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Profile

College / Department

College of Arts and Sciences
Department of Mathematics and Statistics

Teaching areas

All undergraduate Mathematics courses. Graduate courses in Analysis.

Research areas

Holomorphic spaces and their operators. In particular, Toeplitz operators on the Bergman space.

Education

MSc in pure mathematics, University Bordeaux 1, France, 2002
PhD in pure mathematics, University Bordeaux 1, France, 2005

Professional experience

Assistant Professor of Mathematics at King Fahd University of Petroleum & Minerals, Dharan, KSA, 2008-2014.
Visiting Assistant Professor of Mathematics at The University of Toledo, OH, USA, 2006-2008.
Teaching Assistant, University Bordeaux 1, France, 2003-2006.

Contact

ilouhichi@aus.edu
+971 6 515 4464

Dr. Issam Louhichi

Assistant Professor
PhD in Pure Mathematics, University of Bordeaux 1, France

Issam Louhichi's current research interests include analytic spaces and their operators, in particular Toeplitz operators. Before joining AUS, Dr. Louhichi held positions at King Fahd University of Petroleum and Minerals, Dhahran, KSA; University of Toledo, Ohio, USA; and University of Bordeaux 1, Talence, France. He has taught a wide range of pure mathematics courses at the undergraduate and graduate levels.

Publications

Louhichi, Issam, Fanilo Randriamahaleo, and Lova Zakariasy. "On the commutativity of a certain class of Toeplitz operators." Concrete Operators 2, no. 1 (2014): 7.
Louhichi, Issam, and Mohamed Amine Khamsi. "A convergence result on random products of mappings in metric spaces." Fixed Point Theory and Applications 1, no. 43 (2012): 7.
Louhichi, Issam, and Lova Zakariasy. "Quasihomogeneous Toeplitz operators on the harmonic Bergman space." Archiv der Mathematik 98, no. 1 (2012): 49-60.
Louhichi, Issam, and Nagisetti V. Rao. "Roots of Toeplitz operators on the Bergman space." Pacific Journal of Mathematics 252, no. 1 (2011): 127-144.
Louhichi, Issam, Fanilo Randriamahaleo, and Lova Zakariasy. "On the commutativity of a certain class of Toeplitz operators." Concrete Operators 2, no. 1 (2014): 7.
Louhichi, Issam, and Mohamed Amine Khamsi. "A convergence result on random products of mappings in metric spaces." Fixed Point Theory and Applications 1, no. 43 (2012): 7.
Louhichi, Issam, and Lova Zakariasy. "Quasihomogeneous Toeplitz operators on the harmonic Bergman space." Archiv der Mathematik 98, no. 1 (2012): 49-60.
Louhichi, Issam, and Nagisetti V. Rao. "Roots of Toeplitz operators on the Bergman space." Pacific Journal of Mathematics 252, no. 1 (2011): 127-144.
ouhichi, Issam, Nagisetti V. Rao, and Abdel Yousef. "Two questions on products of Toeplitz operators on the Bergman space." Complex Analysis and Operator Theory 3, no. 4 (2008): 881-889.
Louhichi, Issam, and Nagisetti V. Rao. "Bicommutants of Toeplitz operators." Archiv der Mathematik 91, no. 3 (2008): 256-264.
Louhichi, Issam, and Anders Olofsson. "Characterizations of Bergman space Toeplitz operators with harmonic symbols." Journal für die reine und angewandte Mathematik 2008, no. 617 (2008): 1-26.
Louhichi, Issam, and Zeljko Cuckovic. "Finite rank commutators and semicommutators of Toeplitz operators with quasihomogeneous symbols." Complex Analysis and Operator Theory 2, no. 3 (2008): 429-439.
Louhichi, Issam. "Powers and roots of Toeplitz operators." Proceedings of the American Mathematical Society 135, no. 5 (2006): 1465-1475.
Louhichi, Issam, Elizabeth Strouse, and Lova Zakariasy. "Products of Toeplitz operators on the Bergman space." Integral Equations and Operator Theory 54, no. 4 (2005): 525-539.
Louhichi, Issam, and Lova Zakariasy. "On Toeplitz operators with quasihomogeneous symbols." Archiv der Mathematik 85, no. 3 (2005): 248-257.

Conference Presentations

Modern methods, problems and applications of operator theory and harmonic analysis VII, OTHA-2017. Rostov-on-Don, Russia.
Seventh International Conference on Modeling, Simulation and Applied Optimization ICMSAO'17. American University of Sharjah, UAE.
UAE MATH day 2017. University of Sharjah, UAE.
AustMS 2016. The Australian National University, Canberra, Australia.
AURAK Mini-Conference in Mathematics and its Applications. May 28-29, 2016.
AMS-EMS-SPM 2015 International Meeting, 10-13 June, Porto-Portugal.
The 28th International Conference of Jangjeon Mathematical Society 2015, Akdeniz University, Antalya, Turkey.
The Second International Conference on Mathematics and Statistics, AUS-ICMS'15, American University of Sharjah, UAE.
13th UAE Math Day 2015. Paris-Sorbonne University Abu Dhabi, UAE.

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