个人简介
Position
I am a Professor in Beijing International Center of Mathematics Research.
2013
Feb. -Jul. I'm organizing a reading seminar on the first 5 Chapters on Lazarsfeld's book 'Positivity in algebraic geometry I'. Contact me if you are interested to attend.
Jul. 1-12 Jason Starr is giving a series of lectures on 'rationally connected varieties'.
Jul. 14 Tong Zhang (University of Alberta): Geography of varieties of large Albanese dimension.
Aug. 21 Zhiyu Tian (California Institute of Technology): Weak Approximation for Cubic hypersurfaces.
Sep. - Dec. There is a joint seminar between PKU, THU and Chinese Academia of Science which aims to understand Mirror symmetry for log Calabi-Yau. See the program.
Oct. 8-17 Claire Voisin (CNRS): Algebraic cycles and Hodge structures.
Nov. 27-Dec. 2 Benjamin Bakker (NYU): Holomorphic Symplectic Manifolds.
2014
May 27-29 Masayuki Kawakita (RIMS): Minimal log discrepancies and generic limits.
May 28 Yi Zhu (University of Utah): A-1 connectedness varieties.
Jul. 21-23 Lie Fu (ENS de Paris): Intersection theory of projective hyperkahler varieties.
Jul. 21-25 Valery Alexeev (University of Georgia): Compact moduli spaces of weighted hyperplane arrangements.
2015
Mar.-Jun. Evgeny Mayanskiy and I are organizing a reading seminar on deformation theory, see the webpage.
Mar.-Jun. Baohua Fu, Eduard Looijenga and I are organizing a reading seminar on geometry of cubic threefolds and fourfolds.
Apr.1-15 Olivier Benoist (CNRS) : Integral decomposition of the diagonal and application.
Apr. 29 Yujiro Kawamata (University of Tokyo): Derived McKay Correspondence for finite abelian group quotients.
May 10 Beijing Algebraic Geometry Colloquium: First meeting. Speaker: Lawrence Ein and Hélène Esnault.
May 14 Chen Jiang (University of Tokyo): Boundedness of anti-canonical volumes of singular log Fano threefolds.
May 14 Tong Zhang (University of Alberta): Relative Clifford’s Theorem for fibered varieties by Curves.
Jun. 8-14 Morgan Brown (University of Michigan): A mini-course on Berkovich spaces.
Jul. 10-13 Zhiyuan Li (Stanford University): Special cycles on Shimura varieties.
Jul. 11-14 Zhiyu Tian (CNRS and Université Joseph-Fourier-Grenoble): Varieties with large fundamental group.
Nov. 21 Beijing Algebraic Geometry Colloquium: Third meeting.
2016
Apr. 9 Beijing Algebraic Geometry Colloquium: Fifth meeting.
Jul. 4-15 Reading group on Stable Rationality and Chow Decomposition.
2017
Mar. 13-18 Tianyuan Advanced Seminar on the Moduli Spaces in Algebraic Geometry.
May 5-7 BICMR-Tokyo Algebraic Workshop.
Aug. 28-Sep. 1 Boundedness, Stability and Fano varieties.
Teaching
2013 Fall: Algebraic Geometry.
2015 Spring: Algebraic Geometry II.
2015 Fall: Algebraic Geometry II.
2016 Spring: Topics on Core Mathematical Subjects I.
2017 Spring: Introduction to Algebraic Geometry.
2017 Spring: Topics on Core Mathematical Subjects I.
2017 Fall: Abstract Algebra (抽象代数).
研究领域
1. Geometric and Arithmetic theory of Rationally Connected Varieties.
2. Minimal Model Program and Classification of varieties.
3. Stability.
4. Topology and Geometry of Singularities.
近期论文
查看导师最新文章
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1. Congruence for rational points over finite fields and coniveau over local fields (with H. Esnault), Trans. Amer. Math. Soc. 361 (2009), no. 5, 2679-2688.
2. Degenerations of Rationally Connected Varieties (with A. Hogadi). Trans. Amer. Math. Soc. 361 (2009), No.7, 3931-3949.
3. Notes on π1 of Smooth Loci of Log Del Pezzo Surfaces. Michigan Math. J. 58 (2009), no. 2. 489-515.
4. On Effective Log Iitaka Fibration for 3-folds and 4-folds (with G. Todorov). Algebra Number Theory 3 (2009), no. 6, 697-710.
