FARHAD RAHMATI
Associate Professor
Department of Mathematics and Computer Science
Pure Mathematics
Department of Mathematics and Computer Science
Pure Mathematics
Download PDF فارسی
Content
Pepole
CV
Download PDF فارسی
Email:
frahmati
aut.ac.ir
aut.ac.irPhone:
h-index (Scopus):
8
Citations (Scopus):
212
Supervised PhD Theses
#
Thesis title
By
Date
1
Combinatorial Aspects Of Toric Varieties and Local Cohomology Of Semigroup Rings With Support On Monomial Ideas
Mahdi Omidali & Farhad Rahmati
November 2006
2
Matrices defining Gorenstein Lattice Ideals
Hossein Sabzrou & Farhad Rahmati
September 2004
Supervised MSc Theses
#
Thesis title
By
Date
1
Numerical semigroup algebras and their coefficient rings
Arman Ataei Kachooei & Farhad Rahmati
February 2024
2
lattice_based cryptography for internet of things
Parisa Abolizadeh Esmaeil Abad & Farhad Rahmati
February 2024
3
Security analysis and enhancement of online/offline digital signature schemes
Saharnaz Berjisi & Farhad Rahmati
September 2023
4
AFFINE SEMIGROUPS OF MAXIMAL PROJECTIVE DIMENSION
Mahdi Taati Jeliseh & Farhad Rahmati
September 2023
5
Topics in Topological Data Analysis
Iylaan Yapeng Gharavi & Farhad Rahmati
August 2023
6
Mathematics of zero knowledge and its applications
Faezeh Khodayari Monfared & Farhad Rahmati
August 2023
7
A secure end_to_end verifiable e_voting system using zero knowledge based blockchain
Amir Hussein Sam & Farhad Rahmati
February 2023
8
primary decomposition of modules: a computational differential approach
Zahra Sadat Momeni Habib Abadi & Farhad Rahmati
October 2022
9
Eternal k- domination on graphs
Sakinesadat Hashemi & Farhad Rahmati
October 2022
10
multivariate public key cryptography based on Grubner bases
Samira Firoozbakhsh & Farhad Rahmati
June 2022
11
privacy and control access of wireless body network based on cloud computing
Fateme Shayan Nezhad & Farhad Rahmati
June 2022
12
On Ideal Lattices and Learning with Errors on Rings
Nafise Aghouee & Farhad Rahmati
March 2022
13
the Waldschmidt constant of special k-configurations in P^n
Maryam Asadinia & Farhad Rahmati
March 2022
14
NTRU cryptosystems implementation analysis
Saber Afkham Javid & Farhad Rahmati
February 2022
15
Dag based distributed ledger
Morteza Mozaffari & Farhad Rahmati
September 2021
16
Transparency and Privacy in Block chain Network
Maedeh Azad & Farhad Rahmati
March 2021
17
security in cryptocurrencies and smart-contract wallets
Edris Mirzaei & Farhad Rahmati
March 2021
18
Proxy Encryption for secure cloud data sharing
Fateme Raei & Farhad Rahmati
February 2021
19
cellular resolutions for some classed of ideals
Mohammad Shiraly & Farhad Rahmati
July 2020
20
Data Hiding using Graphical Codes based Steganography Technique
Ali Hajmahmoodi Varnosfaderani & Farhad Rahmati
February 2020
21
steganography on smartphone
Esmaeil Dansi & Farhad Rahmati
February 2020
22
Application of cryptography in digital currency
Samira Talebi Ajabshir & Farhad Rahmati
October 2019
23
Koszul binomial edge ideals of pairs of graphs
Parisa Sedighi Khalafloo & Farhad Rahmati
July 2019
24
on top dimensional lyubeznik number in mixed charcteristic
Sina Ershadinia & Farhad Rahmati
February 2019
25
Algebraic attacks and grobner bases in post quantom cryptography
Masoud Dashti & Farhad Rahmati
January 2019
26
Universal Grobner Bases for Binary Linear Codes
Nazanin Alinejad & Farhad Rahmati
July 2018
27
Homtopic Frechet distance between curves
Rosa Sadat Seyed Nazar Zadeh & Farhad Rahmati
February 2018
28
metric entropy of homeomorphism on non-compact metric space
