Ali Akbar YAZDAN POUR
Assistant Prof. of Mathematics

Welcome to my homepage

Institute for Advanced Studies in Basic Sciences (IASBS), Prof. Yousef Sobouti Blvd., P. O. Box 45195-1159 Zanjan 45137-66731 Iran.
Fax: (+98) 24 3315 5142. Tel: (+98) 24 3315 5047.

Curriculum Vitae


Personal info
Name:                       Ali Akbar
Last Name:              YAZDAN POUR
Date of Birth:          11 September 1981
Birth Place:             Qaemshahr, Mazandaran, Iran
Citizen:                     Iranian
Status:                      Married


Current Address
Department of Mathematics,
Institute for Advanced Studies in Basic Sciences (IASBS),
No. 444, Prof. Yousef Sobouti Blvd.
P.O. Box: 45195-1159,
Zanjan 45137-66731,
IRAN.
Phone:          (+98) 24 33 15 5083 (Office)
Fax:              
(+98) 24 33 15 5097 (Dept.)
E-mail:           yazdan [at] iasbs.ac.ir
                        aliyazdanpoor [at] gmail.com


Education
2004- B.Sc. in Mathematics
           Shiraz University, Shiraz, IRAN.

2007- M.Sc. in Mathematics (Algebra)
           Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan, IRAN.
        
          Thesis: Simplicial Complexes and Their Cohen-Macaulay Properties
          Supervisor: Rashid Zaare-Nahandi

2012- Ph.D. in Mathematics
           Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan, IRAN
           and
           Institut Joseph Fourier-Grenoble I (UJF), Grenoble, FRANCE

          Thesis: Resolution and Castelnuovo-Mumford Regularity
         Supervisors: Marcel Morales (UJF), Rashid Zaare-Nahandi (IASBS)


Research interests


Specific Topics of interests


Publications
1.
S. Faridi, M. Farrokhi D. G., R. Ghorban and A. A. Yazdan Pour, Cellular resolutions of monomial ideals and their Artinian reductions,. to appear in J. Pure and Applied Algebra.
2.
R. Abdolmaleki and A. A. Yazdan Pour, The saturation number of monomial ideals, Communications in Algebra, vol. 51(8), pp. 3163-3171, (2023).
3.
R. Jafari and A. A. Yazdan Pour, Shedding vertices and ass-decomposable monomial idealsRocky Mountain Journal of Mathematics, vol. 53(1), pp. 89-101, (2023).
4.
M. Farrokhi D. G., Y. Sadegh, and A. A. Yazdan Pour, Green-Lazarsfeld index of square-free monomial ideals and their powers, Journal of Algebra, vol. 622, pp. 676-693, (2023).
5.
A. Nasrollah Nejad, and A. A. Yazdan Pour, The Valabrega-Valla Module of Monomial Ideals, Journal of Algebra and its Applications, vol. 22, No. 2, 2350053 (21 pages), (2023).
6.
M. Farrokhi D. G., and A. A. Yazdan Pour, New methods for constructing shellable simplicial complexes, Mathematical Researches, vol. 8, No. (4), pp. 164-179, (2023). (In persian).
7.
M. Farrokhi D. G., Sh. Gharakhloo, and A. A. Yazdan Pour, Positive matching decompositions of graphs, Discrete Applied Mathematics, vol. 320, pp. 311-323, (2022).
8.
M. Bigdeli, and A. A. Yazdan Pour, Multigraded minimal free resolutions of simplicial subclutters, Journal of Combinatorial Theory, Series A, vol. 178, 105339, (2021).
9.
M. Bigdeli, A. A. Yazdan Pour, and R. Zaare-Nahndi, Decomposable clutters and a generalization of Simon's conjectutre, Journal of Algebra, vol. 531, pp. 102-124, (2019).
10.
A. Nasrollah Nejad, A. Nikseresht, A. A. Yazdan Pour, R. Zaare-Nahandi, On the blowup of affine spaces along monomial ideals: Tameness, Journal of Symbolic Computation, vol. 93, pp. 85-99, (2019).
11.
M. Bigdeli, J. Herzog, A. A. Yazdan Pour, and R. Zaare-Nahandi, Simplicial orders and chordality, Journal of Algebraic Combinatorics, vol. 45, Issue 4, pp. 1021-1039, (2017).
12.
A. A. Yazdan Pour, Candidates for Non-zero Betti Numbers of Monomial IdealsCommunications in Algebra, vol. 45, no. 4, pp. 1483-1492, (2017).
13.
M. Bigdeli, A. A. Yazdan Pour, and R. Zarre-Nahandi, Stability of Betti numbers under reduction processes: Towards chordality of clutters, Journal of Combinatorial Theory, Series A, vol. 145, pp. 129-149, (2017) .
14.
M. Morales, A. A. Yazdan Pour and R. Zaare-Nahandi, Regularity and Free Resolution of Ideals which are Minimal to d-linearity, Mathemathica Scandinavica, vol. 118 (2), pp. 161-182, (2016).
15.
M. Morales, A. Nasrollah Nejad, A. A. Yazdan Pour and R. Zaare-Nahandi, Monomial ideals with 3-linear resolutions, Annales de la faculté des sciences de Toulouse Sér. 6, 23: (4), pp. 877-891, (2014).
16.
M. Morales, A. A. Yazdan Pour and R. Zaare-Nahandi, Castelnuovo-Mumford regularity under reduction processes on graphs and hypergraphs, Electronic Notes in Discrete Math., vol. 45, pp. 57-62, (2014).
17.
M. Morales, A. A. Yazdan Pour and R. Zaare-Nahandi, The regularity of edge ideals of graphs, J. Pure and Applied Algebra, vol. 216, issue 12, pp. 2714-2719, (2012).
Commutative Algebra and Algebraic Geometry
Computational aspects of Commutative Algebra and Algebraic Geometry
Combinatorial Commutative Algebra
Graded minimal free resolution of monomial ideals
Betti numbers of monomial ideals
Castelnuovo-Mumford regularity


