جست‌وجوی استاد و پژوهشگر

Markus Pflaumمشاهده پروفایل

استاد

• Topology
• Geometric Analysis
• Noncommutative Geometry
• +۳ مورد دیگر

Markus Pflaum is a Professor in the Department of Mathematics at the University of Colorado Boulder. His research integrates topology, geometric analysis, and noncommutative geometry, with a focus on stratified spaces, quantization theory, and applications in mathematical physics. He has published foundational work on Lie groupoids, deformation quantization of singular phase spaces, and the analytic properties of stratified spaces. Education: Ph.D. from Ludwig-Maximilians-Universität München (1995). Research Interests: Topology of stratified spaces, geometric analysis, noncommutative geometry, Poisson geometry, quantization theory, and mathematical physics. His work often bridges abstract mathematical frameworks and physical applications. Recent Publications: Focus on index theorems for Lie groupoids, homotopy theory of semi-analytic sets, and de Rham theorems for stratified spaces. His articles demonstrate consistent innovation in applying analytical methods to geometric structures. Teaching: Current courses include Hilbert Spaces and Quantum Theory (MATH 4810/5810) and Analysis I (MATH 3001). Projects: Founder of Libri Mathematicae , a collaborative platform for mathematical documentation, and contributor to the CRing Project on commutative algebra.

Russell C. Hardieمشاهده پروفایل

استاد

• Digital Signal Processing
• Image Processing
• Machine Learning
• +۳ مورد دیگر

Russell C. Hardie is a full-time Professor at the University of Dayton , holding positions in the Department of Electrical and Computer Engineering with joint appointments in Electro-Optics and Photonics and Bioengineering . His academic journey began with a B.S. in Engineering Science from Loyola College (1988), followed by M.S. and Ph.D. in Electrical Engineering from the University of Delaware (1990, 1992). Prior to joining the University of Dayton in 1993, he served as a Senior Scientist at Earth Satellite Corporation (now MDA Federal). Research Interests : Digital signal/image processing, medical imaging, super-resolution techniques, hyperspectral/infrared imaging, pattern recognition Key Awards : 2006 Alumni Award in Teaching (University of Dayton) 1998 Rudolf Kingslake Medal (SPIE) 1999 School of Engineering Excellence in Teaching 2002 IEEE Professor of the Year 1997 Epsilon Delta Tau Engineering Professor of the Year Recent Work : Focuses on machine learning applications for medical imaging (lung segmentation, nodule detection), atmospheric turbulence mitigation, and hyperspectral data analysis. His 15 most recent publications span topics from zero-shot chest X-ray analysis to methane plume detection and turbulence-corrected imaging systems. Contact: rhardie1@udayton.edu

Yakov Berchenko-Koganمشاهده پروفایل

استادیار

• Numerical Analysis
• Differential Geometry
• Finite Element Methods
• +۲ مورد دیگر

Yakov Berchenko-Kogan is an Assistant Professor in the Department of Mathematics and Systems Engineering at Florida Institute of Technology (FIT), part of the College of Engineering and Science. He holds a Ph.D. in Mathematics from MIT (2016) and a B.S. in Mathematics from Caltech (2011), with a minor in Control and Dynamical Systems. His research focuses on developing high-order, structure-preserving numerical methods for problems in differential geometry and geometric analysis, particularly within the framework of finite element exterior calculus. He has held postdoctoral positions at institutions including Pennsylvania State University, the University of Hawaii at Manoa, and Washington University in St. Louis. His expertise spans numerical analysis, differential geometry, and computational mathematics, with a strong emphasis on geometric numerical methods and their applications to geometric PDEs. He actively engages in academic outreach, encouraging undergraduate and graduate students to pursue capstone projects or research collaborations. His work has been published in high-impact journals such as Foundations of Computational Mathematics , Geometriae Dedicata , and Journal of Nonlinear Science . Berchenko-Kogan’s research interests include finite element methods, geometric decomposition techniques, and the numerical approximation of geometric objects like the Levi-Civita connection and mean curvature flow self-shrinkers. He also explores structure-preserving algorithms for equations in mathematical physics, such as Maxwell’s and Yang-Mills equations.