Maisam Hedyehloo & Farhad Rahmati
July 2017
29
Lyubeznik table of sequentially Cohen-Macaulay rings
Azita Taghipour & Farhad Rahmati
October 2016
30
Lyubeznik numbers of local rings and linear strands of graded ideals
Iman Jahani & Farhad Rahmati
October 2016
31
Multivariate quadratic polynomials in public key cryptography
Zohreh Sayanjali & Farhad Rahmati
September 2016
32
The Frobenius Problem On Lattices
Sedigheh Eidi & Farhad Rahmati
October 2015
33
Frobenius Vectors and Hilbert Series Associated to Glued Semigroups
Naghme Tavassoli Bonabi & Farhad Rahmati
October 2015
34
Matroids and coding theory
Vahdat Bahreini & Farhad Rahmati
August 2015
35
Algebraic properties of the binomial edge ideal of a complete bipartite graph
Zahrasadat Mousavikhooeini & Farhad Rahmati
October 2014
36
toric ideals and diagonal 2 minors
Razieh Avanloo Aveh & Farhad Rahmati
October 2014
37
the multi dimentional frobenius problem
Akbar Abbasifard & Farhad Rahmati
August 2014
38
An approach to Network Coding via Commutative Algebra
Parisa Moradi Esmaiyli & Farhad Rahmati
December 2013
39
Generators of toric ideals of graphs and hyper graphs
Parvaneh Nadi & Farhad Rahmati
October 2013
40
ASSOCIATED PRIMES OF POWERS OF EDGE IDEALS
Fatemeh Alibakhshi & Farhad Rahmati
October 2013
41
Primer for the algebraic geometry of sandpiles
Saba Aliyari & Farhad Rahmati
October 2013
42
INDISPENSABLE BINOMIALS IN SEMIGROUP IDEALS
Ali Mahdavi & Farhad Rahmati
September 2013
43
parameterized linear codes of an algebric toric set
Hamideh Khajeh Nasir & Farhad Rahmati
September 2013
44
Relation between combinatorial structure of binomial ideals and their singularities
Hamid Damadi & Farhad Rahmati
September 2012
45
Algebraic methods for parameterized codes and invariants of vanishing ideals over finite fields
Fatemeh Akbari Jodaghayeh & Farhad Rahmati
September 2012
46
Binomial ideal associated to graph
Afsaneh Khaghaniazar & Farhad Rahmati
June 2012
47
The study of homogeneous universal partial ordered set and the exictence of its generic
Negar Ranjbar & Farhad Rahmati
February 2012
48
Combinatorial construction of optical orthogonal codes
Masoume Sheikhi Kiasari & Farhad Rahmati
February 2012
49
An algorithmic framework for wireless networks information flow with network coding
Meisam Navaki Arefi & Farhad Rahmati
January 2012
50
Inducing polygons in arrangment of lines
Marjan Abedin & Farhad Rahmati
September 2011
51
Construction and analysis of grobner bases for codes and lattices
Elham Babaei & Farhad Rahmati
September 2011
52
Wireless localization by geometric algorithms
Mahsa Soheil Shamaee & Farhad Rahmati
September 2011
53
Geometric stability theory & application of model theory to algebraic geometry
Hosein Taghinejad & Farhad Rahmati
February 2011
54
TORIC IDEALS GENERATED BY CIRCUITS
Mohammadhossein Ghaffari Bazarjomeh & Farhad Rahmati
February 2011
55
Ideals and graphs Grobner bases and decision procedures in graphs
Nahid Nasibi & Farhad Rahmati
November 2010
56
computability in banach and measure spaces via domain theory
Hosein Pourmahdian & Farhad Rahmati
July 2010
57
lambada calculus and exact real computation
Majadeh Pasdar & Farhad Rahmati
November 2009
58
cone and quasi metric spaces via domain theory
Mohsen Khani & Farhad Rahmati
September 2009
59
monomial ideals edge ideals of hypergraphs and their graded betti numbers
Rafieh Razavi Nazari & Farhad Rahmati
July 2009
60
shellable graphs and sequentially cohen- macaulay bipartite graphs
Atena Tahmasebpourmeikola & Farhad Rahmati
