Personal Data

• Institution: Chalmers University of  Technology

• Address: Campus Johanneberg, building MV-huset. Floor 1. Room L2106. Chalmers tvärgata 3, 412 58 Göteborg, Sweden

• e-mail: andreapa at chalmers dot se

Present Position and PostDoc mentor:

• 2024-Present: Postdoc in applied mathematics, Chalmers University of  Technology, Göteborg, Sweden.
  I'm a postdoc in the applied mathematics unit, under the guidance of Prof. Annika Lang. We work on SPDE on manifolds but on a theoretical and computational level, with the goal of finding application to real life problems such as cell evolution and ice crystal formation.
  Postdoc Advisor: Prof. Annika Lang

Education

• 2019/2020-2023/2024: PhD in Applied Mathematics, Scuola Normale Superiore, Pisa.
  During my PhD I studied Kinetic model for densities of particles, fluid dynamics equations related to climate and the contribution of turbulence in rain and clouds formation. 
  PhD Dissertation: "Turbulence Enhancement of Coagulating Processes". PhD Advisor: Prof. Franco Flandoli. Grade: approved cum laude.

• 2017/18-2018/2019: Master Degree in Applied Mathematics, Pisa University, Pisa. Master Dissertation: "Dynamics of Stochastic Gradient Algorithms". Advisors: Prof. Davide Bacciu & Prof. Marco Romito. Grade: 110/110 cum laude.

• 2012/13–2016/17: Bachelor Degree in Pure Mathematics, Pisa University, Pisa. Bachelor Dissertation: "Integrazione di Young: Stabilità di YDE e Rough Paths", Advisor: Prof. Franco Flandoli. Grade: 110/110 cum laude.

• 2006/07–2011/12: High School Diploma in Scientific Studies, Istituto Bambin Gesù - Scuola paritaria, Gualdo Tadino (PG), Grade: 100/100 cum laude.

Grants

• SVeFUM - coverage of the "SPDEs: Statistics Meets Numerics" conference, 2025.
  
  

Work Activities

• Teaching:

1. Teaching Assistant - Advance Statistics (Course) - Pisa University, Pisa, 2019.
   Multivariate statistics, classification and clustering, time series analysis. From a theoretical point of view and through the implementation via a statistical software.

2. Teaching co-Orginizer - Stochastic Partial Differential Equations (Course) - Chalmers University, Gothenburg, Sweden, 2025.
   Stochastic partial differential equations (SPDE) are considered in the sense of Itô. We extend the theory of It̂ stochastic differential equations to infinite dimensions by considering SPDE in the framework of Hilbert spaces. Mild solutions are then simulated which requires approximation in space, time, and of the infinite-dimensional driving Wiener noise. We prove strong and weak convergence rates of the considered approximation schemes.
   
   

• Invited (long) talks and lectures:

1. Probability Lecture Series (Lectures series) - Scuola Normale Superiore, Pisa, 2023.
   Particle Aggregation Under Turbulent Flows
   Abstract: Smoluchowski model is introduced from a stochastic particle system. A gas-kinetic theory on coagulation is recovered. Insight on mass displacement due to turbulence is shown numerically. Based on joint works with Franco Flandoli and Ruojun Huang.

2. China - Hong Kong - Sweden: frontiers of stochastic computations (Series of invited talks) - CAS, Beijing & CSU, Changsha & PolyU, Hong Kong, 2025.
   Stochastic Heat Equation driven by Levy noise on the Sphere
   Abstract: In these three talks, given at CAS, CSU and PolyU in the invited two weeks workshop, different aspects of the SHE with Levy noise on the sphere are discussed. From numerical implementation, regularity of the solution, weak and strong convergence rate both for spectral and fully discrete schemes.

• Organizer:

1. TuBA Workshop (Organizer) - Scuola Normale Superiore, Pisa, 31/01/2024+3/02/2024.
   The objective of the Turbulence on the Banks of the Arno (TuBA) workshop is to provide a platform for early-stage researchers (ideally Ph.D. students and postdoctoral fellows) working in the field of turbulence to come together, exchange ideas, and present their own research.

2. Surfaces and Randomness: summer school (Organizer) - Chalmers University of Technology & University of Göteborg, Göteborg, Summer 2026.
   The objective of the Surfaces and Randomness transformation (SuRTr) summer school is to provide a platform for researchers working in the field of theoretical and numerical study of PDE and SPDE and manifold and the construction of random evolution on surfaces.

