Mohammad Adam

Mohammad Adam

Dr. Mohammad Adm

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) were 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. In 2018, among more than 400 applicants from Germany and the Arab countries, I beside 13 scientists were selected for the membership of the Arab-German Young Academy of Sciences and Humanities (AGYA).

Currently, I am an associate professor at the Department of Applied Mathematics and Physics, Palestine Polytechnic University. My responsibilities as an assistant professor 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 and an active member of the Discrete Mathematics Research Group at the University of Regina in Canada. I have collaborators in Canada, China, Germany, Jordan, Palestine, and USA. 

 

My broad research interests are in matrix theory, linear and multilinear algebra, graph theory, and combinatorics. 

 

Current mailing address:

Dr. Mohammad Adm

Department of Applied Mathematics and Physics 
Palestine Polytechnic University
Hebron, Westbank

Palestine 


Emails:

[email protected]

[email protected]

 

Teaching:

  • Calculus I
  • Calculus II
  • Calculus III
  • Real Analysis 
  • Linear Algebra
  • Ordinary differential equations
  • Introductory statistics
  • Operations researches
  • Finite mathematics
  • Mathematics for Engineers 
  • Probability and Statistics
  • Probability and Statistics for Engineers
  • General Mathematics for Occupational Therapy

 

Awards:

  1.  Palestine Islamic Bank Prize for the best Research Group at Palestine Polytechnic University, 2018 (with Ms. Khawla Muhtaseb and Mr. Ayed AbdulGhani). 
  2. Postdoctoral Researchers International Mobility Experience (P.R.I.M.E.) awarded by the German Academic Exchange Service (DAAD), Feb. 2017 - July 2018.
  3.  Bridge fellowship awarded by the Zukunftskolleg at the University of Konstanz, May 2016 - Jan. 2017.
  4. 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.
  5. 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.
  6. Scholarship awarded by Hebron University for excellence students of the university, full funding of the B. Sc. studies, Jan. 2005 – June 2008.
  7. First position among the graduates of the entire The University of Jordan, 2011.
  8. First position among the graduates of the entire Hebron University, 2008.
  9. One of the best graduates of all Palestinian universities in 2008.

 

Theses:

  • 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.

 

Publicatuions:

  • 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). 

  • Ovoids of generalized quadrangles of order (q, q2 - q) and delsarte cliques in related strongly regular graphs, Comb. Des., 26 (5), 249 - 263, 2018 (with Discrete Mathematics Research Group, University of Regina, Canada).

  • Further applications of the Cauchon algorithm to rank determination and bidiagonal factorization​, Linear Algebra Appl., 545, 240 - 255, 2018 (with K. Al Muhtaseb, A. Abdel Ghani, S. Fallat, and J. Garloff).​

  • Total nonnegativity of finite Hurwitz matrices and root location of polynomials, J. Math. Anal. Appl., 467, 148 - 170, 2018 (with J. Garloff and M. Tyaglov).

  • The maximum multiplicity of the largest k-th eigenvalue in a matrix whose graph is acyclic or unicyclic, Discrete Mathematics, 342, 2924 - 2950, 2019 (with S. Fallat),

  • Achievable multiplicity partitions in the inverese eigenvalue problem of a graph, Special Matrices, 7, 276 - 290, 2019 (with S. Fallat, K. Meagher, S. Nasserasr, S. Plosker, and B. Yang).

  • Relaxing the nonsingularity assumption for intervals of totally nonnegative matrices, Electron. J. Linear Algebra, 36, 106 - 123, 2020 ​(with K. Al Muhtaseb, A. Abdel Ghani, and J. Garloff).​

  • Weakly Hadmard digonalizable graphs, Submitted, 2020 (with K. Muhtaseb, S. Fallat, K. Meagher, S. Nasserasr, M. Shirazi, and A. Razafimahatratra).

  • Characterization, perturbation, and interval property of certain sign regular matrices, submitted, 2020 (with J. Garloff).

Significant contributions:

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. A novel method for the determination of the rank of a matrix and compute its bidiagonal facotrization was proposed.  An extension of the well-known Routh-Hurwitz criterion to determine the nonexistence zeros of a real polynomial in a specified sector is presented. Finally, the inverse inertia problem for interesting families of graphs is solved and two challenging conjectures are 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).​

  • Efficient determinantal tests for sign regular matrices, ​​14th Annual PIMS Young Researchers Conference, University of Saskatchewan, Saskatoon, Saskatchewan, Canada, June 5-8, 2017.​​​

  • A novel method for determining the rank of a matrix, ​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.

  • On the eigenvalues of acyclic matrices, Joint Mathematic Meeting (JMM 2018), San Diego, California, USA, January 10-13​, 2018.

  • Root location of polynomials whose finite Hurwitz matrix is totally nonnegative, Sixth Palestinian Conference on Modern Trends in Mathematics and Physic (PCMTMP-VI), Tulkarem, Palestine, August 5-8, 2018 (Invited speaker).

  • On the zero forcing game and maximum nullity of matrices whose graph is acyclic or unicyclic with q negative eigenvalues, Birzeit 2018 Conference "Applied Mathematics and Random Structures", Ramallah, Palestine, August 27-30, 2018 (Invited speaker).

 

Membership in Academic Organizations:

  • Arab-German Young Academy of Sciences and Humanities (AGYA)
  • Palestine Young Academy (founding committee)
  • International Linear Algebra Society (ILAS)

 

Journal Reviews:

  • Linear Algebra and its Applications Journal.
  • Linear and Multilinear Algebra Journal.
  • Discrete Mathematics Journal
  • Special Matrices Journal
  • Applications and Applied Mathematics: An International Journal (AAM).
  • Mathematical Reviews.
  • Special Matrices