In January 2016, I received my doctoral degree in mathematics from the University of Konstanz in Germany with the highest grade summa cum laude. In May 2016 under the program Bridge Fellowship, I was also awarded a fellowship by the Zukunftskolleg at the University of Konstanz. From May to August 2016 and in January 2017, I worked as a researcher at the excellence center of research (Zukunftskolleg) at the University of Konstanz and during the winter semester 2016/2017, I have restarted my academic career as assistant professor at the Palestine Polytechnic University in Hebron, Palestine. Finally, I had the great honor to be awarded a postdoctoral fellowship by the DAAD under the distinguished program Postdoctoral Researchers International Mobility Experience (P.R.I.M.E.), which is funded by the German Federal Ministry of Education and Research and the European Union. The support is provided for 18 months of which the first 12 months (01.02.2017 – 31.01.2018) will be spent at the University of Regina in Canada and the remaining 6 months (01.02.2018 – 31.07.2018) at the University of Konstanz in Germany (reintegration phase). According to the DAAD statistics, I am the first Palestinian and the second Arab to be awarded the P.R.I.M.E. fellowship since it has been launched.
Currently, I am a postdoctoral fellow at the Department of Mathematics and Statistics, University of Konstanz, a postdoctoral fellow visitor at the Department of Mathematics and Statistics, University of Regina, and an assistant professor (on leave) at the Department of Applied Mathematics and Physics, Palestine Polytechnic University.
My responsibilities as an assistant professor (on leave) at the Palestine Polytechnic University include academic leadership in research, teaching, and faculty professional development. I am a group leader of the cooperative research group "Linear Algebra and Matrix Analysis" at the Palestine Polytechnic University. This group collaborates with Prof. Dr. J. Garloff from University of Konstanz and Prof. Dr. S. Fallat from the University of Regina.
My broad research interests are in matrix theory, linear and multilinear algebra, graph theory, and combinatorics.
Current mailing address:
Dr. Mohammad Adm
Department of Mathematics and Statistics
University of Regina
Tel. +1 (306) 585 4424
- Calculus I
- Calculus II
- Calculus III
- Ordinary differential equations
- Introductory statistics
- Operations researches
- Finite mathematics
- Postdoctoral Researchers International Mobility Experience (P.R.I.M.E.) awarded by the German Academic Exchange Service (DAAD), Feb. 2017 - July 2018.
- Bridge fellowship awarded by the Zukunftskolleg at the University of Konstanz, May 2016 - Jan. 2017.
- Scholarship awarded by the German Academic Exchange Service (DAAD) to attain the Doctoral degree in mathematics at the University of Konstanz, Konstanz, Germany, April 2012 - March 2016.
- Scholarship awarded by the German Academic Exchange Service (DAAD) to attain the M.Sc.degree in mathematics at The University of Jordan, Amman, Jordan, Sep. 2009 – Aug. 2011.
- Scholarship awarded by Hebron University for excellence students of the university, full funding of the B. Sc. studies, Jan. 2005 – June 2008.
- First position among the graduates of the entire The University of Jordan, 2011.
- First position among the graduates of the entire Hebron University, 2008.
- One of the best graduates of all Palestinian universities in 2008.
- Ph.D.: Perturbation and intervals of totally nonnegative matrices and related properties of sign regular matrices. University of Konstanz, 2016, supervisor: Prof. Dr. Jürgen Garloff.
- M.Sc.: Geometrical relations between the zeros and critical points of polynomials, The University of Jordan, 2011, supervisor: Prof. Dr. Fuad Kittaneh.
- Bounds and majorization relations for the critical points of polynomials, Linear Algebra Appl., 436, 2494 – 2503, 2012 (with F. Kittaneh).
- Intervals of totally nonnegative matrices, Linear Algebra Appl., 439, 3796 – 3806, 2013 (with J. Garloff).
- Invariance of total nonnegativity of a tridiagonal matrix under element-wise perturbation, Oper. Matrices, 8 (1), 129 – 137, 2014 (with J. Garloff).
