Editorial
- Editorial Board member of the Bulletin and Journal of the London Mathematical Society (2026– )
- Editorial Board member of the Philosophical Transactions of the Royal Society A (2022– )
- Editorial Board member of the Proceedings of the Royal Society of Edinburgh: Section A Mathematics (2013–2025)
- Subject editor in Analysis for Glasgow Mathematical Journal (2010–2021)
- Editorial Board member of Complex Variables and Elliptic Equations (2011–2021)
Advisory
- London Mathematical Society (LMS) Research Policy Committee: 2023–2024
- Heads of Departments of Mathematical Sciences (HoDoMS) Committee: 2022–2024
- Evaluation Panel for the Czech Science Foundation: 2018–23
- College of Expert Reviewers for the European Science Foundation (ESF): 2014–
Meeting organisation
- UK-Japan Workshop on Nonlinear PDEs: Singularities and asymptotic patterns in Fluids, Chemotaxis and Geometric PDEs (ICMS, Bayes Centre, Edinburgh, 30 June – 4 July 2025)
- Swansea Summer School in Nonlinear PDEs (Swansea, 1–5 July 2024)
- Workshop on Symmetries and Asymptotic patterns in Nonlinear Partial Differential Equations (Swansea, 10–12 June 2019)
- 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications, July 5 – July 9, 2018, Taipei, Taiwan: special session organiser
- UK-Japan Workshop on Analysis of Nonlinear Partial Differential Equations (Swansea, 16–18 May 2018)
- LMS WIMCS - Bath Analysis Day (Swansea, 20 March 2015)
- LMS WIMCS Analysis Day (Swansea, 25 September 2014)
- LMS WIMCS Workshop on Calculus of Variations and Nonlinear PDEs (Swansea, 25 May 2012)
- LMS WIMCS Workshop on Calculus of Variations and Nonlinear PDEs (Swansea, 20 May 2011)
- Second South West Regional PDE Winter School (Swansea, 15–16 January 2010)
- LMS South West and South Wales Regional Meeting 2008 and subsequent Workshop on Calculus of Variations and Nonlinear PDEs (Swansea, 15–17 September 2008)
- Summer School on Nonlinear Parabolic Equations and Applications (Swansea, 7–11 July 2008)
Visiting positions
- Visiting Professor at Zhejiang Normal University, Jinhua, China, October 2025
- Visiting Professor at University of Rome II Tor Vergata, Italy, May – June 2024
- JSPS Research Fellow at Osaka Metropolitan University, Japan, December 2022 – January 2023
- Guest Professor at Osaka Prefecture University, Japan, December 2016 – January 2017
- Coleman-Cohen Trust Visiting Professor fellowship, Technion, Haifa, Israel, January – February 2015
- Visiting professor fellowship, Catholic University of Louvaine, Louvaine-la-Neuve, Belgium, May 2012
Recent research invitations
- Seminar Talk, Waseda University, Tokyo, Japan, January 2026
- Seminar Talk, OIST, Okinawa, Japan, January 2026
- Seminar Talk, Osaka Metropolitan University, Japan, January 2026
- Seminar Talk, Nankai University, Tianjin, China, December 2025
- Seminar Talk, Suzhou University of Science and Technology, Suzhou, China, December 2025
- Seminar Talk, Jiangsu University, Zhenjiang, China, December 2025
- Seminar talk at OxPDE, University of Oxford, October 2024
- BIRS Workshop "Nonlocal Problems in Mathematical Physics, Analysis and Geometry", 15–19 September 2024, IASM, Hangzhou, China: invited talk (online)
- Workshop "A Glimpse into PDEs", 12–14 June 2024, University of Campania, Caserta, Italy: invited talk
- Workshop "Modeling and Analysis in Nanomagnetism and beyond", 27–31 May 2024, University of Parma, Italy: invited talk
- PDEs, Calculus of Variations and Applications, Workshop in honor of Catherine Bandle, KIT Karlsruhe, 13–14 March 2024: invited talk
- Seminar talk, Shanghai Jiao Tong University, China, January 2024
- Research visit and seminar talk, Zhejiang Normal University, Jinhua, China, December 2023
- ICIAM 2023 - 10th International Congress on Industrial and Applied Mathematics, August 20–25, 2023, Waseda University, Tokyo, Japan: invited minisimposium talk (online)
