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Monyrattanak Seng

PhD in mathematics

Royal University of Phnom Penh

About Me

I am a lecturer at RUPP (Royal University of Phnom Penh). I pursued and obtained my postgraduate degrees from Centro de Investigación en Matemáticas (CIMAT), Mexico under direction of Dr. Raúl Quiroga Barranco.

I obtained a master degree with a thesis entitle: Matrix Lie Groups and Lie Correspondences that is about Lie groups that are subgroups or isomorphic to subgroups of general linear group and relations to their Lie algebras. My PhD research focused on C*-algebras generated by Toeplitz operators. The goal is to find such commutative algebras. The first part was to use the theory of representation of Lie groups and Lie algebras and the second part is to related the problem to a moment map that is an important concept in symplectic geometry.

Interests

  • Algebras Generated by Toeplitz Operators
  • Lie Groups, Lie algebras and Representations
  • Moment Maps and Geometry of Manifolds

Education

  • PhD in Mathematics, 2022

    Centro de Investigación en Matemáticas

  • MSc in Mathematics, 2017

    Centro de Investigación en Matemáticas

  • BSc in Mathematics, 2012

    Royal University of Phnom Penh

Recent Posts

How to Prepare a Presentation Using Latex?

តើគួរអានសៀវភៅគណិត ដោយរបៀបណា?

ការអាន​សៀវភៅ​គណិតវិទ្យា មិនងាយស្រួល​ដូចការអាន​សៀវភៅប្រលោមលោក រឺសៀវភៅ​អក្សរសាស្ត្រ​ឡើយ ។ …

កំហុសដែលពេញនិយម ពេលដោះស្រាយ​លីមីត​នៃស្វ៊ីត​តាមនិយមន័យ

យើងនឹងធ្វើការបង្ហាញ និងកែលំអនូវកំហុសមួយដែលសិស្ស និស្សិត និង លោកគ្រូ អ្នកគ្រូ មួយចំនួនតែងបង្ករឡើង ពេលដោះស្រាយលីមីតនៃស្វ៊ីតតាមនិយមន័យ ។ …

Talks

A Moment Map for the T-action and Commuting Toeplitz Operators acting on Bergman Spaces of the Bounded Symmetric Domain of Type IV

We will introduce the recent class of symbols related to a moment map. First, we will compute a moment map for the T-action on the …

Toeplitz Operators With Invariant Symbols Acting on Bergman Spaces of the Bounded Symmetric Domain of Type IV

With the underlying n-dimensional Cartan domain of type IV, we will consider two subgroups of a maximal compact subgroup SO(n)xSO(2): A …

Introduction to Lie Groups and Lie Algebras

In this talk, I gave some motivations why a Norwegian mathematician Marius Sophus Lie (1842-1899) interested in Lie groups and Lie …

Teachings

Topology I (Sep 2022 - Jan 2023)

Complex Variables (Jan 2022 - May 2022)

This is a one semester course on complex variables for MAC students cohort I. The reference used in the course is "COMPLEX …

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