Algebraic Geometry, Mirror Symmetry.

Aimeric Malter的博士项目是坚定地在两个EPSRC领域，代数和几何以及数学物理的交集。他正在进行一个名为镜像对称的研究项目，镜像对称是一个跨学科的数学领域，通过弦论的对偶性将几何的各个学科联系起来。他的研究项目与泰勒凯利资助的EPSRC项目“镜像构造：开发、统一、应用”EP/S 03062 X/1中的建议有关。Malter在提案的统一框架内工作。他的目标是在这项工作中统一两个结构的镜子-相当异国情调的Libgober-Teitelbaum建设的镜子完全交叉的两个立方体与更传统的Batyrev-Borisov建设。他将通过使用涉及派生类别，朗道-金兹伯格模型和环面变分几何不变理论的技术来做到这一点。

Aimeric Malter's PhD project is firmly in the intersection of two EPSRC areas, Algebra and Geometry as well as Mathematical Physics. He is working on a research project in the field called mirror symmetry, an intradisciplinary mathematics field linking various disciplines of geometry through a duality from string theory. This places his work directly in a strategic priority for the EPSRC.His particular research project is linked to the proposal in Tyler Kelly's funded EPSRC project "Mirror Constructions: Develop, Unify, Apply" EP/S03062X/1. Malter works in the unify framework of the proposal, as it stands. He aims in this work to unify two constructions of a mirror-the fairly exotic Libgober-Teitelbaum construction of the mirror to the complete intersection of two cubics with the more traditional Batyrev-Borisov construction. He will do this through using techniques involving derived categories, Landau-Ginzburg models and toric variational geometric invariant theory.