Algebraic Geometry, Mirror Symmetry.

艾米尔马尔特的博士项目坚定地处于两个EPSRC领域的交汇点，即代数和几何以及数学物理。他正在从事该领域的一个名为镜像对称性的研究项目，这是一个通过弦理论的二元性将几何的不同学科联系在一起的跨学科数学领域。这将他的工作直接置于EPSRC的战略优先事项。他的特定研究项目与泰勒·凯利资助的EPSRC项目“镜像结构：开发、统一、应用”EP/S03062X/1中的提案相关联。Malter在提案的统一框架内工作。在这部作品中，他的目标是将镜子的两种结构统一起来--相当异国情调的Libgober-Teitelbaum镜子结构，两个立方体的完全交集，以及更传统的巴蒂雷夫-鲍里索夫结构。他将通过使用涉及派生范畴、Landau-Ginzburg模型和环变分几何不变量理论的技术来实现这一点。

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.