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Salvatore Angelo MaranoView profile

Professor

• Mathematical Analysis
• Differential Equations
• Partial Differential Inclusions
• +6 more

Salvatore Angelo Marano is a Full Professor of Mathematical Analysis at the University of Catania, affiliated with the Department of Mathematics and Computer Science since 2001. He graduated in Mathematics from the University of Catania in 1987 and has authored approximately 100 research papers in international mathematics journals. His research spans: Differential equations/inclusions and fixed point theory Critical point theory for non-smooth functions on convex sets Elliptic boundary value problems (Dirichlet, Neumann, Robin) p-Laplacian and (p,q)-Laplacian equations Fractional operators and Sobolev embeddings Variational-hemivariational inequalities Recent publications (2019-2025) focus on singular systems, fractional operators, quasilinear convection problems, and multi-solution phenomena in nonlinear PDEs. His work consistently employs variational methods, truncation techniques, and critical point theory. Awards include: Foundation 'Francesco Severi' Prize (1991) Gioenia Academy Young Researcher Prize (1989) He collaborates internationally with researchers in Poland, Portugal, France, Greece, USA, and Algeria, and serves on editorial boards of journals including Nonlinear Analysis: Real World Applications and Discussiones Mathematicae .

• Mathematical Analysis
• Applied Mathematics
• Homogenization
• +4 more

Carmen Perugia is an Associate Professor in the Department of Science and Technology (DST) at the University of Sannio . Her academic career spans both Mathematical Analysis and Earth Sciences , with a focus on homogenization , control theory , and paleoclimatic reconstruction using coccolithophore assemblages . Teaching: Mathematics and Computer Science for Biology, Geology, and Biotechnology students. Research: Combines partial differential equations with marine paleoceanography , linking mathematical modeling to climate change analysis. Publication Trends reveal dual expertise: 1) mathematical analysis of degenerate elliptic equations , Bingham flows , and Ginzburg-Landau models , and 2) paleoclimatic studies using coccolithophore proxies to analyze North Atlantic and Mediterranean Sea dynamics over the last 30 ka. Her homogenization research addresses imperfect interfaces and oscillating boundaries , while her control theory work derives observability inequalities for hyperbolic equations . Collaborations include international researchers from Finland , Germany , India , and Portugal . Her teaching emphasizes mathematical foundations for biological and geological applications , with office hours by appointment on Tuesdays and Thursdays .

Andreas Paul Eberhard KloecknerView profile

Associate Professor

• Scientific Computing
• Parallel Computing
• Numerical Techniques
• +7 more

Andreas Paul Eberhard Kloeckner is an Associate Professor in the Department of Computer Science at the University of Illinois at Urbana-Champaign (UIUC), where he has been serving since 2013 (promoted to Associate Professor in 2019). He also holds an affiliate faculty appointment in the Department of Electrical and Computer Engineering since 2016. His academic journey includes a PhD in Applied Mathematics from Brown University (2010), an MSc from Brown University (2006), and a Diplom in Applied Mathematics from Universität Karlsruhe (2005). Prior to joining UIUC, he was a Courant Instructor at the Courant Institute of Mathematical Sciences at New York University. Dr. Kloeckner's research focuses on high-order accurate integral equation methods, fast algorithms for elliptic boundary value problems, and code transformation for high-performance scientific computing. His work bridges mathematical theory with practical implementation, with particular emphasis on GPU computing and parallel architectures. He has made significant contributions to the development of open-source scientific software, most notably PyCUDA and PyOpenCL, which have become widely used tools in the scientific computing community. His publication record shows a consistent focus on advancing numerical methods for scientific computing, with recent work emphasizing code generation techniques, fast integral equation solvers, and optimization of algorithms for modern hardware architectures. The trajectory of his publications reveals a progression from foundational work on GPU-based discontinuous Galerkin methods toward increasingly sophisticated approaches for integral equation methods and automatic code generation. Among his notable recognitions is the 2017 National Science Foundation CAREER Award, which supports his work on general-purpose, high-order integral equation methods for computer simulation in engineering. His research has been published in prestigious venues including SIAM Journal on Scientific Computing and has influenced both academic research and practical applications in scientific computing. Dr. Kloeckner has advised numerous graduate students through completion of their PhD and MS degrees, with alumni moving to positions at Apple, NVIDIA, Rice University, and other leading institutions. His research group maintains an active portfolio of open-source software projects that advance the state of scientific computing infrastructure.