Lectures in Conferences
1.
Gluing simplicial complexes: Topological and Combinatorial Properties, International Conference on Algebraic Geometry, Coding Theory and Combinatorics (in honour of Sudhir Ghorpade on the occasion of his 60th birthday), 4-8 December 2023, Indian Institute of Technology Hyderabad, Hyderabad, India.
2.
Gröbner basis and Krull dimension of Lovasz-Saks-Sherijver ideal associated to a tree, 54th Annual Iranian Mathematics Conference, 23-25 August 2023, University of Zanjan, Zanjan, Iran.
3.
Shedding Vertices and Ass-Decomposable Monomial Ideals,18th Seminar on Commutative Algebra and Related Topics, 9-11 January 2022, IPM (Tehran), Iran.
4.
Methods for Constructing Shellable Simplicial Complexes, 51st Annual Iranianian Mathematics Conference, 16-19 February 2021, Kashan University, Kashan, Iran.
(Presented by A. Shamsian).
5.
On the blowup of Ank along a monomial ideal, 25th Iranian Algebra Seminar, 19-20 July 2016, Hakim Sabzevari University, Sabzevar, Iran.
(Presented by R. Zaare-Nahandi)
6.
Simplicial orders and Betti numbers of chordal hypergraphs, 25th Iranian Algebra Seminar,
19-20 July 2016, Hakim Sabzevari University, Sabzevar, Iran.
7.
Chordal graphs vs chordal hypergraphs: An Algebraic point of view, 8th Conference and workshop on Algebraic combinatorics and graph theory, 7-8 October 2015, Imam Khomeini International university, Qazvin, Iran
8.
Two results on the regularity of monomial ideals, CIMPA/TÜBITAK/GSU Summer School on Algebraic Geometry and Number Theory, 2- 13 June 2014, Galatasaray University, Istanbul, Turkey.
9.
Castelnuovo-Mumford regularity under reduction processes on square-free ideals, 3rd Seminar on Combinatorial Commutative Algebra, 5-6 February 2014, IPM, Tehran, Iran.
(Invited Speaker)

