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Monyrattanak Seng

PhD in mathematics

Royal University of Phnom Penh

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

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