Yu YANG


I am a JSPS postdoctoral 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

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

25.8 Degeneration of period matrices of stable curves, RIMS Preprint 1835, to appear in Kodai Math. J.

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

26.7 On the existence of non-finite coverings of stable curves over complete discrete valuation rings, RIMS Preprint 1843, to appear in Math. J. Okayama Univ.

26.12 Finite morphisms of stable curves.

27.7 On the ordinariness of coverings of stable curves, RIMS Preprint 1845. Submitted.

27.12 On the existence, geometry and p-ranks of vertical fibers of coverings of curves, to appear in RIMS Kokyuroku Bessatsu, Algebraic Number Theory and Related Topics 2015.

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

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

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

28.12 On the admissible fundamental groups of curves over algebraically closed fields of characteristic p>0, RIMS Preprint 1869. Submitted.

29.6 On a weak Hom-version of the Grothendieck conjecture for curves of type (0, n) over algebraically closed fields of characteristic p>0, RIMS Preprint 1879. Submitted.

29.4,6 On the surjections of admissible fundamental groups of curves over algebraically closed fields of characteristic p>0, in preparation.

29.8 On a Hom-version of the Grothendieck conjecture for almost open immersions of curves, RIMS Preprint 1880.

29.9 On the Hopfian and the weakly Hopfian properties of fundamental groups of curves in positive chracteristic, in preparation.

Talks

Arithmetic fundamental groups and geometry of curves over a DVR, Mini-workshop on Number Theory/Arithmetic Geometry, RIMS, Kyoto University, Japan. 2013.1.31.
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.
A criterion of stable reduction, Seminar on Algebraic Geometry and Representation theory, Sichuan University, China. 2013.10.28.
A log geometric analogue of the Weight Monodromy Conjecture for curves, Seminar on Algebraic Geometry and Representation theory, Sichuan University, China. 2013.10.30.
Degeneration of period matrices of stable curves, Number Theory Seminar, Kyoto University, Japan. 2013.11.29.
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, Kinosaki shinjin seminar 11th, Kinosaki, Japan. 2014.2.17.-2014.2.21.
Geometry of coverings of curves, Doctorial Forum of Mathematics Kyoto-Fudan Universities, Shanghai, China. 2014.11.2-2014.11.8.
Fundamental Groups and Geometry of Coverings of Curves, 2015 East Asian Core Doctorial Forum on Mathematics, Taipei, Taiwan. 1.19-1.22, 2015.
Coverings of curves and the specialization of fundamental groups, Algebra Seminar, Hiroshima University, Japan. 2015.3.6.
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.
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, 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.
Fundamental groups, anabelian geometry, and coverings of curves, Algebraic Seminar, Sichuan university, Chengdu, China. 2016.5.23-2016.6.8.
Local p-ranks of coverings of curves, Number Theory Seminar, Kyoto University, Japan. 2016.6.24.
Local p-ranks of coverings of curves, 15th Sendai-Hiroshima Workshop on Number Theory, Sendai, Japan. 2016.7.12-2016.7.15.
Local p-rank and semi-stable reduction of curves, 10th Fukuoka Symposium on Number Theory, Fukuoka, Japan. 2016.8.8-2016.8.10.
Grothendieck anabelian conjecture for curves in positive charactersitic, Seminar on Algebraic Geometry and Representation theory, Sichuan University, China. 2017.4.27.
Reconstructing pointed stable curves in positive characteristic from their geometric log fundamental groups, Number Theory Seminar, Kyoto University, Japan. 2017.5.26.
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.
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.
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