Giorgio Stefaniمشاهده پروفایل

استادیار

• Analysis of Partial Differential Equations (PDEs)
• Functional Analysis
• Metric Geometry
• +۴ مورد دیگر

Giorgio Stefani is a Fixed-Term Researcher (Ricercatore a Tempo Determinato di tipo A - RTDA) at the Department of Mathematics, University of Padova (Italy). He holds a Ph.D. in Mathematics from Scuola Normale Superiore of Pisa (2020) and has held postdoctoral positions at the University of Basel (2020-2022) and SISSA Trieste (2022-2024). Ph.D.: Mathematics, Scuola Normale Superiore di Pisa (2020) PostDoc: University of Basel (2020-2022) PostDoc: SISSA Trieste (2022-2024) Current: Fixed-Term Junior Assistant Professor, University of Padova (2024-) His research focuses on Analysis of PDEs , Functional Analysis , and Metric Geometry , with particular emphasis on: Fractional calculus and non-local functionals Geometric measure theory and perimeter minimization Sharp inequalities in Sobolev spaces Applications to Euler and Vlasov-Poisson systems Topological singularities in variational problems His recent publications demonstrate a strong trend toward Gamma-convergence of fractional energies , Hardy inequalities , and non-local perimeters . He actively participates in geometric analysis seminars and workshops, including the 2022 Rome workshop on anisotropic isoperimetric problems. Contact: giorgio.stefani@unipd.it | giorgio.stefani.math@gmail.com

• Mathematical Analysis
• Geometric Measure Theory
• Analysis on Metric Spaces
• +۳ مورد دیگر

Gareth Speight is an Associate Professor in the Department of Mathematical Sciences at the University of Cincinnati. His research focuses on mathematical analysis with geometric applications, particularly real analysis, geometric measure theory, analysis on metric spaces, and sub-Riemannian geometry. He has been supported by a National Science Foundation grant (#2348715) from 2024-2027, investigating differentiability in Carnot groups and metric measure spaces. He co-organizes the Ohio River Analysis Meeting and leads the UC Analysis Seminar. Speight's educational background includes a PhD from the University of Warwick (2013), supervised by David Preiss, and a postdoctoral fellowship at the Scuola Normale Superiore di Pisa under Luigi Ambrosio. His work explores porosity, differentiability, and functional analytic structures in non-Euclidean settings. He has advised PhD students Marco Capolli (2020) and Hyogo Shibahara (2024). His research highlights include studies on universal differentiability sets, Lusin approximation, and Whitney extension theorems in Carnot groups. He has organized major conferences like the 11th Ohio River Analysis Meeting (2022) and contributed to journals like Inventiones Mathematicae and Advances in Mathematics .

Antonio DE NICOLAمشاهده پروفایل

دانشیار

• Differential Geometry
• Geometry
• Topology
• +۳ مورد دیگر

Antonio DE NICOLA is an Associate Professor in the Department of Mathematics at the University of Salerno, Italy. His primary research interests include Differential Geometry, focusing on Sasakian, Vaisman, and related geometric structures such as Poisson and Jacobi manifolds. He is a member of the Geometry group at the University of Salerno. His work explores topics like the geometry and topology of Sasakian and locally conformally Kähler (LCK) manifolds, nilmanifolds, and formality properties. He has contributed to understanding Hard Lefschetz theorems in various geometric contexts and the classification of nearly Sasakian and cosymplectic manifolds. His publications span high-impact journals such as *International Mathematics Research Notices*, *Annals of Global Analysis and Geometry*, and *Transactions of the American Mathematical Society*. He collaborates frequently with researchers like Beniamino Cappelletti-Montano and Ilya Yudin. His office is located at the Fisciano Campus, Building F2, Room 034. No scientific awards are explicitly mentioned in the provided materials. His research activities include conference talks at institutions like the University of La Laguna and the University of Oporto, focusing on geometric structures and their topological implications. Antonio DE NICOLA advises no listed students and has no documented grants in the text. He actively contributes to the Geometry research community through his publications and collaborations.

