Hang Yuan

I am a Boas Assistant Professor of Mathematics at Northwestern University, and my research mentor is Professor Eric Zaslow. I graduated from Stony Brook University under the supervision of Professor Kenji Fukaya.

• Office: Lunt Hall 106A
• Email: hyuan[at]northwestern.edu

Research interests

My recent research aims to develop a precise mathematical formulation of the SYZ conjecture, bridging mirror sides via fibration duality, by utilizing methods from non-Archimedean analytic geometry, homotopy theory of $A_\infty$ structures, and family Floer theory for quantum correction.

Papers

• Lagrangian Floer cohomology over affinoid coefficients (in preparation)
• Non-archimedean analytic continuation of unobstructedness arXiv slide
• Family Floer SYZ conjecture for $A_n$ singularity arXiv slide
• Family Floer SYZ singularities for the conifold transition arXiv slide
• Family Floer mirror space for local SYZ singularities arXiv slide 1, slide 2 video 1, video 2
• Family Floer superpotential’s critical values are eigenvalues of quantum product by $c_1$ arXiv slide (part)
• Disk counting and wall-crossing phenomenon via family Floer theory arXiv slide video
• Family Floer program and non-archimedean SYZ mirror construction arXiv slide video, thesis