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Statement of Research Interests
String theory is the most promising framework for the eventual unication of physics. It bridges the gap between the geometry of gravity and the quantum elds of particle theory, inspiring fruitful new research in each subject individually even as it develops toward its ultimate goal. I see this whole enterprise as one of the most exciting areas in science today, both for its long-term dream of understanding the fundamental structure of the universe and for its ongoing development of new tools and insight for practical models in particle physics.
In my research, I use a variety of non-perturbative techniques to solve problems of both types. My work combines techniques from quantum eld theory with simpler ideas from geometry: portions of each calculation can be understood without mastering the full theory. I expect to be able to collaborate with undergraduates on cutting edge work; please see the included list of potential student projects for some of these plans. I also enjoy discussions and collaboration with colleagues outside my eld; I have contributed ideas and even mathematical proofs to colleagues' research in solid state physics and other disciplines. 我要提问
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