# Imran Anwar

## Academic Director & Associate Professor

### Abdus Salam School of Mathematical Sciences,

### Lahore, Pakistan.

Email: imrananwar@sms.edu.pk, iimrananwar@gmail.com

Google Scholar Profile Research Gate Profile

## Research Interests

My research interests stretched in Commutative Algebra, Algebraic Geometry. In particular, most of my research contributions fall in the combinatorial commutative algebra. Moreover, interests in enumerative combinatorics.

## Academic Professional Experience

July, 2020 - to date Academic Director Abdus Salam School of Mathematical Sciences Lahore-Pakistan.

September, 2015 - to date Associate Professor Abdus Salam School of Mathematical Sciences Lahore-Pakistan.

April, 2008 – September, 2015 Assistant Professor COMSATS Institute of Information Technology, Lahore-Pakistan.

## Essays/Blogs

Robert Langlands: 2018 Abel Prize winner and Revolutionary Mathematician

Trending Attitudes of Teaching and Learning Mathematics

What is it like being a mathematician? World of a Mathematician!

Qualitative Shift in Mathematical Education

Sir Michael Atiyah: A Great Sovereign of the Mathematical Empire (1929 – 2019)

Where do Two Parallel Lines Meet?

## Courses Taught at Graduate Level

Advanced Geometry Advanced Algebra-I Combinatorial Geometry Advanced Linear Algebra

Algebraic Geometry Advanced Algebra-II Commutative Algebra

## Research Papers

The f- and h-vectors of interval subdivisions, (with S. Nazir)

* Journal of Combinatorial Theory Series A,* Volume 169, 105124 (2020).

On $\gamma$- and local $\gamma$-Vectors of the Interval Subdivision, (with S. Nazir)

* Journal of Algebraic Combinatorics, *https://doi.org/10.1007/s10801-020-00937-4 (2020).

Cohen Macaulay Modifications of the Facet Ideal of a Simplicial Complex, (with S. Ahmad and Z. Kosar)

** *** Journal of Algebra and its Applications* 2050060 (2020).

Algebraic Characterization of $\Delta_s(G_{n,r}^1)$, (with A. Kashif and Z. Raza)

to appear in * Journal of Combinatorial Mathematics and Combinatorial Computing* (2020).

Monomial Ideals with Quasi-Linear Quotients, (with A. Ahmad and S. Nazir)

* Lobachevskii Journal of Mathematics*, 40( 1), 85–89, (2019).

Algebraic Characterization of Graphical Degree Stability, (with A. Khalid)

* Communications of the Korean Mathematical Society*, 34 (1), 113-125, (2019).

* Communications in Algebra*, 46 (2), (2018). (pdf)

On Algebraic Characterization of SSC of the Jahangir's Graph $\mathcal{J}_{n,m}$, (with A. Kashif and Z. Raza)

* Open Mathematics*, 16, (1), 250–259, (2018).

On the Connectedness of f- Simplicial Complexes, (with H. Mahmood, M. A. Binyamin and S. Yasmeen)

* Journal of Algebra and its Applications*,16(1), 1750017 (2017).

Spanning Simplicial Complexes of Uni-Cyclic Graphs, (with A. Kashif and Z. Raza)

* Algebra Colloquium*, 22 (4), 707-710, (2015).

* Communications in Algebra*, 43, 4698–4704, (2015).

On Characteristic Poset and Stanley Decomposition of $S/I$, (with S. Ahmad)

* Algebra Colloquium*, 22 (Spec 1), 739-744, (2015).

On Characteristic Poset and Stanley Decomposition, (with S. Ahmad and A. A. Qureshi)

* Analele Stiintifice ale Universitatii Ovidius Constanta*, 22(2), 21-28, (2014).

A construction of Cohen-Macaulay f-Graphs, (with H. Mahmood and M. K. Zafar )

* Journal of Algebra and its Applications*, 13(6) 1450012, (2014).

On the Characterization of f-ideals, (with H. Mahmood, M. K. Zafar and M. A. Binyamin)

* Communications in Algebra*, 42, 3736–3741, (2014).

On the Algebraic Study of Spanning Simplicial Complexes of r-cyclic Graphs $G_{n,r}$, (with Z. Raza)

* Ars Combinatoria*, 115, 89–99, (2014).

Inclusion Ideal Associated to Uniformly Increasing Hypergraphs, (with S. Ahmad, A. Haider and A. Inam)

* Studia Scientiarum Mathematicarum Hungarica* 50 (2), 199-206 (2013).

f-ideals of Degree 2, with (G. Q. Abbasi, S. Ahmad and W. A. Baig)

* Algebra Colloquium*, 19 (Spec 1), 921-926, (2012).

Janet’s Algorithm,

51(99)1, 11-19, (2008).**Bulletin Mathematique de la Société des Sciences Mathématiques de Roumanie**Upper bound on the regularity of ideals of Borel Type, (with S. Ahmad)

* Communications in Algebra*, 36, 670-673, (2008).

Stanley Conjecture in Small Embedding Dimensions, (with D. Popescu)

* Journal of Algebra,* 318, 1027–1031, (2007).