10.
Two results on Castelnuovo-Mumford regularity, 10th Seminar on Commutative Algebra and Related Topics, 18-19 December 2013, IPM, Tehran, Iran.
11.
Resolution of Ideals which are Minimal to d-linearity, 43rd Iranian Mathematics Conference, 27-30 August 2012, University of Tabriz, Tabriz, Iran.
12.
Castelnuovo-Mumford regularity under reduction processes on Graphs and Hypergraphs, 5th Conference on Algebraic Combinatorics and Graph Theory, 3-4 July 2012, University of Kashan, Kashan, Iran.
13.
Regularity of monomial ideals generated in degree 2 and 3, 2nd Seminar on Combinatorial Commutative Algebra, IPM, February 2012.
(Presented by R. Zaare-Nahandi)
14.
A classification of monomial ideals with 3-linear minimal free resolution, 22nd Iranian Algebra Seminar, Sabzevar Tarbiat Moallem University, 31 Jan - 2 Feb 2012.
(Presented by R. Zaare-Nahandi as Keynote speaker)
15.
A Review of Canonical Modules, University of Zanjan (In occasion of research week), 14-20 December 2008, Zanjan, Iran.


Workshops and Conferences
1.
19th Seminar on Commutative Algebra and Related Topics, 31 January 2024 - 1 February 2024, IPM (Tehran), Iran.
2.
International Conference on Algebraic Geometry, Coding Theory and Combinatorics (in honour of Sudhir Ghorpade on the occasion of his 60th birthday), 4-8 December 2023, Indian Institute of Technology Hyderabad, Hyderabad, India
3.
CIMPA-NCM school on Finite Geometry and Coding Theory, 20 November 2023 - 1 December 2023, Indian Institute of Technology Hyderabad, Hyderabad, India.
4.
54th Annual Iranian Mathematics Conference, 23-25 August 2023, University of Zanjan, Zanjan, Iran.
5.
Interactions Between Topological Combinatorics and Combinatorial Commutative Algebra (23w5003), 2-7 April 2023, Banff, Canada (attended virtually).
6.
18th Seminar on Commutative Algebra and Related Topics, 9-11 January 2022, IPM (Tehran), Iran.
7.
CIMPA, School on Combinatorial Commutative Algebra, 5-14 March 2018, COMSATS,
Lahore, Pakistan.
8.
Workshop on Combinatorial Commutative Algebra, 12-14 April 2017, Amirkabir University of Technology, Tehran, Iran.
9.
25th algebra seminar, 20-21 July 2016, Hakim Sabzevari university, Sabzevar, Iran.
10.
8th Conference and workshop on Algebraic combinatorics and graph theory, 7-8 October 2015, Imam Khomeini International university, Qazvin, Iran
11.
Summer School on Commutative Algebra and Algebraic Geometry, 7-10 September 2014, IPM, Tehran, Iran.
12.
CIMPA/TÜBITAK/GSU Summer School on Algebraic Geometry and Number Theory, 2- 13 June 2014, Galatasaray University, Istanbul, Turkey.
13.
3rd Seminar on Combinatorial Commutative Algebra, 5-6 February 2014, IPM, Tehran, Iran.
14.
10th Seminar on Commutative Algebra and Related Topics, 18-19 December 2013, IPM, Tehran, Iran.
15.
43rd Iranian Mathematics Conference, 27-30 August 2012, University of Tabriz, Tabriz, Iran.
16.
5th Conference on Algebraic Combinatorics and Graph Theory, 3-4 July 2012, University of Kashan, Kashan, Iran.
17.
Workshop on Computational Commutative Algebra, 2-7 July 2011, IPM, Tehran, Iran.
18.
CIMPA-UNESCO-PAKISTAN, Combinatorial and Computational Aspects of Commutative Algebra, 21-28 February 2009, Abdus Salam School of Mathematical Sciences, Lahore, Pakistan.
19.
19th Algebra Seminar of Iran, 11-12 February 2008, Semnan University, Semnan, Iran.
20.
4th Seminar on Commutative Algebra and Related Topics,  16-17 November 2007, IPM, Tehran, Iran.
21.
CIMPA-UNESCO-SPAIN, New Trends in Singularity Theory, 14-21 August 2006, Universidad Complutense de Madrid (UCM), Madrid, Spain.

22.
Winter School on Commutative Algebra and Applications (WSCA06), 30 January - 3 February 2006, University of Barcelona, Barcelona, Spain.

23.
CIMPA-UNESCO-ZANJAN, School on GrÖbner Bases and Applications, 9-22 July 2005, Institute for Advanced Studies in Basic Sciences, Zanjan, Iran.
24.
4th Student Seminar on Mathematics, March 16-18, 2002, Shiraz University, Shiraz, Iran.


