We discuss the algebraic geometry of maximum likelihood estimation from the perspective of scattering amplitudes in particle physics. A guiding examples the moduli space of n-pointed rational curves. The scattering potential plays...
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For a prime number p, the crystalline cohomology of an F_p-scheme can be regarded as an analogue of the singular cohomology with Z_p coefficients of a topological space. On the...
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On April 18, 20, and 22, Eric Maskin (Harvard University) will give three introductory lectures on Game Theory. April 18, 2022 | 9:30–11:00 am ET Title: Game Theory Basics...
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The Higgs phase of a gauge theory is important to both fundamental physics (e.g., electroweak theory) as well as condensed matter systems (superconductors and other emergent phenomena). However, such a...
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The Eulerian idempotents of the symmetric group generate a family of representations—the Eulerian representations—that have connections to configuration spaces, equivariant cohomology, and Solomon's descent algebra. These representations are defined in...
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Abstract: As machine learning plays a more prominent role in our society, we need learning algorithms that are reliable and robust. It is important to understand whether existing algorithms are robust...
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Encryption is the backbone of cybersecurity. While encryption can secure data both in transit and at rest, in the new era of ubiquitous computing, modern cryptography also aims to protect...
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On April 18, 20, and 22, Eric Maskin (Harvard University) will give three introductory lectures on Game Theory. April 18, 2022 | 9:30–11:00 am ET Title: Game Theory Basics...
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It has been proved that there is no general algorithm for finding all the integer solutions to a multivariable polynomial equation. Nevertheless, there are some methods that succeed if the...
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We prove that with high probability $G^{(3)}(n,n^{-1+o(1)})$ contains a spanning Steiner triple system. We also prove the analogous result for spanning Latin squares. This threshold is sharp up to a...
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