Publications

Publications and Preprints in Algebraic Geometry

  1. Guodu Chen, Jingjun Han, Qingyuan Xue, Boundedness of complements for log Calabi-Yau threefolds, submitted.

  2. Jingjun Han, Chen Jiang, Birational boundedness of rationally connected log Calabi-Yau pairs with fixed index, arXiv: 2204.04946, 12 pages, submitted.

  3. Jingjun Han, Jihao Liu, Yujie Luo, ACC for minimal log discrepancies of terminal threefolds, arXiv:2202.05287, 87 pages, submitted.

  4. Jingjun Han, Chen Jiang, Yujie Luo, Shokurov's conjecture on conic bundles with canonical singularities, arXiv:2104.15072, Forum of Mathematics, Sigma(2022), Vol.10:e38 1--24, doi:10.1017/fms.2022.32.

  5. Jingjun Han, Yuchen Liu, Lu Qi, ACC for local volumes and boundedness of singularities, arXiv:2011.06509, 49 pages, to appear in Journal of Algebraic Geometry.

  6. Jingjun Han, Jihao Liu, Effective birationality for sub-pairs with real coefficients, arXiv:2007.01849, submitted.

  7. Jingjun Han, Yujie Luo, On boundedness of divisors computing minimal log discrepancies for surfaces, arXiv: 2005.09626, to appear in J. Inst. Math. Jussieu.

  8. Jingjun Han, Yujie Luo, A simple proof of ACC for minimal log discrepancies for surfaces, to appear in Acta Mathematica Sinica, English Series.

  9. Guodu Chen, Jingjun Han, Boundedness of (ε,n)-Complements for Surfaces, arXiv:2002.02246, Advances in Mathematics, 383, 107703, 2021.

  10. Jingjun Han, Wenfei Liu, On a generalized canonical bundle formula for generically finite morphisms, arXiv:1905.12542, to appear in Annales de l'Institut Fourier.

  11. Jingjun Han, Jihao Liu, Joaquín Moraga, Bounded deformations of (ε,δ)-log canonical singularities, arXiv:1903.07202, Journal of Mathematical Sciences (Tokyo), 27(1): 1-28, 2020.

  12. Jingjun Han, Jihao Liu, V.V. Shokurov, ACC for minimal log discrepancies of exceptional singularities, arXiv:1903.04338, submitted, 74 pages.

  13. Jingjun Han, Zhan Li, On accumulation points of pseudo-effective thresholds, arXiv:1812.04260, manuscripta mathematica, 165, 537--558, 2021.

  14. Jingjun Han, Wenfei Liu, On Numerical Nonvanishing for Generalized Log Canonical Pairs, Documenta Mathematica, 25, 93--123 (2020), arXiv:1808.0636.

  15. Jingjun Han, Zhan Li, Weak Zariski decompositions and log terminal models for generalized polarized pairs, arXiv:1806.01234, to appear in Math Zeitschrift.

  16. Weichung Chen, Gabriele Di Cerbo, Jingjun Han, Chen Jiang, and Roberto Svaldi, Birational boundedness of rationally connected Calabi–Yau 3-folds, arXiv:1804.09127, Advances in Mathematics, 378, 107541, 2021.

  17. Christopher D. Hacon, Jingjun Han. On a connectedness principle of Shokurov-Koll\'{a} r type. Science China Mathematics, 2019(3), 62, 411--416. arXiv:1801.01801. https://doi.org/10.1007/s11425-018-9360-5

  18. Jingjun Han, Zhan Li, Lu Qi. ACC for log canonical threshold polytopes, arXiv:1706.07628, American Journal of Mathematics, 143(3), 681--714, 2021.

  19. Jingjun Han, Zhan Li. On Fujita's conjecture for pseudo-effective thresholds, arXiv:1705.08862, Mathematical Research Letters, 27(2), 377--396, 2020

Publications in Symbolic Computation (Computer Algebra)

  1. Jingjun Han. Multivariate Discriminant and Iterated Resultant. Acta Mathematica Sinica, English Series, 32: 659--667, 2016. https://doi.org/10.1007/s10114-016-5586-0

  2. Jingjun Han, Liyun Dai, Hoon Hong, Bican Xia. Open Weak CAD and Its Applications. Journal of Symbolic Computation, 80, 785--816, 2017. https://doi.org/10.1016/j.jsc.2016.07.032

  3. Jingjun Han, Bican Xia, Zhi Jin. Proving inequalities and solving global optimization problems via simplified CAD projection. Journal of Symbolic Computation, 72: 209--230, 2016. https://doi.org/10.1016/j.jsc.2015.02.007

  4. Jingjun Han, Liyun Dai, Bican Xia, Constructing Fewer Open Cells by GCD Computation in CAD Projection. Proceedings of the 39th International Symposium on Symbolic and Algebraic Computation. Pages 240--247, ACM, 2014. https://doi.org/10.1145/2608628.2608676

  5. 韩京俊，基于差分代换的正半定型判定完备方法, 北京大学学报, 2013 (49):545-551. (Jingjun Han, A Complete Method Based on Successive Difference Substitution Method for Deciding Positive Semi-definiteness of Polynomials, Acta Scientiarum Naturalium Universitatis Pekinensis, 2013(49): 545--551. (in Chinese))

  6. Jingjun Han, Simple Quantifier-free Formula of Positive Semidefinite Cyclic Ternary Quartic Forms, Computer Mathematics, 9th Asian Symposium (ASCM2009), Fukuoka, December 2009, 10th Asian Symposium (ASCM2012), Beijing, October 2012, Contributed Papers and Invited Talks, Ruyong Feng, Wen-shin Lee, Yosuke Sato Eds, 261--274, Springer, 2014. https://doi.org/10.1007/978-3-662-43799-5_20


Books and Chapters

  1. Jingjun Han, Chen Jiang. Effective birationality and special BAB, submitted to the volume of Singularities, Linear Systems and Fano Varieties (on the BAB conjecture), Caucher Birkar and Jungkai Chen (eds).

  2. An introduction to the proving of elementary inequalities (in Chinese), Harbin Institute of Technology Press, China, 2011 (2nd, 2014, 343 pp.).