Find Academic Supervisors

• Inverse Problems
• Partial Differential Equations
• Mathematical Physics
• +3 more

Ali Feizmohammadi is an Assistant Professor, Teaching Stream (LTA) in the Department of Mathematics at the University of Toronto Mississauga, affiliated with the Mathematical and Computational Sciences division. His research focuses on inverse problems, partial differential equations, and geometric analysis. He holds a position emphasizing teaching excellence within the university's framework. His work addresses advanced mathematical challenges such as coefficient identification in subdiffusion equations, fractional Laplacian problems on Riemannian manifolds, and nonlinear elliptic equations on manifolds. Recent articles highlight contributions to the Calderón problem in various contexts, wave equation control, and spacetime finite element methods. No scientific awards or grants are explicitly listed in the provided information. He has not yet listed advisees in the available data. His research trends emphasize rigorous mathematical analysis of inverse problems in both classical and fractional PDE frameworks, with applications to geometric and control-theoretic questions. Dr. Feizmohammadi's work spans theoretical advancements in inverse problems, numerical methods for control systems, and the interplay between differential geometry and PDEs. His contributions address both fundamental theory and applied methodologies in mathematical physics and engineering.

Camil MuscaluView profile

Professor

• Harmonic Analysis
• Partial Differential Equations
• Fourier Analysis
• +3 more

Camil Muscalu is a Professor of Mathematics at Cornell University, affiliated with the College of Arts and Sciences. His research focuses on harmonic analysis and partial differential equations, particularly exploring the interplay between Fourier series, singular integrals, and their applications in physics and number theory. He has authored influential works such as Classical and Multilinear Harmonic Analysis with Wilhelm Schlag. Education: Ph.D. in Mathematics from Brown University (2000). Research Interests: Harmonic Analysis Partial Differential Equations Fourier Analysis Operator Theory Functional Analysis Recent Articles: Highlighting contributions to multilinear operators, sparse domination techniques, and the helicoidal method, with applications to estimates for Schrödinger equations and Fourier restriction problems. Collaborations include work with Terence Tao, Christoph Thiele, and Cristina Benea. Advising: Supervised 10+ Ph.D. students, including notable alumni Eyvindur Palsson, Cristina Benea, and Itamar Oliveira. Editorial roles at Communications on Pure and Applied Analysis , Journal of Functional Analysis , and Mathematische Zeitschrift . Labs/Teams: Active in Cornell’s Analysis Seminar and Oliver Club, fostering collaborative research in harmonic analysis and related fields.

Richard NicklView profile

Professor

• Mathematical Statistics
• High-dimensional Inference
• Bayesian Nonparametrics
• +3 more

Richard Nickl is a Professor of Mathematical Statistics at the University of Cambridge, affiliated with the Department of Pure Mathematics and Mathematical Statistics (DPMMS) and the Statistical Laboratory. His research focuses on high-dimensional inference, Bayesian nonparametrics, statistics for partial differential equations, and inverse problems. He has held significant grants, including an ERC Advanced Grant (2024–2029) and an EPSRC Programme Grant (2022–2027). His work bridges statistics, probability, and analysis, with contributions to theoretical foundations and computational methods in non-linear inverse problems. Key research interests include Bayesian posterior consistency, statistical inference for diffusions, and polynomial-time algorithms for high-dimensional posteriors. Notable publications include foundational monographs such as Mathematical foundations of infinite-dimensional statistical models (2016), which earned a PROSE Award, and recent advancements in Bayesian nonparametric inference for McKean-Vlasov models (2025). His group organizes workshops, such as the 2024 Statistical Aspects of Non-Linear Inverse Problems conference. Awards: 2017 PROSE Award in Mathematics. Grants: ERC Advanced Grant, EPSRC Programme Grant. Lab/Team: Research Group in Mathematical Statistics at DPMMS, focusing on inverse problems and Bayesian methodology.

