Soheil Memarian Sorkhabi
Soheil Memarian Sorkhabi
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About Me:
About Me:
I am currently a postdoc at Purdue University. I received my PhD from the University of Toronto under the supervision of Jacob Tsimerman.
I will be on the academic job market this fall for positions beginning in fall 2027.
Research:
Research:
My research interests lie in arithmetic and algebraic geometry. In particular, I am interested in problems around rational points on algebraic varieties, geometry of moduli spaces, hyperbolicity, and positivity of vector bundles.
Publication
Publication
Volumes of Subvarieties of Complex Ball Quotients and Sparsity of Rational Points, published in Crelle’s Journal. [arxiv] [journal article]
Preprint
Preprint
Positivity of the Cotangent Bundle of Complex Hyperbolic Manifolds with Cusps, submitted. [arxiv]
Sparsity of rational points on torsion level covers of Hilbert modular varieties, submitted. [arxiv]
Rational curves on toroidal compactifications of Picard modular varieties, joint with Sai-Kee Yeung. [arxiv]
Upcoming Work
Upcoming Work
Degree of Irrationality of Compact Locally Symmetric Domains, joint with Sai-Kee Yeung
Density Degree Sets in Families, joint with Nathan Chen, Morena Porzio, and Lea Beneish
Perverse Sheaves on Ball Quotients, joint with Mert Akdenzili
Talks:
Talks:
Aug 4, 2026, Brown University, Workshop on Arakelov and Diophantine Geometry, title: Geometric torsion for abelian varieties with real multiplication (lightning talk).
March 6, 2026, University of California, San Diego, WAGS Spring Meeting, title: Hyperbolicity properties of non-compact complex ball quotients (short talk).
June 24, 2025, ICERM, Brown University, Algebraic Points on Curves, title: Growth rate of rational points on complex ball quotients (short talk).
June 16, 2025, University of Notre Dame, CMND International Conference: Discrete Groups in Topology and Algebraic Geometry, title: Controlling the growth rate of rational points via the systole.
Oct 14, 2024, Purdue University, Geometry and Geometric Analysis Seminar, title: Hyperbolicity of subvarieties in non-compact ball quotients.
Dec 2, 2023, CMS Winter Meeting, Montreal, title: Growth rate of rational points on non-compact ball quotient.
Nov 10, 2023, University of Toronto, Number Theory Seminar, title: Sparsity of rational points on non-compact ball quotients.
April 12, 2023, Rice University, AGNT Seminar, title: Subvarieties of complex ball quotients.
Feb 10, 2023, Interuniversity Center for Research in Geometry and Topology at Montreal, CIRGET seminar,
title: Hyperbolicity of complex ball quotients [slides].
March 25, 2021, University of Toronto, JNTS, title: Rarity of rational points on hyperbolic varieties [slides].
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