Zdzisław DzedzejView profile

Associate Professor

• Topology
• Differential Equations
• Dynamical Systems
• +4 more

Zdzisław Dzedzej serves as an Associate Professor at the Institute of Applied Mathematics within the Faculty of Applied Physics and Mathematics at Gdańsk University of Technology. His office is located in Building B, room 611, and he maintains active research and teaching responsibilities at the institution. Dr. Dzedzej's research centers on topological methods in differential equations and dynamical systems. His primary areas of investigation include Conley index theory, equivariant degree theory, multivalued mappings, and bifurcation analysis. His work frequently applies sophisticated topological tools like the Borsuk-Ulam theorem to address challenging problems in nonlinear analysis and differential equations. He has demonstrated sustained scholarly productivity with multiple publications appearing in 2020 across reputable mathematics journals. His publication record reveals a consistent research trajectory spanning over two decades, with significant contributions to the theoretical foundations of topological methods in nonlinear analysis. The publications demonstrate his expertise in applying abstract topological concepts to concrete problems in differential equations and dynamical systems, particularly through the development and application of equivariant degree theory and Conley index techniques. Dr. Dzedzej is affiliated with the Gdańsk topology research group, as evidenced by his 2017 review article documenting the research achievements of mathematicians associated with both the University and Gdańsk University of Technology. His scholarly work appears in respected journals including Topology and its Applications, Journal of Fixed Point Theory and Applications, and Banach Center Publications. His teaching portfolio includes 182 teaching activities according to institutional records, indicating substantial contribution to academic instruction at Gdańsk University of Technology. While specific details about research grants or leadership roles aren't provided in the available materials, his publication record suggests active engagement in mathematical research collaboration, particularly with co-authors like T. Gzella and W. Kryszewski.

• Mathematical Physics
• Quantum Integrable Systems
• Algebraic Geometry
• +4 more

Paul Zinn-Justin is a Professor in Mathematical Physics at the School of Mathematics and Statistics . His research spans the intersection of quantum integrable systems , algebraic geometry , and combinatorics , with a focus on connections between these fields. Education: PhD and Habilitation from Universite Pierre et Marie Curie (Paris VI) Recent projects include Shuffle Algebras and Vertex Models (2024-2027) and Elliptic Schubert Calculus (2021-2026), funded by ARC, NHMRC, and MRFF grants . His work applies lattice models and quantum algebra to problems in symmetric function theory and Schubert calculus. Paul contributes to computational algebra through the CotangentSchubert Macaulay2 package (2024), enabling computation of motivic Chern and Segre classes of Schubert cells. His scholarly output includes over 93 works, with recent emphasis on exactly solvable lattice models, shuffle algebras, and quantum group structures.

• Algebra
• Number Theory
• Mathematics
• +1 more

Bart de Smit is a Professor of Algebra and Number Theory at the Mathematical Institute of Leiden University's Faculty of Science. He serves as Vice Dean and Director of Education for the Faculty of Science, where as a member of the Faculty Board he is responsible for bachelor's and master's education within the faculty. His research spans multiple domains in mathematics with a distinctive focus on: Algebraic Number Theory Geometric Transformations Mathematical Analysis of Visual Art Conformal Mappings and Symmetry De Smit is internationally recognized for his groundbreaking work on Escher's Print Gallery , where he applied mathematical principles to analyze and complete Escher's artwork that contained a mysterious blank spot. His research revealed the mathematical structure behind what's now known as the 'Droste effect' in Escher's work - a recursive visual phenomenon involving scaling symmetry. This interdisciplinary research culminated in a significant publication in the Notices of the American Mathematical Society in 2003. The publication and related work demonstrate de Smit's innovative approach that bridges pure mathematics with visual arts, using a five-step mathematical process to unravel, redesign, tile, convert, and complete Escher's work. His methodology combined complex analysis, image processing, and geometric transformations to solve what had been an artistic mystery. As an academic leader, de Smit oversees educational programs while maintaining active research involvement with the ALGANT (Algebra, Geometry, And Number Theory) program and the Intercity seminar ABC focusing on the ABC conjecture. His academic mentorship includes supervising PhD candidates such as Pavel Solomatin and Qijun Yan in advanced mathematical research.