• Community:

1. Reviewer for IMA Journal of Mathematical Analysis;

2. Reviewer for Stochastic Analysis and Applications.

• Conferences and Talks:

1. SPASS - Seminars in Probability, Stochastic Analysis and Statistics (Talk) - Pisa University, Pisa, 2022.
   Turbulence Enhancement in Kinetic Coagulation Equations.
   Abstract: A Smoluchowski type model of coagulation with velocity dependence in a turbulent fluid is studied. Existence, uniqueness and regularity is proven  and coagulation enhancement is obtained by numerical simulations. Based on joint works with Franco Flandoli and Ruojun Huang.

2. Cloud physics on the Zugspitze (Talk) - Schneefernerhaus/Max Planck Institute for Dynamics and Self-Organization, Zugspitze, 2023.
   Turbulence enhancement in coagulation.
   Abstract: Smoluchowski model is introduced from a stochastic particle system. A gas-kinetic theory on coagulation is recovered. Insight on mass displacement due to turbulence is shown numerically. Based on joint works with Franco Flandoli and Ruojun Huang.

3. Summer School 100 years of cascades  (Talk) - Université Cote D'Azur, Nice-Porquerolles, 2023.
   Closed Analytic formula for the turbulent rate of collision. 

Abstract: Smoluchowski model is introduced from a stochastic particle system. A one-point and two-point motion statistics are studied to recover a gas-kinetic theory on coagulation. Low inertial regime is obtained trhough correction quantity due to the displacement of particles in turbulent flow. 

4. Summer School 100 years of cascades (Project &Talk) - Université Cote D'Azur, Nice-Porquerolles, 2023.
   On the refined self-similarity hypothesis.
   Abstract: On the refined self-similarity hypothesis, Lagrangian statistics and Eulerian statistics of the dissipation rate are studied for DNS of forced 3dNS equations.

5. CAM seminars (Talk) - Chalmers University of technology, Göteborg, 2024.
   Turbulence enhancement in coagulation.
   Abstract: Smoluchowski model is introduced from a stochastic particle system. A gas-kinetic theory on coagulation is recovered. Insight on mass displacement due to turbulence is shown numerically. Based on joint works with Franco Flandoli and Ruojun Huang.

6. Young Summer School on Stochastic Analysis and (broadly) related fields (Talk) - Linné, Växjö, 2024.
   Averaged Dissipation of Transport Noise with Levy integral
   Abstract: In one spatial and arbitrary jump dimension, the averaged solution of a Marcustype SPDE with pure jump Lévy transport noise satisfies a dissipative deterministic equation involving a fractional Laplace-type operator. We present numerical simulations showing that dissipation occurs for the averaged solution, with a behavior like a fractional Laplacian.

7. Workshop Advances in Numerics for S(P)DEs (Talk) - Chalmers, Göteborg, 2024.
   Averaged Dissipation of Transport Noise with Levy integral
   Abstract: In one spatial and arbitrary jump dimension, the averaged solution of a Marcustype SPDE with pure jump Lévy transport noise satisfies a dissipative deterministic equation involving a fractional Laplace-type operator. We present numerical simulations showing that dissipation occurs for the averaged solution, with a behavior like a fractional Laplacian.

8. Geometric and Stochastic Methods for Fluid Models (Talk) - Kristineberg, Skaftö ,2024.
   Effect of transport noise on fluid: old and new questions

Abstract: We presented the construction of transport noise as in the fashion of Flandoli et all. Focusing on connection to SALT and diffusivity behavior of the corrector term. Numerical simulation on the torus are presented and suggestions for future question and analysis are discussed.

9. SPDEs: Statistics Meets Numerics (Talk) - Mittag-Leffler, Stockholm, 2025.
   Approximation of the Lévy-driven stochastic heat equation on the sphere
   Abstract: The stochastic heat equation on the sphere driven by additive Lévy random field is approximated by a spectral method in space and forward and backward Euler-Maruyama schemes in time, in analogy to the Wiener case. New regularity results, strong and weak convergence rate are proven. Numerical simulations confirm the theoretical results..

10. Numerical solutions of (S)PDEs with complex geometries - Thessaloniki, 2025.
    Approximation of the Lévy-driven stochastic heat equation on the sphere
    Abstract: The stochastic heat equation on the sphere driven by additive Lévy random field is approximated by a spectral method in space and forward and backward Euler-Maruyama schemes in time, in analogy to the Wiener case. In this talk we focus on the new theoretical results and the geometric transformation induced by the solution of the SPDE..

Other Activities (old and new)

• I'm a go enthusiast; I competed in the international tournament “European Go Congress” twice and I helped organizing one in Pisa in 2018.

• I was a member of "Secondi Figli", an Italian LARP Association; creating LARP events, TabletopRPG and  Educational role playing events. Several collaboration with Secondary Schools and Pisa University. I also served as president, treasurer and secretary for different years.

• I am a member of "Rollspel 101" in Göteborg, continuing my love for improvisation, theater and telling stories with tabletopRPG events.