## Muhammad Azeem Khadam

**Address: ***Institute of Mathematics and Scientific Computing*, Heinrichstraße 36, 8010 Graz, Austria

**Office: **Mozartgasse 14, room 0025-02-0030 (2nd floor).

ORCID ID: 0000-0002-2917-6275

**Email: **azeem.khadam@uni-graz.at

**About me**: : I am a Researcher in Algebra and Number Theory Group at University of Graz. From Nov. 2017 until Sep. 2020, I was a Postdoc Fellow at Abdus Salam School of Mathematical Sciences, Lahore. I completed PhD Mathematics in Aug. 2017 and M. Phil Mathematics in Oct. 2013 from ASSMS under the supervision of Professor Peter Schenzel. During 2014-2016, I was a DAAD Research Fellow at MLU Halle-Wittenberg . Before that I did BS Mathematics from University of the Punjab.

For further information, see my CV.

**Research interests**: I am mainly interested in Commutative Algebra and Algebraic Geometry. My recent articles is DOI, where I, together with M.T. Ahmed and T. Dumitrescu, studied those commutative rings which has absorbing factorizations. Please see below a complete list of publications.

**Publications, preprints**:

Commutative rings with absorbing factorization (with M.T. Ahmed and T. Dumitrescu), Communications in Algebra (2020), 1-9.

Secant varieties of toric varieties arising from simplicial complexes (with M. Michalek and P. Zwiernik), Linear Algebra and its Applications

**588**(2020), 428-457 (arXiv: 1908.09671).A criterion of Cohen-Macaulyness of the form module, to appear to J. Commut. Algebra (arXiv: 1908.07317).

Homogeneous principal bundles over manifolds with trivial logarithmic tangent bundle (with H. Azad and I. Biswas), J. Lie Theory

**29**(2019), 941-956 (arXiv: 1908.00522).About a variation of local cohomology (with Peter Schenzel ), to appear to J. Commut. Algebra (2019) (arXiv: 1712.10146)

On regular sequences in the form module with applications to local Bezout inequalities, Bull. Iran. Math. Soc.

**44**(2018), 763-779. (arXiv: 1705.04024)About multiplicities and applications to Bezout numbers (with Peter Schenzel), INdAM Series

**20**(2017), 223-238 (Proceedings of `Homological and Computational Methods in Commutative Algebra' dedicated to Winfried Bruns on his 70th birthday) (arXiv: 1712.10144).

**Recent talks:**

Local Bezout Inequalities, University of Graz (June 2019) -- Online

The use of cumulants, secant varieties and toric geometry, IMH Hanoi (March 2019)

Secant varieties and toric geometry, ASSMS (Oct. 2018)

The use of cumulants, secant varieties and toric geometry, MPI-MiS Leipzig (Sep. 2018)

**Links:** arXiv, mathscinet, zbMATH, commalg