Yifan Li
Email: yifan at ibs dot re dot kr
Current Position
Postdoctoral research fellow in Center for Geometry and Physics, Institute for Basic Science (IBS)
Education
- 2010-2014 Bachelor of Science in Department of Mathematical Science, Tsinghua University
- 2014 Exchange study in Departement de Mathematiques et Applications, l’Ecole normale superieure
- 2014-2019 Doctor of Philosophy under the supervise of Prof. Li Si, in Yau Mathematical Sciences Center, Tsinghua University
Research Interest
Geometry and topology, mathematical physics. Specifically, non-commutative geometry and mirror symmetry, including Koszul duality theory, Landau-Ginzburg models, Frobenius manifolds, variation of semi-infinite Hodge structures, deformation quantization and cohomological field theory.
Publication and Preprints
- with S. Li & W. He, G-twisted braces and orbifold Landau-Ginzburg Models, Communications in Mathematical Physics 373.1 (2020): 175-217.
- with S. Li & W. He, Unfolding of Orbifold LG B-Models: A Case Study, Pure and Applied Mathematics Quarterly 14.3 (2018): 443-465.
Invited Talks
- 09/11/2017 Hochschild cohomology of curved algebras and orbifold Landau-Ginzburg models, Symplectic Geometry and Mathematical Physics Seminar, Peking University
- 28/11/2017 Orbifold Landau-Ginzburg models via algebraic methods, Mathematical Physics Seminar, Sichuan University
- 15/01/2018 Orbifold Landau-Ginzburg models, East Asian Core Doctoral Forum on Mathematics 2018, Beijing, China
- 20/07/2018 Mathematical aspects of Landau-Ginzburg models, Poster Session, String-Math 2018, Tohoku University
- 13/11/2018 Hochschild cohomology of curved algebras and orbifold Landau-Ginzburg models, Colloquium & Seminars, ShanghaiTech University
- 24/11/2018 Hochschild Cohomology of Curved Algebras and Orbifold Landau-Ginzburg B-models, Program for the Mini-Workshop on Hochschild Cohomology and Related Topics III, East China Normal University
- 13/06/2019 Algebraic Approaches to Orbifold Landau-Ginzburg B-models, ICCM2019, Beijing, China
- 11/07/2019 Algebraic Approaches to Orbifold LG B-models, Seminars, Huazhong University of Science and Technology.
- 10/09/2019 Moduli Space of Quiver Representations, Seminars, Zhejiang University.
- 11/25/2019 A Survey for LG/LG Mirror Symmetry, Seminars, IBS-CGP.
Teaching Experiences
- 2017-2018 Teaching assistant and grader, Calculus given by Prof. Li Tiecheng, Tsinghua University
- Fall 2016 Teaching assistant and grader, Topology given by Prof. Li Si, Tsinghua University
- Spring 2017 Teaching assistant and grader, Algebraic Topology given by Prof. Li Si, Tsinghua University
- Spring 2016 Teaching assistant and grader, Classical Mechanics by Prof. Lu Wenxuan, Tsinghua Univesity
- Fall 2015 Teaching assistant and grader, Linear Algebra given by Prof. Li Si, Tsinghua University
- 2014-2015 Teaching assistant and grader, Calculus given by Prof. Zhang Jiming, Tsinghua University
- Summer 2014 Teaching Assistant, Linear Algebra given by Prof. Bong Lian, Tsinghua Summer Mathcamp for High School Students