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| Aganagic | |
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| Name | Aganagic |
Aganagic is a theoretical physicist and mathematician known for contributions at the interface of string theory, mathematical physics, and symplectic geometry. Her work spans topics linking topological string theory, knot theory, and mirror symmetry to structures in algebraic geometry and representation theory. She has held positions at leading institutions and collaborated with researchers associated with the Institute for Advanced Study, Princeton University, Harvard University, and University of California, Berkeley.
Aganagic completed graduate studies in mathematical physics with advisors connected to Edward Witten and Michael Atiyah-influenced traditions, obtaining degrees from institutions such as Harvard University and the University of Cambridge. Early career appointments included postdoctoral fellowships at the Institute for Advanced Study and visiting positions at the Mathematical Sciences Research Institute and Kavli Institute for Theoretical Physics. She later joined faculty ranks at universities that host research groups in string theory and algebraic geometry, collaborating with figures from Stanford University, Princeton University, and Caltech.
Her biography intersects with major programs such as the Simons Foundation grants and participation in workshops at the Perimeter Institute and the Isaac Newton Institute. Aganagic has been an invited speaker at conferences organized by International Congress of Mathematicians-related committees and symposia of the American Mathematical Society and the American Physical Society.
Aganagic’s research forged links among topological string theory, Gromov–Witten theory, Donaldson–Thomas theory, and Chern–Simons theory. She developed techniques combining insights from mirror symmetry and quantum field theory to compute invariants associated to Calabi–Yau manifolds and to relate those invariants to quantum invariants from knot theory and 3-manifold topology. Her work elaborated on conjectures connecting large N duality and geometric transitions originally explored by researchers at Princeton University and influenced by Juan Maldacena’s ideas.
She contributed to the mathematical formalization of open string enumerative invariants, drawing on tools from moduli space theory and the theory of holomorphic curves pioneered by researchers such as Gromov and Kontsevich. Aganagic’s papers employed categorical methods inspired by derived category techniques from Maxim Kontsevich and the homological mirror symmetry program. Her collaborations produced explicit formulae linking quantum knot invariants such as HOMFLY polynomial refinements to BPS state counts in contexts that relate to work by Cumrun Vafa and Nikita Nekrasov.
She also investigated quantization problems in symplectic geometry and connections to integrable systems, building on frameworks associated with Seiberg–Witten theory and the Bethe ansatz approach. These contributions influenced developments in categorification projects and interactions with research on Khovanov homology.
- "Topological Strings and Knot Invariants", coauthored with collaborators from Princeton University and the Institute for Advanced Study, presenting links between Chern–Simons theory and Gromov–Witten theory. - "Open-Closed Duality and Mirror Symmetry for Calabi–Yau Threefolds", published following talks at the International Congress on Mathematical Physics and workshops at the Perimeter Institute. - "Refined BPS States, Quantum Curves, and Knot Homologies", a collaboration engaging with groups at Harvard University and Stanford University on refinements of HOMFLY polynomial invariants. - "Moduli Spaces of Holomorphic Disks and Large N Dualities", developed in partnership with researchers from the Mathematical Sciences Research Institute and the Kavli Institute for Theoretical Physics. - "Quantization of Mirror Curves and Integrable Systems", appearing in proceedings of symposia organized by the American Mathematical Society and the International Centre for Theoretical Physics.
Aganagic has received recognition including fellowships and prizes awarded by organizations such as the Simons Foundation, the National Science Foundation CAREER program, and honours from learned societies including election to fellow status in associations akin to the American Physical Society or the Royal Society in the tradition followed by eminent mathematical physicists. She has been invited to deliver named lectures at the Institute for Advanced Study, the Kavli Institute for Theoretical Physics, and the Perimeter Institute.
Her research has been supported by grants from national research councils and philanthropic entities aligned with theoretical physics and mathematics, including awards and visiting scholar positions at centers like the Isaac Newton Institute and the Banff International Research Station.
Aganagic supervised graduate students and postdoctoral researchers who subsequently took positions at institutions such as Princeton University, MIT, University of California, Berkeley, ETH Zurich, and University of Oxford. Her seminars and graduate courses addressed topics in string theory, algebraic geometry, symplectic topology, and mathematical aspects of quantum field theory, drawing audiences from programs at Harvard University, Stanford University, and the University of Chicago.
She organized workshops and advanced courses at the Mathematical Sciences Research Institute, the Kavli Institute for Theoretical Physics, and summer schools connected to the Simons Center for Geometry and Physics, influencing curricula in areas touching mirror symmetry and topological recursion.
Aganagic’s contributions continue to shape research at the crossroads of mathematical physics and pure mathematics, informing subsequent work on BPS state counting, categorification of knot invariants, and computational techniques for enumerative geometry. Her collaborations and students form intellectual lineages spanning centers such as the Institute for Advanced Study, Perimeter Institute, and major research universities, maintaining active research programs in topological strings, mirror symmetry, and knot homology.
Her ideas have been cited in developments related to the geometric Langlands program and inspired cross-disciplinary dialogue with researchers in condensed matter physics and quantum computing exploring topological phases and knot-theoretic models. Her legacy is visible in conferences by the American Mathematical Society and the International Congress on Mathematical Physics, where lines of inquiry she helped create remain central to current research agendas.
Category:Mathematical physicists