Alpár R. Mészáros

Alpár R. Mészáros is a Full Professor at Durham University's Department of Mathematical Sciences. His research focuses on optimal transport, partial differential equations, and mean field games. He has organized conferences such as the 2025 Durham Symposium on Mean Field Games and contributed to events like the LMS Invited Lecture Series in 2023. Mészáros holds a PhD in Mathematics and has authored numerous papers on topics including displacement monotonicity, master equations, and cross-diffusion systems. His work bridges theoretical mathematics with applications in control theory and stochastic processes.

Education: PhD thesis on A variational approach to second order mean field games with density constraints (2015), MSc thesis on BV Estimates in Optimal Transportation (2015). Research interests span optimal transport theory, nonlinear PDEs, and their interplay with game theory and probability. Key contributions include analysis of mean field games master equations, convergence rates for particle systems, and well-posedness results for Hamilton-Jacobi-Bellman equations.

His publications reflect a focus on monotonicity conditions, conservation laws, and stabilization in dynamic systems. Collaborations include work with leading researchers like Wilfrid Gangbo, Filippo Santambrogio, and Charles Mou. He actively contributes to the academic community through organizing workshops and advancing theoretical frameworks in applied mathematics.