- Self-Similar Fractals in Arithmetic
- On correspondences on Siegel spaces
- Deformation of Outer Representations of Galois Group
- On Congruences Between Drinfeld Modular Forms
- On the Notion of p-old Siegel Modular Forms
- On a Theorem of Ihara
- Deformation of Outer Representations of Galois Group II
- On the Smoothness of Functors
- Arithmetic Deformation Theory of Lie Algebras
- Self-Similarity in Geometry, Algebra and Arithmetic
- On Hyperbolic Profinite Groups
- A geometric formulation of Siegel’s diophantine theorem
- Approximation on abelian varieties by its subgroups
- Arithmetic Teichmuller Theory
- On the Hierarchy of Real Numbers
- On Geometric Representations of Galois Group
- Generalized Category Theory for Atlas of Concepts
- Ihara-Type Results for Siegel Modular Forms
- Research Project no. 1: Extending Abelian Reciprocity Laws
- Research Project no. 2: Manyfans: A generalization of manifold
- Research Project no. 3: A formulation of Riemann hypothesis on hyperbolic 3-manifolds
- Research Project no.4: Class Field Theory Over Field With One Element
- Research Project no. 5: Convex Sets Playing the Role of Numbers
- Research Project no. 6: Complex Analogue of Knots and Primes Analogy
- Research Project no. 7: An Analogue of Knots over Finitely Generated Fields and Grothendieck’s Anabelian Philosophy
- Research Project no. 9: On analogue of ABC-conjecture in arithmetic topology
- Research Project No. 8: One-dimensional Arakelov theory and knots in three-manifolds
- Research Project no. 10: Artin conjecture for knots on hyperbolic 3-manifolds
- Research Project no. 11: Arithmetic Topology and Grothendieck’s Anabelian Philosophy
- Research Project no. 12: Hecke Correspondences in Arithmetic Topology
- Research project no. 13: Galois Representations in Arithmetic Topology
- Research Project no 14: Trace of Hecke Operators in Arithmetic Topology
- Research Project no 15: Modular Forms on Products of Poincare’s Hyperbolic Half-Spaces
- Research Project no. 19: New Horizons In Euclidean Geometry
- Research Project No. 20- Pseudo-Anosov Automorphisms of Hyperbolic Groups and Riemann Hypothesis
- Research Project No. 22: Algebras over Durov Operads
- Research Project No. 23: Deformation of Durov Algebras
- Research Project No. 24: Standard Conjectures for Durov Arakelov Theory
- Research Project No. 25: Dynamics Over a Grothendieck Site and Quantum Theory
- Research Project No. 26: Witten Conjecture Formulated on Moduli of Abelian Varieties
- Research Project No. 27: On Borel measure structures
- Research Project No. 28: Functional Analysis on Borel Measure Structures
- Research Project No.29: Arithmetic Arakelov Theory in Dimension One- Durov Setting
- Intersection Pairing on Drinfeld Moduli Curves
- Manyfans
- Notes on Geometry of Higher Dimensional Modular Forms
- Multivariable p−Adic Complex Analysis: A Geometric Viewpoint
- Morley’s Theorem in Limiting Cases
- Research Project No.30: Geometric Deep Learning, Fans and Manifans
- Research project No. 31: Topological deep learning (TDL) and Grothendieck sites
- دایره و مربع، کدام متقارنتر است؟
- قضیه چگالی چبوتارف و برگبندی ژئودزیک خمینههای سه بعدی هذلولوی
- مسئله پیوستار
- در تقابل با اصل کاوالیری؟! مثالی پارادوکسگونه در دینامیک
- درباره اعداد مرکبی که در شرط فرما صدق میکنند
- معرفی چند نگاره توپولوژیک جدید
- چند مثال از اندازههای علامتدار
- حركت مستوی زیرفضاهای مستوی در فضای تخت
- از ابرمكعب تا کاشیکاری – قسمت اول
- از ابرمكعب تا کاشیکاری – قسمت دوم
- الگوریتم گسسته در برابر الگوریتم پیوسته
- آنالوژی در نظریه اعداد و آنالوژی بین گرهها و اعداد اول