Svitlana Mayboroda is a Professor of Mathematics at ETH Zurich and the McKnight Presidential Professor at the University of Minnesota. Her research focuses on partial differential equations, harmonic analysis, and wave localization phenomena. University of Minnesota: School of Mathematics, 127 Vincent Hall, Minneapolis, MN ETH Zurich: Department of Mathematics, Ramistrasse 101, Zurich Research Interests: Analysis and partial differential equations Wave localization and Anderson localization Elliptic theory on non-smooth and lower-dimensional domains Harmonic measure and geometric measure theory Applications to quantum mechanics and semiconductor physics Recent Publications: Her 2023-2022 works investigate Anderson mobility edges, landscape functions in spectral theory, regularity problems for elliptic operators, and Green function estimates. Key themes include localization landscape theory, uniformly rectifiable domains, and spectral analysis of disordered systems. Grants & Collaborations: Simons Collaboration on Localization of Waves (Director, 2018–2025, $14M) NSF RAISE–TAQS grant ($1M) Academic Leadership: She has organized numerous conferences and workshops, including annual meetings of the Simons Collaboration on Wave Localization (2020–2024) and programs at MSRI and PCMI. Her mentorship includes postdocs and PhD students working on elliptic theory, spectral problems, and applied mathematical physics.
Christopher Deninger is a distinguished Professor in the Mathematical Institute at the University of Münster, Germany, where he leads research in Arithmetic Geometry and Representation Theory. His office is located in Room 413 of the Einsteinstr. 62 building, and he maintains active teaching responsibilities including courses in Representation Theory of Finite Groups, Linear Algebra, and specialized topics like Adic Spaces. Deninger's research spans multiple interconnected domains of modern mathematics, with a consistent focus on the deep connections between number theory and geometry. His work has evolved from classical arithmetic geometry to incorporate increasingly sophisticated connections with p-adic analysis, dynamical systems, and more recently proalgebraic fundamental groups. A unifying theme throughout his career has been exploring analogies between different mathematical structures, particularly those connecting analytic number theory with dynamical systems on foliated spaces. His recent publications reveal a continued expansion of his research program into new territories while maintaining connections to his foundational work. The most recent papers show increasing integration of algebraic topology concepts with arithmetic geometry, particularly through proalgebraic fundamental groups and their applications. The consistent thread throughout his decades of publications is the search for deeper structural connections between seemingly disparate areas of mathematics, particularly those bridging analysis, geometry and number theory. Professor Deninger has mentored an extensive number of doctoral students and postdoctoral researchers, as evidenced by the comprehensive list of former members in his working group. His collaborations span the international mathematical community, with numerous joint publications with leading mathematicians across Europe and beyond. While specific grant information isn't detailed in the available materials, his sustained publication record across decades suggests consistent research support for his mathematical investigations. The Mathematical Institute at Münster provides the institutional home for Deninger's research activities, where he maintains an active working group focused on arithmetic geometry and related fields. His office environment includes support staff and colleagues working in closely related mathematical domains, creating a vibrant research community centered around advanced topics in pure mathematics.
Esa Ollila serves as Associate Professor in the Department of Signal Processing and Acoustics at Aalto University, Finland, and holds an adjunct professorship in Statistics at the University of Oulu. His academic appointments include Academy of Finland Research Fellow (2010-2015) and prior senior research/lecturing roles at both institutions. His educational background features: M.Sc. in Mathematics, University of Oulu (1998) Ph.D. in Statistics (with honors), University of Jyväskylä (2002) D.Sc.(Tech) in Signal Processing (with honors), Aalto University (2010) Professor Ollila's research centers on statistical signal processing and robust statistical methodologies , with significant contributions to array processing, high-dimensional data analysis, and covariance matrix estimation. His work bridges theoretical statistics with practical applications in radar systems, wireless communications, and big data analytics, emphasizing robustness against outliers and computational efficiency in modern data-intensive environments. Current focus areas include compressed sensing, sparse approximation, and blind source separation techniques. Analysis of his 15 most recent publications (2024-2025) reveals three dominant trends: (1) robust covariance learning for massive random access systems, (2) integrated sensing and communications (ISAC) for 6G networks using advanced beamforming, and (3) geometric approaches to elliptical distributions in statistical inference. His work increasingly incorporates deep learning (GANs, graph neural networks) while maintaining strong foundations in classical signal processing theory. Key recognitions include: Academy of Finland Postdoctoral Fellowship (2004-2007) Academy of Finland Research Fellowship (2010-2015) His research has been supported through prestigious Academy of Finland grants totaling over a decade of continuous funding. Professor Ollila currently leads an active research group at Aalto University, supervising doctoral candidates and collaborating internationally with institutions including Princeton University (where he served as Visiting Post-doctoral Research Associate during 2010-2011). He maintains strong ties with the University of Oulu through his adjunct professorship and has contributed to EURASIP's Special Area Team on Theoretical and Methodological Trends in Signal Processing. The Esa Ollila Research Group focuses on cutting-edge challenges in statistical signal processing, with current projects spanning robust DOA estimation under non-Gaussian noise, covariance matrix learning for massive MIMO systems, and machine learning-enhanced radar-communication integration. The group actively develops open-source tools like the fitHeavyTail R package for heavy-tailed distribution modeling and maintains collaborations with industry partners in wireless communications.