June 2009
61
The diameter of zero divisor graph
Hossein Shojaei Jeshvaghani & Farhad Rahmati
November 2008
62
Comp utationalalgebraic topology /computing persistent homology
Zahra Momen & Farhad Rahmati
September 2008
63
Computational algebraic topology -Localized Homology
Maliheh Ali Asgari & Farhad Rahmati
September 2008
64
Cofiniteness and associated primes of local cohomology models
Mehdi Esfandyary & Farhad Rahmati
December 2005
65
Groups in which the prime graph is a tree
Ezat Fakhraei & Farhad Rahmati
January 2005
66
On systems of binomides in the ideal of a toric variety
Zahra Hassanifarahani & Farhad Rahmati
November 2004
67
Geometric codes over fields of odd prime power order
Seyyed Mojtaba Ghasemi & Farhad Rahmati
November 2004
68
The covers of natherian modules
Ali Alilooee Dolatabad & Farhad Rahmati
October 2004
69
Primery Decomposition of kettrce basis Ideals
Ahmad Kazemifard & Farhad Rahmati
February 2004
70
Local cohomolojy at monomial ideals
Hengameh Hemmati & Farhad Rahmati
November 2003
71
Toric ideas
Nader Omidi & Farhad Rahmati
September 2003
Journal Papers
Portal Records
1
Majid Yousefi Khoshbakht, Farzad Didehvar, Farhad Rahmati, Zakir Hussain Ahmed, "Fixed fleet open vehicle routing problem:
Mathematical model and a modified an
colony optimization", BULLETIN OF THE POLISH ACADEMY OF SCIENCES-TECHNICAL SCIENCES, January 2024
Vol. 72,
Num. 1,
Page 1-10,
January 2024,
2
Nadia Taghipour, Shamila Bayati, Farhad Rahmati, "Comparison of symbolic and ordinary powers of parity
binomial edge ideals", MONATSHEFTE FUR MATHEMATIK, November 2023
Vol. online,
Num. 2023,
Page 1-16,
November 2023,
3
Amin Hossein Gholi Zadeh, Farhad Rahmati, , Hamid Damadi, Ximeng Liu, "Privacy-preserving joint data and function homomorphic encryption for cloud software services", IEEE Internet of Things Journal, June 2023
Vol. 1,
Num. 11,
Page 728-741,
June 2023,
4
Vahid Nourozi, Farhad Rahmati, "THE RANK OF THE CARTIER OPERATOR ON CERTAIN Fq2-MAXIMAL FUNCTION FIELDS", Missouri Journal of Mathematical Sciences, December 2022
Vol. 34,
Num. 2,
Page 184-190,
December 2022,
5
Iman Jahani, Shamila Bayati, Farhad Rahmati, "On the Equality of Symbolic and Ordinary Powers of
Binomial Edge Ideals", BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, December 2022
Vol. 54,
Num. 7,
Page 1-13,
December 2022,
6
Vahid Nourozi, Farhad Rahmati, Saeed Tafazolian, "The a-Number of Certain Hyperelliptic Curves", Iranian Journal of Science & Technology, July 2022
Vol. 46,
Num. 4,
Page 1235-1239,
July 2022,
7
Morteza Mozaffari, Farhad Rahmati, "Applying IOTA into distributed computing to master the uncertainty", AUT Journal of Mathematics and Computing, January 2022
Vol. 3,
Num. 1,
Page 93-99,
January 2022,
8
Parvaneh Nadi, Farhad Rahmati, "Lyubeznik numbers of almost complete intersection and linked ideals", HIROSHIMA MATHEMATICAL JOURNAL, November 2021
Vol. 52,
Num. 1,
Page 1-9,
November 2021,
9
Vahid Nourozi, Saeed Tafazolian, Farhad Rahmati, "The a-number of jacobians of certain maximal curves", TRANSACTIONS ON COMBINATORICS, June 2021
Vol. 10,
Num. 2,
Page 121-128,
June 2021,
10
Hamid Damadi, Farhad Rahmati, "On the rank of the holomorphic solutions of PDE associated to directed graphs", AUT Journal of Mechanical Engineering, January 2021
Vol. 1,
Num. 2,
Page 1-9,
January 2021,
11
Parvaneh Nadi, Farhad Rahmati, "Lyubeznik and Betti numbers for homogeneous ideals", ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, December 2020
Vol. 50,
Num. 6,
Page 2157-2165,
December 2020,
12