Scholarships and Supports
1.
Financial support of CIMPA/NCM for attending at research School on "Finite Geometry and Coding Theory", Hyderabad, India.
2.
Financial support of CIMPA/TÜBITAK/GSU for attending at Summer School on "Algebraic Geometry and Number Theory", Istanbul, Turkey.
3.
Scholarship of French Government for PhD program at "Université de Grenoble I- Institut Joseph Fourier".
4.
Financial support of CIMPA for attending workshop on "Combinatorial and Computational Aspects of Commutative Algebra", Lahore, Pakistan.
5.
Financial support of CIMPA for attending workshop on "New Trends on Singularity", Madrid, Spain.
6.
Financial support of University of Barcelona for attending "Winter School on Commutative Algebra and Applications", Barcelona, Spain.


Supervised MSc Students


Computer Skills


Languages
Persian (Maternal),
English (Professional),
French (Basic),
Arabic (Reading and Writing).
Programming with C, C++ and Java
Familiar with MAPLE, GAP, CoCoA, Singular, LaTex, XePersian
Environments: Windows, Linux.
1.
Mohsen Shekari (Joint with R. Zaare-Nahandi)
Thesis: Monomial ideals with linear quotients
September 2013
2.
Khadigeh Amini Gavanroodi
Thesis:
On Homological dimensions and their interactions
March 2014
3.
Fatemeh Bizhani
Thesis:
On Properties of Total Graph Associated to a Commutative Ring with Identity
September 2014
4.
Narges Akbari Safa (Joint with R. Zaare-Nahandi)
Thesis:
Mathematical Aspects of Tiling
September 2014
5.
Farinaz Salehi
Thesis:
Castelnuovo-Mumford regularity of powers of ideals associated to chordal graphs
March 2015
6.
Alireza Shamsian (Joint with R. Zaare-Nahandi)
Thesis: Some generalization of chordal graphs from algebraic point of view
December 2016
7.
Atiye Rabiei
Thesis:
Local Cohomology and ideal transform functor from algebraic and geometric point of view
February 2017
8.
Shahin Ghasemloo Gheydari
Thesis:
Dimension filtration and clean filtration of simplicial complexes and sequentially Cohen-Macaulay property
September 2018
9.
Yasaman Delpak
Thesis: Homological algebra in Abelian Categories and studying some special homologies
August 2023
Download My CV     In English        In Persian


Organizing schools and workshops
1.
Third seminar on Challenges facing mathematical education, 2-4 November 2022, IASBS, Zanjan, Iran
(Member of the organizing committee)
2.
7th Summer school for undergraduate students, August 27-September 6, 2022, IASBS, Zanjan, Iran
(Member of the organizing committee)
3.
Third Research School on Commutative Algebra and Algebraic Geometry (RSCAAG-3)
"Applied algebraic geometry"
, August 17-29, 2019, IASBS, Zanjan, Iran.
(Member of the Organizing committee)
4.
Second Research School on Commutative Algebra and Algebraic Geometry (RSCAAG-2)
"Computational commutative Algebra"
, September 1-12, 2018, IASBS, Zanjan, Iran.
(Chair of the Organizing committee)
5.
Third Summer school for undergraduate students, August 26-September 5, 2018, IASBS, Zanjan, Iran.
(Member of the Organizing committee)
6.
First Research School on Commutative Algebra and Algebraic Geometry (RSCAAG)
"Algebra, combinatorics and geometry of monomial algebra"
, August 5-17, 2017, IASBS, Zanjan, Iran.
(Chair of the Organizing committee)
7.
The 9th Seminar on Geometry and Topology, July 26-27, 2017, University of Maragheh, Maragheh, Iran.
(Member of the Scientific committee)
8.
First Summer school for undergraduate students, August 28-September 8, 2016, IASBS, Zanjan, Iran.
(Member of the Organizing committee)
Supervised PhD Students


1.
Yasin Sadegh (Joint with Jafar Azami)
Thesis: On local cohomology modules and Green-Lazarsfeld index of powers of monomial ideals
August 2022
2.
Shekoofeh Gharakhloo (Joint with Rashid Zaare-Nahandi)
Thesis: Studying algebraic properties of Lovász-Saks-Schrijver ideals
August 2022