جست‌وجوی استاد و پژوهشگر

David Damanikمشاهده پروفایل

استاد

• Spectral Theory
• Dynamical Systems
• Aperiodic Order
• +۳ مورد دیگر

David Damanik is the Robert L. Moody, Sr. Professor of Mathematics at Rice University, where he has established himself as a leading researcher in spectral theory, dynamical systems, and aperiodic order. His work bridges pure mathematics with mathematical physics, focusing on the spectral properties of operators arising in quantum mechanics and quasicrystal theory. Dr. Damanik received his academic training at Johann Wolfgang Goethe-Universität in Frankfurt, Germany, earning a Dipl.-Math. in 1995, Dipl.-Inform. in 1996, and Dr. phil. nat. in 1998. His educational background reflects a strong foundation in both mathematics and computer science, which informs his interdisciplinary research approach. His research interests center around spectral theory of Schrödinger operators, particularly those with ergodic, quasi-periodic, and aperiodic potentials. He has made significant contributions to understanding the spectral properties of operators associated with quasicrystals, substitution sequences, and other aperiodic structures. His work often connects spectral properties with dynamical systems concepts, particularly through the study of rotation numbers, Lyapunov exponents, and gap labeling theorems. Damanik's research has profound implications for understanding quantum transport in aperiodic media and the mathematical foundations of condensed matter physics. Analysis of his recent publications (2022-2024) reveals a continued focus on ergodic Schrödinger operators, with two comprehensive monographs providing a systematic treatment of the field. His work spans both theoretical foundations and specific applications, addressing problems in one-dimensional systems, quasi-periodic potentials, and aperiodic tilings. The research demonstrates strong connections between spectral theory, dynamical systems, and mathematical physics, with particular emphasis on the interplay between spectral properties and the underlying dynamics of the potential. Annales Henri Poincaré Prize (2014) for the paper "Continuum Schrödinger operators associated with aperiodic subshifts" Professor Damanik has mentored numerous PhD students and maintains an extensive network of collaborators across the globe, as evidenced by his long list of coauthors. His research has been supported by various grants that enable him to organize workshops and conferences, fostering collaboration in his field. He has been instrumental in organizing major conferences such as the Spectral Theory and Mathematical Physics conference honoring Barry Simon's 80th birthday (scheduled for 2026) and multiple workshops on aperiodic order at prestigious institutions like Banff International Research Station and Mathematisches Forschungsinstitut Oberwolfach. Through his teaching of specialized courses like "Mathematics of Aperiodic Order" and "Ergodic Theory and Topological Dynamics," Damanik has cultivated the next generation of researchers in his field. His leadership in organizing conferences and workshops has established him as a central figure in the international community studying spectral theory and aperiodic structures.

• Ergodic Theory
• Combinatorics
• Ergodic Ramsey Theory
• +۳ مورد دیگر

Vitaly Bergelson is a Professor of Mathematics and Physical Sciences at The Ohio State University, affiliated with the Department of Mathematics within the College of Arts and Sciences. His work focuses on Ergodic Theory , Combinatorics , Ergodic Ramsey Theory , Polynomial Szemerédi Theorems , and Number Theory . He holds a PhD from the Hebrew University of Jerusalem (1984). His research explores the interplay between ergodic systems, combinatorial structures, and number-theoretic phenomena. Notable contributions include polynomial extensions of Szemerédi's theorem and foundational work on ergodic Ramsey theory. Recent articles address topics like multiplicative functions, Diophantine approximations, and quasirandom group structures. His work often bridges abstract mathematical frameworks with concrete combinatorial problems, yielding applications in additive combinatorics and symbolic dynamics. Publications highlight advancements in recurrence properties, uniform distribution, and the structure of algebraic dynamical systems. Collaborations with scholars like A. Leibman, N. Hindman, and J. Moreira underscore his interdisciplinary approach. His research is disseminated through top-tier journals such as Inventiones Mathematicae and Journal d'Analyse Mathématique .

Alexander Tumanovمشاهده پروفایل

استاد

• Several Complex Variables
• Differential Geometry
• Partial Differential Equations
• +۳ مورد دیگر

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.

