Algebraic Geometry

Lauren Williams introduces the positive Grassmannian and the surprising connections it creates across mathematics and physics. She explains links to waves, traffic and particle scattering, and discusses how research-level mathematical problems can help assess what artificial intelligence is capable of proving.

Investigate differential and tangent categories with Jean-Simon Pacaud Lemay in the School of Mathematical and Physical Sciences. The project connects category theory with differential or algebraic geometry and potential applications in computer science. This two-year, full-time research appointment has a flexible starting date in 2027. Annual pay is AUD 112,550–120,621 plus 17% superannuation and leave loading. International applications are welcome.

RIKEN iTHEMS invites independent research in algebra, geometry, analysis and related mathematical foundations, with interdisciplinary collaboration across natural and mathematical sciences. Senior researchers also coordinate projects and mentor colleagues. Positions are based at the Wako campus, Japan. Initial one-year contracts are renewable within role-specific limits. Employment starts on or after 1 April 2027, negotiable. Applications through Academic Jobs Online must arrive by 20 November 2026, Japan time.

RIKEN iTHEMS invites independent research in algebra, geometry, analysis and related mathematical foundations, with interdisciplinary collaboration across natural and mathematical sciences. Senior researchers also coordinate projects and mentor colleagues. Positions are based at the Wako campus, Japan. Initial one-year contracts are renewable within role-specific limits. Employment starts on or after 1 April 2027, negotiable. Applications through Academic Jobs Online must arrive by 20 November 2026, Japan time.

Lauren Williams introduces the positive Grassmannian and the surprising connections it creates across mathematics and physics. She explains links to waves, traffic and particle scattering, and discusses how research-level mathematical problems can help assess what artificial intelligence is capable of proving.

Shikha Bhutani proves the outstanding positive-characteristic cases of the Borisov–Alexeev–Borisov conjecture for geometrically integral ε-klt del Pezzo surfaces over arbitrary fields. Earlier work by Bernasconi and Martin established boundedness except in characteristics 2, 3 and 5, reducing those cases to a uniform estimate for irregularity. The talk establishes that estimate and thereby completes the boundedness result across all positive characteristics.

Investigate differential and tangent categories with Jean-Simon Pacaud Lemay in the School of Mathematical and Physical Sciences. The project connects category theory with differential or algebraic geometry and potential applications in computer science. This two-year, full-time research appointment has a flexible starting date in 2027. Annual pay is AUD 112,550–120,621 plus 17% superannuation and leave loading. International applications are welcome.