Find Academic Supervisors

Adolfo J. RumbosView profile

Professor

• Nonlinear Analysis
• Boundary Value Problems
• Partial Differential Equations
• +3 more

Adolfo J. Rumbos is the Joseph N. Fiske Professor of Mathematics and Statistics at Pomona College, part of The Claremont Colleges, where he has been since 1991. His research focuses on nonlinear analysis, particularly boundary value problems for differential equations, with applications in elliptic partial differential equations. He employs variational and topological methods to study existence and multiplicity of solutions. His work has been published in journals such as Nonlinear Analysis and Journal of Differential Equations . Education: PhD and MA in Mathematics from the University of California, Santa Cruz; BS and BA in Mathematics from Humboldt State University. Research interests include nonlinear elliptic boundary value problems, variational methods, and functional analysis. His studies often address resonance phenomena in semilinear and quasilinear elliptic equations, leveraging advanced analytical techniques to explore solution behavior. Awards include the Pomona College Wig Distinguished Professorship for Teaching (1998), Irvine Distinguished Faculty Fellowship (2004–05), and Outstanding Faculty of Color Award (1997). Recent courses taught include Dynamical Systems, Mathematical Modeling, and Probability. His teaching emphasizes applied mathematics and interdisciplinary approaches.

Irwin YouseptView profile

Professor

• Electromagnetics
• Numerical Analysis
• Optimization
• +3 more

Prof. Dr. Irwin Yousept is a Full Professor of Mathematics at Universität Duisburg-Essen, leading the research group AG Optimal Control of Partial Differential Equations. His work focuses on the mathematical analysis and numerical solutions of electromagnetic problems, particularly in superconductivity and inverse problems. He holds a PhD from TU Berlin (2008) and has held academic positions at TU Darmstadt and TU Berlin. His research includes PDE-constrained optimization, numerical analysis, and applications in high-temperature superconductivity and electromagnetic shielding. Affiliations: Universität Duisburg-Essen, Fakultät für Mathematik Education: Diplom (2005), PhD (2008) in Mathematics from TU Berlin Research interests span Maxwell's equations, numerical methods for PDEs, and optimal control, with applications in superconductivity, electromagnetic shielding, and induction heating. He has authored over 40 publications and received awards including the Richard-von-Mises-Preis GAMM (2014). Current grants include DFG-funded projects on inverse problems and superconductivity.

• Optimization and optimal control
• Inverse problems
• Mathematical imaging
• +5 more

Karl Kunisch is a Professor at the Department of Mathematics and Scientific Computing at the University of Graz and serves as Scientific Director of the Radon Institute of the Austrian Academy of Sciences in Linz. With a distinguished career spanning several decades, he has established himself as a leading researcher in optimization and control theory. Prof. Kunisch completed his PhD and Habilitation at the Technical University of Graz in 1978 and 1980, respectively. His academic journey includes significant positions at Brown University's Lefschetz Center for Dynamical Systems, INRIA Rocquencourt, Universite Paris Dauphine, and he previously served as a professor of numerical mathematics at the Technical University of Berlin. Research Interests: Prof. Kunisch's research focuses on optimization and optimal control, inverse problems and mathematical imaging, numerical analysis and applications, with current emphasis on life sciences applications. His specific areas include Optimal Control of Partial Differential Equations, Nonsmooth Optimization in Function Spaces, and Applications of Optimization and Control in the Life Sciences. His work bridges theoretical mathematics with practical applications across various scientific domains. His recent publications demonstrate a continued focus on advancing the theoretical foundations of optimal control while developing practical numerical methods. Key trends include work on infinite horizon control problems, feedback stabilization techniques, applications to PDE-constrained optimization, and the integration of machine learning approaches with traditional control theory. His research group actively explores connections between theoretical developments and applications in the life sciences. Scientific Recognition: W.T. and Idalia Reid Prize 2021 SIAM Fellow (2017) European Research Council Advanced Grant (2015) Alwin Walther Medaille (2008) SIAM Outstanding Paper Prize (2006) Prof. Kunisch has made substantial contributions to the mathematical community through his editorial work, serving as editor for prestigious journals including SIAM Journal on Control and Optimization, SIAM Journal on Numerical Analysis, and the Journal of the European Mathematical Society. He leads the Research Group on Optimization and Optimal Control at the Johann Radon Institute for Computational and Applied Mathematics (RICAM) and is involved in the ERC-Project OCLOC "From Open to Closed Loop Control".

