Ali Jafarian, Professor

Education

Ph.D.,Mathematics, University of Toronto, 1973
M.S., Mathematics, Shiraz University, 1969
B.S., Mathematics, Tehran University, 1966

Published Articles and Books

Refereed Articles

A. A. Jafarian, On Differentiability of Continuous Functions, Proc. of the First Iranian Math.Conf. 49-56(1970).

------------------,  Spectral Decompositions of Operators on Banach Spaces, Ph. D.   Dissertation,University of Toronto (June 1973).

------------------, On Reductive Operators, Indiana University Math. J., 23, No. 7, 607-613 (1974).

------------------, Some Results on A- Unitary, A-Self-Adjoint and Decomposable Operators,  Indiana University Math. J., 23, No. 11, 975-979 (1974).

------------------, Existence of Hyperinvariant Subspaces, Indiana University Math. J., 24, No. 6, 565-575 (1974).

-------------------, and F. H. Vasilescu, A Characterization of Two-Decomposable Operators, Rev. Roum. Math. Pures et Appl., XIX, No. 6, 769-771 (1974).

------------------, Weak and Quasi-Decomposable Operators,Rev. Roum. Math.et Appl., XXII, No. 2, 195-212 (1977).

------------------, Weak Contractions of Sz-Nagy and Foias are Decomposable, Rev.     Roum. Math. Pures et Appl., XXII, No. 4, 489-497 (1977).

------------------, and H. Radjavi, Compact Operator Ranges and Reductive Algebras,      Acta.Sci. Math.,  40, 73-79 (1978).

------------------, and A. G. Miamee, On Matrices Over the Ring of continuous Functions    and n-Normal Operators, Bull. Iranian Math. Soc., 6, No. 2, 69-78 (1979).

------------------, Algebras Intertwining Normal and Decomposable Operators, Can.J. of Math., XXXI, No. 6, 1339-1344 (1979). 

------------------, and M. Radjabalipour, Transitive Algebra Problem and Local Resolvent  Techniques, J. Operator Theory, I, No. 2  (1979).

------------------, and A. R. Sourour, Spectrum Preserving Linear Maps, J. Funct. Anal. 66, No. 2, 255-261 (1986). 

M.D. Choi, A. A. Jafarian, and H. Radjavi, Linear Maps Preserving Commutativity, Linear Alg. Appl. 87, 227-241 (1987).  

A.A.Jafarian and A.R.Sourour,Continuity Properties of Hyperlat and Reducing  Subspaces, Linear Alg. Appl. 141, 253-264 (1990).

-----------------, and A. R. Sourour, Linear Maps that Presere the Commutant, Double Commutant or the Lattice of Invariant Subspaces, Lin. and Mult. Alg., 38, 117-129 (1994).

D. Hadwin, A.A. Jafarian, C. Laurie, E. Nordgren, H. Radjavi and P. Rosenthal, Local Multiplications on Algebras Spanned by Idempotents, Lin. and Mult. Alg.,37, 259-263 (1994). 

A.A.Jafarian,H.Radjavi, P.Rosenthal, and A.R. Sourour, Simultaneous Triangularizability, Near Commutativity, and Rota's Theorem,Trans.of Amer. Math.Soc. 347,No.6,2191-2199 (1995). 

A.A. Jafarian, L. Rodman, and P. Semrl, Linear Maps Preserving the Isomorphism Class of Lattices of Invariant Subspaces, Proc. Of Amer. Math. Soc., 126,3607-3617(1998)

----------------, et. al, Semitransitive Subspaces of Operators, Electronic J. of Lin. Alg., 15, 225-238(2006).

A.A. Jafarian, A Survey of Invertibility and Spectrum Preserving Linear Maps, Bull. of Iranian Mathematical Society, 35. No.2, 1-10, (2009).

J. Bernik, G. Cigler, R. Drnovsek, A.A. Jafarian,et al, Semigroups of Operators With Nonnegative Diagonals, Submitted for publication.

Books  

Translation into Persian of: Calculus and Analytic Geometry, by G.B. Thomas, 1980. (Co-translator: Dr. A.G. Miamee.) 

English-Persian Dictionary of Mathematics and Statistics, Iranian Math. Society,

This was the result of  several years of work accomplished by a group of Iranian mathematicians.  I was one of the editors and a major contributor to this work.)

Courses Taught

Undergraduate : Geometry, Finite Math., Algebra, Logic and Set Theory*,

   Pre-Calculus, Calculus (one and several variables), Differential

   Equations,Linear Algebra, Modern Algebra, Complex Variables,

   Mathematical Analysis.

Graduate :  LinearAlgebra*, Matrix theory with Applications, Wavelets and

  its Applications, MeasureTheory*, Real Analysis*,Complex Analysis*,

  Topology*, Banach Agebras*, Functional Analysis*, and Operator

  Theory*. (The ones with an * were exclusively taught at Sharif

   University of Technology.) 

Other

Offices/Positions Held

• Editorial Board, Bull. of the Iranian Mathematical Society, 1980 – 1988
• Chair, Department of Mathematics & Computer Science

Sharif University of Technology,  Tehran, Iran, 1981 – 1983   

• President, Iranian Mathematical Society, 1978 – 1980
• Chair, Ph.D. Program in mathematics, Sharif Univ. of Tech., 1987 --1988 

Dr. Ali Jafarian joined UNH in fall of 1990. Before coming to UNH (1988-90), he was a visiting professor at University of Victoria, BC, Canada. Prior to that he taught for 15 years at Sharif University of Technology, a highly selective university in Tehran, Iran. He enjoys teaching and working with students.

His field of specialization is Operator Theory, Functional Analysis, and Linear Algebra, with special interest in determining structure of certain linear preservers on spaces of operators or matrices. He is also interested in the Theory of Wavelets and its applications, especially in Medical Imaging. He has written about 20 papers in refereed journals, some of them in collaboration with other

mathematicians from US, Canada, Europe and Iran. He has given talks at several national and international conferences. Although he is a pure mathematician, he is one of the pioneers in the department in promoting the use of technology in teaching. He has attended several workshops on reforms in teaching mathematics with the aid of technology, and uses Maple and MATLAB software in his teaching, whenever appropriate.

Dr. Jafarian has a passion for music, art, Persian poetry and literature, and enjoys gardening and cooking.