Ana Balibanuمشاهده پروفایل

استادیار

• Geometric Representation Theory
• Algebraic Groups
• Symplectic Geometry
• +۳ مورد دیگر

Ana Balibanu is a tenure-track Assistant Professor at Louisiana State University's Department of Mathematics. Previously, she was a Benjamin Peirce Fellow at Harvard University and held an NSF Postdoctoral Fellowship. Her research focuses on geometric representation theory, algebraic groups, and their connections to symplectic and Poisson geometry. Education: Ph.D. in Mathematics, University of Chicago (Advisor: Victor Ginzburg) Bachelor's degree, California Institute of Technology (Caltech) Research Interests: Ana explores intersections of algebraic geometry, representation theory, and symplectic/Poisson structures. Her work emphasizes algebraic groups and their geometric manifestations, supported by NSF Grant DMS-2401514. Awards: NSF Postdoctoral Fellowship Grants: Current funding includes NSF Grant DMS-2401514 for her research in geometric representation theory. Contact: ana@math.lsu.edu , Lockett 322, Baton Rouge, LA 70803

• Integrable Systems
• Nonlinear Differential Equations
• Difference Equations
• +۳ مورد دیگر

Dr. Peter Van Der Kamp is a Senior Lecturer in Mathematics at La Trobe University's School of Mathematics & Statistics. His research focuses on integrable systems, particularly algebraic and geometric properties of nonlinear differential and difference equations. He has collaborated extensively on projects involving Poisson algebras, Lotka-Volterra systems, and discrete integrable equations. Education: Doctorandus (Theoretical Physics) from Vrije Universiteit (VU Amsterdam), Netherlands PhD (Mathematics) from Vrije Universiteit (VU Amsterdam), Netherlands Research Interests: Dr. Van Der Kamp's work spans integrable systems, with emphasis on: Development of discrete integrable equations Analysis of Lotka-Volterra systems and their superintegrability Study of Darboux polynomials and preserved measures Exploration of boundary conditions in quad equations His research often intersects nonlinear dynamics, algebraic geometry, and mathematical physics. Publications Trends: Recent articles highlight advancements in: Quadratic Poisson algebras and Lambert W-function solutions Trilinear/quadrilinear lattice equations Superintegrable tree-systems and their discretizations New integrable maps in R^4 Collaborations with experts like Quispel and Nijhoff are central to his work. Grants: Australian Research Council (ARC) Discovery Project: 'Discrete integrable systems' (2011–2015) Labs/Teams: Active contributor to the La Trobe University Mathematics group, focusing on discrete integrability and nonlinear systems research.

Chinmoy Bhattacharjeeمشاهده پروفایل

استاد

• Stochastic Geometry
• Distributional Approximations
• Stein's Method
• +۴ مورد دیگر

Prof. Chinmoy Bhattacharjee is a Professor of Mathematical Stochastics at the University of Hamburg's Department of Mathematics, part of the Faculty of Mathematics, Computer Science and Natural Sciences. His research focuses on stochastic geometry, distributional approximations via Stein's method, stochastic analysis, random graphs, continuum percolation, and nonparametric inference. He holds a PhD from the University of Southern California and previously held postdoctoral positions at the University of Luxembourg and University of Bern. His work is supported by the German Research Foundation (DFG) through Project No. 531540467. Education: PhD in Applied Mathematics, University of Southern California (2013–2018) M.Stat. and B.Stat. (Hons.), Indian Statistical Institute, Kolkata (2008–2013) Teaching: Recent courses include Stochastic Processes, Probability and Statistics, and seminars on percolation theory and probabilistic methods. Research Highlights: Prof. Bhattacharjee's work bridges stochastic geometry and Stein's method, with applications in spatial random structures, non-Gaussian limit theory, and noise sensitivity in percolation models. Key contributions include Gaussian and Dickman approximation techniques, spectral analysis of Poisson functionals, and statistical applications in random forests. Upcoming Events: Co-organizing session on Spatial Stochastics at German Probability and Statistics Days (2025) Invited talks at Aarhus University and workshops in Germany/Croatia (2025)