Chikako MeseView profile

Professor

• Differential Geometry
• Geometric Analysis
• Teichmüller Theory
• +5 more

Chikako Mese is a Full Professor in the Department of Mathematics at Johns Hopkins University (JHU), part of the Krieger School of Arts & Sciences. She served as Department Chair (2008-2011) and Director of the Graduate Program (2014-2017, 2018-2019). Her research focuses on differential geometry and geometric analysis , with contributions to harmonic maps, Teichmüller theory, and CAT(k) spaces. She holds a PhD from Stanford University (1996), advised by Richard Schoen. Education: PhD in Mathematics, Stanford University, 1996 M.S., Stanford University, 1993 B.S. in Mathematics & Physics, University of Dayton, 1991 (Summa Cum Laude) Research Interests: Mese explores geometric structures in singular spaces, harmonic maps, and applications to Teichmüller theory. Her work bridges differential geometry with analysis of metric spaces, addressing questions of rigidity, regularity, and variational problems. Notable areas include CAT(k) spaces, minimal surfaces, and Higgs bundles in geometric group theory. Grants & Awards: Fellow of the American Mathematical Society (AMS) Simons Fellowship (2017-2018) Multiple NSF DMS grants (2003–2023) for geometric analysis research Woodrow Wilson Career Enhancement Fellowship (2001-2002) Advising & Mentoring: Mese has advised doctoral students including Benjamin Dees (current), Duncan Sinclair (2014), Jonathan Dahl (2010), and Patrick Zulkowski (2009). She mentors junior faculty and leads research groups in minimal submanifolds at workshops like the Women in Geometry series (Banff 2015, Oaxaca 2019). Labs/Teams: Collaborates with leading institutions globally (e.g., Brown University, CNRS, Tohoku University) on projects involving geometric rigidity, harmonic maps, and moduli spaces. Active in editorial roles, including Notices of the AMS.

• Mathematical Biology
• Evolutionary Ecology
• Nonlinear Partial Differential Equations
• +3 more

Prof. Judith R. Miller is a Professor in the Department of Mathematics and Statistics at Georgetown University, affiliated with the College. Her research integrates mathematical models, particularly partial differential equations (PDEs), to study evolutionary ecology, including the ecological genetics of invasive species and population dynamics under climate change. She specializes in analyzing nonlinear PDEs, integrodifference equations, and nonlinear waves to advance theoretical frameworks and ecological applications. Her work bridges applied mathematics and biology, focusing on species range evolution, trait variance dynamics, and invasion biology. Notable contributions include continuum models for species range shifts and studies on wave pinning in evolutionary systems. While no specific awards or grants are listed, her research highlights interdisciplinary collaboration between mathematics and environmental science. Prof. Miller’s academic contributions span over two decades, with publications addressing topics like mutation survival during invasions, spatially explicit quantitative trait models, and genetic differentiation in heterogeneous environments. Her work emphasizes the interplay between theoretical mathematics and real-world ecological challenges, particularly under climate change scenarios.

Ian TiceView profile

Professor

• Nonlinear Partial Differential Equations
• Fluid Mechanics
• Interfacial Fluid Mechanics
• +6 more