5. Log-canonical models of singular pairs and its applications (with Yuji Odaka). Math. Res. Lett. 19 (2012), no.2, 325-334.
6. Strong rational connectedness of surfaces. J. Reine Angew. Math. 665 (2012), 189-205.
7. Weak approximation for low degree del Pezzo surfaces. Journal of Algebraic Geometry 21 (2012), 753-767.
8. On the birational automorphisms of varieties of general type (with Christopher Hacon and James McKernan). Annals of Math. 177 (2013), Issue 3, 1077-1111.
9. Existence of log canonical closures (with Christopher Hacon). Invent. Math. 192 (2013), Issue 1, 161-195.
10. Finiteness of algebraic fundamental groups. Compos. Math. 150 (2014), Issue 03, 409-414.
11. Special test configurations and K-stability of Fano varieties (with Chi Li). Annals of Math. 180 (2014), Issue 1, 197-232.
12. ACC for log canonical thresholds (with Christopher Hacon and James McKernan). Annals of Math. 180 (2014), Issue 2, 523-571.
13. Nonexistence of aymptotic GIT compactification (with Xiaowei Wang). Duke Math. J. 163 (2014), Issue 12, 2217-2241.
14. On the three dimensional minimal model program in positive characteristic (with Christopher Hacon). J. Amer. Math. Soc. 28 (2015) no. 3, 711-744.
15. On base point free theorem of threefolds in positive characteristic. J. Inst. Math. Jussieu 14 (2015) Issue 3, 577-588.
16. On base point freeness in positive characteristic (with Paolo Cascini and Hiromu Tanaka). Ann. Sci. École Norm. Sup. 48 (2015) no. 5, 1239-1272.
17. Boundedness of log Calabi-Yau pairs of Fano type (with Christopher Hacon). Math. Res. Lett. 22 (2015), no.6, 1699-1716.
18. Poles of maximal order of motivic zeta function (with Johannes Nicaise). Duke Math. J. 165 (2016), Issue 2, 217-243.
19. Motivic zeta function via dlt modification. Michigan Math. J. 65 (2016), Issue 1, 89-103.
20. The dual complex of Calabi-Yau pairs (with János Kollár). Invent. Math. 205 (2016), Issue 3, 527-557.
21. On Finiteness of B-representations and Semi-log Canonical Abundance (with Christopher Hacon). Minimal models and extremal Rays (Kyoto, 2011), 361-378, Adv. Stud. in Pure Math 70, Math. Soc. Japan, Tokyo, 2016.
22. The essential skeleton of a degeneration of algebraic varieties (with Johannes Nicaise). Amer. J. Math. 138 (2016), No. 6, 1645-1667.
23. Ampleness of the CM line bundle on the moduli space of canonically polarized varieties (with Zsolt Patakfalvi). Algebraic Geometry 4 (2017) Issue 1, 29-39.
24. Finiteness of fundamental groups (with Zhiyu Tian). Compos. Math. 153 (2017), Issue 02, 257-273.
25. The dual complex of singularities (with Tommaso de Fernex, János Kollár). Higher Dimensional Algebraic Geometry in honour of Professor Yujiro Kawamata’s sixtieth birthday, 103-129, Adv. Stud. in Pure Math 74, Math. Soc. Japan, Tokyo, 2017.
26. Semi-stable extensions over 1-dimensional bases (with János Kollár and Johannes Nicaise). Acta Math. Sinica 34 (2018), no.1, 103-113.
27. Boundedness of moduli of varieties of general type (with Christopher Hacon and James McKernan). J. Euro. Math. Soc. 20 (2018), Issue 4, 865-901.
28. Quasi-projectivity of the moduli space of smooth Kähler-Einstein Fano manifolds (with Chi Li and Xiaowei Wang). Ann. Sci. École Norm. Sup. 51 (2018) no. 3, 739-772.
29. Stability of Valuations: Higher Rational Rank (with Chi Li). Peking Math. J. 1 (2018) no. 1, 1-79.
30. The non-archimedean SYZ fibration (with Johannes Nicaise, Tony Yue Yu). Compos. Math. 155 (2019), Issue 05, 953-972.
31. Nonvanishing for threefolds in characteristic p > 5 (with Lei Zhang). Duke Math. J. 168 (2019), Issue 07, 1269-1301.
32. On the proper moduli spaces of smoothable Kähler-Einstein Fano varieties (with Chi Li and Xiaowei Wang). Duke Math. J. 168 (2019), Issue 08, 1387-1459.
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