Martin BurgerView profile

Professor

• Inverse Problems
• Applied Mathematics
• Mathematical Modelling
• +15 more

Prof. Dr. Martin Burger is a leading scientist at DESY and a Full Professor in the Department of Mathematics at Universität Hamburg, where he leads the Computational Imaging Group. His research bridges applied mathematics, imaging sciences, and machine learning, with a focus on inverse problems, mathematical modeling, and partial differential equations. He has held professorial positions at Universität Münster and FAU Erlangen-Nürnberg prior to his current dual appointment. Full Professor, Universität Hamburg (2023–present) Leading Scientist, DESY, Hamburg (2023–present) Full Professor, FAU Erlangen-Nürnberg (2018–2023) Full Professor, Universität Münster (2006–2018) His research interests include inverse problems, variational regularization, optimal transport, kinetic models, and mathematical modeling in biology and social sciences. He has made significant contributions to imaging reconstruction, sparse neural networks, and the analysis of transformer architectures. His work often integrates theoretical analysis with computational methods, influencing both pure and applied mathematics. The most recent articles reflect a strong trend toward interdisciplinary applications, combining deep learning with PDE-based modeling, analyzing social and biological systems via kinetic and mean-field models, and advancing mathematical imaging through graph-based and optimal transport methods. His publications span high-impact venues in applied mathematics and computational science. Calderon Prize, Inverse Problems International Association (IPIA) ERC Consolidator Grant (2014) Invited speaker at ECM (2021), ICM (2022), and ICIAM (2023) Editor-in-Chief, European Journal of Applied Mathematics (since 2017) Prof. Burger has supervised numerous PhD students and postdoctoral researchers, many of whom appear as co-authors in his publications. His research is supported by major grants, including funding from the German Federal Ministry of Education and Research (BMBF). He is actively involved in collaborative projects across mathematics, physics, and engineering disciplines. He leads the Computational Imaging Group at DESY, fostering a collaborative environment for developing novel mathematical tools in imaging science. The group works on both theoretical foundations and practical implementations, contributing to advancements in tomography, machine learning, and data analysis.

Giuseppe MingioneView profile

Professor

• Calculus of Variations
• Elliptic Partial Differential Equations
• Parabolic Partial Differential Equations
• +3 more

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.

Katya KrupchykView profile

Professor

• Inverse Problems
• Partial Differential Equations
• Microlocal Analysis
• +3 more

Katya Krupchyk is a Professor in the Department of Mathematics at the University of California, Irvine (UCI). Her research focuses on inverse problems, partial differential equations (PDEs), microlocal analysis, and spectral theory. She holds a position in the Analysis and Partial Differential Equations group at UCI. Her work often involves collaborations with leading institutions and researchers globally, addressing challenges in mathematical physics, geometric inverse problems, and nonlinear analysis. Dr. Krupchyk teaches advanced courses in real analysis, functional analysis, and partial differential equations. She has contributed to editorial boards for journals such as Journal of Spectral Theory , SIAM Journal on Mathematical Analysis , and Inverse Problems and Imaging . Her research spans theoretical and applied aspects of inverse problems, including studies on fractional operators, magnetic Schrödinger equations, and anisotropic media. Recent work emphasizes high-frequency analysis, nonlinear perturbations, and reconstruction algorithms for geometric inverse problems.

Alexander TumanovView profile

Professor

• Several Complex Variables
• Differential Geometry
• Partial Differential Equations
• +3 more