Dr. Masoumeh Dashti is an Associate Professor in Mathematics at the University of Sussex, UK, affiliated with the School of Mathematical and Physical Sciences. She holds a PhD in Mathematics from the University of Warwick (2008) and prior degrees in Mechanical Engineering from Sharif University of Technology and Tehran Polytechnic. Her research focuses on Partial Differential Equations, Inverse Problems, Bayesian Inference, and their applications in fluid dynamics and epidemiology. Key research interests include: Bayesian approaches to inverse problems, sparsity-promoting estimators, uncertainty quantification, and mathematical modeling of epidemics on networks. She has contributed to foundational work on Besov priors and MAP estimator consistency in nonparametric Bayesian frameworks. Her publications span topics like network inference from epidemic data, contraction rates of posterior distributions, and fluid-structure interaction problems. She has secured grants including 'Two-dimensional stochastically perturbed shallow water equations' (2019-2023) and 'Confronting High Dimensional Network Models With Data' (2018-2022). Currently, she serves as an Associate Editor for SIAM-ASA Journal on Uncertainty Quantification and AIMS Foundations of Data Science . Teaching expertise includes Functional Analysis, Partial Differential Equations, and Calculus of Several Variables at both undergraduate and postgraduate levels.
Bernardo Cockburn is a Distinguished McKnight University Professor in the School of Mathematics at the University of Minnesota. He has been a faculty member since 1987, progressing from Assistant Professor to Associate Professor in 1992, and achieving full Professor status in 1997. He also held positions as an Affiliate Professor at the University of Delaware (2019-2020) and Chair Professor of Mathematics at King Fahd University of Petroleum and Minerals in Saudi Arabia (2012-2014). Education: Ph.D. from University of Chicago (1986), Doctorat de 3eme Cycle from University of Paris VI/INRIA (1983), Masters and Licenciatura from Universidad Nacional de Ingenieria in Lima, Peru Research Focus: Numerical methods for partial differential equations, particularly discontinuous Galerkin methods Cockburn's research primarily centers on the devising and analysis of efficient methods for numerically solving linear and nonlinear partial differential equations . His most significant contribution has been in the development and analysis of discontinuous Galerkin methods , particularly the hybridizable discontinuous Galerkin (HDG) methods which he pioneered. His work spans error estimation for hyperbolic problems, continuous dependence for Hamilton-Jacobi equations, and numerous applications across fluid dynamics, structural mechanics, and electromagnetics. He has developed theoretical frameworks for superconvergence properties and created practical algorithms for a wide range of engineering applications. Analysis of his recent publications reveals a strong focus on hybridizable discontinuous Galerkin methods , with significant contributions to superconvergence theory, error estimation, and applications to diverse physical problems including Stokes flow, linear elasticity, Timoshenko beams, and convection-diffusion problems. His work demonstrates a clear trajectory from theoretical foundations to practical implementation, with increasing emphasis on curved domains, adaptive methods, and coupling techniques between different numerical approaches. Doctor Honoris Causa from Universidad Nacional de Ingenieria, Lima, Peru (2013) Invited Speaker at the International Congress of Mathematicians, Numerical Analysis Section (2010) Distinguished McKnight University Professor, University of Minnesota (2007) Cockburn has supervised an impressive 23 PhD students throughout his career, many of whom have gone on to become professors at major universities worldwide including the University of Puerto Rico, Purdue University, and University of Concepcion in Chile. His advisees have produced significant research in discontinuous Galerkin methods, particularly in applications to structural mechanics, fluid dynamics, and Hamilton-Jacobi equations. His research has been supported by numerous grants from the National Science Foundation and other funding agencies, enabling extensive collaboration with researchers across the United States and internationally. Cockburn leads a vibrant research group focused on computational mathematics, with particular emphasis on developing and analyzing discontinuous Galerkin methods. His work has fostered significant collaboration between mathematicians and engineers, with applications spanning aerospace, civil engineering, and materials science. The research group maintains strong connections with institutions worldwide, including regular collaborations with researchers in Peru, Chile, and Europe, reflecting Cockburn's international background and influence.
