Moduli Spaces, Virtual Invariants and Shifted Symplectic Structures

Young-Hoon Kiem completed B.S., Mathematics, Seoul National University, in February 1993; Ph.D., M.S., M.Phil., Mathematics, Yale University, in May 2000. Young-Hoon Kiem was Szego Assistant Professor, Department of Mathematics, Stanford University, September 2000–August 2002; Professor, Department of Mathematics, Seoul National University, September 2002–December 2022; Professor, School of Mathematics, Korea Institute for Advanced Study, December 2022–present; and Director, June E Huh Center for Mathematical Challenges, January 2023–February 2024.

• An Introduction to Derived Algebraic Geometry.- An Introduction to Shifted Symplectic Structures.- An Introduction to Virtual Cycles via Classical Algebraic Geometry.- An Introduction to Virtual Cycles via Derived Algebraic Geometry.- An Introduction to Cohomological Donaldson Thomas Theory.- Moduli Spaces of Sheaves: An Overview, Curves and Surfaces.- Sheaf Counting Theory in Dimension Three and Four.