Up to 30% off — ends 2 Aug
ONLY00h00m00s
Up to 30% off — ends 2 Aug
ONLY00h00m00s
University of Liverpool
4 months ago
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PhD in Enumerative Geometry via Triangulated Categories and Bridgeland Stability Conditions University of Liverpool in United Kingdom
Degree Level
PhD
Field of study
Mathematics
Funding
Full funding availableDeadline
Expired
Country
United Kingdom
University
University of Liverpool

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About this position
This PhD project at the University of Liverpool offers an exciting opportunity to work at the forefront of modern geometry, focusing on enumerative geometry via triangulated categories and Bridgeland stability conditions. The project is supervised by a team of five researchers with expertise spanning enumerative algebraic geometry, triangulated categories, non-commutative geometry, Bridgeland stability conditions, moduli spaces, Hodge theory, classification of higher-dimensional varieties, and perverse sheaves and stratifications.
Enumerative geometry, which involves counting geometric objects, is a classical and vibrant area of mathematics that continues to inspire innovative research at the intersection of geometry, topology, and algebra. The project brings together the Algebraic Geometry and Geometry & Topology groups at Liverpool, providing a collaborative environment with complementary expertise in algebraic geometry, category theory, non-commutative geometry, and topology.
As a PhD student, you will have the opportunity to work on a specific topic within the broad umbrella of the project, with the choice of topic and supervisors tailored to your mathematical background and interests. The first 1-2 years will focus on training, both in your chosen research area and in broader mathematical skills, including writing and presenting mathematics. The remaining time will be dedicated to original research, with opportunities to collaborate with other postgraduate researchers, postdoctoral fellows, and academic staff.
The Department of Mathematical Sciences at the University of Liverpool provides a stimulating research environment and access to a wide range of mathematical expertise. Applicants should have a strong background in pure mathematics, particularly in algebraic geometry, topology, or related fields. The project is ideal for candidates with a passion for deep mathematical questions and a desire to contribute to the advancement of modern geometry.
To apply, complete the University of Liverpool's online postgraduate research application form for a PhD in Mathematical Sciences, ensuring you include the project title and reference number MPPR18. The application deadline is April 3, 2026.
Funding details
Full funding including tuition fees and living expenses is available for this position. The scholarship covers all educational costs and provides a monthly stipend.
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