Julia Wolfمشاهده پروفایل

استاد

• Arithmetic Combinatorics
• Harmonic Analysis
• Analytic Number Theory
• +۳ مورد دیگر

Julia Wolf is a Professor of Pure Mathematics at the University of Cambridge, affiliated with the Department of Pure Mathematics and Mathematical Statistics (DPMMS) and Trinity College. Her research focuses on arithmetic combinatorics, harmonic analysis, and analytic number theory, with interdisciplinary connections to model theory, discrete geometry, and theoretical computer science. She holds an EPSRC Open Fellowship and has organized events like the Warwick-Oxbridge-Manchester-Bristol-London (WOMBL) meetings. Wolf teaches advanced courses such as 'Higher-Order Uniformity' and 'Analytic Number Theory,' emphasizing structure and applications. Her work bridges combinatorial, analytic, and algebraic techniques, addressing problems like polynomial configurations in primes, extremal hypergraph theory, and Ramsey multiplicity. Recent research includes structural stability in finite abelian groups and applications of model theory to additive combinatorics. Wolf actively promotes open-access publishing and has mentored numerous postdoctoral researchers and students through initiatives like the Philippa Fawcett Internship Programme. She also contributes to academic equity efforts, such as gender-inclusive hiring in mathematics. Professional activities include editorial roles, conference organization (e.g., the Simons Institute's Pseudorandomness program), and leadership in collaborative projects like the 'Combinatorics Meets Model Theory' workshop. Her grants and fellowships underscore her contributions to advancing discrete mathematics and fostering international academic networks.

Zakhar Kabluchkoمشاهده پروفایل

استاد

• Stochastic Processes
• Convex and Integral Geometry
• Random Trees and Branching Processes
• +۵ مورد دیگر

Prof. Zakhar Kabluchko is a faculty member at the University of Münster, affiliated with the Institut für Mathematische Stochastik and the Mathematics Münster cluster of excellence. His research focuses on stochastic processes, convex and integral geometry, and probabilistic number theory. He holds a professorship and has contributed to high-impact publications in areas like random polytopes, stochastic geometry, and extreme value theory. His research interests include the study of random analytic functions, stochastic processes in high dimensions, and geometric probability. Notably, he has explored beta-star polytopes, Poisson zero cells, and the interplay between convex hulls and random walks. Kabluchko has also investigated applications of stochastic geometry in statistical mechanics and number theory. Recent work includes studies on high-dimensional limit theorems, propagation of chaos in spin systems, and the geometry of random simplices. He collaborates actively with researchers like Christoph Thäle and Vladimir Vysotsky, contributing to advancements in geometric probability and stochastic analysis.

• Dynamical Systems
• Renormalization Theory
• Complex Dynamics
• +۱۱ مورد دیگر

Michael Yampolsky is a Professor in the Department of Mathematics at the University of Toronto, with appointments at both the St. George and Mississauga (UTM) campuses. He is also the Director of the Centre for Nonlinear Analysis and Modeling (CNAM) at UTM. His research lies at the intersection of pure mathematics and applied modeling, with a strong focus on dynamical systems and their theoretical and computational aspects. Yampolsky earned his PhD from SUNY Stony Brook in 1997 and has held prestigious positions including J.W. Gibbs Instructor at Yale University and Visiting Member at the Institut des Hautes Études Scientifiques in France before joining the University of Toronto faculty in July 2000. He has also held visiting positions at IPAM (UCLA), ETH Zurich, Université de Paris, and IMPA. His research interests span a broad range of topics in dynamical systems , including renormalization theory , Julia sets , Siegel disks , critical circle maps , and computability in dynamics . A significant portion of his work investigates the boundaries of algorithmic computability in complex dynamical systems. He has also contributed to interdisciplinary research in mathematical medicine and biology , particularly in modeling placental morphology and metabolic scaling laws in fetal development. The recent publications reflect a deep engagement with both theoretical and computational themes. The work trends include renormalization hyperbolicity , rigidity of circle maps , computability of dynamical invariants , and structural instability in 2D complex maps . His interdisciplinary projects apply mathematical modeling to placental shape and function, especially in the context of HIV and antiretroviral therapy. He is the author and co-author of several books, including Computability of Julia Sets (Springer, 2008) and Fixed Point of the Parabolic Renormalization Operator (Springer, 2014), and has edited volumes in honor of John Milnor. His publications appear in top-tier journals such as Communications in Mathematical Physics , Annals of Mathematics , Inventiones Mathematicae , and Placenta . Yampolsky advises students and collaborates extensively, particularly in the areas of computable analysis and nonlinear modeling. His research has been supported by major grants, though specific funding sources are not detailed in the text. He leads the Centre for Nonlinear Analysis and Modeling (CNAM), which serves as a hub for interdisciplinary research in dynamical systems and mathematical modeling. Notable labs and teams include: Centre for Nonlinear Analysis and Modeling (CNAM) – Research group focused on dynamical systems, renormalization, and applications in biology and medicine. Collaborative projects with researchers in mathematical biology, particularly in placental modeling and fetal development.

