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The stable reduction theorem was proved by Grothendieck for Abelian varieties and subsequently by Deligne and Mumford for projective curves.
A difference field is a field with a distinguished automorphism. Automorphisms of a finite field are powers of the Frobenius map. In this talk, I will discuss how to estimate the number of rational po...
In this talk, I will discuss arithmetic purity of strong approximation : motivations and related results. Finally, for complete toric varieties, I will briefly explain my work on this topic.
Grain shape is a key trait in rice breeding. Although many QTLs and genes of grain shape have been identified, how different combinations of alleles of these genes affect grain shape is largely unknow...
Shimura varieties are a class of algebraic geometric spaces that play a very important role in arithmetic geometry, especially in the Langlands program. In recent years, methods from the geometric rep...
We expect that the study of pluricanonical systems of varieties of general type with many global forms can be reduced to the study of pluricanonical systems of varieties of lower dimensions. We show t...
The mod p points of a Shimura variety have a conjectural description called the Langlands-Rapoport conjecture. In accordance with the conjecture, Rapoport defined (generalized) affine Deligne-Lusztig ...
In this talk I will introduce special and generalized cycles on Shimura varieties and discuss how to use them to construct geometric and arithmetic theta series. Then I will briefly discuss the connec...
Local rice varieties in Vietnam could be used to help breed improved crops with higher resilience to climate change, according to a new study. Researchers are aiming to identify varieties that can sur...
Camellia sinensis var. sinensis (CSS) and C. sinensis var. assamica (CSA) are the two most economically important tea varieties. They have different characteristics and geographical distribution. Thei...
Cotton producers in the U.S. and around the world are looking for new varieties that can better withstand droughts, pests, and pathogens while yielding high-quality fibers for the textile industry.To ...
Large and small granules were separated from C-type starches of four Chinese chestnut varieties growing in the same environment. They had similar amylose contents from 17.7% to 20.2% and showed C-type...
We study Mumford-Tate groups of families of Calabi-Yau manifolds in this notes, for example, we have interest in the relations between the geometry of families of Calabi-Yau manifolds and their Mumfor...
The aim of this study was to determine the levels of ascorbic acid and total nitrates in the fresh aerial parts of different varieties of basil (Ocimum basilicum L.) in different growing seasons. The...
The research on Fano variety is always a central topic in mathematics. In the recent years, there has been vast progress in the the problems on boundedness,stability and moduli space.The primary goal ...

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