- Improved tests and characterizations of totally nonnegative matrices, Electron. J. Linear Algebra, 27, 588 – 610, 2014 (with J. Garloff).
- Invariance of total positivity of a matrix under entry-wise perturbation and completion problems, in: A Panorama of Mathematics: Pure and Applied, Contemporary Mathematics, vol. 658, Amer. Math. Soc., Providence, RI, pp. 115-126, 2016 (with J. Garloff).
- Total nonnegativity of matrices related to polynomial roots and poles of rational functions, J. Math. Anal. Appl., 434, 780 – 797, 2016 (with J. Garloff and J. Titi).
- Intervals of special sign regular matrices, Linear and Multilinear Algebra, 64, 1424-1444, 2016 (with J. Garloff).
- A survey of classes of matrices possessing the interval property and related properties, Reliable Computing, 22, 1 – 10, 2016 (with J. Garloff and J. Titi).
- Total nonnegativity of the extended Perron complement, Linear Algebra Appl., 508, 214 – 224, 2016 (with J. Garloff).
- Invariance of total nonnegativity of a matrix under entry-wise perturbation and subdirect sum of totally nonnegative matrices, Linear Algebra Appl., 514, 222 - 233, 2017 (with J. Garloff).
- A novel method for determining the rank of a matrix with application to bidiagonal factorization, submitted (with K. Muhtaseb, A. Abdel Gani, S. Fallat, and J. Garloff).
- Ovoids of Generalized Quadrangles of Order (q, q2 - q) and Delsarte Cliques in Related Strongly Regular Graphs, submitted (with Discrete Mathematics Research Group, University of Regina, Canada).
A conjecture which was posed by Prof. Jürgen Garloff in 1982 is settled. We combine an array of recent tools from distinct areas and we successfully bridge these facts to resolve this open problem. Some notions which were employed to give an efficient determinantal criterion for totally nonnegative matrices and some characterizations of their subclasses. Analogous results for another class of matrices are proved and a new conjecture is posed. These results are applied to the theory of Hurwitz (stable) polynomials and theory of rational functions to give simple proofs for some known results e.g., Markov's Theorem, and sufficient conditions for a given family of 'interval' rational functions and interval polynomials to be R-functions of negative type and Hurwitz, respectively. Finally, a novel method for the determination of the rank of a matrix was proposed.
Talks in conferences:
- Relations between the zeros and critical points of polynomials, Third Palestinian Conference on Modern Trends in Mathematics and Physic, Hebron, Palestine,16-18 July, 2012.
- Intervals of sign regular matrices, 8th Small Workshop on Interval Methods (SWIM 2015), Prague, Czech Republic, 9-11 June, 2015.
- Total nonnegativity of matrices related to polynomial roots and poles of rational functions, MATTRIAD 2015, Coimbra, Portugal, 7-11 September, 2015.
- Application of the Cauchon Algorithm to sign regular matrices, 20th Conference of the International Linear Algebra Society (ILAS 2016), Leuven, Belgium, 11-15 July, 2016.
- Zeros and poles localization of polynomials and rational functions and total nonnegativity of structured matrices, 7th European Congress of Mathematics (7ECM), Berlin, Germany, 18-22 July, 2016.
- Zeros and poles localization of polynomials and rational functions and total nonnegativity of structured matrices, Fifth Palestinian Conference on Modern Trends in Mathematics and Physics (PCMTMP-V), Jenin, Palestine, 31 July - 2 August, 2016 (invited speaker).
- Optimal determinantal criteria for and intervals of totally nonnegative matrices, The Prairie Discrete Mathematics Workshop (PDMW), Living Skies Conference Centre Lumsden, Saskatchewan (near Regina), Canada, June 2-5, 2017. (invited speaker).
- Special Western Canada Linear Algebra meeting, Banff International Research Station for Mathematical Innovation and Discovery, Banff, Alberta, Canada, July 7-9, 2017 (invited speaker).
- Recent applications of the Cauchon algorithm to totally nonnegative matrices, Meeting of International Linear Algebra Society: Connections (ILAS 2017), Iowa State University, Iowa, USA, July 24-28, 2017. (accepted contribution).