Marco StrengView profile

Associate Professor

• Number Theory
• Algebra
• Geometry
• +5 more

Marco Streng is an Associate Professor and PhD director at the Mathematical Institute of Leiden University. His research focuses on the intersection of number theory, algebra, and geometry with applications to cryptography. Research Interests: Number Theory: Specializing in complex multiplication, modular forms, and Diophantine approximation with emphasis on elliptic and hyperelliptic curves Algebraic Geometry: Working extensively with abelian varieties, genus two curves, and class invariants Cryptography: Applying theoretical results to practical cryptographic systems, particularly elliptic curve cryptography His research bridges pure mathematical theory with practical applications, particularly in cryptographic protocols. His publication record shows consistent contributions to understanding class invariants, modular units, and height functions across various algebraic structures. Academic Service: PhD director at the Mathematical Institute Organizer of the General Mathematics Colloquium Active participant in international conferences and workshops Dr. Streng maintains strong international collaborations, particularly with researchers in France, Germany, and the United States, as evidenced by his extensive conference participation across Europe and North America.

• Scientific Computing
• Applied Mathematics
• Parallel Computing
• +3 more

Prof. Dr. Carsten Burstedde is a faculty member at the Institut für Numerische Simulation within the University of Bonn , specifically affiliated with the Faculty of Mathematics and Natural Sciences . His work focuses on developing scalable algorithms for adaptive mesh refinement (AMR) that operate efficiently on the world’s largest supercomputers. He leads the development of the p4est software library , a foundational tool for parallel AMR applications, and contributes to projects like ForestClaw for simulating volcanic ash transport in atmospheric flows. His research spans scientific computing , applied mathematics , and high-performance computing . Key application areas include geophysics (mantle convection, seismic wave propagation), fluid dynamics (incompressible flows, volcanic ash transport), and uncertainty quantification for inverse problems. He emphasizes non-conforming mesh techniques and parallel numerical solutions of PDEs , with a particular interest in hybrid mesh algorithms for complex domains. The 15 most recent publications highlight his expertise in adaptive mesh refinement across diverse contexts: 2021 works on heterogeneous systems and ghost layer optimization , 2020 contributions to p4est software and CPU ray tracing of AMR data, 2019 studies on Morton-type space-filling curves , and 2018–2016 projects enhancing ParFlow and ESPResSo with adaptive methods. Earlier papers (2015–2012) address Bayesian inverse problems , level-set methods , and multi-scale geodynamics . Scientific Awards include the Springer CSE Prize (2011) and the NSF TeraGrid Capability Computing Challenge (2008) . He has advised PhD student Johannes Holke , with whom he developed tetrahedral space-filling curves and hybrid AMR algorithms . His teaching includes courses on scientific computing , adaptive mesh refinement , and mathematics in music . The p4est summer school (2020) and collaboration with Donna Calhoun (ForestClaw project) underscore his leadership in computational science outreach and education.

• Arithmetic Dynamics
• Number Theory
• Algebraic Geometry
• +3 more

Niki Myrto Mavraki is an Assistant Professor in the Department of Mathematics at the University of Toronto Mississauga, part of the Mathematical and Computational Sciences division. Her research focuses on arithmetic dynamics, algebraic geometry, and number theory, with a particular emphasis on the interplay between dynamical systems and Diophantine geometry. She holds a Ph.D. in Mathematics and has contributed to significant advancements in understanding canonical heights, equidistribution theorems, and the geometry of preperiodic points in dynamical systems. Her work spans complex dynamics, elliptic surfaces, and the study of special subvarieties in moduli spaces. Recent contributions include explorations of the dynamical Shafarevich conjecture, Bogomolov conjectures in families of maps, and the geometric properties of PCF parameters. Her research often bridges abstract algebraic structures with analytic tools, addressing questions at the intersection of arithmetic and geometry. Mavraki’s publications reflect a deep engagement with both classical problems and modern techniques, including applications of adelic measures, multiplier spectra analysis, and probabilistic approaches to polynomial dynamics. Her findings have been disseminated through high-impact journals and conferences, contributing to foundational knowledge in her fields.

