Hang Yuan
I am a tenure-track Assistant Professor at BIMSA.
Previously, I was a Boas Assistant Professor of Mathematics at Northwestern University,
where I was mentored by Professor Eric Zaslow.
I earned my Ph.D from Stony Brook University under the supervision of Professor Kenji Fukaya.
- Office:
- Email:
Research interests
My primary research aims to develop a precise mathematical formulation of the SYZ conjecture by utilizing methods from non-Archimedean analytic geometry, homotopy theory of $A_\infty$ structures, and family Floer theory for quantum correction.
Papers
-
An open-closed string analogue of Hochschild cohomology
arXiv
-
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
(Accepted by Forum of Mathematics, Sigma)
arXiv
slide 1,
2
video 1,
2
-
Family Floer superpotential’s critical values are eigenvalues of quantum product by $c_1$
(Accepted by Selecta)
arXiv
slide
-
Disk counting and wall-crossing phenomenon via family Floer theory
Journal of Fixed Point Theory and Applications, 2022, 24(4): 77
arXiv
slide
video
-
