Yu YANG


I am a research fellow at RIMS, Kyoto University. I study arithmetic geometry with the main focus on curves from the point of view of fundamental groups. I received my D.Sc. degree from RIMS, Kyoto University in March 2017, under supervision of Professor Shinichi Mochizuki.

E-mail: yuyang(at)kurims.kyoto-u.ac.jp


Papers and Preprints

30.6,29.4,6,10 The combinatorial mono-anabelian geometry of curves over algebraically closed fields of characteristic p>0 III: reconstructions of semi-graphs of anabelioids via open continuous homomorphisms, in preparation.

30.6,28.12 The combinatorial mono-anabelian geometry of curves over algebraically closed fields of characteristic p>0 II: combinatorial Grothendieck conjecture, in preparation.

30.5,6 The combinatorial mono-anabelian geometry of curves over algebraically closed fields of characteristic p>0 I: p-averages of admissible fundamental groups, in preparation.

30.2,3 Finite quotients of fundamental groups and moduli spaces of curves in positive characteristic, RIMS Preprint 1884. Submitted.

30.1 The anabelian geometry of curves over algebraically closed fields of postive characteristic, preprint.

29.8,9 Group-theoretic characterizations of almost open immersions of curves, RIMS Preprint 1880. Submitted.

29.6,12 Tame anabelian geometry and moduli spaces of curves over algebraically closed fields of characteristic p>0, RIMS Preprint 1879. Submitted.

28.12 On the admissible fundamental groups of curves over algebraically closed fields of characteristic p>0, to appear in Publ. Res. Inst. Math. Sci.

28.6,9 On the boundedness and graph-theoreticity of p-ranks of coverings of curves, RIMS Preprint 1864. Submitted.

28.4 Formulas for local and global p-ranks of coverings of curves, RIMS Preprint 1863. Submitted.

28.2 Local p-rank and semi-stable reduction of curves.

27.12 On the existence, geometry and p-ranks of vertical fibers of coverings of curves, to appear in RIMS Kokyuroku Bessatsu.

27.7 On the ordinariness of coverings of stable curves, C. R. Math. Acad. Sci. Paris, Ser. I 356 (2018), 17-26. Online version.

26.12 Finite morphisms of stable curves.

26.7 On the existence of non-finite coverings of stable curves over complete discrete valuation rings, to appear in Math. J. Okayama Univ.

26.6 Abelian coverings of curves which are not new ordinary, RIMS Preprint 1844.

25.8 Degeneration of period matrices of stable curves, Kodai Math. J. 41 (2018), 125-153.

24.9 Arithmetic fundamental groups and geometry of curves over a discrete valuation ring, Master thesis, Kyoto University, 2013.

Talks

The anabelian geometry of curves over algebraically closed fields of positive characteristic (after Tamagawa), Algebraic Number Theory and Related Topics 2017, RIMS, Kyoto university, Kyoto, Japan. 2017.12.4-2017.12.8.
Galois theory of curves: arithmetic and geometry, Colloquium, Tokyo University of Science, Tokyo, Japan. 2017.11.28.
p-average theorem and anabelian geometry of curves over algebraically closed fields of characteristic p>0, 16th Hiroshima-Sendai Workshop on Number Theory, Hiroshima, Japan. 2017. 7.11.-7.14.
Reconstructing pointed stable curves in positive characteristic from their geometric log fundamental groups, Number Theory Seminar, Kyoto University, Japan. 2017.5.26.
Grothendieck anabelian conjecture for curves in positive charactersitic, Seminar on Algebraic Geometry and Representation theory, Sichuan University, China. 2017.4.27.
Local p-rank and semi-stable reduction of curves, 10th Fukuoka Symposium on Number Theory, Fukuoka, Japan. 2016.8.8-2016.8.10.
Local p-ranks of coverings of curves, 15th Sendai-Hiroshima Workshop on Number Theory, Sendai, Japan. 2016.7.12-2016.7.15.
Local p-ranks of coverings of curves, Number Theory Seminar, Kyoto University, Japan. 2016.6.24.
Fundamental groups, anabelian geometry, and coverings of curves, Algebraic Seminar, Sichuan university, Chengdu, China. 2016.5.23-2016.6.8.
On the existence, geometry and p-ranks of vertical fibers of coverings of curves, Algebraic Number Theory and Related Topics 2015, RIMS, Kyoto university, Kyoto, Japan. 2015.11.30-2015.12.4.
On the existence, geometry and p-ranks of vertical fibers of coverings of curves, Algebraic Seminar, Sichuan university, Chengdu, China. 2015. 8. 10.
On the existence of vertical fibers of coverings of curves in positive characteristic, 14th Hiroshima-Sendai Workshop on Number Theory, Hiroshima, Japan. 2015. 7.14.-7.17.
Coverings of curves and the specialization of fundamental groups, Algebra Seminar, Hiroshima University, Japan. 2015.3.6.
Fundamental Groups and Geometry of Coverings of Curves, 2015 East Asian Core Doctorial Forum on Mathematics, Taipei, Taiwan. 1.19-1.22, 2015.
Geometry of coverings of curves, Doctorial Forum of Mathematics Kyoto-Fudan Universities, Shanghai, China. 2014.11.2-2014.11.8.
Degeneration of period matrices of stable curves, Kinosaki shinjin seminar 11th, Kinosaki, Japan. 2014.2.17.-2014.2.21.
Degeneration of period matrices of stable curves, Younger Generations in Algebraic and Complex Geometry, Nagasaki, Japan. 2014.1.6.-2014.1.10.
Degeneration of period matrices of stable curves, Number Theory Seminar, Kyoto University, Japan. 2013.11.29.
A log geometric analogue of the Weight Monodromy Conjecture for curves, Seminar on Algebraic Geometry and Representation theory, Sichuan University, China. 2013.10.30.
A criterion of stable reduction, Seminar on Algebraic Geometry and Representation theory, Sichuan University, China. 2013.10.28.
Arithmetic fundamental groups and geometry of curves over a DVR, Seminar on Number Theory and Algebraic Geometry, Okayama Anabelful Days, Okayama University, Japan. 2013.5.22-2013.5.23.
Arithmetic fundamental groups and geometry of curves over a DVR, Mini-workshop on Number Theory/Arithmetic Geometry, RIMS, Kyoto University, Japan. 2013.1.31.
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