Haniyeh Fallaheslamloo, Farzad Didehvar, Farhad Rahmati, "An approximation algorithm for the balanced capacitated minimum spanning tree problem", Scientia Iranica, November 2020
Vol. 0,
Num. 0,
Page 0-0,
November 2020,
13
Vahid Nourozi, Farhad Rahmati, Morteza Ahmadi, "McCoy property of Hurwitz series rings", asian european journal of mathematics, September 2020
Vol. 0,
Num. 0,
Page 0-0,
September 2020,
14
Haniyeh Fallaheslamloo, Farzad Didehvar, Farhad Rahmati, "Approximation Algorithms for the Load-Balanced Capacitated Vehicle Routing Problem", Bulletin of the Iranian Mathematical Society, August 2020
Vol. -,
Num. 0,
Page 0-0,
August 2020,
15
Parvaneh Nadi, Farhad Rahmati, Majid Eghbali, "Lyubeznik tables of linked ideals", JOURNAL OF ALGEBRA AND ITS APPLICATIONS, July 2020
Vol. 19,
Num. 7,
Page 1-7,
July 2020,
16
Bahareh Lajmiri, Farhad Rahmati, "PROPERTIES OFT-SPREAD PRINCIPAL BOREL IDEALS GENERATED IN DEGREE TWO", FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, April 2020
Vol. 35,
Num. 1,
Page 131-140,
April 2020,
17
Hosein Kheiri, Farhad Rahmati, Azam Etemad, "A Classification of Line Bundles over a Scheme", Iranian Journal of Science & Technology, January 2020
Vol. 44,
Num. 1,
Page 259-263,
January 2020,
18
Jurgen Herzog,, Bahareh Lajmiri, Farhad Rahmati, "On the associated prime ideals and the depth of powers of squarefree principal Borel ideals", International Electronic Journal Of Algebra, July 2019
Vol. 26,
Num. 0,
Page 224-244,
July 2019,
19
Shamila Bayati, Farhad Rahmati, "Depth of powers of generalized Hibi ideals", JOURNAL OF ALGEBRA AND ITS APPLICATIONS, March 2019
Vol. 0,
Num. 0,
Page 0-0,
March 2019,
20
Hossein Shojaei Jeshvaghani, Farhad Rahmati, "THE DIAMETER OF THE ZERO-DIVISOR GRAPH OF
THE IDEALIZATION OF THE RING R IN R", JP Journal of Algebra Number Theory and Applications, January 2019
Vol. 39,
Num. 5,
Page 603-618,
January 2019,
21
Zahra Ferdosi, Farhad Rahmati, Mohammad Hosein Tadoyon, "On the Stopping Distance of SA-LDPC Codes by Transversal Designs", IEEE Access-OPEN, July 2018
Vol. 6,
Num. 0,
Page 40979-40989,
July 2018,
22
Seyyede Masoome Seyyedi Siahkole, Farhad Rahmati, "Some Algebraic and Combinatorial Prop erties of the
Complete T-Partite Graphs", Iranian Journal of Mathematical Sciences and Informatics, March 2018
Vol. 13,
Num. 1,
Page 131-138,
March 2018,
23
Hamid Damadi, Farhad Rahmati, "ON LATTICE IDEALS AND LATTICE BASIS IDEALS ASSOCIATED TO
ORIENTED GRAPHS", TRANSACTIONS ON COMBINATORICS, February 2018
Vol. 7,
Num. 2,
Page 35-46,
February 2018,
24
Nastaran Keyvan, Farhad Rahmati, "PRODUCTS OF GRAPHS AND NORDHAUS-GADDUM TYPE INEQUALITIES", TRANSACTIONS ON COMBINATORICS, February 2018
Vol. 7,
Num. 1,
Page 31-36,
February 2018,
25
Zahra Ferdosi, Farhad Rahmati, Mohammad H. Tadayon, "Effect of one redundant parity-check equation
on the stopping distance", JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, February 2018
Vol. 0,
Num. 0,
Page 1-13,
February 2018,
26
Seyyede Masoome Seyyedi Siahkole, Farhad Rahmati, "Regularity and projective dimension of the edge ideal of a generalized theta graph", TURKISH JOURNAL OF MATHEMATICS, January 2018
Vol. 42,
Num. 1,
Page 320-338,
January 2018,
27
Elaheh Banisaeed, Farhad Rahmati, Khadijeh Ahmadi, Majid Eghbali, "On the relation between formal grade and depth with a view toward vanishing of Lyubeznik numbers", COMMUNICATIONS IN ALGEBRA, April 2017
Vol. 45,
Num. 12,
Page 5137-5144,
April 2017,
28
Mahdis Saeedi, Farhad Rahmati, "ON THE HILBERT SERIES OF BINOMIAL EDGE IDEALS OF GENERALIZED
