## Education

2009 - 2013

**PhD in Mathematics, University of Warwick.**Supervisor: Prof. David Preiss.

2005 - 2009

**BA and CASM (now MMath), University of Cambridge.**Obtained with Distinction.

## Positions held

- 2024 - pres.
**Reader, University of Warwick.** - 2021 - 2024
**Associate Professor, University of Warwick.** - 2019 - 2021
**Assistant Professor, University of Warwick.** - 2017 - 2019
**Postdoctoral researcher of the Academy of Finland, University of Helsinki.** - 2016 - 2017
**Postdoctoral researcher, University of Helsinki.** - 2013 - 2016
**L. E. Dickson Instructor, University of Chicago.**

## Grants and awards

2023

**Whitehead Prize, London Mathematical Society.**2020

**ERC Starting Grant 948021.**€1.42M. Title “Structure theorems for modern aspects of Geometric measure theory”.

2017

**Academy of Finland Postdoctoral Researcher grant 308510.**€236K. Title “Projections, densities and rectifiability: new settings for classical ideas”.

2014

**Faculty of Science Thesis Prize, University of Warwick.**Awarded annually for the best PhD theses in each department.

2009

**Doctoral training grant, EPSRC.**Three and a half year grant for tuition fees and stipend.

2007

**Foundation Scholar, Queens’ College, University of Cambridge.**Awarded to students obtaining a 1st during their undergraduate degree.

## Talks by invitation

- Metric geometry and geometric measure theory, University of Fribourg, August 2024.
- Geometry of measures and free boundaries, University of Washington, July 2024.
- Barcelona Analysis Conference, June 2024.
- Colloquium, St. Andrews University, February 2024.
- Interactions of Harmonic and Geometric Analysis, University of Birmingham, May 2023.
- Paris-London Analysis Seminar, Institute Henri Poincare, June 2022.
- Workshop on Geometric measure theory and Harmonic analysis, HIM, Bonn, April 2022.
- NCTS International Geometric Measure Theory Seminar, July 2021.
- Geometric Measure Theory and applications, Cortona, June 2021 (cancelled).
- North British Functional Analysis Seminar, Birmingham, April 2021.
- Measure Theory with a Geometric Flavour, Shanghai, August 2020 (cancelled).
- Subriemannian geometry and beyond II, University of Jyväskylä, February 2019.
- Workshop on metric analysis and regularity, Università degli studi di Catania, September 2018.
- Harmonic Analysis and Geometric Measure Theory, CIRM, Marseille, October 2017.
- Geometric Measure Theory workshop, University of Warwick, July 2017.
- 23rd Rolf Nevanlinna Colloquium, FIM, ETH, June 2017.
- Geometric Measure Theory and Its Applications special session, Spring Eastern AMS Sectional Meeting, Stony Brook University, March 2016.
- Analysis and Geometry in Nonsmooth Metric Measure Spaces special session, Joint Mathematics Meetings, Seattle, January 2016.
- Metric Spaces: Geometry, Group Theory, and Dynamics special session, Central Fall AMS sectional meeting, Loyola University, October 2015.
- Workshop in non-smooth geometry, IPAM, UCLA, May 2013.

I have been invited to speak in local analysis and geometry seminars at the following universities: Aalto, Bristol, Chicago, CIMAT, Connecticut, Durham, Edinburgh, Helsinki, Imperial, Jyväskylä, MPIM, Notre Dame, NYU, Oxford, Pisa, Princeton, Rice, SNS, UIUC, Warwick, Washington.

I have been invited to present the following mini lecture series:

- Rademacher’s theorem for metric measure spaces, University of Edinburgh, October 2018.
- Rademacher’s theorem for metric measure spaces, University of Jyväskylä, February 2019.
- An introduction to rectifiability in metric spaces, University of Jyväskylä, August 2023.
- An introduction to rectifiability in metric spaces, University of Trento, June 2024.

## Supervision

### Postdoctoral researchers

- 2021 - 2023 Matthew Hyde
- 2022 - 2025 Julian Weigt
- 2023 - 2023 Elefterios Soultanis
- 2023 - 2025 Emanuele Caputo

### Postgraduate students

- 2021 - 2025 Jakub Takáč
- 2022 - 2026 Pietro Wald
- 2023 - 2027 Phoebe Valentine

### Undergraduate students

- 2022, 4th year project “Prokhorov’s theorem”
- 2023, Phoebe Valentine, MSc dissertation “Characterising 1-Rectifiability via Connected Tangents”
- 2023, 4th year project “On unconditional basic sequences in Banach spaces”
- 2023, 4th year project “Bi-Lipschitz embeddings into Hilbert space”
- 2023, 3rd year URSS project “Topics in the Heisenberg group”

## Professional activities

Organiser of the LMS HA PDE network workshop “Geometric measure theory, harmonic analysis and PDEs”, University of Warwick, February 2023.

Organiser of the conference “Geometric measure theory and analysis on metric spaces”, University of Warwick, August 2022

Co-organiser of the conference “Geometric measure theory and it’s connections”, University of Helsinki, June 2018 (with V. Chousionis, K. Fässler and T. Orponen).

Refereed over 30 articles for leading journals including: Acta Math., Ann. Sci. Éc. Norm. Supér., Comm. Pure Appl. Math., Geom. Funct. Anal., J. Eur. Math. Soc., J. Reine Angew. Math., Math. Ann., Trans. Amer. Math. Soc.

Book reviewer for Springer, Oxford University Press.