Dr. Imran Anwar joined the Department of Mathematics SBASSE as Associate Professor and the Chair of the Department in 2021. He completed his PhD from the Abdus Salam School of Mathematical Sciences (ASSMS), GC University Lahore in 2008. He served as an Assistant Professor of Mathematics in COMSATS Institute of Information Technology, Lahore between 2008 and 2015. Later in 2015, he got affiliated with the Abdus Salam School of Mathematical Sciences (ASSMS) as Associate Professor and served there till 2020. Among various roles at ASSMS, he was the Director Academics and MPhil/PhD coordinator. He has always been spirited about teaching mathematics and motivating students to solving problems, thinking critically, and feeling excited about the subject. Being in a leadership role at the Abdus Salam School of Mathematical Sciences (ASSMS), he curated study circles, public lectures and instilled a deep fascination for the mathematical universe, into the minds of numerous students, even outside the institution. His area of research is combinatorial aspects of commutative algebra, in particular problems related with enumerative study of simplicial complexes. For more information about his publications: visit his personal website.
| Title | Publication | Author | Year |
|---|---|---|---|
| Combinatorial g-conjecture for interval subdivisions | Communications in Algebra | 2022 | |
| On ?? - and local ?? -vectors of the interval subdivision | Journal of Algebraic Combinatorics | 2021 | |
| Algebraic characterization of the SSC ??<inf>s</inf>(G<sup>1</sup><inf>n,r</inf>) | Journal of Combinatorial Mathematics and Combinatorial Computing | 2020 | |
| Algebraic Characterization of the SSC A,(G1n,r,) | Journal of Combinatorial Mathematics and Combinatorial Computing | 2020 | |
| Cohen-Macaulay modifications of the facet ideal of a simplicial complex | Journal of Algebra and its Applications | 2020 | |
| The f- and h-vectors of interval subdivisions | Journal of Combinatorial Theory. Series A | 2020 | |
| Algebraic Characterization of the SSC ??-s(????????.r) | Journal of Combinatorial Mathematics and Combinatorial Computing | 2019 | |
| Monomial Ideals with Quasi-Linear Quotients | Lobachevskii Journal of Mathematics | 2019 | |
| Algebraic characterization of graphical degree stability | Communications of the Korean Mathematical Society | 2019 | |
| On algebraic characterization of SSC of the Jahangir's graph I<inf>n,m</inf> | Open Mathematics | 2018 | |
| A note on: Quasi-linear quotients and shellability of pure simplicial complexes | Communications in Algebra | 2018 | |
| On the connectedness of f-simplicial complexes | Journal of Algebra and its Applications | 2017 | |
| Spanning Simplicial Complexes of Uni-Cyclic Graphs | Algebra Colloquium | 2015 | |
| On Characteristic Poset and Stanley Decomposition of S/I | Algebra Colloquium | 2015 | |
| Quasi-linear quotients and shellability of pure simplicial complexes | Communications in Algebra | 2015 | |
| A construction of Cohen-Macaulay f-graphs | Journal of Algebra and its Applications | 2014 | |
| On the algebraic study of spanning simplicial complexes of r-cyclic graphs G<inf>n, r</inf> | Ars Combinatoria | 2014 | |
| On the Characterization of f-Ideals | Communications in Algebra | 2014 | |
| On characteristic poset and stanley decomposition | Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica | 2014 | |
| Inclusion ideals associated to uniformly increasing hypergraphs | Studia Scientiarum Mathematicarum Hungarica | 2013 | |
| F-Ideals of degree 2 | Algebra Colloquium | 2012 | |
| Janet's algorithm | Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie | 2008 | |
| An upper bound for the regularity of ideals of borel type | Communications in Algebra | 2008 | |
| Stanley conjecture in small embedding dimension | Journal of Algebra | 2007 |