TREES", TRANSACTIONS ON COMBINATORICS, December 2016
Vol. 6,
Num. 3,
Page 11-28,
December 2016,
29
Ali Mahdavi, Farhad Rahmati, "On the Frobenius vector of some simplicial affine semigroups", BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, November 2016
Vol. 23,
Num. 4,
Page 573-582,
November 2016,
30
Ali Mahdavi, Farhad Rahmati, "ON NUMERICAL SEMIGROUPS WITH EMBEDDING DIMENSION THREE", TRANSACTIONS ON COMBINATORICS, July 2016
Vol. 6,
Num. 2,
Page 1-6,
July 2016,
31
Hamid Damadi, Farhad Rahmati, "Smoothness in Binomial Edge Ideals", Mathematics, June 2016
Vol. 4,
Num. 37,
Page 1-6,
June 2016,
32
Seyyede Masoome Seyyedi Siahkole, Farhad Rahmati, "Cohen Macaulayness and Arithmetical Rank of Generalized Theta Graphs", Mathematics, June 2016
Vol. 4,
Num. 43,
Page 1-18,
June 2016,
33
Majid Yousefi Khoshbakht, Azam Dolatnejad, Farzad Didehvar, Farhad Rahmati, "A Modified Column Generation to Solve the Heteregoneous Fixed Fleet Open Vehicle Routing Problem", Journal of Engineering, May 2016
Vol. 0,
Num. 0,
Page 1-13,
May 2016,
34
Majid Yusefi Khoshbakht, Farzad Didehvar, Farhad Rahmati, "A Mixed Integer Programming Formulation for the Heterogeneous Fixed Fleet Open Vehicle Routing Problem", Journal of Optimization in Industrial Engineering, July 2015
Vol. 8,
Num. 18,
Page 37-46,
July 2015,
35
Majid Yousefi Khoshbakht, Farzad Didehvar, Farhad Rahmati, "An Effective Rank Based Ant System Algorithm for Solving the Balanced Vehicle Routing Problem", International journal of industrial engineering - Theory Applications and Practice, February 2015
Vol. 23,
Num. 1,
Page 45-55,
February 2015,
36
Seyyede Masoome Seyyedi Siahkole, Farhad Rahmati, "SOME PROPERTIES OF GLUED GRAPHS AT COMPLETE CLONE IN THE
VIEW OF ALGEBRAIC COMBINATORIC", Science International-Lahore, December 2014
Vol. 27,
Num. 1,
Page 39-47,
December 2014,
37
Saeed Akbari, Dariush Kiani, Fatemeh Mohammadi, Somayeh Moradi, Farhad Rahmati, "An Algebraic Criterion for the Choosability of Graphs", GRAPHS AND COMBINATORICS, March 2014
Vol. 30,
Num. 2,
Page 1-10,
March 2014,
38
Majid Yousefi Khoshbakht, Farzad Didehvar, Farhad Rahmati, "An Efficient Solution for the Vehicle Routing Problem by Using a Hybrid Elite Ant System", INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL, March 2014
Vol. 9,
Num. 3,
Page 340-347,
March 2014,
39
Saeed Akbari, Farhad Rahmati, Sanaz Zare Firoozabadi, "Zero-Sum Magic Labelings and Null Sets of Regular Graphs", ELECTRONIC JOURNAL OF COMBINATORICS, March 2014
Vol. 21,
Num. 2,
Page 1-9,
March 2014,
40
Sanaz Zare Firoozabadi, Farhad Rahmati, "On the signed star domination number of regular multigraphs", PERIODICA MATHEMATICA HUNGARICA, January 2014
Vol. 68,
Num. 1,
Page 1-8,
January 2014,
41
Shamila Bayati, Farhad Rahmati, "Squarefree Vertex Cover Algebra", COMMUNICATIONS IN ALGEBRA, December 2013
Vol. 1,
Num. 42,
Page 1532-1538,
December 2013,
42
Majid Yousefi Khoshbakht, Mohammad Sedighpour, Vahid Ahmadi, Farzad Didehvar, Farhad Rahmati, "Solving the Open Vehicle Routing Problem by a Modified Ant Colony
Optimization", KUWAIT JOURNAL OF SCIENCE & ENGINEERING, December 2013
Vol. 40,
Num. 3,
Page 12-32,
December 2013,
43
Majid Yousefi Khoshbakht, Farzad Didehvar, Farhad Rahmati, "Solving the heterogeneous fixed fleet open vehicle routing problem by a combined metaheuristic algorithm", INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH, November 2013
Vol. 51,
Num. 24,
Page 1-11,
November 2013,
44
Shamila Bayati, Farhad Rahmati, "SQUAREFREE VERTEX COVER ALGEBRAS", COMMUNICATIONS IN ALGEBRA, October 2013