Ian Tice is a Professor in the Department of Mathematical Sciences at Carnegie Mellon University. His research focuses on the analysis of nonlinear partial differential equations, particularly those arising in physics such as interfacial fluid mechanics and the Ginzburg-Landau model of superconductivity. Education: Ph.D. in Mathematics, Courant Institute, New York University Postdoctoral Appointments: Université Paris-Est Créteil, Laboratoire d'Analyse et de Mathématiques Appliquées Postdoctoral Appointments: Brown University, Division of Applied Mathematics Research Interests: Ian Tice specializes in the analysis of nonlinear partial differential equations , with particular focus on free and moving boundary problems , fluid mechanics , and vortices in superconductors . His work often involves the calculus of variations and tools from function space theory . He studies how singularities behave in physical systems, including surfaces of discontinuity in fluids and point singularities known as vortices in superconductors. Recent Research Trends: Professor Tice's recent work has centered on traveling wave solutions to free boundary problems in fluid dynamics, particularly for the Navier-Stokes equations. His research explores well-posedness, stability, and the behavior of solutions under various conditions including vanishing viscosity and surface tension limits. He has developed novel analytical techniques involving anisotropic Sobolev spaces and Nash-Moser implicit function theorems to address these challenging problems. Scientific Awards: Julius Ashkin Teaching Award (2019) NSF CAREER Award Research Support and Mentoring: Professor Tice has mentored numerous students and postdocs in the field of partial differential equations. His research has been supported by prestigious grants including the NSF CAREER Award. He has collaborated extensively with researchers including Yan Guo, Noah Stevenson, and others on fundamental problems in fluid dynamics and mathematical physics. His work has appeared in top journals including Archive for Rational Mechanics and Analysis, SIAM Journal on Mathematical Analysis, and Communications on Pure and Applied Mathematics. Research Environment: Professor Tice is affiliated with the Center for Nonlinear Analysis at Carnegie Mellon University, which provides a vibrant research environment for the study of nonlinear phenomena in mathematics and its applications. His work contributes to the center's mission of advancing the understanding of nonlinear partial differential equations and their applications to physical problems.

Miroslav BulíčekView profile

Associate Professor

• Partial differential equations
• Continuum thermodynamics
• Mathematical modelling
• +3 more

Miroslav Bulíček is an Associate Professor at the Mathematical Institute of the Faculty of Mathematics and Physics, Charles University in Prague, Czech Republic. He has been with Charles University since 2006, progressing from Researcher to Senior Assistant Professor (2012-2021) and currently serving as Associate Professor since January 2022. He is also a Senior Researcher at the University Center for Mathematical Modeling, Applied Analysis and Computational Mathematics (MathMac) since 2014. His educational background includes a habilitation in Mathematics-Mathematical Analysis from Charles University (2021), a Ph.D. in Mathematical and Computational Modeling from Charles University (2003-2006), and a Master's degree in Mathematical modeling in physics and technology from Charles University (1998-2003). Bulíček's research focuses on Partial differential equations, Continuum thermodynamics, and Mathematical modelling . His work primarily addresses the mathematical analysis of nonlinear systems describing flows of incompressible fluids, with particular emphasis on thermodynamically compatible models, implicit constitutive relations, and viscoelastic rate-type fluids. He has made significant contributions to the understanding of existence, uniqueness, and regularity of solutions to complex fluid models, especially those describing far-from-equilibrium systems in continuum thermodynamics. His recent publications demonstrate a strong focus on advanced mathematical analysis of fluid models with applications in material sciences. The research trends show increasing sophistication in handling non-Newtonian fluids, stress-diffusion phenomena, and thermodynamically consistent models. His work bridges pure mathematical analysis with practical applications in continuum mechanics, particularly in the analysis of viscoelastic rate-type fluids with stress diffusion. NEURON Fund for Support of Science Award (2012) for the project "Qualitative analysis of incompressible Navier-Stokes-Fourier equations" Czech Mathematical Society Award for young researchers (2014) for publications during 2009-2013 Bulíček has successfully supervised multiple PhD students including Mark Dostalík, Michael Zelina, Michal Bathory, and Tomáš Los. He serves as principal investigator for the GAČR project 20-11027X "Mathematical analysis of partial differential equations describing far-from-equilibrium open systems in continuum thermodynamics" (2020-present). His research has been supported by various grants including GAČR project 18-12719S, GAČR 16-03230S, and ERC-CZ no. LL1202, demonstrating sustained funding for his research program. He is actively involved in the University Center for Mathematical Modeling (MathMac) and has organized several international conferences and workshops, including the "Modelling, partial differential equations analysis and computational mathematics in material sciences" conference in Prague (2024) and the "Mathematical Aspects of Fluid Flows" EMS School in Kácov (2024), contributing significantly to the mathematical community in fluid dynamics and partial differential equations.

