xintong040

XIN TONG PERSONAL SITE
AUTHOR: XIN TONG
UPDATED LAST ON: Jan 20 2025

Cartan_Serre_Schwartz_Type_Endlichkeitssatz_of_Xin_Tong;
Infinite_Categoricalization_and_Geometricalization_on_Local_Langlands_Fargues_Scholze;
Infinite_Categoricalization_on_p_adic_Langlands_Emerton_Gee_Hellmann;
Infinite_Categoricalization_and_Geometricalization_on_Hodge_Iwasawa_Theory_Xin_Tong;
Infinite_Categoricalization_of_Generalized_Langlands_Correspondence_Xin_Tong;
Infinite_Categoricalization_of_Generalized_Motives_Xin_Tong.

PERSONAL INFORMATION

Websites: https://arxiv.org/a/tong_x_1.html;
Homepage: https://xintong040.github.io;
GitHub Pages:
https://github.com/xintong040;
https://github.com/xintong040/xintong040.github.io;
https://xintong040.github.io.

BOOKS

1. Xin Tong. "Geometric and Representation Theoretic Aspects of p-adic Motives."
Author: Xin Tong.
ArXiv preprint, available on arXiv, arXiv:2201.04785.
Subjects: Modern number theory, modern arithmetic geometry, modern algebraic geometry, modern algebraic topology, modern nonarchimedean functional analysis, derived-infinite categorical homotopy theory, derived-infinite category theory, derived-infinite categorical toposes theory, derived-infinite categorical homotopical algebraic geometry and derived-infinite categorical homotopical analytic geometry.
pdf

