# Izar Alonso Lorenzo

**Address**

Mathematical Institute

University of Oxford

Andrew Wiles Building

Radcliffe Observatory Quarter

Woodstock Road

Oxford

OX2 6GG

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.

- 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.

Jesus College: Retained Lecturer in Pure Mathematics, 2020-2022.

- Groups and Group Actions, Hilary 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.

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. From August to December 2022, I am in residence at the SLMath (previously MSRI) for the program Analytic and Geometric Aspects of Gauge Theory.

**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