Markus Keelمشاهده پروفایل

استاد

• Partial Differential Equations
• Real Analysis
• Harmonic Analysis
• +۵ مورد دیگر

Markus Keel is a Professor at the School of Mathematics, Department of Mathematics, University of Minnesota. He holds a B.S. in Mathematics from the University of Chicago and a Ph.D. in Mathematics from Princeton University. Education: University of Chicago - B.S. in Mathematics Princeton University - Ph.D. in Mathematics Research Interests Markus Keel's research focuses on Partial Differential Equations (PDEs) , with significant contributions to Real Analysis , Harmonic Analysis , and Functional Analysis . His work addresses fundamental questions in Global Well-Posedness , Scattering Theory , and Instability Phenomena for nonlinear PDEs such as the Nonlinear Schrödinger Equation , Korteweg-de Vries (KdV) Equation , and Wave Equations . Research Trends Keel's publications highlight his expertise in analyzing the behavior of solutions to nonlinear dispersive equations. Key areas include Energy-Critical PDEs , High-Frequency Dynamics , and Resonant Interactions , often employing techniques like the I-Method , Multilinear Estimates , and Strichartz Inequalities . His collaborations with prominent mathematicians like Terence Tao, James Colliander, and Gigliola Staffilani reflect a strong emphasis on advancing theoretical frameworks for nonlinear partial differential equations. Contact Information Email: keel@umn.edu Phone: (612) 624-6341 Address: 222 Vincent Hall, 206 Church Street SE, Minneapolis, MN 55455

• Dynamical Systems
• Differential Equations
• Topological Dynamics
• +۴ مورد دیگر

Rafael Obaya García is a distinguished Professor in the Department of Applied Mathematics at the University of Valladolid's Faculty of Science. With a prolific research career spanning over four decades from 1982 to 2024, he has established himself as a leading authority in dynamical systems theory and differential equations. His work bridges abstract mathematical theory with practical applications across physics, biology, and engineering disciplines. Dr. Obaya's research focuses on topological dynamics , functional differential equations , and Hamiltonian systems . His contributions include developing dynamical methods for linear Hamiltonian systems with control applications, establishing exponential ordering for neutral functional differential equations, and exploring topological dynamics for monotone skew-product semiflows. His work demonstrates a consistent integration of pure mathematical concepts with real-world applications in neural networks, compartmental models, and quantum mechanics. Throughout his career, Dr. Obaya has supervised seven doctoral students whose research spans non-autonomous differential equations, stability analysis, and spectral theory. His collaborative work with researchers including Sylvia Novo, Carmen Núñez Jiménez, and Russell Johnson has resulted in numerous publications in prestigious journals such as the Journal of Dynamics and Differential Equations. While specific grant information isn't detailed in available sources, his sustained research output across four decades indicates successful funding acquisition and significant scholarly impact.

• Biodiversity
• Evolutionary Biology
• Zoology
• +۳ مورد دیگر

Gabriele Gerlach is a Professor at the Carl von Ossietzky University of Oldenburg since 2007, affiliated with the Institute of Biology and Environmental Sciences and leading the Department of Biodiversity and Evolution of Animals. She also serves as an Adjunct Senior Scientist at the Marine Biological Laboratory (USA) and an Adjunct Professor at the Boston University Marine Program. Education : Ph.D. (1990) and Habilitation (2000) in Zoology and Ecology at the University of Constance, Germany. Research Interests : Biodiversity, evolutionary biology, and ecology combined with mathematical approaches. Her work focuses on operator theory, spectral analysis, and dynamical systems applied to biological and environmental questions. Publications : Recent contributions include mathematical frameworks for kernel operators, transition semigroups, and spectral convergence, bridging abstract analysis with computational biology.