Steve Lesterمشاهده پروفایل

دانشیار

• Analytic Number Theory
• L-functions
• Automorphic Forms
• +۳ مورد دیگر

Dr. Steve Lester is a Reader in Number Theory at King's College London, Department of Mathematics, within the Faculty of Natural, Mathematical & Engineering Sciences. He holds a PhD from the University of Rochester (2013) under Prof. Steven Gonek. Before joining King's in 2020, he held postdoctoral positions at Tel Aviv University, KTH Royal Institute of Technology, and Centre de Recherches Mathematique, and was a lecturer at Queen Mary University of London (2017–2020). His research focuses on analytic number theory , with particular emphasis on L-functions, automorphic forms, and their connections to quantum chaos. Key themes include lattice point distribution problems (e.g., Gauss circle problem), equidistribution of zeros of modular forms, and statistical properties of arithmetic objects like Riemann zeta-function zeros. His work bridges number theory with mathematical physics, employing tools from spectral theory and probability. Recent research trends include studies on Poisson spacing statistics for lattice points, quantum variance for modular forms, and universality properties of L-functions. He has contributed to resolving questions around Hardy’s conjecture and superscars in arithmetic systems. His 2020 EPSRC-funded project explores Fourier coefficients of automorphic forms on higher-rank groups, linking arithmetic and analytic aspects. Education: PhD in Mathematics, University of Rochester (2013) Grants: Principal Investigator for EPSRC grant 'Automorphic forms on higher rank groups' (2020–2023) Collaborations: Frequent co-authorship with P. Kurlberg, I. Wigman, M. Radziwiłł, and others in international number theory networks

Christopher Battyمشاهده پروفایل

دانشیار

• Computer Graphics
• Scientific Computing
• Physics-based Simulation
• +۶ مورد دیگر

Christopher Batty is an Associate Professor and Director of Infrastructure at the University of Waterloo's Department of Computer Science. His research focuses on computer graphics and scientific computing, with an emphasis on physics-based numerical simulation of fluids and solids for applications in animation, visual effects, and interactive environments. He holds a Ph.D. from the University of British Columbia (2010) and a B.C.Sc. from the University of Manitoba (2004). His work spans fluid dynamics, solid mechanics, and geometry processing, addressing challenges like surface reconstruction, multi-scale simulations, and efficient solvers for complex fluid-solid interactions. Recent contributions include novel methods for divergence-free fluid editing, discrete elastic rod optimization, and Monte Carlo-based approaches for PDEs on surfaces. Batty’s research integrates computational geometry, numerical analysis, and optimization to create scalable and accurate tools for procedural fluid and solid simulation. His articles emphasize robustness in handling thin obstacles, narrow gaps, and intricate boundary conditions, often leveraging advanced techniques like closest point methods and monolithic solvers. No scientific awards are listed, though his extensive publication record reflects significant contributions to the field. He leads projects on adaptive liquid simulations, surface-only deformable models, and high-resolution embedded fluid surfaces.

Zoltán Hatóمشاهده پروفایل

پژوهشگر ارشد

• Molecular Dynamics
• Computational Chemistry
• Membrane Science
• +۳ مورد دیگر

Zoltán Ható is a Senior Research Fellow at the Faculty of Engineering, University of Pannonia, specializing in computational modeling of molecular systems. His work focuses on molecular dynamics simulations of membrane diffusion processes, ion channel behavior, and clay mineral transformations, with significant contributions to understanding transport phenomena in confined geometries. Research Focus Dr. Ható's research centers on computational nanoscience with emphasis on: Molecular dynamics of membrane diffusion in biological ion channels and synthetic membranes Kaolinite clay intercalation, delamination, and nanoscroll formation mechanisms Ion transport selectivity in nanopores and zeolite membranes Multiscale modeling bridging atomistic simulations with continuum theories His work integrates advanced simulation techniques to address fundamental questions in materials science and separation technology. Publication Trends Analysis of Dr. Ható's publications (2017-2025) reveals a consistent focus on computational characterization of confined systems. Key trends include: Progressive shift toward multiscale approaches connecting molecular dynamics with Poisson-Nernst-Planck modeling Increasing emphasis on practical applications in water purification and energy storage Systematic investigation of interlayer interactions in clay minerals for nanocomposite development Rigorous examination of scaling laws governing ion selectivity in nanopores

