An Extremely Short Proof of the Hairy Ball Theorem with Peter McGrath

Today Peter McGrathAn Extremely Short Proof of the Hairy Ball Theorem. Peter is a professor of mathematics at NC State, where he researches geometric analysis, minimal surfaces, PDEs. Today's talk was an elegant presentation of the classical result -- Peter makes it accessible, and explains each concept in a clear and transparent manner. This was a really fun talk and really back to our roots as a group, doing pure math on an iPad and loving it! We hope you enjoy the talk as much as we did!

Pascal Kesseli is a software engineer and technical lead at Microsoft AI, with a PhD in Computer Science from Oxford (or a DPhil? Or whatever they call PhDs on that side of the pond). Today Pascal joined us to discuss work he completed while at META FAIR, focused on the conjoining of large language models with symbolic reasoning systems (ultimately, dispatch to SAT) as well as future research directions building on said work.

Daniel Melcer is a PhD student at Northeastern University, where he researches formal methods, reinforcement learning, and large language models, among other things. Daniel also has the most colorful hair in the business (bright red for this talk, other colors for other occasions). Today he joined us to talk about some really exciting work he completed at Amazon, and to expand on his general vision of where constrained inference problems are heading in the future.

Max von Hippel is ... me, the organizer and founder of the Boston Computation Club. Today I hosted an extremely informal event to chat about some of the early experiments in FMxAI I was involved with at Galois, two years ago.

Chenfeng Wei is a PhD student at the University of Manchester, where he researches formal guarantees for large language models. Today he joined us to talk about his latest work exploring bugs in smart-contracts. This is a really interesting project at the intersection of explainable AI, smart contract debugging/security, and cybersecurity/symbolic analysis, and I hope you enjoy it as much as we did!

Today Xiao Mao joined us to discuss his groundbreaking work, Breaking the Sorting Barrier for Directed Single-Source Shortest Paths. It's not every day you beat Djikstra at something. This was a good one. Thank you for talking to us, Xiao!

David A. Noever and Forrest McKee are researchers at PeopleTec, where they work on problems at the intersection of security, defense, and AI/ML. Today David joined us to present their joint work Infecting Generative AI with Viruses. This was a really great presentation that took a rigorous approach to defining the security boundaries and limitations of AI tools, and it fostered one of the better discussions we've hosted in a while. We hope you enjoy it as much as we did!

Mingwei Zhenga Ph.D. candidate in the Department of Computer Science at Purdue University, advised by Prof. Xiangyu Zhang since 2021. Before that, she received her Bachelor’s degree in Computer Science and Technology from Huazhong University of Science and Technology in 2020. Mingwei's research lies at the intersection of Large Language Models (LLMs) and Software Engineering. She builds LLM agents that combine program analysis with LLMs for deep codebase understanding that improve software correctness, robustness, and trustworthiness. Today Mingwei joined us to discuss some ongoing work which she previously presented at IEEE Security and Privacy LangSec, applying language models to bug detection in protocols with IETF RFCs. This was a great talk with deep, technical content and a good conversation. We hope you enjoy!

Today Kaiyu Yang from Meta joined us to discuss formal reasoning using LLMs, particularly in the context of interactive theorem provers.  This is a really fast-moving and exciting field in which reinforcement learning and theorem proving combine to provide a new frontier for fully automated reasoning, and Kaiyu is at the bleeding edge of it.  We were really lucky to get an hour of Kaiyu's time and we hope you enjoy the talk as much as we did!

Michael Sammlern assistant professor leading the Programming Languages and Verification Group at the Institute of Science and Technology Austria (ISTA). Today he joined us to talk about his three primary projects: RefinedC, which uses a refinement and ownership type system to verify C code, Islaris, which shows how to scale verification of assembly code to realistic models of real-world architectures, and DimSum, which provides a decentralized approach for reasoning about multi-language programs (with a particular focus on RefinedC). We had a small but really dedicated crowd which facilitated an excellent discussion. This was a really fun one and we hope you enjoy it as much as we did!