• Fluid structure interaction
• Calculus of Variations
• Partial differential equations
• +1 more

Malte Laurens Kampschulte serves as Assistant Professor at the Department of Mathematical Analysis, Faculty of Mathematics and Physics, Charles University in Prague. He leads research within S. Schwarzacher's fluid structure interaction group and the OP JAK project FerrMion, following his role as Substitute Professor at the University of Leipzig during Summer 2024. His academic credentials include: B.Sc in Mathematics (2009) and Computer Science (2010) from RWTH Aachen M.Sc in Mathematics (2012) from RWTH Aachen Ph.D. in Mathematics (2018) with thesis "Gradient flows and a generalized Wasserstein distance in the space of Cartesian currents" Dr. Kampschulte's research centers on fluid structure interaction, calculus of variations, partial differential equations, and geometric measure theory. His work examines variational aspects of Eulerian-Lagrangian frameworks, relaxation methods for generalized solutions, topological invariants in PDEs, and current transport on manifolds. This integrated approach bridges theoretical analysis with physical applications in continuum mechanics. Analysis of his 2023-2024 publications reveals concentrated focus on three-dimensional fluid-structure systems with viscoelastic solids, compressible fluids, and self-collision phenomena. Key contributions include global weak solution frameworks for contact problems, variational approaches to hyperbolic evolutions, and regularity analysis for free surface dynamics—demonstrating both mathematical rigor and physical relevance. As Principal Investigator for the PRIMUS grant "Qualitative and quantitative Analysis for non-linear non-uniformly elliptic models" (previously held by Anna Balci), he oversees active research funding while mentoring through an open PostDoc position. His leadership extends to the FerrMion project where he develops mathematical frameworks for fluid-matter interactions. Based in the Department of Mathematical Analysis at Charles University, Dr. Kampschulte collaborates within S. Schwarzacher's research group to advance mathematical understanding of fluid-structure systems through both theoretical innovation and computational modeling.

Anne-Laure DalibardView profile

Professor

• Geophysical fluids
• Boundary layers in fluid mechanics
• Congestion models
• +5 more

Anne-Laure Dalibard is a Professor at Sorbonne University's Faculty of Science and Engineering, affiliated with the Jacques-Louis Lions Laboratory (UMR CNRS 7598). She also serves as a Junior member of the Institut Universitaire de France (2020-2025) and was previously a part-time professor at the École Normale Supérieure in Paris (2021-2024). Her research focuses on mathematical analysis of fluid mechanics with applications to geophysical and oceanographic phenomena. Education: Student at ENS Ulm (2001-2005) PhD at CEREMADE, Paris-Dauphine University (defended October 8, 2007) Dalibard's research centers on geophysical fluids, boundary layers in fluid mechanics, congestion models, roughness models, scalar conservation laws, and homogenization theory. She specializes in asymptotic analysis of fluid equations relevant to oceanographic models, particularly those involving rotating fluids and boundary layer phenomena. Her work bridges rigorous mathematical analysis with practical applications in environmental fluid dynamics. Her recent publications demonstrate a consistent focus on boundary layer phenomena in fluid mechanics, with particular emphasis on geophysical applications. She has made significant contributions to understanding boundary layers in rotating fluids, congestion models in Navier-Stokes systems, and wave phenomena in stratified fluids. Her mathematical approach typically involves rigorous analysis of partial differential equations with singular perturbations, often using asymptotic methods, homogenization theory, and kinetic formulations. Scientific Awards: Junior member of the Institut Universitaire de France (2020-2025) Principal Investigator for ERC Starting grant BLOC (2015-2020) Leader of ANR BOURGEONS project (2023-2027) Dalibard leads substantial research initiatives including the ANR BOURGEONS project (2023-2027), which involves over 30 researchers, PhD students, and post-docs working on fluid dynamics aspects relevant to geophysical flows. She has supervised several PhD students including Jean Rax and Gabriela Lopez-Ruiz, and mentored post-doctoral researchers such as Frédéric Marbach, Marc Briant, and Matthew Paddick. Her research has been supported by prestigious grants from the European Research Council and the French National Research Agency. She is actively involved with the Jacques-Louis Lions Laboratory at Sorbonne University and collaborates extensively with researchers across France and internationally. Her work often intersects with oceanographic applications, connecting mathematical theory with environmental fluid dynamics problems.