Andrea Braidesمشاهده پروفایل

استاد

• Calculus of Variations
• Gamma-convergence
• Homogenization
• +۷ مورد دیگر

Andrea Braides is a Full Professor of Mathematical Analysis at the University of Rome Tor Vergata. He holds a dual affiliation with SISSA, Trieste. His research focuses on Calculus of Variations, Homogenization, and Discrete Systems, with applications to materials science and fracture mechanics. He has authored influential books like Gamma-convergence for Beginners and contributed to over 200 publications. His work bridges discrete and continuous models, addressing problems in phase transitions, lattice systems, and geometric measure theory. Affiliations: University of Rome Tor Vergata (Department of Mathematics), SISSA, Trieste. Education: Laurea in Mathematics (University of Pisa, 1983), PhD in Mathematics under Ennio De Giorgi at Scuola Normale Superiore. Research Interests: Braides' work emphasizes variational methods, Γ-convergence, and homogenization. He explores energy relaxation in discrete systems, phase transitions in Ising models, and microstructure analysis in materials. His recent studies include long-range interactions, anti-phase boundaries, and stochastic homogenization. Publications: His 150+ articles span topics like non-local energies, discrete-to-continuum limits, and ferromagnetic systems. Notable recent work includes studies on modulated phases in Ising systems (2025) and closure theorems for Γ-convergence (2024). Awards: Tullio Levi Civita Prize (2015), Timoshenko Fellowship (2004), Invited Speaker at ICM 2014. Advising & Leadership: Supervised 11 PhD theses, including those by R. Alicandro and M. Cicalese. Organized major conferences like the School on Multiple-scale Problems (2001) and the EMS Summer School (2018). Served on editorial boards of Archive for Rational Mechanics and Analysis and Networks and Heterogeneous Media . Labs/Teams: Coordinates research groups on variational problems, homogenization, and discrete systems at the University of Rome Tor Vergata and SISSA. Collaborates internationally, including with Oxford and TU Munich on multiscale phenomena.

Aref Hashemiمشاهده پروفایل

استادیار مهمان

• Mathematical Physics
• Electrokinetic Phenomena
• Micro/Nano-Fluidics
• +۳ مورد دیگر

Aref Hashemi is a Visiting Assistant Professor in the Department of Applied & Computational Mathematics & Statistics at the University of Notre Dame (2024–Present). Previously, he served as an Assistant Professor/Courant Instructor at New York University’s Courant Institute of Mathematical Sciences (2021–2023). He holds a PhD from the University of California Davis (2021), an MS from Sharif University of Technology (2013), and a BS in Chemical Engineering from Shiraz University (2010). His research integrates engineering and applied mathematics to explore theoretical and computational problems in mathematical physics, with a focus on electrokinetic phenomena in micro/nano-fluidic systems and spatiotemporal ratchets. Key themes include asymmetric rectified electric fields (AREFs), nonantiperiodic potentials, and their applications in nanochannel conductivity and colloidal dynamics. Publications highlight advancements in fluid dynamics modeling, computational methods for confined geometries, and experimental validation of electrokinetic phenomena. His work bridges theoretical frameworks with practical applications, such as optimizing nanoscale fluidic systems and understanding long-range electrostatic effects in liquids. No scientific awards are listed, though his contributions to electrokinetic theory are notable. His research is supported by computational fluid dynamics (CFD) simulations and analytical approaches, with applications spanning materials science, microfluidics, and nanotechnology.

Samuel Evensمشاهده پروفایل

استاد

• Representation Theory of Lie Groups
• Geometry
• Poisson Geometry
• +۳ مورد دیگر

Samuel Evens is a Professor and Director of Graduate Studies in the Department of Mathematics at the University of Notre Dame. He holds a B.S. from Haverford College (1984) and a Ph.D. from the Massachusetts Institute of Technology (1988). His research focuses on representation theory of Lie groups, geometry, and their interplay with Poisson geometry and perverse sheaves. He explores geometric techniques to construct representations and analyze their properties, particularly branching rules for infinite-dimensional representations and microlocal invariants. Collaborations, such as with Jiang-Hua Lu on Poisson harmonic forms and Lagrangian subalgebras, highlight his work on geometric structures in cohomology and symmetric spaces. Key research areas include the application of geometrical methods from Beilinson, Bernstein, and Lusztig to representation theory, as well as the study of flag varieties, orbits, and integrable systems like the Gelfand–Zeitlin system. His work bridges algebraic geometry, Lie theory, and symplectic geometry, with contributions to spectral sequences, cohomology products, and the structure of Lagrangian subalgebras. Recent studies address orbits in flag varieties, compactifications of Lie algebra structures, and the Bruhat order's role in geometric configurations. Publications span over three decades, addressing topics from the Iwahori-Matsumoto involution to Belkale-Kumar products and eigenvalue multiplicities. Evens' research emphasizes the interplay between algebraic, geometric, and topological frameworks to advance representation theory and related fields.