Sara Saeedi Madani - Amirkabir University of Technology

Research Interests

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Title

Start date

1

Combinatorial Commutative Algebra

2

Combinatorial Algebraic Topology

3

Computational Commutative Algebra

4

Polytopes and Convex Geometry

5

Combinatorics and Graph Theory

Supervised MSc Theses

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Thesis title

By

Date

1

Homological and combinatorial invariants of edge ideals of graphs

Hossein Roodbarani & Sara Saeedi Madani

March 2023

2

Betti tables of edge ideals of graphs

Ali Moftakhari Mokhtarianfar & Sara Saeedi Madani

October 2022

3

Binomial ideals associated to combinatorial objects and their powers

Rasool Rostapisheh & Sara Saeedi Madani

September 2022

4

Binomial ideals associated to combinatorial objects and related algebraic and combinatorial invariants

Alireza Masaeli & Sara Saeedi Madani

July 2022

5

Repeated-root constacyclic codes and their duals

Seyedehailar Mousavipour & Sara Saeedi Madani

March 2022

6

Persistent homologies and machine learning

Niloofar Jazaeri & Sara Saeedi Madani

October 2021

7

Algebraic Graph Theoretical Methods in Data Science

Taher Akbari & Sara Saeedi Madani

October 2021

8

Cubical and Path homologies of graphs

Aysa Tajeri Emamchaei & Sara Saeedi Madani

October 2021

9

probabilistic methods in simplicial complexes and ideals

Siavash Askarzadeh Amirbandeh & Sara Saeedi Madani

October 2021

10

Some bounds for domination number of graphs

Ahmadreza Sheykh Mohammadi & Sara Saeedi Madani

April 2021

11

binomial edge ideals of some graphs

Mehdi Barzegarbafruoei & Sara Saeedi Madani

January 2021

12

Algebraic and combinatorial properties of persistent homologies

Azadeh Aslami & Sara Saeedi Madani

October 2020

13

Some Games On Graph:Graph Burning, Firefighter

Abbas Rahimi & Sara Saeedi Madani

September 2019

Books

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Title

Author(s)

Publisher country

publication date

version

Portal Records

1

Homological and Computational Methods in Commutative Algebra-Ideals of poset homomorphisms: a survey

Martina-Juhnke-Kubitzke, Sara Saeedi Madani

Germany

November 2017

1

2

Multigraded algebra and applications - Chapter 4: Binomial Edge Ideals: A Survey

Sara Saeedi Madani

Germany

June 2018

1

Journal Papers

Portal Records

1

Dariush Kiani, Sara Saeedi Madani, Saeed Tafazolian, "Hankel Edge Ideals of Trees and (Semi-)Hamiltonian Graphs", BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, June 2022 Vol. 0, Num. 0, Page 0-0, June 2022,

2

Nursel Erey, Juergen Herzog, Takayuki Hibi, Sara Saeedi Madani, "Matchings and squarefree powers of edge ideals", JOURNAL OF COMBINATORIAL THEORY SERIES A, May 2022 Vol. 188, Num. 105585, Page 0-0, May 2022,

3

Mohammad Rouzbahani Malayeri, Sara Saeedi Madani, Dariush Kiani, "On the depth of binomial edge ideals of graphs", Journal of Algebraic Combinatorics, March 2022 Vol. 55, Num. 1, Page 827-846, March 2022,

4

Sara Saeedi Madani, Dariush Kiani, "Induced matchings in strongly biconvex graphs and some algebraic applications", MATHEMATISCHE NACHRICHTEN, June 2021 Vol. 295, Num. 6, Page 1160-1174, June 2021,

5

Mohammad Rouzbahani Malayeri, Sara Saeedi Madani, Dariush Kiani, "A proof for a conjecture on the regularity of binomial edge ideals", JOURNAL OF COMBINATORIAL THEORY SERIES A, May 2021 Vol. 180, Num. 4, Page 1-9, May 2021,