Athanasios StylianouView profile

Researcher

• Nonlinear Partial Differential Equations
• Mathematical Physics
• Fluid Dynamics
• +3 more

Athanasios Stylianou is a Researcher in the Department of Mathematics at the University of Kassel. His work focuses on mathematical analysis of nonlinear partial differential equations (PDEs) with applications in fluid dynamics, quantum mechanics, and pattern formation. He has held academic positions at the University of Kassel (since 2015), Saarland University (2013–2014), and the University of Cologne, alongside industry experience in engineering (2011–2013). Research Interests: Nonlinear PDEs: Analysis of free boundary problems, bifurcation theory, and Hamiltonian systems. Fluid Dynamics: Ferrofluid instabilities (Rosensweig effect), water waves with vorticity, and pattern formation on fluid surfaces. Quantum Mechanics: Ground states of Bose-Einstein condensates and dipolar interactions. Applied Analysis: Mathematical modeling of physical systems and numerical methods for PDEs. Key Contributions: His research includes studies on the Hamiltonian structure of water waves, free boundary problems in ferrofluids, and the analysis of plate equations with corners. Recent work explores the dynamics of Bose-Einstein condensates involving quantum fluctuations and three-body interactions. Labs/Teams: Active within the Analysis group at the University of Kassel, collaborating on interdisciplinary projects in fluid dynamics and mathematical physics.

Davide GuzzettiView profile

Associate Professor

• Astrodynamics
• Space Mission Design
• Machine Learning
• +5 more

Davide Guzzetti is an Associate Professor in the Department of Aerospace Engineering at Auburn University , where he combines expertise in astrodynamics with cutting-edge technologies like machine learning and immersive computing. Ph.D. in Aeronautics and Astronautics, Purdue University M.S. in Space Engineering, Politecnico di Milano & Torino B.S. in Aerospace Engineering, Politecnico di Milano His research focuses on space mission design and astrodynamics , particularly in cislunar environments and highly elliptical orbits. He leads innovative projects applying machine learning to satellite systems, virtual reality to trajectory design, and origami-inspired engineering to spacecraft deployables. Recent publications reflect trends in orbital mechanics , autonomous space systems , and human-machine collaboration for space mission planning. His work spans technical analysis of self-folding polymers, game-theoretic approaches to satellite constellation competition, and immersive visualization tools for multi-body dynamics. NASA Early Career Faculty Award (2025) Ginn Faculty Achievement Fellow (2025) Guzzetti's research has secured multiple grants including a NASA EPSCoR award for studying microgravity effects on self-folding polymer sheets and a NASA Innovative Advanced Concepts (NIAC) award for space-based self-assembling antenna arrays. He also contributes to educational innovations through Massive Open Online Courses (MOOCs) and elementary education outreach programs in spacecraft dynamics. His laboratory develops interactive solutions for astrodynamics applications, integrating immersive computing with intelligent systems to enhance space mission design processes. Current projects include studying resilience of deployable space structures and optimizing autonomous path-planning for asteroid proximity operations.

Marie BoerView profile

Assistant Professor

• Experimental Hadronic Physics
• Nuclear Physics
• Quantum Chromodynamics (QCD)
• +3 more

Marie Boer is an Assistant Professor of Physics at Virginia Tech, affiliated with the College of Science and Department of Physics. Her research focuses on experimental hadronic physics, particularly studying the nucleon's quark-gluon structure through Generalized Parton Distributions (GPDs) using Jefferson Lab experiments. She leads the PaSHa group (PArtonic Structure of the Hadrons) and collaborates internationally on projects including the Electron Ion Collider (EIC). Affiliations : Virginia Tech, Jefferson Lab, EIC User Group Education : PhD in Nuclear Physics (2014, Université Paris Sud), Postdocs at CERN, LANL, and U.S. universities Research Interests : Tomographic imaging of nucleons via hard exclusive reactions like DVCS and TCS, development of event generators (DEEPGen/DEEPSim), and AI/ML applications in GPD extraction. Key facilities include JLab's 11 GeV electron beam and future EIC. Grants : DOE Early Career Award (2024-2029), EXCLAIM Collaboration (AI/ML funding), 4VA grants. Labs/Teams : Boer Research Group at Virginia Tech, JLab Hall A/C collaborations, EIC ePIC group. Active in detector R&D (e.g., muon detectors) and software development.

