User:Dejenie

02:04, 12 August 2022 (UTC)Dejenie Alemayehu Lakew

Dejenie Alemayehu Lakew, Ph.D., University of Arkansas Mathematician, Associate Professor (former), Asst. Professor (current) originally from Ethiopia. Author, reviewer and editorial member of several peer reviewed mathematics journals.

''"Mathematics has to be studied not only because it is useful but because it is also beautiful, as it is a study of structures of logic, reason and imagination" - Dr. Dejenie Alemayehu Lakew

Research areas: Clifford analysis, partial/ordinary differential equations, functional analysis and operator theory. Clifford analysis: The study of the Dirac and Dirac like operators and Clifford valued functions that are annihilated by such operators. Null solutions of these operators are called monogenic or Clifford analytic functions. The Dirac operator is an analogue to the usual Cauchy-Riemann operator of complex analysis whose null solutions give rise to what is called theory of functions of one complex variable. Clifford analysis therefore extends the one-dimensional complex function theory to higher dimensions - hyper complex function theory. I would like to forward readers to my website: https://www.dejeniea.com. Share my beautiful images that I have painstakingly constructed through mathematics and also read my ideas that I have posted on the column section of the site.

I welcome your comments and ideas at: dejenieal@gmail.com My world wide web profiles : [1] https://www.science.hamptonu.edu/math/ [2] https://www.researchgate.net/profile/Dejenie_A_Lakew/ [3] http://arxiv.org/a/lakew_d_1 [4] http://scholar.google.com/citations?hl=en&user=PCnOdHIAAAAJ [5] http://www.linkedin.com/pub/dejenie-alemayehu-lakew-ph-d/27/b7/668/ SHORT AUTOBIOGRAPHY:

Education and Professional Experiences: I am originally from Ethiopia with extensive experience of teaching mathematics and doing research that spans over twenty six years. I received my undergraduate and graduate studies in Mathematics at Addis Ababa University, Ethiopia and at University of Arkansas, Fayetteville, USA. I was a lecturer of mathematics in Ethiopia at Addis Ababa University and came to the United States of America in 1996 to pursue my doctoral studies at University of Arkansas - Fayetteville and received my Ph.D. degree in 2000 with dissertation titled "Elliptic BVPs, Cl{0,n}-Complete Function Systems and the Clifford π- Operator" under the supervision of professor John Ryan, out of which three different articles extracted and published in different peer review journals. I joined the University of Arkansas - Pine Bluff, one of the universities of the University of Arkansas system with a tenure-track, assistant professor rank for six years. Then I moved to Virginia and served at the rank of assistant professor of mathematics at Virginia State University from 1996-1998 and with a rank of associate professor of mathematics and interim chair of the mathematics department at Virginia Union University from 2008-2010. Currently working as an adjunct faculty seeking a tenure/tenure-track, assistant/associate /full professor of mathematics. Education: Ph.D. - University of Arkansas M.Sc. - Addis Ababa University B.Sc. - Addis Ababa University Professional Experience:

Asst. Professor, Hampton University

Full Time Faculty - Stratford University

Associate Professor and Interim Chair - Virginia Union University Assistant Professor - Virginia State University Assistant Professor - University of Arkansas - Pine Bluff Lecturer - Addis Ababa University Research and Publications:

- Authored and co-authored mathematical articles and published in peer reviewed journals.

- Published articles in arXiv.org.

- Authored a book entitled " Hyper Symmetry - Mathematical Imagery", Authorhouse Publishers 2010. - Reviewer and editor for several international mathematics journals. - Participated in sectional and joint Mathematics meetings organized by both the American Mathematical Society (AMS) and the Mathematical Association of America (MAA) and present results. - Participated and presented talks in weekly departmental seminars and colloquiums. - Promote mathematics, mathematics learning and its immense applications, not only to the sciences but to society at large and popularize it through publications and imagery works of mathematical arts and aesthetics. Few of the images are recognized by American Mathematical Society and are available on the Imagery section of its website. Several of the images are also available in my website. - Currently working on:

[1] New Proofs on Properties of an Orthogonal Decomposition of a Hilbert Space [2] On Orthogonal Decomposition of ℒ²(Ω) [3] Clifford Analysis on Orlicz-Sobolev Spaces

[4] Fibonacci Sequence Via the ∑ - Transform [5] Norm estimates of solutions to first and second order elliptic BVPs of the Dirac operator D = ∑e_{j}∂x_{j} which are assumed to be in some Sobolev spaces, and their traces be in certain Slobodeckji spaces. [6] Mollifies in W^{k,p}(Ω,Cl_{n}) which is the second part of my work on mollifiers in the Bergman space A²(Ω,Cl_{n})= kerD∩ℒ²(Ω,Cl_{n}). Recognition and Awards: Doctoral Teaching Assistant, University of Arkansas, 1996-2000 John C. Massey Doctoral Fellowship, University of Arkansas, Summer 1999 Marquis Who's Who in America. Marquis Who's Who in the World. Cambridge Who's Who. On Economic Developments:

A true measure of strength and capability of any structure is when the structure performs exactly what we intend and aspire it to perform by itself. Therefore, an economic development of a certain society is measured through a real observed and quantified progress the economic system displays in addressing the fiscal issues of that particular society so that members of that society solve their problems fairly and make a better living of a higher standard of health, wealth and longevity. The strength, growth and thereby stability of such a financial system should therefore be certified as developed if it passes tests of behaviors and characters of being developed, from its own resources and by its own means, aside from the economic aid packages provided from outside source. In this regard, economic aids provided to developing countries should be looked at from the perspective of capacity building to enable them to perform well by themselves and stand upright and eventual independent.

From the perspective of mathematics, such outside aids have names which I have mentioned in my quote below. One can also write mathematical models to describe such systems to study and predict their behaviors.

" Mathematically, aid is an initial condition, while growth is a behavior of a system which in most cases has nothing to do with initial conditions " ~ Dr. Dejenie Alemayehu Lakew