Jennifer Ryan is a Professor of Numerical Analysis and Division Head of Numerical Analysis, Optimization, and Systems Theory at the Department of Mathematics, KTH Royal Institute of Technology. Her research focuses on designing and developing numerical schemes to extract accuracy from simulations, particularly through superconvergence properties and computational efficiency improvements. She applies these techniques to applications such as imaging, fluid visualization, and plasma dynamics. Education: PhD in Applied Mathematics, Brown University; MS in Mathematics, Courant Institute; BA in Applied Mathematics, Rutgers University. Professional Activities: Member of editorial boards for BIT Numerical Mathematics, ESAIM:M2AN, and Communications on Applied Mathematics and Computation; Steering committee member of AWM's Women in Numerical Analysis and Scientific Computing (WINASc). Her publications emphasize discontinuous Galerkin methods, SIAC filtering, and applications in fluid dynamics. She has served on multiple grant review panels and received awards for diversity and inclusion initiatives. Grants: Principal Investigator for projects funded by the Swedish Research Council, NSF, and US Air Force Office of Scientific Research. Awards: Fellow of UK Higher Education Academy, DAAD Fellowship, and Householder Fellowship.
Professor Tony Shardlow is affiliated with the Department of Mathematical Sciences at the University of Bath , UK. His research spans Stochastic Differential Equations , Bayesian Inverse Problems , Statistical Shape Modelling , and Numerical Analysis , with applications in data science, medical imaging, and computational physics. Labs/Teams : IMI (Institute for Mathematical Innovation), Prob-L@b (Probability Laboratory at Bath), SAMBa (EPSRC Centre for Doctoral Training in Statistical Applied Mathematics). Recent Research Trends : Focus on geometric shape analysis using flow fields, stochastic PDEs for particle dynamics, and Bayesian inference techniques in industrial and medical contexts. Collaborative work bridges computational mathematics with applications in hip dysplasia assessment and pesticide delivery systems. Advising : Supervised Fengpei Wang's PhD thesis on dimension reduction and Sinkhorn algorithms. Collaborates with researchers like N. D. F. Campbell and C. Poon. Teaching : Offers MA30170 - Numerical Solution of Elliptic PDEs.
Francesca Da Lio is a Professor at the Department of Mathematics, ETH Zurich, where she has held a titular professorship since 2014. Her research focuses on nonlinear elliptic and parabolic partial differential equations (PDEs), with applications in stochastic and deterministic optimal control, homogenization, front propagation, and geometric analysis. She has pioneered work on conformally invariant variational problems and nonlocal PDEs, including fractional harmonic maps and stability analysis for critical points. PhD in Mathematics (1998) and Summa Cum Laude Degree in Mathematics (1994) from University of Padova. Her research explores the interplay between nonlinearity and non-locality, particularly in problems arising from geometry, mathematical finance, and physics. She has led major Swiss National Fund (SNF) projects, including grants for geometric analysis and conformally invariant variational theory. Her work on 3-commutators, integrability by compensation, and Morse index stability has advanced the understanding of harmonic maps and elliptic systems. Francesca Da Lio has mentored numerous PhD, postdoctoral, and Master/Bachelor students, including Dominik Schlagenhauf, Jerome Wettstein, and Ali Hyder. She has served on hiring committees for full professorships at ETH Zurich and co-organized international conferences such as 'Recent Advances in Nonlocal and Nonlinear Analysis' and 'Topics in Sub-Elliptic PDEs.' Scientific Awards: Italian Scientific Qualification as Full Professor in Mathematical Analysis (2013). She contributes to editorial boards, including Advances in Calculus of Variations , and participates in academic services like refereeing for SNF projects and international journals.