• Numerical Analysis
• Stochastic Partial Differential Equations
• Computational Physics
• +12 more

Prof. Dr. Lubomir Banas is a full-time Professor at the Faculty of Mathematics , University of Bielefeld. His research focuses on numerical analysis of stochastic partial differential equations (SPDEs) , particularly in micromagnetism, phase field models, and stochastic games. He leads Subproject B03 in the SFB 1283 project 'Taming Uncertainty and Profiting from Randomness and Low Regularity in Analysis, Stochastics and Their Applications.' Research Interests: Numerical methods for SPDEs and singular-degenerate PDEs Adaptive finite element techniques and a posteriori estimates Phase field models (Cahn-Hilliard, obstacle potentials) Stochastic games with asymmetric information Computational micromagnetism and magnetostriction Self-organized criticality and nonlinear stochastic flows Recent work includes: 2025: Numerical approximation of biharmonic wave maps and stochastic games 2024: Sharp interface limits for stochastic Cahn-Hilliard equations 2023: Singular-degenerate SPDEs and a posteriori estimates 2022: Stochastic total variation flow and Hamilton-Jacobi-Bellman equations 2021: Nematic electrolytes and homogenization of two-phase flows He serves on examination boards for Bachelor's and Master's programs in Mathematics and Mathematical Physics, and supervises graduate students within the Bielefeld Graduate School in Theoretical Sciences . His publications (over 30) address convergence analysis, error estimation, and computational modeling in applied mathematics.

Caterina Ida ZeppieriView profile

Associate Professor

• Calculus of Variations
• Partial Differential Equations
• Material Science
• +3 more

Professor Caterina Ida Zeppieri is an Associate Professor at the Institute for Numerical and Applied Mathematics , University of Münster, Germany. Her research focuses on homogenization theory, calculus of variations, and applications in material science. She leads the Analysis and Modelling Research Group , which explores variational methods and their computational implications. Research Interests: Her work centers on stochastic and deterministic homogenization of free-discontinuity problems, Γ-convergence, and the analysis of heterogeneous materials. She investigates mathematical models for fracture mechanics, phase transitions, and plasticity, often employing advanced techniques from calculus of variations and partial differential equations. Recent Contributions: Recent articles address topics such as strong approximation of SBV functions (2025), stochastic homogenization in perforated domains (2024), and gradient damage models (2022). These studies emphasize rigorous mathematical analysis with applications to real-world material behavior. Grants & Collaborations: Zeppieri’s research is supported by grants from the German Research Foundation (DFG), including projects within the Cluster of Excellence 2044 (e.g., C1: Evolution and Asymptotics). She collaborates with institutions globally, advancing interdisciplinary approaches to material modeling. Teaching: She teaches advanced courses like Applied Functional Analysis and Calculus of Variations , and mentors students through seminars and thesis supervision. Her group hosts regular colloquia and workshops, fostering academic exchange in applied mathematics.

• Calculus of Variations
• Continuum Mechanics
• Nonlinear Elasticity
• +5 more

Prof. Dr. Marco Cicalese is a Professor of Mathematical Continuum Mechanics at the Technical University of Munich (TUM), holding a position in the Department of Mathematics within the TUM School of Computation, Information and Technology. He has been at TUM since 2012, following roles as an Assistant Professor at the University of Naples (2005–2012) and a researcher at SISSA (2004–2005). His research focuses on variational analysis of atomistic and continuous systems, multiscale problems, and geometric inequalities. Education: PhD in Applied Mathematics from the University of Naples (2004), MSc in Physics (details not specified). His editorial roles include Associate Editorships at Acta Applicandae Mathematicae and Mathematics in Engineering . Research interests encompass calculus of variations, nonlinear elasticity, and phase transitions, with contributions to discrete-to-continuum limits and stability of geometric inequalities. Teaching includes courses on partial differential equations, calculus of variations, and mathematical modeling. His work often bridges discrete and continuous models, with applications to materials science and continuum mechanics. Recent publications explore topics like Wulff crystal emergence, fractional vortices, and surfactant effects in phase transitions.

