Research

Algebraic and polyhedral combinatorics. Matroid theory and hyperplane arrangements.

Publications:

• Matroid Chern-Schwartz-MacPherson cycles and Tutte activities with Spencer Backman, Proceeding of the American Mathematical Society to appear.
• Eulerian polynomials for subarrangements of Weyl arrangements with Masahiko Yoshinaga and Tan Nhat Tran, Advances in Applied Mathematics (2021).

Preprints:

• Another approach to volume of matroid polytopes (2018).
• Character polynomials for two rows and hook partitions (2018).

Seminars nowadays:

• Combinatorial Hodge theory (Spring 2022).
• Real Algebraic Geometry (Spring 2022).

Selected talks:

• Matroid CSM classes and Tutte activities, International Workshop P-positivity in Matroid Theory and Related Topics, RIMS, Kyoto, Online Conference, October 4-8, 2021.
• Eulerian polynomials for subarrangements, Arrangements at Home, Online Conference, May 5-6, 2020.
• Cyclic flat approach to matroid polytopes volume, Recent advances in matroids and Tutte polynomials, Hokkaido Summer Institute, Hokkaido University, Japan, July 22-26, 2019.

MPhil Students:

• Hira Nasir

Teaching

I have taught undergraduate and graduate courses. Here are some links available for my students.

Abdus Salam School of Mathematical Sciences (Lahore, Pakistan):

• Commutative Algebra (Summer 2021).

Habib University (Karachi, Pakistan):

• Linear Algebra (Winter 2021).
• Engineering Mathematics. (Fall 2021).

Western University (London, Ontario, Canada):

• Applied Logic for CS (Fall 2020).
• Calculus 1000 (Fall 2019).
• Calculus 1000 (Fall 2017).
• Putnam Seminar (2016-17).