Bjoern Bringmann

Presentation title:

On the global well-posedness of singular SPDEs

Affiliation:

Princeton University, Department of Mathematics, Princeton, NJ 08540, United States

Short bio:

Bjoern Bringmann’s research interests lie at the interface of partial differential equations and probability theory. More specifically, he has worked on random dispersive equations and singular parabolic SPDEs. Since 2024, he has been an Assistant Professor in the Department of Mathematics at Princeton University. Before that, he was a Postdoctoral Research Associate at Princeton University and a Member of the Institute for Advanced Study. He obtained his Ph.D. in 2021 from the University of California, Los Angeles, where he was advised by Terence Tao.

Guglielmo FELTRIN

Presentation title (preliminary):

Exploring the relativistic Kepler problem: A journey through bounded orbits and bifurcation phenomena

Affiliation:

Università degli Studi di Udine, Dipartimento di Scienze Matematiche, Informatiche e Fisiche (DMIF), Udine, Italy

Short bio:

Guglielmo Feltrin is an Associate Professor at the University of Udine, in Italy. He received his Ph.D. in Mathematical Analysis from the International School for Advanced Studies (SISSA) in Trieste, under the supervision of Professor Fabio Zanolin. Following his Ph.D., Professor Feltrin held postdoctoral positions at the University of Mons (Belgium) and at the University of Turin (Italy). He then joined the Polytechnic University of Turin as a researcher. He was later appointed to a tenure-track researcher position at the University of Udine, where he has been serving as an Associate Professor since 2022.

Professor Feltrin's research is primarily focused on Differential Equations, Dynamical Systems, and Nonlinear Analysis, with a particular emphasis on qualitative properties of the solutions and topological methods such as fixed point theory and degree theory, a field in which he has developed considerable expertise since his doctoral studies. In recent years, he has expanded his research interests to include problems from Celestial Mechanics and perturbed Hamiltonian systems, collaborating closely with the University of Turin. He is also a member of the DEG1 Differential Equations Group of North-East, an Italian network of mathematicians affiliated with universities in the Friuli Venezia-Giulia region. 

Martin J. Gander

Presentation title:

Preliminary: What is new in domain decomposition?

Affiliation:

University of Geneva, Section of Mathematics, Geneva, Switzerland

Short bio:

Martin J. Gander is a professor of mathematics at the University of Geneva and was previously a professor of mathematics at McGill University. He has held many visiting professor positions, including the Jean Morlet Chair of the CIRM in fall 2022 and the FSMP Chair in Paris in 2023. He became a SIAM Fellow in 2020. His research interests are numerical analysis and scientific computing, numerical linear algebra and parallel computing, iterative methods and preconditioning, and time parallel time integration.

Tomas Gedeon

Presentation title:

Continuous and discrete time dynamics of regulatory networks

Affiliation:

Department of Mathematical Sciences, Montana State University, Bozeman, MT, USA.

Short bio:

I received B.S. and M.Sc. from Comenius University in Bratislava, Slovakia 1989, followed by PhD in Mathematics from Georgia Tech, USA 1994.

I am interested in dynamical systems including ODEs, DDEs, PDEs and discrete time Boolean models in the context of modeling complex real-world systems.

In the last 10 years these applications mostly involve systems biology, in particular models of gene regulatory networks and metabolite exchanging microbial consortia.

A particular mathematical interest is a connection between Boolean discrete time models and ODE models of gene regulatory networks.

Jonathan Jaquette

Presentation title:

Applications of computer-assisted proofs in delay differential equations

Affiliation:

New Jersey Institute of Technology, Department of Mathematical Sciences, Newark, New Jersey, USA

Short bio:

Short bio incl. scientific interests.

Jonathan Jaquette is an assistant professor in the Department of Mathematical Sciences at the New Jersey Institute of Technology. His research broadly focuses on nonlinear dynamics, with an emphasis on computer-assisted proofs and infinite dimensional systems such as PDEs and DDEs. In his PhD thesis he proved Wright's conjecture (1955) and Jones Conjecture (1962).

Miho Murata

Presentation title:

Global solvability of the Q-tensor model for nematic liquid crystals

Affiliation:

Shizuoka University, Department of Mathematical and Systems Engineering, Hamamatsu-shi, Shizuoka, Japan

Short bio:

Miho Murata is an associate professor at Shizuoka University, JAPAN.

She is interested in the well-posedness for quasilinear problems of parabolic type or parabolic-hyperbolic type appearing in fluid dynamics in unbounded domains. Her motivation is to construct a unique strong solution in the maximal regularity class.

Recent topic is the local and global well-posedness for the Q-tensor model describing the nematic liquid crystal flow.

Hirokazu Saito

Presentation title:

On the Rayleigh–Taylor problem for two incompressible viscous fluids

Affiliation:

Graduate School of Informatics and Engineering, The University of Electro-Communications, Tokyo, Japan

Short bio:

My scientific interests include free boundary problems for the Navier–Stokes equations, the Navier–Stokes–Korteweg equations, and the decay properties of the semigroups associated with these equations.

Martin Vohralík

Presentation title:

Potential and flux reconstructions for optimal a priori and a posteriori error estimates

Affiliation:

Project-team SERENA, Inria, Paris, France

Short bio:

Martin Vohralík is a Czech scientist working as a Senior researcher at Inria Paris, France. He is the head of the project-team SERENA; he also holds a Professor degree of the Charles University in Prague. Previously, he was an Associate professor at the Sorbonne University in Paris, France. He serves as an Editor of Computational Geosciences, Applications of Mathematics, and Acta Polytechnica journals. He held the ERC consolidator grant GATIPOR in 2015–2021. His research interests include partial differential equations, numerical discretization methods, numerical linear algebra; and scientific computing, with a specific interest in a posteriori error control and adaptivity. He works on applications to flows and transport in porous media.