Hector Papoulias

Status

Postgraduate Student

I am a third year DPhil student jointly supervised by Prof. Jason Lotay and Prof. Andrew Dancer.

Research groups

Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG

Prizes, awards, and scholarships

EPSRC Studentship

Onassis Foundation Scholar

Major / recent publications

Papoulias, V.E. Spin(7) Instantons and Hermitian Yang–Mills Connections for the Stenzel Metric. Commun. Math. Phys. 384, 2009–2066 (2021). https://doi.org/10.1007/s00220-021-04055-5

Research interests

My research lies at the intersection of Differential Geometry, Partial Differential Equations and Mathematical Physics. I am interested in higher dimensional gauge-theoretic equations on Calabi-Yau fourfolds and manifolds with special holonomy.

Teaching

Recorded Lecture on "Gauge Theory on Spaces with Symmetries" for the LMS

Recorded Lecture to assist with examination preparation for Part C: Differentiable Manifolds

Teaching Assistant for Part C: Differentiable Manifolds

Teaching Assistant for Part B: Geometry of Surfaces

Teaching Assistant for Part C: Category Theory

Tutor at the Queen's College for Part A ISO: Introduction to Manifolds