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Algebra Lab

Algebra Lab

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Professor

About

KAIST 수리과학과 곽시종 교수의 연구실은 대수기하학(Algebraic Geometry)과 가환대수(Commutative Algebra)를 연구한다. 사영다양체의 syzygy, 차수 복잡도(degree complexity), Castelnuovo-Mumford 정칙성 등 사영다양체와 coherent sheaf의 정칙성 문제에 초점을 둔다.

Research keywords

AlgebraAlgebraic GeometryCommutative Algebra

Selected publications

  • On Syzygies, degree, and geometric properties of projective schemes with property N_{3,p}Journal of Pure and Applied Algebra, vol. 219 · 2015
  • Sharp bounds for higher linear syzygies and classifications of projective varietiesMathematische Annalen, vol. 361 · 2015
  • Generic initial ideals of singular curves in graded lexicographic orderJournal of Algebra, vol. 372 · 2012
  • The degree complexity of smooth surfaces of codimension 2Journal of Symbolic Computation, vol. 47 · 2012

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