Complexicity theory, algorithms and applications

我现在和未来的研究涵盖了理论计算机科学以及经济学和医学应用的广泛主题。我的主要理论研究领域是复杂性理论，它探索执行各种任务所需的计算资源量。复杂性理论是对算法设计的补充，有助于揭示计算技术的局限性。我已经解决了那个领域的几个长期悬而未决的问题。我还计划继续我的计划，了解可计算性在现实生活中的物理系统中所扮演的角色，通过在我的博士学习期间启动的动力学可计算性计划上取得进一步的进展。

My current and future research covers a broad range of topics in Theoretical Computer Science as well as applications to Economics and Medicine. My primary area of theoretical research is complexity theory, which explores the amount of computational resources required to perform various tasks. Complexity theory complements algorithm design in mapping out the limitations of computational techniques. I have resolved several long-standing open problems in that area. I am also planning to continue my program on understanding the role computability plays in real-life physical systems by making further progress on the Computability in Dynamics program I have initiated during my PhD studies.