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Research Interests
In general, I try to understand what is easy and what is hard to compute, independently of any particular computer. I work in algorithm design and complexity theory, and I especially like connections between the two subjects. I think about many questions, but a few of them haunt me more than others. Some examples: Can the existence of an algorithm for a problem be used to prove that other algorithms cannot exist for other problems? Can the nonexistence of algorithms be used to prove that another algorithm correctly solves a problem? (In fact, there are "yes" answers to both questions!) Does every function implementable with a low memory footprint also have a fast implementation? (Is $P = PSPACE$?) Could computers themselves help us make progress on answering these questions?
In general, I try to understand what is easy and what is hard to compute, independently of any particular computer. I work in algorithm design and complexity theory, and I especially like connections between the two subjects. I think about many questions, but a few of them haunt me more than others. Some examples: Can the existence of an algorithm for a problem be used to prove that other algorithms cannot exist for other problems? Can the nonexistence of algorithms be used to prove that another algorithm correctly solves a problem? (In fact, there are "yes" answers to both questions!) Does every function implementable with a low memory footprint also have a fast implementation? (Is $P = PSPACE$?) Could computers themselves help us make progress on answering these questions?
研究兴趣
论文共 196 篇作者统计合作学者相似作者
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CoRR (2024)
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CoRR (2023): 7:1-7:17
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Electron. Colloquium Comput. Complex. (2023)
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Electron. Colloquium Comput. Complex. (2023)
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2023 IEEE 64TH ANNUAL SYMPOSIUM ON FOUNDATIONS OF COMPUTER SCIENCE, FOCS (2023): 1008-1047
ITCSpp.35:1-35:24, (2023)
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Gabriel Bathie,Ryan Williams
Innovations in Theoretical Computer Science (2023): 10:1-10:24
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