Hsueh-Yung LIN 林學庸

National Taiwan University
Department of Mathematics
No. 1, Sec. 4, Roosevelt Rd.,
Taipei 10617, Taiwan

Office: Astronomy Mathematics Building, Room 560

E-mail:
hsuehyunglin (arobase) ntu.edu.tw

[News] Conference: Algebraic Geometry in Taipei (Dec. 2 to Dec. 6, 2024, Taipei)
[News] Mini-Workshop: Young Perspectives in Algebraic Geometry (Nov. 25 to Nov. 26, 2024, Taipei)

Research articles:

Cone conjectures:

(With C. Gachet, I. Stenger, L. Wang) The effective cone conjecture for Calabi-Yau pairs, arXiv:2406.07307.
(With C. Gachet, L. Wang) Nef cones of fiber products and an application to the cone conjecture, Forum of Mathematics, Sigma (2024), vol 12, e28.

Motivic invariants of birational maps:

(With E. Shinder) Motivic invariants of birational maps, Annals of Math. 199 (2024), No. 1, 445-478.
(With E. Shinder, S. Zimmermann) Factorization centers in dimension two and the Grothendieck ring of varieties, Alg. Geom. 10 (6) (2023), 666–693.

Dynamics on algebraic varieties or compact Kähler manifolds:

(With T.-C. Dinh, K. Oguiso, D.-Q, Zhang) On the virtual invariants of zero entropy groups of compact Kähler manifolds, arXiv:2310.04980.
(With T.-C. Dinh, C. Gachet, K. Oguiso, L. Wang, X. Yu) Smooth projective surfaces with infinitely many real forms, To appear in "Annali della Scuola Normale Superiore di Pisa".
(With J. A. Chen, K. Oguiso) On the Kawaguchi--Silverman Conjecture for birational automorphisms of irregular varieties, arXiv:2204.09845.
(With K. Oguiso, D.-Q, Zhang) Polynomial log-volume growth in slow dynamics and the GK-dimensions of twisted homogeneous coordinate rings, to appear in "Journal of Noncommutative Geometry".
(With T.-C. Dinh, K. Oguiso, D.-Q, Zhang) Zero entropy automorphisms of compact Kähler manifolds and dynamical filtrations, Geom. Funct. Anal. 32 (2022), no. 3, 568–594.

Algebraicity of compact Kähler manifolds:

On the dual positive cones and the algebraicity of a compact Kähler manifold, Épijournal de Géométrie Algébrique, Volume spécial en l'honneur de Claire Voisin, epiga:10771.
Algebraic approximations of compact Kähler threefolds, arXiv:1710.01083.
Algebraic approximations of compact Kähler manifolds of algebraic codimension 1, Duke Mathematical Journal, 169 (2020), no. 14, 2767–2826.
Algebraic approximations of fibrations in abelian varieties over a curve, J. Algebraic Geom. 31 (2022), no. 1, 75–103.
(With B. Claudon, A. Höring) The fundamental group of Kähler threefolds, Geometry & Topology 23-7 (2019), 3233--3271.

Algebraic cycles in hyper-Kähler varieties:

Lagrangian constant cycle subvarieties in Lagrangian fibrations, International Mathematics Research Notices, Volume 2020, No.1, 14-24.
On the Chow groups of zero-cycles of a generalized Kummer variety, Advances in Mathematics (2016), Volume 298, 448-472.
Corrigendum, Advances in Mathematics (2018), Volume 331, 1016-1021.
Rational maps from punctual Hilbert schemes of K3 surfaces, Manuscripta Mathematica (2015), Volume 1, 531-538.
Singularities of elliptic curves in K3 surfaces and the Beauville-Voisin zero-cycle, Bollettino dell'Unione Matematica Italiana (2014), Volume 7, Issue 3, 227-242.

Miscellaneous:

(With S. Schreieder) Appendix to Zeros of holomorphic one-forms and topology of Kähler manifolds, IMRN (2021).
Compact Kähler threefolds with non-nef canonical bundle and symplectic geometry, Mathematical Research Letters (2014), Volume 6, 1341-1352.
Odd Catalan numbers modulo 2^k, Integers 12 (2012), no. 2, 161–165.

Seminars:

NCTS Seminar in Algebraic Geometry

Past:

Teaching:

Modern Algebra I (Winter 2024, NTU).
Modern Algebra Ⅱ (Spring 2024, NTU).
Teichmüller theory and moduli space of Riemann surfaces (Winter 2023, NTU).
Complex analysis II (Summer 2023, NTU).
Complex analysis I (Winter 2022, NTU).
Derived categories of coherent sheaves (Summer 2022, NTU).
Introduction to complex geometry (Winter 2021, NTU).
Dynamics in algebraic geometry (Summer 2019, Bonn).

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Hsueh-Yung LIN 林學庸

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