Hugo D. Junghennمشاهده پروفایل

استاد

• Functional Analysis
• Semigroups

Hugo D. Junghenn is a Professor of Mathematics at The George Washington University, where he has been a faculty member since at least 1970. He previously served as Chair of the Department of Mathematics during 1986 and from 1997 to 2001. His educational background includes a B.S. in Physics from Albright College (1964), an M.A. in Mathematics from Villanova University (1967), and a Ph.D. in Mathematics from The George Washington University (1970). Dr. Junghenn's research specializes in Functional Analysis and Semigroup Theory , with a focus on compactifications, topological dynamics, and operator semigroups. His work bridges abstract algebra, topology, and dynamical systems to explore structural properties of semigroups and their applications. His publications demonstrate sustained engagement with semigroup compactifications, function spaces, and almost periodicity, with recent explorations in stochastic flows and geometric group structures. Thematically, his corpus emphasizes topological methods in algebraic and analytic contexts. No awards, grants, or supervised students are documented in available materials.

Moritz Gerlachمشاهده پروفایل

پژوهشگر

• Operator Theory
• Ergodic Theory
• Markov Processes
• +۳ مورد دیگر

Dr. Moritz Gerlach is a researcher associated with the Institute of Mathematics at the University of Potsdam . His work focuses on operator theory, ergodic theory, and the asymptotic behavior of Markov processes. He collaborates on topics like kernel operators, positivity in Banach lattices, and spectral convergence in graph theory. PhD thesis: Semigroups of Kernel Operators (2014) Diploma thesis: The Asymptotic Behavior of Positive Semigroups (2010) Diploma thesis: Comparison of Time and Space Complexity (2008) Gerlach's research spans positive operator semigroups, their convergence properties, and applications to partial differential equations and stochastic processes. He has extended classical theorems by Doob, Lasota-Yorke, and Lévy, often eliminating restrictive continuity assumptions. His work on graph Laplacian convergence bridges machine learning and computational mathematics. His publications, including 10 peer-reviewed articles since 2012, emphasize abstract kernel operators, mixing properties, and lattice structures. While the website lists him as a freelancer, his university email ( gerlach@math.uni-potsdam.de ) suggests ongoing collaboration with the institute.

Nicolae Strungaruمشاهده پروفایل

استاد

• Mathematical physics
• Aperiodic Order
• Meyer sets
• +۶ مورد دیگر

Dr. Nicolae Strungaru is a Professor in the Department of Mathematics and Statistics at MacEwan University's Faculty of Arts and Science. He has been a faculty member at MacEwan University since 2010, with a leave period at Trent University between 2015 and 2016. His primary academic affiliation is with MacEwan University in Edmonton, Alberta where he maintains an active research program and teaching responsibilities. Education: B.Sc. from the University of Bucharest (1999) Ph.D. from the University of Alberta (2006) Postdoctoral fellowship at the University of Victoria Dr. Strungaru's research focuses on mathematical physics, particularly the diffraction of quasicrystals. His work centers on Meyer sets, almost periodic measures, spectral theory of dynamical systems, and Fourier transform of measures. He has made significant contributions to understanding pure point diffraction and almost periodicity in aperiodic structures. His research combines deep mathematical analysis with applications to physical phenomena in quasicrystals, exploring the mathematical foundations of diffraction patterns in non-periodic structures. Analysis of his recent publications reveals a strong focus on the mathematical foundations of diffraction theory, particularly examining the connections between almost periodicity, Meyer sets, and pure point spectra. His work spans harmonic analysis, measure theory, and dynamical systems, with applications to understanding the structure of quasicrystals and other aperiodic systems. A notable trend is his investigation of the Eberlein convolution and its applications to diffraction theory, which has become a significant thread in his recent research output. Scientific Awards: Chancellor's Research Chair, MacEwan University (2023) Distinguished Research Award, MacEwan University (2022) Discovery Development Grant, NSERC (2020-2024) Discovery Grant, NSERC (2014-2020) Simons visiting professor, Mathematisches Forschungsinstitut Oberwolfach (2017) Research, Scholarly Activity and Creative Achievement Fund, MacEwan University (2013) Dr. Strungaru is available to supervise senior students' independent study projects. His research has been consistently supported by multiple NSERC grants, including a Discovery Grant from 2014-2020 and a Discovery Development Grant from 2020-2024. He has also received internal funding from MacEwan University through their Research, Scholarly Activity and Creative Achievement Fund. He has served as editor for the COMC Problem of the Week section with the Canadian Math Society since 2016, and is a board member of the Alberta High School Math Competition, chair of the Canada Jay Mathematical Competition, and has been Director for the West Region of the Canadian Mathematics Society since 2023.