Associate Professor Jiakun Liu (FAustMS) is affiliated with the School of Mathematics and Statistics, University of Sydney . He holds a BSc from Zhejiang University (2006) and a PhD from the Australian National University (2010). Following a Simons Postdoctoral Fellowship at Princeton (2010-2013), he served as Lecturer, Senior Lecturer, and Associate Professor at the University of Wollongong (2013-2024), securing an ARC DECRA in 2014 and an ARC Future Fellowship in 2024. Specializes in nonlinear elliptic/parabolic PDEs with applications in geometry and optimal transportation Research focuses on Monge-Ampère/Hessian equations , regularity theory, and geometric flows Contributions to convex geometry , minimal surfaces, and stochastic PDEs . His 2024-2023 publications in Communications on Pure and Applied Mathematics , Advanced Nonlinear Studies , and Archive for Rational Mechanics demonstrate expertise in free boundary regularity , noncompact Minkowski problems , and global geometric analysis . Recognized with ARC Future Fellowship and conferences organized across Australia-China collaborations.
Daniela De Silva is the Olin Professor of Mathematics and Chair of the Department of Mathematics at Barnard College, Columbia University. She holds a B.A. from the University of Naples Federico II and a Ph.D. from the Massachusetts Institute of Technology (MIT). Her research focuses on partial differential equations (PDEs), particularly free boundary problems and geometric analysis. She teaches advanced courses such as Calculus and Analysis at Barnard and organizes the Geometry and Analysis seminar at Columbia University. Her work explores regularity theory for free boundaries, phase transitions, and harmonic analysis. Notably, her contributions include studies on energy-minimizing free boundaries and monotonicity formulas. De Silva has also contributed to nonlinear Schrödinger equations and has held academic positions at institutions like Johns Hopkins University and MIT before joining Barnard in 2007. Her research interests span theoretical and applied aspects of PDEs, with a focus on geometric implications and singularities. While her work has been featured in prestigious journals like Comm. on Pure and Applied Math , Duke Math. J. , and Indiana Univ. Math. J. , she remains active in academic outreach, including discussions on topics like the mathematics of melting ice and the significance of π in popular media.
Francesco Caravenna is a Full Professor at the Department of Mathematics and Applications of the University of Milan-Bicocca. His research focuses on Probability Theory and Mathematical Statistics, particularly in stochastic processes, disordered systems, and scaling limits. Editorial Roles: Associate Editor for The Annals of Applied Probability (2019) and Annales de l'Institut Henri Poincaré-Probabilités et Statistiques (2018). His recent work includes studies on the critical 2D stochastic heat flow, directed polymers, and the interplay between disorder and criticality. Publications emphasize rigorous mathematical analysis of stochastic partial differential equations, Gaussian multiplicative chaos, and universal scaling properties. He has received grants from MIUR and the Italian-French University (UniTO) for projects like Random Walks and Polymers (2019) and Large Scale Random Structures (2016). Scientific Awards: Fubini Award (2011), Mario Boella High School, with the Polymath Project and Subalpine Mathesis Association. His contributions span stochastic analysis, disordered systems, and interdisciplinary applications in statistical mechanics and financial modeling. Key themes include pathwise analysis, multiscale behavior, and critical phenomena in random systems.
Giuseppe Mingione is a Full Professor in the Department of Mathematical, Physical and Computer Sciences at the University of Parma, Italy. His research spans Calculus of Variations , Elliptic and Parabolic PDEs , and Nonlinear Potential Theory . He has delivered over 25 lecture series and 180+ invited talks globally. PhD in Mathematics, University of Naples Federico II (1999) Degree in Mathematics, University of Naples Federico II (1994) His work focuses on regularity theory for nonlinear PDEs, nonuniform ellipticity, and geometric analysis. Publications include breakthroughs in Schauder estimates, double phase problems, and nonlocal systems. He has received the Amerio Prize (2016) , Caccioppoli Prize (2010) , and Stampacchia Medal (2006) . Recent articles address nonuniform ellipticity, nonlocal PDEs, and gradient regularity. Awards include the Order of the Merit of the Italian Republic (2017) and Von Staudt Chair (2004) . He serves on editorial boards for international journals.