Professor Alexander Tumanov is a faculty member in the Department of Mathematics at the University of Illinois at Urbana-Champaign, affiliated with the College of Liberal Arts & Sciences. He holds the rank of Professor and has been active in research and teaching since at least 2000. His current teaching includes Math 220 Calculus in Fall 2025. Education & Affiliations: His academic career is deeply rooted at the University of Illinois, with no indications of former roles or retirement status. Research Interests: Tumanov specializes in Several Complex Variables, Differential Geometry, and Partial Differential Equations. His work explores topics such as CR mappings, stationary discs, pseudoholomorphic curves, symplectic geometry, and nonlinear PDEs. Notable contributions include studies on automorphism groups of bounded domains, boundary value problems, and applications of Gromov's methods in symplectic topology. Publications: His recent work (2025–2013) focuses on advanced topics like non-linear Lie groups, q-convex manifolds analysis, outer billiards dynamics, and symplectic non-squeezing in infinite dimensions. Earlier contributions include boundary regularity for elliptic equations and minimal energy configurations on spheres. Awards & Grants: No specific awards are listed in the provided materials, though his extensive publication record reflects sustained scholarly impact. No grants or advising data are explicitly mentioned. Labs & Teams: Tumanov collaborates extensively with researchers like A. Sukhov, L. Baracco, and B. Coupet, as evidenced by co-authored papers. His work intersects pure mathematics with geometric analysis and mathematical physics.

• Inverse Problems
• Material Science
• Partial Differential Equations
• +3 more

Angkana Rüland is a Professor at the University of Bonn's Mathematical Institute and holder of the Hausdorff Chair at the Hausdorff Center for Mathematics (HCM), a Cluster of Excellence. She is a member of the Transdisciplinary Research Area ‘Modelling’ and a recipient of the prestigious Leibniz Prize (2025). Her research focuses on inverse problems, fractional PDEs, and phase transformations in materials science, with contributions to the Calderón problem and microstructure analysis. She has held positions at Oxford, the Max Planck Institute in Leipzig, and Heidelberg University before returning to Bonn in 2023. Education: She completed her Abitur, bachelor's/masters, and PhD (2014, Hausdorff Memorial Prize) at the University of Bonn, where she also co-founded the Bonn Math Club. Her academic journey includes postdoctoral research at Oxford and leadership roles in Leipzig and Heidelberg. Research interests span inverse problems (e.g., fractional Calderón problem), material microstructures (shape-memory alloys), and mathematical physics. Her work bridges pure and applied mathematics, addressing questions in elasticity, nonlocal operators, and energy scaling laws. Scientific awards include the Leibniz Prize (2025) for her groundbreaking research and the Hausdorff Memorial Prize for her doctoral thesis. She aims to use Leibniz Prize funds to strengthen her research group at HCM, furthering interdisciplinary collaborations. Her contributions have positioned Bonn as a global leader in mathematical research, with 20 Leibniz laureates since 1986.

Ziqi SunView profile

Professor

• Inverse Problems
• Partial Differential Equations
• Conformal Geometry
• +3 more

Ziqi Sun is a Professor and Chair of the Department of Mathematics, Statistics, and Physics at Wichita State University, affiliated with the Fairmount College of Liberal Arts and Sciences. He earned his PhD in Mathematics from UCLA in 1987. Before joining Wichita State University in 1990, he held positions at the University of Washington. His academic promotions included Associate Professor (1992) and Professor (1997). Research Interests: Dr. Sun focuses on inverse problems in partial differential equations (PDEs), conformal geometry, and nonlinear materials. His work includes solving classical issues in inverse boundary value problems for elliptic equations and inverse scattering theory. He has pioneered geometric frameworks linking nonlinear inverse problems to linear theory, yielding uniqueness results for anisotropic elliptic equations. Key Contributions: Supported by three NSF grants (1990–1998), his research has addressed isotropic/anisotropic Calderon problems and nonlinear elasticity. Current work emphasizes nonlinear inverse boundary value problems in anisotropic media. His collaborations have resolved foundational questions in inverse scattering and vector potential analysis. Awards/Grants: While no named awards are listed, his sustained NSF funding underscores research impact. His academic leadership includes departmental chairmanship, balancing administration with active research and teaching roles.

