
T (+98) 23 352 20220
Email: international@du.ac.ir
Damghan University
University Blvd, Damghan, IR
President of Damghan University and Associate Professor of Informatics
Dr. Abdolali Basiri was born in Damavand, Tehran, Iran. He received undergraduate degree in science in mathematics from Ferdowsi University of Mashhad, Iran and master degree in pure mathematics from Tehran University. He earned a Ph.D. in Informatics from Paris VI University, France. He then held faculty positions at the University of Damghan. He was dean of school of mathematics and computer sciences in 2004-2006, and became vice president in educational affairs in 2006-2010. He was also chairman of international and scientific cooperation office in 2010-2014 at Damghan University.
Dr. Abdolali Basiri’s research has focused on Gröbner basis and its applications in cryptography.
Informatics
Thesis: Gröbner basis and LLL Algorithm, Fast Arithmetic of Cab Curves
Supervisors: J.C. Faugère, D. Lazard
Paris VI University, France
Pure Mathematics
Thesis: Local Defining Ideal of a Generic Quadruple Point
Supervisor: R. Zaare-Nahandi
Tehran University, Tehran, Iran
Mathematics (application in computer)
Ferdowsi University of Mashhad, Mashhad, Iran
INDEX KEYWORDS: Equivalence classes; Inverse problems, Algebraic polynomials; Computational problem; Divisibility problem; Equivalence relations; Interval arithmetic; Interval coefficients; Interval polynomials; Mathematical science, Polynomials
PUBLISHER: Springer Netherlands
DOI: 10.3233/IFS-151801
AUTHOR KEYWORDS: characteristic sets; fuzzy polynomial systems; Polynomial systems; Wu's algorithm
INDEX KEYWORDS: Algebra; Algorithms; Parameter estimation, Algebraic method; Characteristic set; Finding solutions; Parametric forms; Polynomial equation; Polynomial systems; Solution procedure; Triangular sets, Polynomials
PUBLISHER: IOS Press
DOI: 10.1007/s40815-015-0033-4
AUTHOR KEYWORDS: Characteristic sets; Fuzzy polynomial systems; Polynomial systems; Wu's algorithm
INDEX KEYWORDS: Algorithms, Algebraic approaches; Characteristic set; Dual form; Fuzzy matrix; Polynomial systems; Real coefficients; Solution procedure; Wu's method, Polynomials
PUBLISHER: Springer Berlin Heidelberg
DOI: 10.1016/j.tcs.2015.01.045
AUTHOR KEYWORDS: F4 algorithm; F5 algorithm; Invariant ring; SAGBI-Gröbner basis
INDEX KEYWORDS: Algebra, Computer algebra systems; Invariant algorithms; Invariant ring; Permutation group, Algorithms
PUBLISHER: Elsevier
DOI: 10.4018/IJFSA.2015040101
AUTHOR KEYWORDS: Fuzzy numbers; Fuzzy surfaces; Gröbner bases; Level sets
PUBLISHER: IGI Global
DOI: 10.1007/s00500-014-1249-1
AUTHOR KEYWORDS: Eigenvalue method; Fuzzy numbers; Gröbner basis; Real solution; System of fuzzy polynomial equations
INDEX KEYWORDS: Eigenvalues and eigenfunctions; Fuzzy sets, Eigenvalue methods; Existence of Solutions; Fuzzy numbers; Polynomial equation; Real solutions; Solution set; Solution types; Sufficient and necessary condition, Polynomials
PUBLISHER: Springer Verlag
DOI: 10.3233/IFS-2012-0646
AUTHOR KEYWORDS: affine varieties; fully fuzzy polynomial equations systems; Fuzzy numbers; Gröbner bases
INDEX KEYWORDS: affine varieties; Basis property; Fuzzy numbers; Numerical example; Original systems; Polynomial equation; Positive solution, Fuzzy sets, Polynomials
DOI: 10.1016/j.ins.2012.07.029
AUTHOR KEYWORDS: F 4 algorithm; Faugère's algorithm; Fuzzy number; Gröbner basis; Lexicographical order; System of fuzzy polynomial equation
INDEX KEYWORDS: Actual environments; Engineering design process; Fuzzy numbers; Lexicographical order; Numerical example; Parametric forms; Polynomial equation; Triangular structures; Uncertainty modelling, Algorithms; Fuzzy sets; Fuzzy systems; Uncertainty analysis, Polynomials
DOI: 10.5560/zna.2013-0044
AUTHOR KEYWORDS: Ansatz Method; Gröbner Basis; Quantum Mechanics
AUTHOR KEYWORDS: Application of gr̈obner bases; Automatic geometric theorem proving; Cryptography; Gr̈obner bases; Graph coloring
INDEX KEYWORDS: Automatic geometric theorem proving; Geometric theorem proving; Graph coloring problem; Graph colorings; Geometric theorem proving; Graph coloring problem; Graph colorings, Cryptography; Problem solving; Theorem proving; Cryptography; Theorem proving, Graph theory; Graph theory
AUTHOR KEYWORDS: Gröbner basis; Invariant ring; Permutation groups; Reduction; SAGBI- Gröbner basis
INDEX KEYWORDS: Gaussian elimination; Invariant ring; matrix; Permutation group, Engineering; Reduction; Technology, Linear algebra
AUTHOR KEYWORDS: Algebraic curve cryptography; Discrete logarithm problem; Jacobian group; Miura curve
INDEX KEYWORDS: Algebraic curve cryptography; Discrete logarithm problems; Jacobian group; Miura curve, Algorithms; Cryptography; Number theory, Algebra; Algorithms
AUTHOR KEYWORDS: Algebraic curve cryptography; Discrete logarithm problem; Jacobian group; Miura curve
INDEX KEYWORDS: Algebraic curve cryptography; Discrete logarithm problems; Jacobian group; Miura curve, Algorithms; Cryptography; Number theory, Algebra
DOI: 10.1090/S0025-5718-04-01699-0
AUTHOR KEYWORDS: Arithmetic; Cab curve; Gröbner basis; Jacobian; Superelliptic curve
INDEX KEYWORDS: Artificial intelligence; Computer science; Computers, Distinct elements; Explicit formula; Jacobians; Superelliptic curves, Number theory