Vol. 42,
Num. 4,
Page 1518-1538,
October 2013,
45
Majid Yousefi Khoshbakht, Shahrood Azami, Farzad Didehvar, Farhad Rahmati, "An Ant Colony algorithm hybridized with insert and swap heuristics for the Vehicle Routing Problem with Time Windows", , October 2013
Vol. 9,
Num. 4,
Page 15-30,
October 2013,
46
Majid Yousefi Khoshbakht, Farzad Didehvar, Farhad Rahmati, "An Improved Modified Tabu Search Algorithm to Solve
the Vehicle Routing Problem with Simultaneous Pickup
and Delivery", Journal of Advances in Computer Research, May 2013
Vol. 3,
Num. 4,
Page 55-66,
May 2013,
47
Majid Yousefi Khoshbakht, Farzad Didehvar, Farhad Rahmati, "Modification of the Elite Ant System in Order to Avoid
Local Optimum Points in the Traveling Salesman Problem", WULFENIA, September 2012
Vol. 19,
Num. 9,
Page 181-195,
September 2012,
48
Majid Yousefi Khoshbakht, Farzad Didehvar, Farhad Rahmati, "A Hybrid Ant Colony System for the Heterogeneous Fleet Vehicle Routing Problem", , September 2012
Vol. 9,
Num. 2,
Page 191-207,
September 2012,
49
Farzad Didehvar, M. Yousefikhoshbakht, Farhad Rahmati, M. Sedighpour, "An Effective Imperialist Competitive Algorithm for Solving the Open Vehicle Routing Problem", , May 2012
Vol. 9,
Num. 1,
Page 20-34,
May 2012,
50
Majid Yousefikhoshbakht, Farzad Didehvar, Farhad Rahmati, "Application a Modified Imperialist Competitive Algorithm for Solving the Traveling Salesman Problem", , January 2012
Vol. 1,
Num. 2,
Page 29-49,
January 2012,
51
Leili Sharifan, Farhad Rahmati, "Rigid resolution of a finitely generated module over a regular local ring", Bulletin of the Iranian Mathematical Society, October 2010
Vol. 36,
Num. 2,
Page 85-97,
October 2010,
52
Mahdi Omidali, Farhad Rahmati, "OnThe Type and The Minimal Presentation of Certain Numerical Semigroups", , March 2009
Vol. ,
Num. 37,
Page 0-0,
March 2009,
53
Hossein Sabzrou, Farhad Rahmati, "The Frobenius Number And a -Invariant", , December 2006
Vol. ,
Num. 6,
Page 0-0,
December 2006,
54
Mahdi Omidali, Farhad Rahmati, "On The Regularity and Hilbert Function of Projective Monomial Curves", , December 2005
Vol. 0,
Num. 0,
Page 0-0,
December 2005,
55
Hossein Sabzrou, Farhad Rahmati, "Matrices defining gorenstein lattice ideals", , April 2005
Vol. ,
Num. ,
Page 0-0,
April 2005,
56
Farhad Rahmati, Amir Hashemi, "A note on the fitting ideals in free resolution", , December 2001
Vol. ,
Num. 2,
Page 0-0,
December 2001,
Conference Papers
Portal Records
1
Seyyede Masoome Seyyedi Siahkole, Farhad Rahmati, "Arithmetic rank of the edge ideals of generalized theta graphs ", 9th graph theory and algebraic combinatorics, February 2017
2
Hamid Damadi, Farhad Rahmati, "Partial equation systems associated to directed graphs ", 9th graph theory and algebraic combinatorics, February 2017
3
Mahdis Saeedi, Farhad Rahmati, "Hilbert series of some binomial edge ideals ", 25th Iranian Algebra Seminar, July 2016
4
Ali Mahdavi, Farhad Rahmati, "Every positive integer is the Frobenius number for a numerical semigroup with embedding dimension three ", 25th Iranian Algebra Seminar, July 2016
5
Seyyede Masoome Seyyedi Siahkole, Farhad Rahmati, "Projective dimension of the edge ideal of some graphs ", 8th conference and workshop on algebraic combinatorics and graph theory, October 2015
6
Mahdis Saeedi, Farhad Rahmati, "Hilbert series of binomial edge ideal of generalized sun-graphs ", 8th Conference on Algebraic Combinatorics and Graph Theory, October 2015
7
Seyyede Masoome Seyyedi Siahkole, Farhad Rahmati, "Betti numbers, regularity and projective dimension of lollipop graphs ", 24th Iranian Algebra Seminar, November 2014