6

Mohammad Rouzbahani Malayeri, Sara Saeedi Madani, Dariush Kiani, "Binomial edge ideals of small depth", JOURNAL OF ALGEBRA, April 2021 Vol. 572, Num. 8, Page 231-244, April 2021,

7

Sara Saeedi Madani, Dariush Kiani, "The regularity of binomial edge ideals of graphs", AUT Journal of Mathematics and Computing, August 2020 Vol. 1, Num. 2, Page 217-221, August 2020,

8

Mohammad Rouzbahani Malayeri, Sara Saeedi Madani, Dariush Kiani, "Regularity of binomial edge ideals of chordal graphs", COLLECTANEA MATHEMATICA, June 2020 Vol. 72, Num. 2, Page 411-422, June 2020,

9

Sara Saeedi Madani, Dariush Kiani, "Binomial edge ideals of regularity 3", JOURNAL OF ALGEBRA, December 2018 Vol. 515, Num. 23, Page 157-172, December 2018,

10

Tim Romer, Sara Saeedi Madani, "Retracts and algebraic properties of cut algebras", EUROPEAN JOURNAL OF COMBINATORICS, March 2018 Vol. 69, Num. 3, Page 214-236, March 2018,

11

Jurgen Herzog, Dariush Kiani, Sara Saeedi Madani, "The linear strand of determinantal facet ideals", MICHIGAN MATHEMATICAL JOURNAL, April 2017 Vol. 66, Num. 1, Page 107-123, April 2017,

Other Records

1

M. Juhnke-Kubitzke, L. Katthan, S. Saeedi Madani, "Algebraic properties of ideals of poset homomorphisms", J. Algebraic Combin., 2016 Vol. 44, Num. 3, Page 757-784, 2016,

2

D. Kiani, S. Saeedi Madani, "The Castelnuovo-Mumford regularity of binomial edge ideals", J. Combin. Theory Ser. A, 2016 Vol. 139, Num. , Page 80-86, 2016,

3

D. Kiani, S. Saeedi Madani, "Betti numbers of path ideals of trees", Comm. Algebra, 2016 Vol. 44, Num. , Page 5376-5394, 2016,

4

S. Saeedi Madani, D. Kiani, "Cohen-Macaulay and Gorenstein path ideals of trees", Algebra Colloq., 2016 Vol. 23, Num. 3, Page 469-480, 2016,

5

V. Ene, J. Herzog, T. Hibi, S. Saeedi Madani, "Pseudo-Gorenstein and level Hibi rings", J. Algebra, 2015 Vol. 431, Num. , Page 138-161, 2015,

6

J. Herzog, A. Macchia, S. Saeedi Madani, V. Welker, "On the Lovasz ideal of orthogonal representations of a graph in R^2", Adv. in Appl. Math., 2015 Vol. 71, Num. , Page 146-173, 2015,

7

D. Kiani, S. Saeedi Madani, "Some Cohen-Macaulay and unmixed binomial edge ideals", Comm. Algebra, 2015 Vol. 43, Num. , Page 5434-5453, 2015,

8

V. Ene, J. Herzog, S. Saeedi Madani, "A note on the regularity of Hibi rings", Manuscripta Math., 2015 Vol. 148, Num. , Page 501-506, 2015,

9

D. Kiani, S. Saeedi Madani, "The edge ideals of complete multipartite hypergraphs", Comm. Algebra, 2015 Vol. 43, Num. , Page 3020-3032, 2015,

10

D. Kiani, S. Saeedi Madani, N. Terai, "Gorenstein and S_r path ideals of cycles", Glasgow Math. J., 2015 Vol. 57, Num. , Page 7-15, 2015,

11

D. Kiani, S. Saeedi Madani, "Binomial edge ideals with pure resolutions", Collectanea Math., 2014 Vol. 65, Num. 3, Page 331-340, 2014,

12

J. Herzog, S. Saeedi Madani, "The coordinate ring of a simple polyomino", Illinois J. Math., 2014 Vol. 54, Num. 4, Page 981-995, 2014,

