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13 Jun 2024: Plenary speaker at Nordic Perspectives on Artificial Intelligence (Oct. 12-13, 2023). Organizing the workshop Computational mathematics in computer assisted proofs (Sept 12-16, 2022) together with Charles Fefferman and Svetlana ... Organizing the

18 Jun 2024: Computational mathematics in computer assisted proofs. (AIM Workshop. 30 Aug 2022. ... Applied and Computational Mathematics Seminar. (UC Irvine. 16 Nov 2018. The Computational Spectral Problem and a New Classification Theory: Novel Algorithms,

11 May 2024: Natl. Acad. USA, 2022. 8. M.J. Colbrook, On the computation of geometric features of spectra of linear operators on Hilbert spaces, Founda-tions of Computational Mathematics, 2022. ... Data, University of Oxford September 2022.• AIM Workshop:

20 Nov 2023: As a consequence, the SCI hierarchy provides classifications of computational problems that canbe used in computer-assisted proofs. ... Main theorems on computational quantum mechanics 126. Computing the non-computable - The role of the SCI hierarchy in

15 Jul 2023: FOUNDATIONS METHODS. • Σ1 Π1 computer-assisted proofs. • Much of computational literature not sharp! ... SCI throughout computational mathematics 36/37. • Computer-assisted proofs (Σ1 Π11)• Fefferman, Seco, “Aperiodicity of the Hamiltonian

28 Nov 2023: 1. INTRODUCTION. Finite dimensional inverse problems are ubiquitous in the computational sciences as they naturally appearin a plethora of applications. ... 5. RELATION TO PREVIOUS WORK. As an ongoing topic of research in many areas of mathematics,

21 Feb 2023: Keywords. Computational spectral problem, Solvability Complexity Index hierarchy, Smale’sprogram on the foundations of computational mathematics, computer-assisted proofs. ... used in computer-assisted proofs. Indeed, suppose we consider computational

18 Dec 2023: in computer assisted proofs.T. ... Hou) and Problem 5 (J.Lagarias) which discusses results on developing algorithms that are 100% trustworthy and thus appropriatefor computer assisted proofs.

18 Dec 2023: Condition in optimisation: Condition numbers in computational mathematics and numerical analysis have beena mainstay [27, 39] in order to secure trustworthy algorithms that are accurate and stable. ... Ben-Artzi, M. Colbrook, M. Marletta [9, 10, 25, 35].