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school of mathematics institute for advanced study skip to main content mathematics toggle navigation menu mathematics group nav activities toggle activities submenu school seminars conferences workshops named lectures special years programs toggle programs submenu salem prize wam summer collaborators minerva research program park city mathematics institute the geometry of flows videos people toggle people submenu faculty staff members previous scholars services toggle services submenu computing email math natural sciences library coming to ias apply toggle apply submenu membership sabbatical application summer collaborators wam permanent faculty search begin typing to search for a section of this site search campus resources library dining breadcrumb home school of mathematics school of mathematics events and activities computer science discrete mathematics seminar ii may 12 2026 10 30am 12 30pm add to calendar 05 12 2026 10 30 05 12 2026 12 30 computer science discrete mathematics seminar ii use title topic informal talk on the quantum soundness of the low individual degree test part ii speakers michael chapman institute for advanced study more https www ias edu math events computer sciencediscrete mathematics seminar ii 622 a common tool in the construction of probabilistically checkable proofs is low degree encodings babai fortnow and lund proved the local testability of the individual low degree code and used it to provide a multi prover interactive proof mip protocol for every non deterministic exponential time nexp language in 2019 ji natarajan vidick wright and yuen settled the analogous quantum question showing that there is a quantum mip protocol mip for every recursively enumerable re language arguably the most technical part in their argument is the quantum local testability of the individual low degree code i aim to present both the classical and quantum local testability results with some detail simonyi 101 and remote access a7a99c3d46944b65a08073518d638c23 michael chapman institute for advanced study joint ias pu number theory seminar may 14 2026 3 30pm 4 30pm add to calendar 05 14 2026 15 30 05 14 2026 16 30 joint ias pu number theory seminar use title topic twist parametrized points on modular curves speakers filip najman university of zagreb more https www ias edu math events joint iaspu number theory seminar 27 an important open problem is to classify rational points on all modular curves or equivalently to classify the possible adelic galois images of elliptic curves over q as envisioned in mazur s program b however this problem is inherently infinite in nature there are infinitely many modular curves with rational points including infinitely many with finitely many points and infinitely many with infinitely many points building on zywina s notion of agreeable subgroups we introduce the concepts of twist parametrized and twist isolated points on modular curves assuming standard conjectures on images of galois representations of elliptic curves over q we show that all non cuspidal non cm rational points on arbitrary modular curves are twist parametrized by the rational points on 160 explicit modular curves this is joint work with maarten derickx sachi hashimoto and ari shnidman simonyi 101 and remote access a7a99c3d46944b65a08073518d638c23 filip najman university of zagreb special campus community lecture may 14 2026 5 00pm 6 00pm add to calendar 05 14 2026 17 00 05 14 2026 18 00 special campus community lecture use title topic 40 years of evolution darwin s finches speakers rosemary grant princeton university peter grant princeton university more https www ias edu math events special campus community lecture in the origin of species charles darwin established the scientific basis for understanding how evolution occurs by natural selection to explain how new species form he envisioned a three step process involving colonization of a new area divergence through natural selection and the formation of a barrier to interbreeding between divergent lineages the challenge for us is the same as the challenge for darwin to reconstruct evolutionary history and interpret it in this talk we show how by combining the fields of ecology behaviour and genomics we have been able to reveal the role of natural selection and hybridization in the formation of new species simonyi hall 101 a7a99c3d46944b65a08073518d638c23 rosemary grant princeton university peter grant princeton university ias princeton montreal paris tel aviv symplectic geometry zoominar may 15 2026 9 15am 10 45am add to calendar 05 15 2026 09 15 05 15 2026 10 45 ias princeton montreal paris tel aviv symplectic geometry zoominar use title topic geometry and dynamics of domains in the cotangent bundles of tori speakers jun zhang ustc igp institute of geometry and physics at the university of science and technology of china more https www ias edu math events iasprincetonmontrealparistel aviv symplectic geometry zoominar 36 in euclidean spaces star shaped domains also known as liouville domains are fundamental objects in modern symplectic geometry several important subclasses have been introduced and studied including dynamically convex domains geometrically convex domains and toric domains these classes are not only interesting in their own right but also exhibit deep interrelations in this talk we extend this discussion to fiberwise star shaped domains in the cotangent bundles of tori in particular we introduce analogous subclasses in this new setting and explore classical topics such as large scale geometric properties and embedding problems this talk is based on joint work with antong zhu remote access a7a99c3d46944b65a08073518d638c23 jun zhang ustc igp institute of geometry and physics at the university of science and technology of china wam 2026 may 18 2026 9 30am 10 30am add to calendar 05 18 2026 09 30 05 18 2026 10 30 wam 2026 use title topic from fourier restriction to number theory combinatorics and fractal geometry speakers dominique maldague cambridge university and ucla more https www ias edu math wam events wam 2026 abstract fourier series are classically used to construct solutions to partial differential equations such as the wave and schrödinger equations in fourier restriction theory additional conditions are imposed on the frequencies of these series giving rise to a more geometric view of the underlying functions we will discuss how to use this perspective to study diverse problems like the distribution of prime numbers size of arithmetic progressions in sets and the kakeya problem in fractal geometry simonyi hall 101 a7a99c3d46944b65a08073518d638c23 dominique maldague cambridge university and ucla more events computer science and discrete mathematics since 1999 the computer science discrete mathematics program has been led by avi wigderson in 2024 irit dinur joined ias and will lead the program jointly with avi read more applications memberships and how to apply deadline december 1 wam deadline february 6 summer collaborators program december 1 nsf the school of mathematics wishes to acknowledge and thank the national science foundation for their generous support of the school s programs each year mathematics institutes nsf primes footer menu privacy careers press center libraries archives store contact school of mathematics institute for advanced study 1 einstein drive princeton new jersey 08540 usa phone 609 734 8100 email math math ias edu fax 609 951 4459 support help our scientists and scholars continue their field shaping work give now connect enews signup copyright 2026 institute for advanced study