I am an Associate Professor in the Department of Mathematics Education at Inha University, Incheon, South Korea. Before joining Inha, I was a Research Fellow at KIAS (Korea Institute for Advanced Study) and a Postdoctoral Fellow at GAIA (Geometry and Its Applications) of POSTECH. I earned my Ph.D. in Mathematics from the University of Michigan, Ann Arbor, in 2012.
My research focuses on pluripotential theory and its applications to intersection theory and holomorphic dynamical systems. In particular, I am interested in the higher bidegree phenomena.
I can be reached at t.ahn@inha.ac.kr.
Preprints
- Intersection of positive closed currents, arXiv:2503.06964
- Inverse images of positive closed currents under holomorphic endomorphisms of compact Kähler manifolds, arXiv:2405.00607
Publications
- A remark on regular transforms of positive closed (1,1)-currents, Korean J. Math. 32 (2024), no. 4, 695–702.
- (joint work with D. -V. Vu) Equidistribution for non-pluripolar currents with respect to holomorphic correspondences of compact Kähler manifolds, Anal. Math. Phys. 14 (2024), no. 6, Paper No. 115, 18 pp.
- An equidistribution theorem for certain birational maps of P^k, Int. J. Math. 32 (2021), no. 3, Paper No. 2150017, 19 pp.
- (joint work with N. C. Nguyen) Equidistribution of non-pluripolar products associated with quasi-plurisubharmonic functions of finite energy, Proc. Amer. Math. Soc. 148 (2020), no. 2, 719–729.
- Local regularity of super-potentials and equidistribution of positive closed currents of P^k, Math. Ann. 371 (2018), no. 3-4, 1163–1190.
- Generalized Henon mappings and foliation by injective Brody curves, J. Geom. Anal. 28 (2018), no. 1, 317–334.
- (joint work with H. Gaussier and K.-T. Kim) Positivity and completeness of invariant metrics, J. Geom. Anal. 26 (2016), no. 2, 317–334.
- Equidistribution in higher codimension for holomorphic endomorphisms of P^k, Trans. Amer. Math. Soc. 368 (2016), no. 5, 3359–3388.
- Brody curves in complicated sets, C. R. Math. Acad. Sci. Paris 353 (2015), no. 8, 701–704.
Other publications
- Equidistribution of inverse images of positive closed currents, Springer Proc. Math. Stat., 481, Springer, Singapore, 2025, 1–8.
- (joint work with H. Gaussier and K.-T. Kim) Unbounded pseudoconvex domains in Cn and their invariant metrics, Complex analysis and geometry, 49–55, Springer Proc. Math. Stat., 144, Springer, Tokyo, 2015.