Brian StreetView profile

Professor

• Mathematics
• Partial Differential Equations
• Singular Integrals
• +7 more

Brian Street is a Professor in the Department of Mathematics at the University of Wisconsin-Madison . He specializes in partial differential equations, harmonic analysis, and geometric analysis, with a focus on subelliptic and multi-parameter singular integral theories. His work extends classical results like the Newlander-Nirenberg theorem and Frobenius theorem to quantitative and boundary settings. Research Highlights: Development of maximal subellipticity theory (2023), generalization of Calderón-Zygmund singular integrals to multi-parameter settings (2011–2013), and novel approaches to hypoelliptic and mixing flow problems. Publications: Authored a monograph on Multi-parameter Singular Integrals (Princeton University Press, 2012) and co-authored influential papers with leading mathematicians in functional analysis and PDEs. Methodologies: Employed techniques from ODEs, PDEs, and harmonic analysis, including wave equation propagation, non-isotropic Sobolev spaces, and diffeomorphism-invariant frameworks.

Winston OuView profile

Associate Professor

• Harmonic analysis
• Mathematical imaging
• Real Analysis
• +3 more

Winston Ou is an Associate Professor of Mathematics and Co-Director at Scripps College. His academic journey includes positions at the University of Chicago (Lecturer, 1993-2001), Indiana University (Visiting Assistant Professor, 2001-2004), Purdue University (Visiting Assistant Professor, 2004-2005), and Keio University (Visiting Researcher, 2005). He holds an A.B. from Princeton University and S.M./Ph.D. from the University of Chicago in Mathematics. His research focuses on harmonic analysis and mathematical imaging, with contributions to weighted norm inequalities, distribution theory, and signal processing. Notable publications include work on Ap weights, ridgelet transforms, and Jones factorization. Ou has received prestigious recognitions such as Scripps College Professor of the Year (2010) and multiple teaching nominations. He teaches advanced mathematics courses like Real Analysis, Complex Analysis, and Calculus, emphasizing interdisciplinary applications in social sciences.

Steve HofmannView profile

Professor

• Harmonic Analysis
• Partial Differential Equations
• Geometric Measure Theory
• +2 more

Steve Hofmann is a Curators Distinguished Professor in the Department of Mathematics at the University of Missouri's College of Arts and Science. His research focuses on the interface of harmonic analysis, partial differential equations, and geometric measure theory, particularly studying how boundary geometry influences PDE solutions through harmonic analysis techniques. Education includes a Ph.D. in Mathematics from the University of Minnesota (1988) and a B.A. in Mathematics from Washington University, St. Louis (1981). Frequently taught courses range from Calculus for Social and Life Sciences to advanced Topics in Harmonic Analysis. Publications demonstrate sustained contributions to harmonic analysis and PDEs, with recent work emphasizing uniform rectifiability, non-symmetric elliptic operators, and applications of Tb theorems. The consistent focus on boundary behavior and operator theory reflects deep engagement with foundational mathematical structures.

Simon AdrianView profile

Professor

• Computational Electromagnetics
• Electromagnetic Integral Equations
• Antenna Design
• +3 more

Prof. Simon Adrian holds the Chair of Theoretical Electrical Engineering at the Institute of General Electrical Engineering, University of Rostock, Germany. His research focuses on computational electromagnetics with critical applications in antenna design, electromagnetic compatibility, and medical technology. He serves as Associate Editor for the IEEE Transactions on Antennas and Propagation and contributes to the IEEE Antennas and Propagation Society Education Committee, demonstrating significant academic leadership in the global electromagnetics community. His primary research addresses low-frequency instability challenges in electromagnetic integral equations through innovative numerical techniques. Key areas include Calderón preconditioners, quasi-Helmholtz projectors, B-spline discretizations, and adaptive cross approximation methods. These approaches enable robust simulations across diverse applications from radar systems and antenna design to biomedical problems like deep brain stimulation and electroencephalography. Recent work emphasizes broadband stability and efficient solvers for multiply-connected geometries. Analysis of Prof. Adrian's publication trends (2023-2025) reveals a concentrated effort on overcoming fundamental limitations in electromagnetic modeling. His work consistently targets low-frequency regimes where traditional methods fail, developing mathematically rigorous stabilization techniques while expanding into biomedical applications. The integration of isogeometric analysis with specialized discretization strategies represents a cutting-edge direction in computational electromagnetics. Professional engagement includes active membership in the Institute of Electrical and Electronics Engineers (IEEE), IEEE Antennas and Propagation Society, and Union Radio-Scientifique Internationale (URSI), reflecting his commitment to advancing the field through collaborative research and scholarly communication.