ABDULLAH KABLANمشاهده پروفایل

استاد

• Sturm-Liouville Theory
• Spectral Analysis
• Fractional Calculus
• +۳ مورد دیگر

Professor Abdullah Kablan is a distinguished academic at Gaziantep University's Faculty of Arts and Sciences, Department of Mathematics and Applied Mathematics, where he has served as a Professor since 2020. Previously holding positions as Associate Professor (2015-2020) and Doctor Lecturer (2009-2015), his academic journey began with research assistant roles at both Gaziantep University and Mersin University. Dr. Kablan earned his PhD in Mathematics from Mersin University (2004-2008), Master's degree from Gaziantep University (2000-2003), and undergraduate degree from the same institution (1996-2000). His educational background laid the foundation for his expertise in advanced mathematical analysis. Specializing in Sturm-Liouville theory, spectral analysis, and differential equations with discontinuities, Professor Kablan's research focuses on fractional calculus, inverse spectral problems, and mathematical physics applications. His work bridges theoretical mathematics with practical applications in physics and engineering through rigorous analysis of differential operators with delta interactions and transmission conditions. His publication record shows consistent high-impact research output spanning from 2009 to 2025, with a clear trend toward increasingly sophisticated problems involving fractional operators, multi-interval systems, and advanced spectral theory. The articles demonstrate progression from fundamental Sturm-Liouville problems to cutting-edge research on fractional Dirac systems and eigenparameter-dependent boundary conditions. Professor Kablan has successfully supervised 22 graduate students (2 doctorates and 20 master's theses), demonstrating his commitment to academic mentorship and the development of next-generation mathematicians. His research project on Sturm-Liouville operators with periodic coefficients was completed in 2020. Teaching a comprehensive range of courses including Differential Equations (in both Turkish and English), Calculus, and Numerical Analysis, he has maintained an active teaching schedule throughout his career, contributing significantly to mathematics education at Gaziantep University.

• Mathematical Analysis
• Inverse Problems
• Fractional Calculus
• +۴ مورد دیگر

Professor Banu Uzun is a faculty member at the Faculty of Engineering and Natural Sciences of Işık University , where she serves as Head of the Mathematics Department . Her academic career spans over two decades, with expertise in Mathematical Analysis , Inverse Problems , and Fractional Calculus . She has taught courses including Linear Algebra, Differential Equations, and Real Analysis. PhD in Mathematics from the University of Leeds (1999) MSc in Mathematical Engineering from Istanbul Technical University (1995) BSc in Mathematical Engineering from Istanbul Technical University (1993) Her research focuses on thermoacoustic imaging , fractional calculus , and shift-invariant operators . Her recent work addresses inverse source problems in multi-layer media, fractional wavelet transforms, and operator equations. She has supervised doctoral theses on thermoacoustic imaging and inverse problems. Key projects include microwave-induced thermoacoustic imaging for breast cancer diagnosis . She is a member of the European Mathematical Society and Turk Matematik Dernegi . Her publications span journals and proceedings in mathematics, physics, and biomedical engineering.

• Algebra
• Number Theory
• Lie Algebras
• +۳ مورد دیگر

Assoc. Prof. Dr. Nil MANSUROĞLU is a faculty member at the Faculty of Arts and Sciences , Kırşehir Ahi Evran Üniversitesi , Türkiye, specializing in Algebra and Number Theory . Her research focuses on Leibniz algebras, Lie algebras, finite groups, and their derivations. Post Doctoral Degree: Universita Degli Studi Di Salerno , Italy (2016-2017) PhD: University of Manchester , England (2010-2014) MSc: University Of Manchester , England (2009-2010) MSc: Çukurova University , Turkey (2006-2009) BSc: Ankara University , Turkey (1997-2001) Her research explores structure constants , periodic derivations , and element order properties in finite groups. She investigates combinatorial structures related to Lie algebras and Leibniz algebras, including their dimensional analysis and homogeneity. The 15 most recent publications reveal a focus on Leibniz algebras , Lie algebras , and finite group theory , with keywords spanning structure constants, derivations, and commutator properties. Subfields include periodic derivations, soft intersection algebras, and applications of Grobner bases. She has advised 10 master's students, including Hatice Diremci Narin and Duygu Yaman , and collaborated internationally with researchers like Ralph Stöhr (UK) and Antonio Tortora (Italy). Her editorial roles include editing journals such as Galios Journal of Algebra and Pure and Applied Mathematics Journal .