13

S. Saeedi Madani, D. Kiani, "On the binomial edge ideal of a pair of graphs", Electron. J. Combin., 2013 Vol. 20, Num. 1, Page P48, 2013,

14

S. Saeedi Madani, D. Kiani, "Binomial edge ideals of graphs", Electron. J. Combin., 2012 Vol. 19, Num. 2, Page P44, 2012,

15

S. Saeedi Madani, D. Kiani, N. Terai, "Sequentially Cohen-Macaulay path ideals of cycles", Bull. Math. Soc. Sci. Math. Roumanie Tome, 2011 Vol. 54, Num. 102, Page 353-363, 2011,

Conference Papers

Portal Records

1

Mohammad Rouzbahani Malayeri, Dariush Kiani, Sara Saeedi Madani, "Some graphical invariants related to binomial edge ideals ", 11?? International Conference on Graph Theory and Algebraic Combinatorics, March 2021

2

Mohammad Rouzbahani Malayeri, Dariush Kiani, Sara Saeedi Madani, "A combinatorial lower bound for the depth of binomial edge ideals ", The 17th (Virtual) Seminar on Commutative Algebra and Related Topics, January 2021

3

Sara Saeedi Madani, Nursel Erey, Juergen Herzog, Takayuki Hibi, "Squarefree Powers of Edge Ideals ", The 16th Seminar on Commutative Algebra and Related Topics, January 2020

4

Mohammad Rouzbahani Malayeri, Dariush Kiani, Sara Saeedi Madani, "On the Depth of Binomial Edge Ideals ", The 16th Seminar on Commutative Algebra and Related Topics, January 2020

5

Mohammad Rouzbahani Malayeri, Dariush Kiani, Sara Saeedi Madani, "Binomial Edge Ideals and Strongly Interval Graphs ", 26th Iranian Algebra Seminar, March 2019

6

Sara Saeedi Madani, Tim Romer, "Toric Algebras Arising from Cuts in Graphs ", The 15th Seminar on Commutative Algebra and Related Topics, January 2019

7

Mohammad Rouzbahani Malayeri, Dariush Kiani, Sara Saeedi Madani, "On a Conjecture About Castelnuovo-Mumford Regularity of Binomial Edge Ideals ", The 15th Seminar on Commutative Algebra and Related Topics, January 2019

8

Sara Saeedi Madani, Dariush Kiani, "Free Resolutions of Binomial Edge Ideals ", The 14th Seminar on Commutative Algebra and Related Topics, January 2018

9

Dariush Kiani, Sara Saeedi Madani, "On some properties of binomial edge ideals ", Combinatorics 2016, May 2016

Taught Courses

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Course title

Description

Headlines

Date

1

Topics in Combinatorics

An introduction to graded rings and modules, and some combinatorial-topological objects like simplicial complexes, and their different properties

Spring 2023

2

Math. (II)

An introduction to vector functions and functions of several variables

Spring 2023

3

Computer Prog.

An Introduction to C programming

Spring 2023

4

Math. (I)

An introduction to complex numbers, real functions, sequences and series and their properties

Fall 2022

5

Graph Theory

Introduction to applications of Linear Algebra in Graph Theory

Fall 2022

6

Computer Prog.

An Introduction to C programming

Fall 2022

7

LINEAR AND MULTILINEAR ALGEBRA

Introduction to applications of Linear Algebra in Graph Theory

Spring 2022

8

Graph Theory

The goal of this course is to enter graph theory with attention to applications of this theory and its relation with other fields of Mathematics.

Spring 2022

9

Math. (II)

An introduction to vector functions and functions of several variables

Spring 2022

10

Math. (II)

An introduction to vector functions and functions of several variables

Spring 2022

11

Math. (I)

An introduction to complex numbers, real functions, sequences and series and their properties

Fall 2021

12

Applied Algebra

An introduction to graded rings and modules, and some combinatorial-topological objects like simplicial complexes, and their different properties

Fall 2021

13

Math. (I)

An introduction to complex numbers, real functions, sequences and series and their properties

Fall 2021