• Geometric Analysis
• Partial Differential Equations
• Calculus of Variations
• +7 more

Ali Taheri is a Professor of Mathematics at the University of Sussex, affiliated with the School of Mathematical and Physical Sciences and the Department of Mathematics. He holds an ORCID identifier (0000-0001-9639-4291) and has been with the university since 2006, progressing through roles including Lecturer (2006-2011), Senior Lecturer (2011-2014), Reader (2014-2022), and current Professor since 2022. His research focuses on geometric analysis, partial differential equations (PDEs), calculus of variations, harmonic analysis, spectral theory, and nonlinear elasticity. Education: BSc in Mechanical Engineering (Tehran, Iran), MSc in Pure Mathematics (Imperial College London), PhD in Mathematics (University of Oxford under Sir John Ball). Prior Positions: Postdocs at Courant Institute (NYU) and University of Oxford, lectureships at Oxford, Bath, and Warwick. His research interests span Nonlinear PDEs , Geometric Analysis , Calculus of Variations , and Harmonic Analysis . Key contributions include studies on the topology of Sobolev spaces, quasiconvexity, and geometric flows like the Ricci-Perelman flow. He has published over 50 papers and a two-volume monograph on Function Spaces and Partial Differential Equations (Oxford University Press). Recent articles explore gradient estimates for parabolic equations, Liouville theorems, and geometric flows. His work often bridges analysis, geometry, and topology, with applications to continuum mechanics. Awards include the Sussex Teaching Innovation Prize (2016) and teaching excellence accolades. Grants: EPSRC grant (2022-2025, £580,000) on 'Topology of Sobolev Spaces and Quasiconvexity.' Teaching: Courses include Differential Geometry, Topology, and advanced PDEs. Supervised 10 PhD and over 30 MSc/MMath students. Ali Taheri organizes conferences like the Oxford Nonlinear PDEs Conference (2024) and leads research on geometric deep learning and spectral graph theory.

• Astrophysics
• Fuzzy Logic
• Game Theory
• +3 more

Dr. Zoltán Makó is a researcher at the Faculty of Economics, Socio-Human Sciences and Engineering, Miercurea Ciuc campus of Sapientia Hungarian University of Transylvania. He has participated in public outreach programs like the Ma délután television discussion (2016), focusing on the popularity of his academic unit. Research Interests: His work spans celestial mechanics (e.g., escape velocity, weak stability boundaries), fuzzy logic (e.g., LR-fuzzy intervals, quasi-triangular fuzzy numbers), and game theory (e.g., correlated equilibrium, zero-sum games). Publications: He has contributed to 15 recent articles (2022–2006) on topics like exoplanet stability , fuzzy vector spaces , and chaotic capture dynamics , published in journals such as Acta Universitatis Sapientiae . Academic Engagement: He has co-organized educational initiatives like the Lab Geek competition (2016) for secondary school students in biotechnology and food science, and participated in Café Lectures (2016) on topics like planetary dynamics and fuzzy mathematics. Collaborations: His research often intersects with interdisciplinary projects, such as microbial art exhibitions (2016) and tourism awareness contests ( SapiTour , 2016), though these are not his primary focus.

• Nonlinear Analysis
• Functional Analysis
• Boundary Value Problems
• +2 more

Petronije Milojevic is Professor in Mathematical Sciences at New Jersey Institute of Technology. His research specializes in nonlinear functional analysis, operator equations, and boundary value problems, with applications to differential equations and abstract mathematical structures. With an h-index of 5 and 75+ citations, his work bridges theoretical mathematics and applied problem-solving. Key research examines solvability conditions, solution set dimensionality, and perturbation stability in nonlinear systems. Recent publications explore abstract boundary value problems (2024) while earlier work investigates solution manifolds (2016) and Fredholm operator theory (2009).