• Antennas and propagation
• Applied electromagnetics
• Boundary element methods
• +7 more

Francesco Paolo Andriulli is a Full Professor at the Department of Electronics and Telecommunications within the College of Electronic, Telecommunications and Physics Engineering at Polytechnic University of Turin. His research focuses on advanced computational methods in electromagnetics with applications spanning from antenna design to medical imaging. His primary research interests include: Antennas and propagation Applied electromagnetics Boundary element methods Electromagnetics based neuroimaging Integral equations Electromagnetic imaging Radiation and antennas Computational Electromagnetics Professor Andriulli's recent publications demonstrate a strong focus on developing novel computational techniques for solving electromagnetic problems. His work particularly emphasizes operator filtering strategies, preconditioning methods, and regularization techniques that address longstanding challenges in computational electromagnetics, especially at low frequencies and for complex geometries. His research bridges theoretical mathematics with practical engineering applications in communications, medical imaging, and signal processing. His notable awards include: IEEE Fellow (2023) EurAAP Leopold B. Felsen Award for Excellence in Electrodynamics (2015) URSI Issac Koga Gold Medal (2014) IEEE AP-S Donald G. Dudley Jr. Undergraduate Teaching Award (2014) Professor Andriulli actively mentors numerous PhD students and leads several major research initiatives. He serves as Principal Investigator for multiple competitive research grants including ERC, EIC, and PRIN projects with total funding spanning from 2017 to 2026. His current projects focus on developing advanced computational tools for brain imaging, electromagnetic sensing, and industrial applications. He has held editorial positions for leading journals including IEEE Transactions on Antennas and Propagation and serves as Editor-in-Chief for IEEE Antennas and Propagation Magazine. He is an active member of the Applied Electromagnetics research group at Politecnico di Torin, where he collaborates with interdisciplinary teams to advance computational methods for electromagnetic problems across medicine, communications, and engineering domains.

Tuomas OrponenView profile

Associate Professor

• Geometric Measure Theory
• Harmonic Analysis
• Fractal Geometry
• +4 more

Tuomas Orponen is an Associate Professor in the Department of Mathematics and Statistics at the University of Jyväskylä, Faculty of Mathematics and Science. His research focuses on geometric measure theory, harmonic analysis, and fractal geometry, with particular interests in incidence geometry, Fourier analysis, and metric geometry. Orponen is affiliated with the research groups for Nonlinear Partial Differential Equations and Geometric Measure Theory and Harmonic Analysis. His work explores topics such as projections of fractal sets, additive properties of fractal configurations, and geometric incidence problems. He leads projects in approximate incidence geometry, multi-scale incidence geometry, and incidences on fractals. His research trends include advancing understanding of geometric and analytic properties of fractals, exploring connections between incidence geometry and harmonic analysis, and studying the interplay between discrete and continuous geometric structures. Recent articles highlight investigations into radial projections, Kakeya-type sets, and the discretised ABC sum-product problem. Orponen has no listed scientific awards but has contributed to significant collaborative projects, including studies on Heisenberg group geometries and singular integrals. He actively publishes in top journals such as Transactions of the American Mathematical Society and Geometric and Functional Analysis. His research is anchored in two core teams: the Nonlinear PDE group and the Geometric Measure Theory team, reflecting his dual focus on analytical and geometric methodologies.