Research Areas

Gauge theory and its applications in 3- and 4-dimensional topology

Educational Background

2012--2016 Doctor of Philosophy, University of California, Los Angles

2009--2012 Master of Science, Peking University

2005--2005 Bachelor of Science, Peking University

Work Experience

Since 2021 Associate Professor, Tsinghua University

2019-2021 Assistant Professor, University of California

2016-2019 C.L.E. Moore instructor, Massachusetts Institute of Technology

Publications

[1] Jianfeng Lin, Daniel Ruberman and Nikolai Saveliev, On the Frøyshov invariant and monopole Lefschetz number. To appear: Journal of Differential Geometry

[2] Jianfeng Lin, Daniel Ruberman and Nikolai Saveliev, On the monopole Lefschetz number of finite order diffeomorphisms. To Appear: Geometry & Topology

[3] Tirasan Khandahawit, Jianfeng Lin and Hirofumi Sasahira, The unfolded Seiberg-Witten-Floer spectra II: Relative invariants and the gluing theorem. To Appear: Journal of Differential Geometry.

[4] Jianfeng Lin, Daniel Ruberman and Nikolai Saveliev, A splitting theorem for the Seiberg-Witten invariant of a homology S1×S3 . Geometry & Topology 22, no. 5 (2018): 2865-2942.

[5] Jianfeng Lin. The Seiberg-Witten equations on end-periodic manifolds and an obstruction to positive scalar curvature metrics. Journal of Topology Volume12, Issue2 (2019): 328-371.

[6] Tirasan Khandhawit, Jianfeng Lin and Hirofumi Sasahira, The unfolded Seiberg-Witten-Floer spectra I: definition, invariance and examples. Geometry & Topology 22, no. 4 (2018): 2027-2114.

[7] Jianfeng Lin, SU(2)-Cyclic Surgeries on Knots. International Mathematics Research Notices, No. 19 (2016), 6018 - 6033. (Publisehd version).

[8] Jianfeng Lin, The A-polynomial and Holonomy Perturbations. Mathematical Research Letters, Vol. 22, No. 5 (2015), 1401-1416.

[9] Jianfeng Lin, Pin(2)-equivariant KO-theory and intersection forms of spin four-manifolds. Algebraic & Geometric Topology 15 (2015) 863-902.

[10] Jianfeng Lin and Shicheng Wang. Fixed subgroups of automorphisms of hyperbolic3-manifold groups. Topology and its Applications 173 (2014), 175-187.