- Workshop "Contemporary advances in nonlinear PDE and the Calculus of Variations", 10–11 July 2023, University of Reading: invited talk
- Workshop "Variational methods for nonlinear PDEs", 4–7 July 2023, Cardiff University: invited talk
- Seminar talk, Waseda University, Tokyo, Japan, January 2023
- Seminar talk, Tokyo Metropolitan University, Tokyo, Japan, January 2023
- Seminar talk, Shanghai Jiao Tong University, Zoom, January 2023
- South Osaka Analysis seminar talk, Osaka Metropolitan University, Tokyo, Japan, December 2022
- Workshop "Frontiers in Nonlocal Nonlinear PDEs", Anacapri, Italy, 5–8 July 2022: invited talk
- Nonlinear PDE seminar, Zhejiang Normal University, China, May 2022: invited Zoom talk
- Lecture course on "Criticality theory for Schrödinger operators" given at The Taught Course Centre (TCC), January–March 2022
- Nonlinear PDE seminar, KIT - Karlsruhe Institute of Technology, November 2021: invited Zoom talk
- Exact Results in Quantum Theory & Gravity Seminar, University of Warsaw, April 2021: invited Zoom talk
- University of Rome II "Tor Vergata", December 2020: invited Zoom talk
- V.I. Smirnov Seminar on Mathematical Physics, St. Petersburg Department of V.A. Steklov Institute of Mathematics, November 2020: invited Zoom talk
- Minicourse "Positivity principles and decay of solutions in semilinear elliptic problems" given at Online Mini-courses in Mathematical Analysis 2020, University of Padova, 14–17 September 2020
- Singular problem associated to quasilinear equation - Workshop in celebration of Marie-Françoise Bidaut-Véron and Laurent Véron's 70th birthday, Zoom, 1–3 June 2020: invited talk
- "Nonlinear days in Alghero", Italy, 16–20 September 2019: invited talk
- Research visit, Korea Advanced Institute of Science and Technology (KAIST), Daejeon, South Korea, July 2019
- Seminar talk, Tsinghua University, Beijing, China, June 2019
- Seminar talk, Soochow University, Suzhou, China, June 2019
- Research visit and workshop talk, Suzhou University of Science and Technology, China, June 2019
- Research visit and seminar talk, University of Padova, Italy, February 2019
- Research visit and seminar talk, Korea Advanced Institute of Science & Technology (KAIST), Daejeon, South Korea, January 2019
- Research visit and seminar talk, Osaka Prefecture University, Japan, December 2018
- Research visit and seminar talk, University of Sassari, Italy, September 2018
- London Analysis Seminar talk, May 2018
- Research visit and seminar talk, Kent State University, Ohio, USA, April 2018
- Research visit and seminar talk, Texas A&M University, USA, April 2018
- Mathematical Challenges in Quantum Mechanics, Rome, 19–24 February 2018: session talk
- The Batsheva de Rothschild Seminar on Hardy-type Inequalities and Elliptic PDEs, Midreshet Sde Boker, Israel, 7–11 January 2018: invited talk
- Erasmus+ visit to Texas A&M University, USA, April 2017
- Workshop on "Schrödinger equations: Asymptotics, Integrability and Beyond", Bristol, 28 March 2017: invited talk
- Analysis Seminar talk, University of Padova, Italy, Novemeber 2016
- Research visit and seminar talk, Catholic University of Louvaine, Louvaine-la-Neuve, Belgium, March 2016
Research grants
- Leverhulme Trust Research Fellowship, 2025–26.
- ICMS (International Centre for Mathematical Sciences) Workshop Grant for the “UK-Japan Workshop on Nonlinear PDEs” (Edinburgh, July 2025)
- The Royal Society International Exchanges Cost Share - NSFC, China, 2020–26.
- LMS Scheme 1 Conference Grant, 2019.
- Leverhulme Trust Visiting Professorship - Professor Friedemann Brock, 2018–19.
- LMS Scheme 1 Conference Grant, 2018.
- The Royal Society International Joint project UK - Switzerland, 2004–07.
- The Nuffield Foundation award to newly appointed lecturers; 2002–04.
Smaller LMS, Royal Society, British Council and internal short visits and conference grants are not listed.