Thompson Rivers University
Thompson Rivers University

Fatma Mahmoud

Fatma Mahmoud

Fatma Mahmoud

Name: Dr Fatma Mahmoud
Position: Instructor of Mathematics
Phone: 2508527668
Email: fmahmoud@tru.ca

Research Interests

General: Topology.
Specific: Fuzzy Topologies, Fuzzy Neighborhood Structures, Fuzzy Uniform Structures, Fuzzy Proximities, Fuzzy Topological Groups, Fuzzy Separation Axioms, Fuzzy Frames (locales), Fuzzy Localic Products, Category Theory, Digital Topology and Algebraic Topology, relationship between localic products and fuzzy topological products, frames (locales), traditional spectra and soberifications, lattice-valued spectra and soberifications, quotient frames, frame coproducts and other related ideas such as irreducible closed sets, prime open sets, lattice-valued open maps, etc..

Master thesis, was in Algebraic Topology, focused on some notions of homology and cohomology constructions.

Education

Provincial Instructor Diploma (PID) (March 2011)
Vancouver Community College, BC, Canada

Doctor of Philosophy of Science (PhD) in Pure Mathematics (Fuzzy Topology) (1995)
Faculty of Science, Zagazig University, Benha Branch, Egypt (Scholarship awarded to Potsdam University, Potsdam, Germany)
Thesis Title: ``The General Theory of Fuzzy Neighborhood Structures
Advisor: Prof. Werner Gahler (Potsdam University, Potsdam, Germany)

Master degree of Science (MSc) in Pure Mathematics (Algebraic Topology) (1990)
Faculty of Science, Zagazig University, Benha Branch, Egypt
Thesis Title: On K-homology and K-cohomology constructions of Relations
Advisor: Prof. Abd El-Sattar Dabbour (Ain Shams University, Cairo)

Premaster of Science in Pure Mathematics (1987)
Faculty of Science, Zagazig University, Benha Branch, Egypt

Bachelor of Science (BSc) in Mathematics (Honors) (1986)
Faculty of Science, Zagazig University, Benha Branch, Egypt (Grade excellent with honors).

Publications

[1] (with Stephen Rodabaugh) Overview and Comparison of Localic and Fixed-Basis Topological Products. Fuzzy Sets and Systems 161 (2010) 2397 2439.
[2] (with Ismail Ibedou) GT spaces, GT5-spaces and GT6-spaces. Submitted.
[3] (with Ismail Ibedou) The Uniformizability of L-topological groups. The Journal of Fuzzy Mathematics 17 (1) (2009), 35 45.
[4] (with Ismail Ibedou) Completion of L-topological Groups. Fuzzy Sets and Systems, 159 (2008), 2552 2566.
[5] Global L-neighborhood Groups. Fuzzy Sets and Systems,159 (2008), 605 619.
[6] (with Ismail Ibedou) The Metrizability of L-topological Groups. The Journal of The Egyptian Mathematical Society. Accepted for Publication on April 15, 2007.
[7] (with Ismail Ibedou) GT spaces, II. The Journal of The Egyptian Mathematical Society, Vol. 14 (2) (2006), 265 282.
[8] (with Ismail Ibedou) GT spaces, I. The Journal of The Egyptian Mathematical Society, Vol. 14 (2) (2006), 243 264.
[9] On Initial and Final Fuzzy Uniform Structures, Part II. Fuzzy Sets and Systems 157 (2006), 1970 1982.
[10] On L-proximities of The Internal Type. Fuzzy Sets and Systems 157 (2006), 1941 1955.
[11] On Initial and Final L-topological Groups. Fuzzy Sets and Systems 156 (2005), 43 54.
[12] (with Ismail Ibedou) The Relation Between The GTi-spaces and Fuzzy Proximity Spaces, G-compact Spaces, Fuzzy Uniform Spaces. The Journal of Chaos, Solitons and Fractals 20 (2004), 955 966.
[13] On Initial and Final Fuzzy Uniform Structures. Fuzzy Sets and Systems 133 (2003), 299 319.
[14] (with Ismail Ibedou) Ti-spaces, II. The Journal of The Egyptian Mathematical Society 10 (2002), 201 215.
[15] (with Ismail Ibedou) Ti-spaces I. The Journal of The Egyptian Mathematical Society 10 (2002), 179 199.
[16] (with Ismail Ibedou) On GTi-spaces. Jour. of Inst. of Math. and Comp. Sci. 14 (2001), 187 199.
[17] (with G. EL-Salamouny) On Different Notions of Fuzzy Filters and of Fuzzy Topogenous Orders, Jour. of Inst. of Math. and Comp. Sci. 13 (2000), 1 8.
[18] The levels of a Fuzzy Uniform Structure and of a Fuzzy Proximity. Fuzzy Sets and Systems 116 (2000), 421 428.
[19] (with Ali Kandil and Ali Nouh) On Strong Notions in Fuzzy Topological Spaces. The Journal of Fuzzy Mathematics 6 (1998), 751 773.
[20] Stratified Fuzzy Uniformities. The Journal of Fuzzy Mathematics 6 (1998), 339 349.
[21] (with Werner Gahler, Ali Kandil, and Ali Nouh) On Global Fuzzy Neighborhood Structures. The Journal of Fuzzy Mathematics 6 (1998), 151 180.
[22] (with Werner Gahler, Ali Kandil, and Ali Nouh) The Theory of Global Fuzzy Neighborhood Structures, III, Fuzzy Uniform Structures. Fuzzy Sets and Systems 98 (1998), 175 199.
[23] (with Werner Gahler, Ali Kandil, and Ali Nouh) The theory of Global Fuzzy Neighborhood Structures, II, Fuzzy Topogenous Orders. Fuzzy Sets and Systems 98 (1998), 153 173.
[24] (with Werner Gahler, Ali Kandil, and Ali Nouh) The Theory of Global Fuzzy Neighborhood Structures, Part I, The General Case. Fuzzy Sets and Systems 97 (1998), 225 254.
[25] (with Abd El-Sattar Dabbour) K-homology and K-cohomology Constructions of Relations. International Atomic Energy Agency and United Nations Educational Scientific and Cultural Organization (International Center for Theoretical Physics), Trieste, Italy, 1990.

Employment History

Instructor of Mathematics (2011 to Present)
Thompson Rivers University, Kamloops, BC, Canada

Tutoring in Canada (2008 to 2011)
Mathematics courses such as: Calculus, Abstract and Linear Algebra, Statistics, Complex Analysis, Ordinary and Partial Differential Equations and Geometry
GMAT preparation and Canadian High School Math curriculum

Professor of Mathematics/Assistant Professor/Lecturer (1986 to 2008)
Benha University, Egypt

Assistant Professor of Mathematics (1999 to 2000)
Faculty of Girls, Hael, Saudi Arabia

Courses Taught

Taught at Benha University, Egypt (1986 to 2008)
Pre-Calculus Mathematics for Business and Economics Calculus, Abstract and Linear Algebra, Statistics, Real, Functional and Complex Analysis, Differential Geometry, Ordinary and Partial Differential Equations, Logic and Number Theory, Topology, Category Theory.

Taught at Thompson Rivers University, Kamloops, BC, Canada (2011 to present)
Pre-calculus (Math 1000), Mathematics for Business and Economics (Math 1070), Calculus for Business and Economics (Math 1170), Calculus 1 (Math 1140) and Calculus 2 (Math 1240) for Silences.
|