Teaching Areas

Macro-economic; Human Resources; Business Low; Business Ethics; political economy; microeconomics; public finance; national income accounts.

Research Areas

Commutative Algebra, Algebraic Geometry, and Numerical Algebraic Geometry. Computational Mathematics: Numerical Algorithms, computation in commutative Algebra and Algebraic Geometry.

Education

Ph.D. degree in Mathematics (Specialization: Algebra- Algebraic Geometry), Kaiserslautern University of the Technology – Germany from 2008 to 2011 . Ph.D. thesis titled “Numerical Algorithms in Algebraic Geometry with Implementation in Computer Algebra System”. Master in algebra (Specialization : Algebraic geometry and Computer Algebra) , University Kaiserslautern of the Technology - Germany from 2005 to 2007 . Bachelor's degree in mathematical science (Specialization: Algebra), Damascus University, Faculty of Science, Department of Mathematics from 2000 to 2004 . Hold four certificates for academic excellence during the four years of study at the University of Damascus University and the first best graduate with degree excellent in 2004.

Member Ship

Member of the Central Scientific Committee at Syrian Science Olympiad , Damascus, Syria. (current)

Dr. Shawki Mohamad AL Rashed

**Publications:**

**Books** :

1- An author of Libraries in computer algebra system SINGULAR to compute in commutative algebra and algebraic geometry, 2010,entitled:

LIBRARY: "NumDecom.lib" Numerical Decomposition of Ideals.

LIBRARY: "NumerAlg.lib" Numerical Algebraic Algorithm.

2- An author of Book published in the English language publishing house in universities for Scientific Research in southwestern Germany , entitled:

Shawki Al Rashed (2011): Numerical Algorithms in Algebraic Geometry. Verlag Suedwest deutscher fuer Hochschulschriften ISBN - 13: 978 - 3 - 8381 - 1350 - 0.

3- Supervisor on many MA and Ph.D. theses, Damascus University.

4- Participate in many MA, Ph.D. arbitration committees, Damascus University.

5- An author of a book titled “Linear Algebra (1) ” for Mathematics students, 2014, Damascus University, Syria.

6- An author of a book titled “Linear Algebra (2) ” for Mathematics students, 2016, Damascus University, Syria.

7- An author of a book titled “Commutative Algebra, Algebraic Structure (4)” for Mathematics students, Preprinted , Damascus University, Syria. (preprint)

**Publications:**

Libraries in Computer Algebra System SINGULAR to compute in commutative algebra and algebraic geometry, 2011 , entitled:

LIBRARY: "NumDecom.lib" Numerical Decomposition of Ideals.

LIBRARY: "NumerAlg.lib" Numerical Algebraic Algorithm.

Shawki Al Rashed, Numerical Algorithms in Algebraic Geometry. Verlag Suedwest deutscher fuer Hochschulschriften ISBN - 13: 978 - 3 - 8381 - 1350 - 0. 2011.

Shawki Al Rashed, Gerhard Pfister. Numerical Decomposition of Affine Algebraic Varieties, Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica, vol. XX, fasc. 3.2014 .

Shawki Al Rashed. Book titled “Linear Algebra (1) ” for Mathematics students, 2014, Damascus University, Syria.

Shawki Al Rashed. Book titled “Linear Algebra (2) ” for Mathematics students, 2016, Damascus University, Syria.

The way toward Jacobian problem throughout the resultant theory, Journal of AL Baath University – Syria –Homs, Vol. 38, 2016. (in participation with Alaa Jony).

A study of relationship between the valuation rings, the localization of rings at a prime ideal, and the principle ideals domain, Journal of Damascus University for Basic Science, 2016.

A study in flat ideals and stability, Journal of Damascus University for Basic Science, 2016. (in participation with M. Zahlan and Y. Alwadi ).

A study of relationship between the valuation rings, the localization of rings at a prime ideal, and the principle ideals domain, Journal of Damascus University for Basic Science, 2016.

Construction of Rigid Matrices in Projective Space by using Elimination theory, Journal of Damascus University for Basic Science, 2017. (in participation with Bushra Gadallal).

Use Cayley- Hamilton's Theorem and Nakayamma's Lemma to study the relationship between the regular ring and valuation rings, Journal of Damascus University for Basic Science, 2017.

A study in absorbing ideals , Journal of Damascus University for Basic Science, 2018. (in participation with Maha Al-moussa ).

n-Queen Problem, Journal of Damascus University for Basic Science, 2018. (in participation with Mohamad Abo-Safi).

Shawki Al Rashed. Book titled “Commutative Algebra, Algebraic Structure (4)” for Mathematics students, Preprinted , Damascus University, Syria. (preprint)

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**Experience:**

Vice Dean for Administrative and Students Affairs of Faculty of Sciences II - University of Damascus, Syria. (current)

Associate professor at mathematics department, faculty of science, Damascus University, Damascus, Syria. (current)

Lecturer at faculty of Informatics & Communication Engineering, Arab International University, Damascus, Syria. (current)

Lecturer at SVU (Communication Program), Syrian Virtual University, Damascus, Syria. (current)

Member of the Central Scientific Committee at Syrian Science Olympiad , Damascus, Syria. (current)

Lecturer at Syrian Virtual University, Communication Technology Program BACT, Damascus, Syria. (current)

Lecturer of the Discriminate Students at the University of Damascus (Faculty of Informatics Engineering and laser techniques), Syria. (2013-2016)