Yunfeng Jiang
Research Interests
Algebraic geometry. I am especially interested in the moduli space of stable maps, moduli space of sheaves (or derived objects) on algebraic curves, surfaces, threefolds or fourfolds; and the corresponding enumerative invariants such as Gromov-Witten invariants, Donaldson-Thomas invariants, Gopakumar-Vafa invariants and Vafa-Witten invariants. This was inspired by string theory, quantum field theory and gauge theory in theoretical physics. I am also interested in the overlap between birational geometry and enumerative algebraic geometry, for instance the obstruction theory on the moduli of log general type varieties and the virtual fundamental class on the moduli of log general type surfaces.
My Research
My preprints on (Front for Math Arxiv)
Recent Research Talk Videos
Georgia Algebraic Geometry Symposium
Conferences
Current Teaching
Past Teaching at KU
Math 996--Hilbert schemes and counting invariants (see Canvas)
Spring 2024 Math 290, Math 590 Elementary Linear Algebra
Fall 2023 Math 790: Advanced Linear Algebra
Spring 2023 Math 290: Elementary Linear Algebra
Fall 2022 Math 290: Elementary Linear Algebra
Spring 2022 Math 290: Elementary Linear Algebra
Fall 2021 Math 996: Geometry of moduli of sheaves
Spring 2021 Math 146: Honor Calculus II
Spring 2021 Math 320: Elementary Differential Equations
Fall 2020 Math 996: Topics on moduli space of sheaves
Spring 2020 Math 821: Algebraic Topology
Spring 2019 Math 126: Calculus II (MWF 11-11:50pm at Wescoe 3140)(Please see the Blackboard)
Fall 2018 Math 996: Topics on Hilbert Schemes
Spring 2018 Math 146: Honor Calculus II
Math 290: Linear Algebra
Fall 2017 Math 146: Honor Calculus II
Fall 2016 Math 146: Honor Calculus II
Fall 2015 Math 223: Vector Calculus
Math 996: Toric Varieties
Spring 2015 Math 223: Vector Calculus
Fall 2014 Math 223: Vector Calculus
Math 910: Algebraic Curves
Spring 2014 Math 243: Vector Calculus
Math 831: Commutative Algebra(closed)
Fall 2013 Math 558 Section 2, Math558(closed)
Past Teaching at Utah
Spring 2010 Math1210-001, Math1210-006 (closed)
Fall 2009 Math4200-001 (closed)
Spring 2009 Math1090-003(closed)
Fall 2008 Math5310 (closed), Math1220-Section-3 (closed)
Spring 2008 Math1220-001 (closed)
Fall 2007 Math1220-002 (closed)
Conferences