Cristiana De Filippis serves as Associate Professor in the Department of Mathematical, Physical and Computer Sciences at the University of Parma. Her academic journey includes a Bachelor's degree from the University of Torino (2014), Master's from University of Milano-Bicocca (2016), and PhD from the University of Oxford (2020), followed by a tenure-track position at Parma since 2021 and habilitation to full professorship in 2023. Her research focuses on Mathematical Analysis , particularly Regularity Theory for elliptic and parabolic partial differential equations and the Calculus of Variations . She investigates fundamental properties of solutions to nonlinear PDEs, including sharp growth conditions, nonuniform ellipticity, and double-phase functionals. Her work bridges abstract mathematical theory with applications in physics and engineering through rigorous analysis of solution behavior. Analysis of her 15 most recent publications reveals a concentrated research program in nonuniformly elliptic systems (2022-2025), double-phase variational problems (2023-2024), and gradient regularity under irregular coefficients (2020-2024). Key contributions include establishing sharp growth rates in Schauder theory and developing novel techniques for nearly linear growth conditions. European Mathematical Society Prize 2024 Bartolozzi Prize 2023 (Italian Mathematical Union) Iapichino Prize 2020 (Accademia dei Lincei) Premio per la Cultura Mediterranea 2023 G-Research Prize 2019 Forbes 100 Most Successful Italian Women 2023 European Mathematical Society Young Academy (inaugural cohort) Professor De Filippis has delivered invited lectures at prestigious institutions including Erwin Schrödinger Institute (2025), Charles University Prague (2024), and Accademia Nazionale dei Lincei (2022). She teaches Mathematical Analysis courses for Computer Science, Geological Sciences, and Management Engineering programs at undergraduate level. Her research is supported through multiple international collaborations, particularly with Giuseppe Mingione at Parma and researchers at European institutions.
Robin Neumayer is an Assistant Professor in the Department of Mathematical Sciences at Carnegie Mellon University. Her research focuses on the intersection of calculus of variations, partial differential equations (PDE), and geometric analysis, with a particular emphasis on stability and regularity in geometric inequalities. Education: Ph.D. in Mathematics, University of Texas at Austin, supervised by Alessio Figalli and Francesco Maggi. Her work explores problems related to Sobolev inequalities, isoperimetric problems, scalar curvature, and free boundary phenomena. Recent publications highlight collaborations with leading researchers and address topics such as quantitative stability, anisotropic geometries, and nonlinear PDE. Scientific Awards and Fellowships: NSF Grant DMS-2155054 (2022-2025) RTG Postdoctoral Fellow at Northwestern University (2017-18, 2019-21) Institute for Advanced Study member (2018-19) She teaches courses such as Introduction to Differential Equations and maintains active research collaborations with institutions like the Center for Nonlinear Analysis.
Camillo De Lellis is the IBM von Neumann Professor at the School of Mathematics , Institute for Advanced Study (since 2019). Previously, he was a Full Professor at the University of Zürich (2005–2018) and held positions at ETH Zürich, Max Planck Institute, and University of Zürich. Education : PhD in Mathematics (2002), Scuola Normale Superiore di Pisa ; Laurea in Mathematics (1999), University of Pisa . His research lies at the intersection of Geometry , Analysis , and Partial Differential Equations , with groundbreaking work in geometric measure theory , fluid dynamics , and calculus of variations . Recent publications focus on Euler/Navier-Stokes equations , area-minimizing currents , and free boundary problems . Key trends in his work include nonuniqueness phenomena in fluid dynamics, fine structure of singularities in geometric measure theory, and rectifiability criteria for varifolds and currents. His research bridges pure and applied mathematics, impacting mathematical physics and continuum mechanics. Scientific Awards : Bôcher Memorial Prize (2020) Feltrinelli Prize in Mathematics, Mechanics and Applications (2021) Maryam Mirzakhani Prize (2022) Caccioppoli Prize (2014), Amerio Prize (2015) He serves on editorial boards for Annals of PDE , Inventiones Mathematicae , and Journal of Differential Geometry . No students or lab affiliations are explicitly mentioned in the scraped text.
