Izar Alonso Lorenzo

Double BA, MASt

Status

Postgraduate Student

Contact form

+44 1865 273573

ORCID iD

https://orcid.org/0000-0002-7634-733X

Research groups

Geometry

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

Research interests

My research interests are in Differential Geometry. In particular: cohomogeneity one manifolds, balanced metrics, $\text{SU}(3)$-structures, $G_2$-structures, heterotic systems, gauge theory in higher dimensions.

Prizes, awards, and scholarships

Stephen Della Pietra Program Associate Fellowship, for the Simons Laufer Mathematical Sciences Institute (formerly known as MSRI) program Analytic and Geometric Aspects of Gauge Theory during the Fall 2022 semester (August-December 2022).
Engineering and Physical Sciences Research Council (EPSRC) award, University of Oxford.
Jesus College Graduate Scholarship.

Teaching

Jesus College: Retained Lecturer in Pure Mathematics, 2020-2023.

Topology, Hilary Term 2023.
Linear Algebra II, Hilary Term 2023.
Analysis III - Integration, Trinity Term 2022.
Groups and Group Actions, Hilary Term 2022 and Trinity Term 2022.
Topology, Hilary Term 2022.
Linear Algebra II, Hilary Term 2022.
Linear Algebra I, Michaelmas Term 2021.
Introduction to University Mathematics, Michaelmas Term 2021.
Analysis III - Integration, Trinity Term 2021.
Groups and Group Actions, Hilary Term 2021 and Trinity Term 2021.
Topology, Hilary Term 2021.
Linear Algebra II, Hilary Term 2021.
Linear Algebra I, Michaelmas Term 2020.
Introduction to University Mathematics, Michaelmas Term 2020.

Mathematical Institute:

C3.5 Lie Groups. Teaching Assistant, Hilary Term 2020.
B3.2 Geometry of surfaces. Teaching Assistant (two sets of classes), Michaelmas Term 2019.

Further details

I am a fourth year DPhil student under the supervision of Professor Andrew Dancer and Professor Jason Lotay. Before I did a Double Bachelor’s Degree in Mathematics and Physics at Universidad Complutense de Madrid, and a MASt in Pure Mathematics at University of Cambridge.

Major / recent publications

Coclosed $G_2$-structures on $\text{SU}(2)^2$-invariant cohomogeneity one manifolds

I. Alonso (2022) https://arxiv.org/abs/2209.02761

On the existence of balanced metrics on six-manifolds of cohomogeneity one

I. Alonso, F. Salvatore.

Annals of Global Analysis and Geometry 61, 309–331 (2022) https://doi.org/10.1007/s10455-021-09807-z