Search results for “site:ipam.ucla.edu”

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ipam.ucla.edu about-ipam

About IPAM - IPAM

IPAM was founded in 2000 by Mark Green, Tony Chan, and Eitan Tadmor as an NSF Mathematical Sciences Institute with a grant from the NSF Division of Mathematical Sciences. Over 2,000 visitors per year attend its workshops, long programs, student research programs, summer schools, and […]

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ipam.ucla.edu news-research › special-projects

Special Projects - IPAM

IPAM Special Projects are overseen by the Special Projects Director, Terence Tao. These projects aim to make advances in the following areas: Empowering Research with Usable AI Tools. Increasingly powerful and general purpose AI tools are now available for various research tasks, but many of […]

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ipam.ucla.edu news-research › special-projects › mathematics-of-dna-aptamer-design

Mathematics of DNA-aptamer design - IPAM

This project aims to use ML and scientific computation methods to attack key mathematicalchallenges in modeling and designing aptamers, which are single-stranded DNA or RNAmolecules that are particularly attractive for therapeutic or...

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ipam.ucla.edu news-research › special-projects › singularities-in-compressible-gas-dynamics

Singularities in compressible gas dynamics - IPAM

This project, in collaboration with Los Alamos National Laboratory, combines physicalexperiments, simulation, and theory to develop physically accurate models of implosion typesingularities or near-singularities in compressible gases,...

ipam.ucla.edu news-research › special-projects › integrated-explicit-analytic-number-theory-network

Integrated Explicit Analytic Number Theory network - IPAM

Several areas of analysis, such as analytic number theory, are interested in effective inequalities with explicit constants, for instance explicit bounds on the error term in the prime number theorem. With unspecified constants, such bounds are well understood and can be found in many textbooks […]

ipam.ucla.edu news-research › special-projects › alpha-accelerated-formal-proof-synthesis-with-neuro‐symbolicautomation

ALPHA: Accelerated formal proof synthesis with neuro‐symbolicAutomation - IPAM

We will integrate ALPHA with proof assistants such as Lean and Isabelle to ensure reliability of the proofs generated and to gain access to proof assistants’ extensive library and metaprogramming features whileleveraging connections with...

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