Research
Research Papers:
Polynomiality of the faithful dimension for nilpotent groups over finite truncated valuation rings (with Keivan Mallahi-Karai, Hadi Salmasian and Dzmitry Rumiantsau), Transactions of the American Mathematical Society, in press. [PDF]
Polynomial configurations in sets of positive upper density over local fields, (with Keivan Mallahi-Karai), Journal d'Analyse Mathématique, 142(1). [PDF]
Kirillov's orbit method and polynomiality of the faithful dimension of p-group, (with Keivan Mallahi-Karai and Hadi Salmasian), Compositio Mathematica. Volume 155, Issue 8, 2019. [PDF]
On the chromatic number of structured Cayley graphs, (with Keivan Mallahi-Karai), J. Combin. Theory Ser. A 160 (2018). [PDF]
On equality of ranks of local components of automorphic representations, (with Hadi Salmasian). Int. Math. Res. Not. 2018, no. 8. [PDF]
On a generalization of the Hadwiger-Nelson problem, (with Keivan Mallahi-Karai). Israel J. Math. 217 (2017), no. 1. [PDF]
Minimal dimension of faithful representations for p-groups, (with Keivan Mallahi-Karai and Hadi Salmasian). J. Group Theory 19 (2016), no. 4. [PDF]
Faithful representations of Chevalley groups over quotient rings of non-Archimedean local fields, (with Camelia Karimianpour, Keivan Mallahi-Karai and Hadi Salmasian). Groups Geom. Dyn. 11 (2017), no. 1. [PDF]
On the Erdos-Ko-Rado property for finite Groups, (with Keivan Mallahi-Karai). J. Algebraic Combin. 42 (2015), no. 1. [PDF]
Quasi-Random profinite groups, (with Keivan Mallahi-Karai). Glasg. Math. J. 57 (2015), no. 1 . [PDF]