CV

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.

• Book reviewer for Springer, Oxford University Press.