• Nonlinear Partial Differential Equations
• Mathematical Physics
• Semiconductor Theory
• +7 more

Ansgar Jüngel is a Full Professor for Analysis of Nonlinear Partial Differential Equations (PDEs) at the Technische Universität Wien (TU Vienna), affiliated with the E101-Institute for Analysis and Scientific Computing. His academic journey includes roles at universities in Berlin, Konstanz, Mainz, and Vienna since 1991. He specializes in mathematical analysis of cross-diffusion systems, entropy methods, semiconductor models, and quantum fluid dynamics. Notable achievements include an ERC Advanced Grant (2021) and the Tsungming-Tu Award (2011). Research focuses on nonlinear PDEs with applications in physics, engineering, and biology, emphasizing rigorous existence theory, numerical methods, and entropy-based approaches. Recent projects include 'Emerging network structures and neuromorphic applications' and 'Taming complexity in partial differential systems.' His teaching includes courses on partial differential equations, calculus of variations, and computational finance. Publications span over 200 works, with key contributions on cross-diffusion models, quantum hydrodynamics, and energy-transport systems. He has supervised numerous PhD students and collaborates internationally on topics like semiconductor simulations and stochastic interacting particle systems. Grants include an FWF Special Research Programme and ERC funding.

Otto FelixView profile

Professor

• Micromagnetics
• Coarsening
• Stochastic Homogenization
• +3 more

Felix Otto is a Professor and Director at the Max Planck Institute for Mathematics in the Sciences (Leipzig, Germany) since 2010. Previously, he held Full Professorships at the University of Bonn (1999–2010) and the University of California, Santa Barbara (1998–1999). His research focuses on applied mathematics, including micromagnetics, coarsening dynamics, stochastic homogenization, and hydrodynamic limits. He has received prestigious awards such as the Gottfried Wilhelm Leibniz Prize (2006) and the Max Planck Research Prize (2001). Education: 1993 PhD in Mathematics (advisor S. Luckhaus), University of Bonn 1990 Diploma in Mathematics (advisor G. Dziuk), University of Bonn Research interests emphasize the interplay between analysis, probability, and physics, particularly in understanding complex systems through rigorous mathematical methods. His work on gradient flows and optimal transport has led to foundational contributions in applied mathematics. Awards: Collatz Prize (2007) Membership in Berlin-Brandenburg Academy (2014) Leopoldina Academy (2008) Professional activities include roles as Editor of Archive for Rational Mechanics and Analysis and advisory roles at institutions like the Weierstrass Institute and Fondation Mathématique Jacques Hadamard.

• Mathematical Analysis
• Partial Differential Equations
• Stochastic Homogenization
• +4 more

Felix Otto is a Director at the Max Planck Institute for Mathematics in the Sciences and an Honorary Professor for Analysis and Mathematical Modeling at the University of Leipzig. His research focuses on pattern formation, energy landscapes, and scaling laws, with contributions to stochastic homogenization, PDEs, and optimal transport. He has held academic positions at the University of California and the Hausdorff Center for Mathematics. Notable grants include projects on microstructure formation in thin coatings and stochastic homogenization. He has organized conferences such as the ICM satellite conference on Probability and Mathematical Physics. His work bridges pure and applied mathematics, with implications for materials science and fluid dynamics. Education: Diplom (1990), PhD (1993) from Bonn University. Postdoctoral roles at Bonn, Courant Institute, and CMU. Tenured faculty roles at UCSB (1998–2010) and Bonn (1999–2010). Research interests span stochastic PDEs, calculus of variations, and the mathematical theory of materials. Grants include BMBF and DFG projects on microstructure modeling and homogenization.