Publications and Projects

Publications

My research endeavors in mathematics have led to various publications in notable journals and platforms. These works reflect my commitment to advancing the field, particularly in areas related to homogeneous dynamics, ergodic theory, and number theory. Below is a list of my publications:

• 1) Seungki Kim, Shahriar Mirzadeh, and Mishel Skenderi

  • Title: "Congruence Conditions in Geometry of Numbers: Measure Estimates and Refinements to Dirichlet's Theorem"

  • Status: In preparation.

• 2) Shahriar Mirzadeh and Dmitry Kleinbock

  • Title: "Dimension Bounds for Escape on Average in Homogeneous Spaces"

  • Year: 2023

  • Preprint Available at: arxiv.org/pdf/2310.00122.pdf

• 3) Shahriar Mirzadeh and Dmitry Kleinbock

  • Title: "Dimension Drop for Diagonalizable Flows on Homogeneous Spaces"

  • Year: 2023

  • Journal: Journal of Modern Dynamics (minor revisions)

• 4) Shahriar Mirzadeh and Dmitry Kleinbock

  • Title: "On the Dimension Drop Conjecture for Diagonal Flows on the Space of Lattices"

  • Year: 2023

  • Journal: Advances in Mathematics

• 5) Shahriar Mirzadeh, Hamid Al-Saqban, Paul Apisa, Alena Erchenko, Osama Khalil, and Caglar Uyanik

  • Title: "Exceptional Directions for the Teichmüller Geodesic Flow and Hausdorff Dimension"

  • Year: 2021

  • Journal: Journal of European Math. Society

• 6) Shahriar Mirzadeh and Dmitry Kleinbock

  • Title: "Dimension Estimates for the Set of Points with Non-Dense Orbit in Homogeneous Spaces"

  • Year: 2019

  • Journal: Math. Zeitshrift