A Lifelong Mathematics Learner
I work in combinatorial commutative algebra — the Hilbert theory of polyomino ideals and Cohen–Macaulay posets — and develop computational tools for Macaulay2. I teach mathematics and quantitative methods to university students.
I hold a PhD in Mathematics from Sabancı University, Istanbul, where my research focused on the Hilbert series of polyomino ideals and Cohen–Macaulay posets. Through an Erasmus+ collaboration with the University of Messina, I co-developed and published the PolyominoIdeals package for Macaulay2. I have taught at NUST Business School, Habib University, Sabancı University, and the University of Central Punjab, and have organised numerous international workshops and seminars in mathematics.
Interests
Combinatorial Commutative Algebra
Polyomino Ideals
Computational Algebra (Macaulay2)
Econometrics & Applied Statistics
News
Sep 1, 2025
Joined NUST Business School
— Started as Assistant Professor of Mathematics at NBS, Islamabad. →
Jun 15, 2025
Paper published in Communications in Algebra
— "On Cohen–Macaulay non-prime collections of cells", Vol. 53. →
May 20, 2025
Paper published in Bulletin of the Malaysian Mathematical Sciences Society
— "On Cohen–Macaulay posets of dimension two and permutation graphs". →
Apr 19, 2025
Invited speaker at RAMMMA 2025
— Lahore School of Economics. →
Oct 1, 2023
PolyominoIdeals released in Macaulay2
— Official package for working with collections of cells. →
1
On Cohen–Macaulay non-prime collections of cells
Carmelo Cisto, Rizwan Jahangir, Francesco Navarra
Communications in Algebra, Vol. 53, No. 9, pp. 3555–3580
2
On Cohen–Macaulay posets of dimension two and permutation graphs
Rizwan Jahangir, Dharm Veer
Bulletin of the Malaysian Mathematical Sciences Society, Vol. 48, Article 133
3
Shellable simplicial complex and switching rook polynomial of frame polyominoes
Rizwan Jahangir, Francesco Navarra
Journal of Pure and Applied Algebra, Vol. 228, No. 6, Article 107576
4
PolyominoIdeals: A package for Macaulay2 to work with collections of cells
Carmelo Cisto, Francesco Navarra, Rizwan Jahangir
Computer Algebra Software — Macaulay2
Positions & Education
Positions
Assistant Professor — Mathematics
NUST Business School, NUST
Sep 2025 – Present · Islamabad, Pakistan
NUST Business School, NUST
Sep 2025 – Present · Islamabad, Pakistan
Adjunct Faculty — Mathematics
Habib University
Jan 2025 – Aug 2025 · Karachi, Pakistan
Habib University
Jan 2025 – Aug 2025 · Karachi, Pakistan
Erasmus+ Research Internship
University of Messina
Jun 2023 – Aug 2023 · Messina, Italy
University of Messina
Jun 2023 – Aug 2023 · Messina, Italy
Teaching Assistant
Sabancı University
Sep 2018 – Jan 2024 · İstanbul, Turkey
Sabancı University
Sep 2018 – Jan 2024 · İstanbul, Turkey
Visiting Faculty
University of Central Punjab
Mar 2021 – Aug 2021 · Lahore, Pakistan
University of Central Punjab
Mar 2021 – Aug 2021 · Lahore, Pakistan
Education
PhD in Mathematics
Sabancı University
Sep 2018 – Jan 2024
Hilbert Series of Polyomino Ideals and Cohen–Macaulay Posets
Sabancı University
Sep 2018 – Jan 2024
Hilbert Series of Polyomino Ideals and Cohen–Macaulay Posets
MPhil in Mathematics
Abdus Salam School of Mathematical Sciences, GC University
Sep 2016 – Aug 2018
Hilbert Theory of Polyomino Ideals
Abdus Salam School of Mathematical Sciences, GC University
Sep 2016 – Aug 2018
Hilbert Theory of Polyomino Ideals
BS in Mathematics
University of Education
Oct 2012 – Aug 2016
University of Education
Oct 2012 – Aug 2016