Algebraic geometry research topics

Algebra And Geometry Research Group (AGR)

1. Introduction

Algebra and Geometry Research Group (AGR) is a research group founded by Ton Duc Thang University. The Study of the structures of modules over commutative rings is a main work in commutative algebra. Especially, local cohomology introduced by Grothendieck is an important tool. On this basis, we can study algebraic varieties as major objects in algebraic geometry.

2. Mission and vision

The purpose of AGR is to study the structures of modules over commutative rings, local homology and local cohomology. We are also interested in studying on algebraic varieties as major objects in algebraic geometry.

3. Research topics

Commutative rings and modules

Linearly compact modules

Local homology and local cohomology

Duality

Multiplicity theory

Algebraic varieties

4. Current members

	Dr. Tran Tuan Nam Positions: Head of Algebra and Geometry Research Group, Ton Duc Thang University, Ho Chi Minh City, Vietnam Associate Professor in Mathematics-Informatics Areas of expertise:Commutative rings and modules, Linearly compact modules, Local homology, Local cohomology, Duality, Multiplicity theory and Algebraic varieties Research track record (until October of 2017): ISI papers:21 Top ISI journals (at most 5): 1. Mathematical Proceedings of the Cambridge Philosophical Society 2. Journal of Algebra 3. International Journal of Mathematics 4. Journal of Mathematics of Kyoto University 5. International Journal of Algebra and Computation
	Dr. Nguyen Minh Tri Position:Member of Algebra and Geometry Research Group, Ton Duc Thang University, Ho Chi Minh City, Vietnam Areas of expertise:Commutative rings and modules, Local cohomology, Duality and Algebraic varieties
	Do Ngoc Yen, MSc Position:Member of Algebra and Geometry Research Group, Ton Duc Thang University, Ho Chi Minh City, Vietnam Areas of expertise:Commutative rings and modules, Linearly compact modules, Local homology, Local cohomology, Duality and Multiplicity theory
	Dr. Dinh Van Duong Position:Member of Algebra and Geometry Research Group, Ton Duc Thang University, Ho Chi Minh City, Vietnam Areas of expertise:Mathematics

5. Publications (ISI or Scopus only)

1. Nguyen Mınh Tri (2020); Some results on top generalized local cohomology modules with respect to a system of ideals; Turkish Journal of Mathematics (ISI).
2. Tran Tuan Nam, Do Ngoc Yen, Nguyen Minh Tri (2020); Formal local homology; Colloquium Mathematicum (ISI).
3. Do Ngoc Yen and Tran Tuan Nam (2019); Generalized local homology and duality ; International Journal of Algebra and Computation (ISI).
4. Nguyen Minh Tri, Nguyen Thanh Nam, Tran Tuan Nam and Nguyen Duc Minh (2019); On the finiteness of associated primes of local cohomology modules; Publicationes Mathematicae (ISI).

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