Ya Deng

Publications

My papers can also be found on arXiv , Google Scholar and ORCID

• Existence and unicity of pluriharmonic maps to Euclidean buildings and applications
  Ya Deng, Chikako Mese. To appear in New Aspects of Teichmüller Theory, Adv. Stud. Pure Math., Math. Soc. Japan, Tokyo, 2026.
  arXiv:2410.07871
• Linear Shafarevich Conjecture in Positive Characteristic, Hyperbolicity, and Applications
  Ya Deng, Katsutoshi Yamanoi. J. Reine Angew. Math. (Crelles Journal), 2026(831), 1-43.
  journalarXiv:2403.16199
• Vanishing theorem for tame harmonic bundles via L²-cohomology
  Ya Deng, Feng Hao. Compos. Math. 160(12) (Dec 2024), 2828–2855.
  journalarXiv:1912.02586
• On the nilpotent orbit theorem of complex variation of Hodge structures
  Ya Deng. Forum of Mathematics, Sigma 11 (2023), e106.
  journalarXiv:2203.04266
• Big Picard theorems and algebraic hyperbolicity for varieties admitting a variation of Hodge structures
  Ya Deng. L'Épijournal de Géométrie Algébrique, Vol. 7 (2023).
  Oberwolfach report
  journalarXiv:2001.04426
• A characterization of complex quasi-projective manifolds uniformized by unit balls
  Ya Deng (with an appendix jointly with Benoît Cadorel). Math. Ann. 384 (2022), 1833–1881.
  journalarXiv:2006.16178
• On the hyperbolicity of base spaces for maximal variational families of smooth projective varieties
  Ya Deng (with an appendix by Dan Abramovich). J. Eur. Math. Soc. 24(7) (2022), 2315–2359.
  journalarXiv:1806.01666
• Picard theorems for moduli spaces of polarized varieties
  Ya Deng, Steven Lu, Ruiran Sun, Kang Zuo. Math. Ann. 390 (2024), 1125–1154.
  journalarXiv:1911.02973
• Kobayashi hyperbolicity of the complements of general hypersurfaces of high degrees
  Damian Brotbek, Ya Deng. Geom. Funct. Anal. (GAFA) 29(3) (2019), 690–750.
  journalarXiv:1804.01719
• On the Diverio–Trapani Conjecture
  Ya Deng. Ann. Sci. Éc. Norm. Supér. 53 (2020), 787–814.
  journalarXiv:1703.07560
• On the positivity of the logarithmic cotangent bundle
  Damian Brotbek, Ya Deng. Ann. Inst. Fourier 68(7) (2018), 3001–3051 (en l'honneur de J.-P. Demailly).
  journalarXiv:1712.09887
• Applications of the Ohsawa–Takegoshi Extension Theorem to Direct Image Problems
  Ya Deng. Int. Math. Res. Not. IMRN (rnaa018).
  journal
• Transcendental Morse inequality and generalized Okounkov bodies
  Ya Deng. Algebraic Geometry 4(2) (2017), 177–202.
  journal
• Simpson correspondence for semistable Higgs bundles over Kähler manifolds
  Ya Deng. Pure and Applied Mathematics Quarterly 17(5) (2021), 1899–1911.
  journal
• Kobayashi measure hyperbolicity for singular directed varieties of general type
  Ya Deng. C. R. Math. 354(9) (2016), 920–924.
  journal