composition operators, Teoplitz operators, Complex Analysis, Functional Analysis, and Operator Algebras. The study of composition and Toeplitz operators on spaces of analytic function lies in the intersection of Operator Theory, Complex Analysis, Functional analysis, and operator algebras. Both composition and Teoplitz operators are induced by underlying functions, the properties of these operators are closely tied to the properties of the associated maps.

A long term goal of my research on weighted composition operators $W_{\psi, \varphi}$ is to classify membership in a given operator-class (bounded, compact, Hilbert-Schmidt, Schatten, Normal, Subnormal, etc.) in terms of the geometric and analytic properties of the induce weight maps $\varphi$ and $\psi$, to relate the spectrum and essential spectrum of algebraic combinations of these operators to the properties of the underlying maps $\varphi$ and $\psi$, and to determine the structures and K-theory of the unital $C^{*}$-algebras generated by the collection of these operators.

### Selected Honors & Awards

• 2015 Distinguished Researcher Award, Montana Tech
• 2014 Rose and Anna Busch Faculty Achievement Award
• 2014 Montana Tech Faculty Merit Award
• Editorial Board Member, Journal of Mathematics Research
• Editorial Board Member, Advances and Applications in Mathematical Sciences
• Editorial Board member of the MAYFEB Journal of Mathematics.
• Editorial Board member of Fundamental Journal of Pure and Applied Mathematics.
• Reviewer of the Journal of Mathematics and System Science.
• Reviewer of the International Journal of Mathematical Analysis.
• Reviewer for the Journal of Mathematics and Statistical Science.
• Reviewer of the Mathematical Reviews.
• Reviewer of the Zentralblatt MATH.
• Nominated for the "Distinguished Researcher Award," (2014)
• Nominated for the "Rose and Anna Busch Faculty Achievement Award," (2013)
• Nominated for the "Distinguished Researcher Award," (2013)
• Outstanding Teaching Award, Central Michigan University (2010)
• Teaching Fellowship, Central Michigan University (2006 - 2010)
• Doctoral Fellowship, Central Michigan University (2004 - 2006)

### Career in Brief

• 2014-Present: Associate Professor, Montana Tech
• 2011-2014: Assistant Professor, Montana Tech
• 2010-2011: Visiting Assistant Professor (2010-2011)
• 2006-2010: Graduate Student Instructor, Central Michigan University
• 2000-2004: Full-time Lecturer, Jordan University of Science and Technology
• 1999-2000: Mathematics Teacher, University of Jordan’s Model School
• 1995-1999: Mathematics Teacher, National Orthodox School

### Courses Taught

• Special Topics (M491) - Combinatorics.
• Special Topics (M491) – Topology
• Special Topics (M491) – Advanced Algebraic Structures
• Advanced Calculus I (Real Analysis I) – M435W
• Advanced Calculus II (Real Analysis II) – M436W
• Algebraic Structures I (Abstract Algebra I) – M351
• Algebraic Structures II (Abstract Algebra II) – M352
• Topology - M376
• Linear Algebra – M333
• Differential Equations – M274
• Multivariable Calculus - M273
• Calculus II – M172
• Calculus I – M171
• Pre-Calculus – M151
• College Algebra – M121

### Selected publications

W. Al-Rawashdeh, “Weighted Differentiation Composition Operators from Nevanlinna Classes to Weighted-type Spaces”, submitted for publication (April 2016).

W. Al-Rawashdeh, “Composition Operators between Weighted Bergman and S^p Spaces”, submitted for publication (April 2013).

W. Al-Rawashdeh, “Compact Weighted Composition Operators between Generalized Fock Spaces” Missouri J. Math. Sci., 28 (2016), 62-75.

W. Al-Rawashdeh, “Weighted Composition Operators on Generalized Fock-type Spaces”, J. Math. Sci.  Adv. Appl., 33(2015), 25-36.

W. Al-Rawashdeh, “Schatten Class Weighted Composition Operators on Generalized Fock Spaces $\mathcal{F}_{\phi}^{2}(\mathbb{C}^n)$”, Int. J. Math. Analysis, 9(2015), 1379 – 1384.

W. Al-Rawashdeh, “Essential Norm of Weighted Composition Operators on Bargmann-Fock Spaces”, Adv. Inequal. Appl., 6(2015), 1-15

W. Al-Rawashdeh, “Compact composition operators on Weighted Hilbert Spaces”, J.  Appl. Funct.  Analysis, 10(2015), 101-108.

W. Al-Rawashdeh, “Quasihomogeneous Toeplitz Operators on Weighted Bergman Spaces”, J. Math.  Analysis, 5(2014), 12-17.

W. Al-Rawashdeh, “Composition Operators on Generalized Nevanlinna Class”, Missouri J. Math. Sci., 26 (2014), 14-22.

W. Al-Rawashdeh, “Composition Operators on Weighted Hardy Spaces”, Rocky Mountain J. Math., 44(2014), 1053-1072.

W. Al-Rawashdeh and S. K. Narayan, “Difference of Composition Operators on Hardy spaces”, J. Math. Inequal., 7(2013), 427- 444.

W. Al-Rawashdeh, “Weighted Composition Operators between Weighted Bergman and S^p Spaces”, Bulletin of Math. Anal. Appl., 5(2013), 54-64.

W. Al-Rawashdeh and S. K. Narayan, “Weighted Composition Operators on Weighted Bergman Spaces of the Unit Ball”, Int. J. Pure Appl. Math., 78(2012), 161-183.