PREPUBLICATIONS AND PUBLICATIONS

1. Xin Tong. "Hodge-Iwasawa Theory I."
Author: Xin Tong.
ArXiv preprint, available on arXiv, arXiv:2006.03692.
Subjects: Number Theory, Algebraic Geometry, Arithmetic Geometry, Analytic Geometry.
arXiv
2. Xin Tong. "Hodge-Iwasawa Theory II."
Author: Xin Tong.
ArXiv preprint, available on arXiv, arXiv:2010.06093.
Subjects: Number Theory, Algebraic Geometry, Arithmetic Geometry, Analytic Geometry.
arXiv
3. Xin Tong. "Analytic Geometry and Hodge-Frobenius Structure."
Author: Xin Tong.
ArXiv preprint, available on arXiv, arXiv:2011.08358.
Subjects: Number Theory, Algebraic Geometry, Arithmetic Geometry, Analytic Geometry.
arXiv, pdf
4. Xin Tong. "Analytic Geometry and Hodge-Frobenius Structure Continued."
Author: Xin Tong.
ArXiv preprint, available on arXiv, arXiv:2012.07336.
Subjects: Number Theory, Algebraic Geometry, Arithmetic Geometry, Analytic Geometry.
arXiv, pdf
5. Xin Tong. "Category and Cohomology of Hodge-Frobenius Modules."
Author: Xin Tong.
ArXiv preprint, available on arXiv, arXiv:2012.07308.
Subjects: Number Theory, Algebraic Geometry, Arithmetic Geometry, Analytic Geometry.
arXiv, pdf
6. Xin Tong. "Period Rings with Big Coefficients and Applications I."
Author: Xin Tong.
ArXiv preprint, available on arXiv, arXiv:2012.07338.
Subjects: Number Theory, Algebraic Geometry, Arithmetic Geometry, Analytic Geometry.
arXiv, pdf
7. Xin Tong. "Period Rings with Big Coefficients and Applications II."
Author: Xin Tong.
ArXiv preprint, available on arXiv, arXiv:2101.03748.
Subjects: Number Theory, Algebraic Geometry, Arithmetic Geometry, Analytic Geometry.
arXiv, pdf
8. Xin Tong. "Period Rings with Big Coefficients and Applications III."
Author: Xin Tong.
ArXiv preprint, available on arXiv, arXiv:2102.10692.
Subjects: Number Theory, Algebraic Geometry, Arithmetic Geometry, Analytic Geometry.
arXiv, pdf
9. Xin Tong. "Topics on Geometric and Representation Theoretic Aspects of Period Rings I."
Author: Xin Tong.
ArXiv preprint, available on arXiv, arXiv:2102.10693.
Subjects: Number Theory, Algebraic Geometry, Arithmetic Geometry, Analytic Geometry.
arXiv, pdf
10. Xin Tong. "Topologization and Functional Analytification I: Intrinsic Morphisms of Commutative Algebras."
Author: Xin Tong.
ArXiv preprint, available on arXiv, arXiv:2102.10766.
Subjects: Number Theory, Derived-Infinite Algebraic Geometry, Derived-Infinite Arithmetic Geometry, Derived-Infinite Analytic Geometry, Algebraic Topology.
arXiv, pdf
11. Xin Tong. "Topologization and Functional Analytification II: infinite-Categorical Motivic Constructions for Homotopical Contexts."
Author: Xin Tong.
ArXiv preprint, available on arXiv, arXiv:2112.12679.
Subjects: Number Theory, Derived-Infinite Algebraic Geometry, Derived-Infinite Arithmetic Geometry, Derived-Infinite Analytic Geometry, Algebraic Topology.
arXiv, pdf
12. Xin Tong. "Geometric and Representation Theoretic Aspects of p-adic Motives."
Author: Xin Tong.
ArXiv preprint, available on arXiv, arXiv:2201.04785.
Subjects: Modern number theory, modern arithmetic geometry, modern algebraic geometry, modern algebraic topology, modern nonarchimedean functional analysis, derived-infinite categorical homotopy theory, derived-infinite category theory, derived-infinite categorical toposes theory, derived-infinite categorical homotopical algebraic geometry and derived-infinite categorical homotopical analytic geometry.
arXiv
13. Xin Tong. "Infinite-Categorical Functional Analysis and p-adic Motives."
Author: Xin Tong.
ArXiv preprint, available on arXiv, arXiv:2112.10616.
Subjects: Number Theory, Derived-Infinite Algebraic Geometry, Derived-Infinite Arithmetic Geometry, Derived-Infinite Analytic Geometry, Algebraic Topology.
arXiv, pdf
14. Xin Tong. "Infinite-Categorical Approaches to Hodge-Iwasawa Theory I: Introduction and Extensions."
Author: Xin Tong.
ArXiv preprint, available on arXiv, arXiv:2201.01979.
Subjects: Number Theory, Derived-Infinite Algebraic Geometry, Derived-Infinite Arithmetic Geometry, Derived-Infinite Analytic Geometry, Algebraic Topology.
arXiv, pdf
15. Xin Tong. "Infinite-Categorical Perverse p-adic Differential Equations over Stacks."
Author: Xin Tong.
ArXiv preprint, available on arXiv, arXiv:2201.05003.
Subjects: Number Theory, Derived-Infinite Algebraic Geometry, Derived-Infinite Arithmetic Geometry, Derived-Infinite Analytic Geometry, Algebraic Topology.
arXiv, pdf
16. Xin Tong. "Infinite-Categorical Approaches to Hodge-Iwasawa Theory II: Infinite-Categorical and Derived Hodge-Iwasawa Modules."
Author: Xin Tong.
ArXiv preprint, available on arXiv, arXiv:2311.10022.
Subjects: Number Theory, Derived-Infinite Algebraic Geometry, Derived-Infinite Arithmetic Geometry, Derived-Infinite Analytic Geometry, Algebraic Topology.
arXiv, pdf
17. Xin Tong. "Topologization and Functional Analytification III."
Author: Xin Tong.
ArXiv preprint, available on arXiv, arXiv:2405.14180.
Subjects: Number Theory, Derived-Infinite Algebraic Geometry, Derived-Infinite Arithmetic Geometry, Derived-Infinite Analytic Geometry, Algebraic Topology.
arXiv, pdf
18. Xin Tong. "Infinite-Categorical Generalized Langlands Program I: Mixed-Parity Modules and Sheaves."
Author: Xin Tong.
ArXiv preprint, available on arXiv, arXiv:2311.10019.
Subjects: Modern number theory, modern arithmetic geometry, modern algebraic geometry, modern nonarchimedean functional analysis, derived-infinite categorical homotopical algebraic geometry and derived-infinite categorical homotopical analytic geometry.
arXiv, pdf
19. Xin Tong. "Arithmetic Hodge-Iwasawa Moduli Stacks."
Author: Xin Tong.
ArXiv preprint, available on arXiv, arXiv:2401.09403.
Subjects: Number Theory, Derived-Infinite Algebraic Geometry, Derived-Infinite Arithmetic Geometry, Derived-Infinite Analytic Geometry, Algebraic Topology.
arXiv, HTML, pdf
20. Xin Tong. "Infinite-Categorical Generalized Langlands Program II: Langlands Program Formalism."
Author: Xin Tong.
ArXiv preprint, available on arXiv, arXiv:2405.17909.
Subjects: Modern number theory, modern arithmetic geometry, modern algebraic geometry, modern nonarchimedean functional analysis, derived-infinite categorical homotopical algebraic geometry and derived-infinite categorical homotopical analytic geometry.
arXiv, HTML, pdf
21. Xin Tong. "Infinite-Categorical Generalized Langlands Program III: infinite-Stackification."
Author: Xin Tong.
ArXiv preprint, available on arXiv, arXiv:2406.16757.
Subjects: Modern number theory, modern arithmetic geometry, modern algebraic geometry, modern nonarchimedean functional analysis, derived-infinite categorical homotopical algebraic geometry and derived-infinite categorical homotopical analytic geometry.
arXiv, HTML, pdf
22. Xin Tong. "Generalized Motives through Witt Vectors."
Author: Xin Tong.
ArXiv preprint, available on arXiv, arXiv:2407.01417.
Subjects: Modern number theory, modern arithmetic geometry, modern algebraic geometry, modern nonarchimedean functional analysis, derived-infinite categorical homotopical algebraic geometry and derived-infinite categorical homotopical analytic geometry.
arXiv, HTML, pdf
23. Xin Tong. "p-adic Local Langlands Correspondence."
Author: Xin Tong.
ArXiv preprint, available on arXiv, arXiv:2412.12055.
Subjects: Modern number theory, modern arithmetic geometry, modern algebraic geometry, modern nonarchimedean functional analysis, derived-infinite categorical homotopical algebraic geometry and derived-infinite categorical homotopical analytic geometry.
arXiv, HTML, pdf