8
Mahdis Saeedi, Farhad Rahmati, "Height of binomial edge ideal of closed graphs expansion graphs and some classes of glued graphs ", The 45th Annual Iranian Mathematics Conference, August 2014
9
Seyyede Masoome Seyyedi Siahkole, Farhad Rahmati, "Study of algebraic properties of pseudo-complete graphs ", The 45th Annual Iranian Mathematics Conference, August 2014
10
Mahdis Saeedi, Farhad Rahmati, "Some results on height in binomial edge ideals ", 6th Algebraic Combinatorics of Iran, October 2013
11
Seyyede Masoome Seyyedi Siahkole, Farhad Rahmati, "Betti numbers of glued graphs of complete graphs at complete clone ", 6th Algebraic and Combinatorics Conference of Iran, October 2013
12
Farzaneh Amini, Farhad Rahmati, "Cryptosystem arising from a zero-dimensional ideal in a polynomial ring ", Groups, Group Rings and Related Topics, October 2013
13
Seyyede Masoome Seyyedi Siahkole, Farhad Rahmati, Mahdis Saeedi, "Shellable and Cohen-Macaulay T-partite graphs ", 5th Conference on Algebraic Combinatorics and Graph Theory, July 2012
14
Hamid Damadi, Farhad Rahmati, "Edge singularity of graphs ", 5th Conference on Algebraic Combinatorics and Graph Theory, July 2012
15
Shamila Bayati, Farhad Rahmati, "Squarefree Vertex Cover Algebra ", 2nd Seminar on Combinatorial Commutative Algebra, February 2012
16
Mahdis Saeedi, Farhad Rahmati, Seyyede Masoome Seyyedi Siahkole, "Some Properties of Binomial Edge Ideals ", 22 nd Iranian Algebra Seminar, January 2012
17
Alireza Jahangirian, Farhad Rahmati, "Development of Iranian railways : past . present and future ", , June 2001
18
Farhad Rahmati, Amir Hashemi, "Generalied weak resolution ", , March 2000
19
Farhad Rahmati, "deformation of isolated singularities of toric projective surfaces ", , March 1998
Taught Courses
#
Course title
Description
Headlines
Date
1
Elliptic Curve Cryptography
Introduction to elliptic curves and related topics, dicrete logaritm for elliptic curves and applications in cryptography
Spring 2024
2
Foundation of Mathematics
Understanding the basics of logic and set theory and acquisition of the necessary skills to understand mathematical concepts
Spring 2024
3
Math. (I)
The aim of this cours is to convey to the stu- dent a sense of the utility of calculus and develop technical competence
Spring 2024
4
Advanced Algebra
آشنایی کلی با مباحث پیشرفته جبری که می تواند در به کارگیری این مباحث در سایر بخشهای ریاضی مفید باشد.
Fall 2023
5
Information theory and Applications
Introduction to Information theory and concept of entropy, relative entropy, and mutual information and its applications
Fall 2023
6
Special Topic (Algebraic aspects of cryptography-post-quantum cryptography)
To introduce the mathematical and algebraic aspects of cryptography
Spring 2023
7
Philosophy of Science (Math)
Presentaion of foundations of philosophy, science and philosophy of science
Spring 2023
8
Math. (I)
The aim of this cours is to convey to the stu- dent a sense of the utility of calculus and develop technical competence
Spring 2023
9
Cryptography 1
Introduction to Cryptography and the role of mathematics in its development
Fall 2022
10
Math. (I)
The aim of this cours is to convey to the stu- dent a sense of the utility of calculus and develop technical competence
Fall 2022
11
Foundation of Matrix & Linear Algebra
The purpose of this course is to present the basic concepts of matrix algebra and vector spaces and applications to solving linear equations system.
Fall 2022