Ali Aligholi

About Me

My full first name is Mohammadali, but I go by Ali. I’m a 5th-year PhD student in pure mathematics at UW–Madison, advised by Laurentiu Maxim. I graduated with a Bachelor of Science in pure mathematics from Sharif University of Technology in Tehran, Iran, in 2022.

Research Interests

• Mixed Hodge Modules and Topology of Singular Complex Algebraic Varieties
• Analytic Realizations of Topological and Algebraic Objects in analytic K-Theory

Publications and Preprints

• Around a class version of the Hodge index theorem for singular varieties
  with Laurentiu Maxim and Jörg Schürmann
  Submitted. arXiv:2511.08780

Conferences

• Geometry and Topology of Hypersurfaces, AMS Southeastern Sectional Meeting, Oct. 2026, Kennesaw, GA
• Singularities in Topology and Physics, ICM 2026 Satellite Conference, Aug. 2026, University of Notre Dame, IN
• Singularities in the Midwest, X, May 2026, Madison, WI
• Riemann-Hilbert and Singularities of Algebraic Varieties, AMS Eastern Sectional Meeting, Apr. 2026 , Boston, MA
• 2025 Summer Research Institute in Algebraic Geometry, July 2025, Colorado State University in Fort Collins, CO
• Derived Categories and Mirror Symmetry, May 2025, UW-Madison, WI
• Singularities in the Midwest, IX, Apr. 2025, UW-Madison, WI
• Arithmetic and Topology Over Global Fields, Oct. 2022, UW-Madison, WI
• 2022 IAS/Park City Mathematics Institute Summer Program, July 2021, Virtual

Teaching

• Fall 26: Instrcutor, Math 96 — Preparatory Algebra, UW–Madison