جستجوی استاد راهنمای دانشگاهی

Axel Schülzgenمشاهده پروفایل

استاد

• Fiber Lasers
• Fiber Optic Sensing
• Optical Communications
• +۶ مورد دیگر

Axel Schülzgen is a Professor of Optics at CREOL, The College of Optics and Photonics, University of Central Florida. He also holds an Adjunct Research Professor position at the University of Arizona's College of Optical Sciences. His research focuses on fiber fabrication, nano-structured fibers, nonlinear materials, and applications in fiber lasers, sensing, and communications. He earned a PhD in Physics from Humboldt-University of Berlin, Germany. His expertise spans optical fiber devices, components, and structures, with a strong emphasis on advancing high-power laser delivery and sensing technologies. Research Interests: - Development of hollow-core fibers for low-loss light transmission - Anti-resonant fiber designs for multi-mode guidance - Nonlinear optical materials for fiber lasers - Applications in fiber optic sensing and medical imaging - Disordered media imaging using optical fibers Awards & Honors: OSA Fellow (Optical Society of America) SPIE Fellow (International Society for Optics and Photonics) 2021 Excellence in Graduate Teaching Award 2015 CREOL Excellence in Research Award Advising & Labs: - Current advisees: Ameen Alhalemi, Caleb Dobias, Md Abu Sufian - Notable alumni: Xiaowen Hu (2022), Stefan Gausmann (2021), and Jian Zhao (2019) - Research Group: Focuses on fiber fabrication technology, nanotechnology in fibers, and photonics applications

Dario Valdebenitoمشاهده پروفایل

استادیار

• Partial Differential Equations
• Spatial Dynamics
• Elliptic Equations
• +۷ مورد دیگر

Dario Valdebenito is an Assistant Professor of Mathematics at Ave Maria University. He holds a B.S. and diploma in Mathematical Engineering from the University of Chile, followed by an M.Sc. and Ph.D. in Mathematics from the University of Minnesota. His postdoctoral research included positions at McMaster University and the University of Tennessee. His research focuses on partial differential equations, spatial dynamics, and boundary layer problems, applying dynamical systems techniques to elliptic equations. He has over 15 years of college-level teaching experience in diverse settings. Beyond academia, he has a passion for music, including piano and choral singing, and interests in opera, history, and transportation. Dr. Valdebenito’s research explores fluid dynamics with low viscosity and ideal fluid comparisons, as well as quasiperiodic solutions in elliptic equations using KAM theory. His work intersects applied mathematics, fluid dynamics, and nonlinear analysis. He contributes to the mathematical community through peer reviews and Mathematical Reviews reporting.

Shaurya Agarwalمشاهده پروفایل

دانشیار

• Cyber-Physical Systems
• Intelligent Transportation Systems
• Smart Cities
• +۷ مورد دیگر

Shaurya Agarwal is an Associate Professor in the Department of Civil, Environmental, and Construction Engineering at the University of Central Florida (UCF), where he has been a faculty member since 2018. He is the founding director of the URBANITY Lab (Urban Intelligence and Smart City Lab) and currently serves as the director of the Future City Initiative. Prior to joining UCF, he was an Assistant Professor in the Electrical and Computer Engineering Department at California State University, Los Angeles (2016–2018). Ph.D. in Electrical Engineering, University of Nevada, Las Vegas (2015) Postdoctoral Research, New York University (2016) B.Tech. in Electronics and Communication Engineering, Indian Institute of Technology (IIT), Guwahati Dr. Agarwal's research lies at the intersection of cyber-physical systems, intelligent transportation systems, and smart cities. He employs interdisciplinary methodologies integrating control theory, data-driven techniques, physics-informed machine learning, and mathematical modeling to address challenges in connected and autonomous mobility. His work emphasizes real-world applications such as traffic state estimation, signal-free intersections, and pedestrian safety using LiDAR perception. His recent publications demonstrate a strong trend in applying physics-informed deep learning and Koopman operator theory to model complex traffic dynamics. These works leverage both Lagrangian and Eulerian data frameworks and aim to improve accuracy under sparse sensor conditions. The research spans transportation, public health, and social systems, indicating a broad interdisciplinary impact. Dr. Agarwal is a senior member of IEEE and serves as an Associate Editor for IEEE Transactions on Intelligent Transportation Systems . His research has been funded by agencies including the Federal Highway Administration (FHWA), Florida Department of Transportation (FDOT), and Oculus. Senior Member, IEEE Associate Editor, IEEE Transactions on Intelligent Transportation Systems He actively mentors Ph.D. students in the Civil, Environmental, and Construction Engineering Department and leads the URBANITY Lab, a research team focused on next-generation urban mobility solutions. The lab develops real-time 3D object detection algorithms, operates a small-scale CAV test-bed, and explores hybrid approaches bridging theory, simulation, and practice.

Sergey Dyachenkoمشاهده پروفایل

استادیار

• Applied mathematics
• Nonlinear waves
• Scientific computing
• +۳ مورد دیگر

Sergey Dyachenko is an Assistant Professor in the Department of Mathematics at the University at Buffalo, New York. He holds a PhD in Applied Mathematics from the University of New Mexico (2014) and a BS in Applied Physics and Mathematics from Moscow Institute of Physics and Technology (2007). PhD: University of New Mexico BS: Moscow Institute of Physics and Technology His research focuses on nonlinear wave phenomena and fluid dynamics, particularly singularity formation in free-surface flows like water wave breaking and whitecapping. He employs computational mathematics and applied analysis to study: Free surface wave dynamics Stokes wave singularities Wave turbulence theory Integrable systems (NLS, KdV) Recent publications analyze: Stokes wave instabilities Capillary wave propagation Conformal mapping techniques Operator splitting methods Contact: Office: 312 Mathematics Building, UB North Campus Email: sergeydy@buffalo.edu

• Mathematical Physics
• Analysis
• Probability Theory
• +۴ مورد دیگر

Prof. Dr. Peter Müller is a Professor at the Mathematical Institute of Ludwig Maximilian University of Munich (LMU), where he also serves as Dean of the Faculty of Mathematics, Informatics and Statistics. His research group focuses on Analysis, Mathematical Physics, and Numerics. Office: Room 439, Block B, Theresienstr. 39, 80333 Munich. Education: Habilitation in Mathematics, University of Göttingen (2006) Habilitation in Physics, University of Göttingen (2002) Ph.D. in Physics, University of Erlangen-Nürnberg (1996) Diploma in Physics, University of Erlangen-Nürnberg (1991) Research Interests: Müller's work spans mathematical physics, analysis, and probability theory, with emphasis on: Random Schrödinger operators and spectral theory Delocalization phenomena in disordered systems Quasiperiodic structures and ergodic properties Entanglement entropy in quantum systems His research bridges rigorous mathematical analysis with applications in quantum mechanics and statistical physics. Publication Trends: Recent articles (2013–2025) predominantly explore spectral theory in disordered quantum systems. Key themes include localization/delocalization transitions, asymptotic analysis of entanglement entropy, and spectral properties of random operators. Methodologically, his work combines functional analysis, stochastic processes, and operator theory to address fundamental questions in mathematical physics. Student Advising: Extensive mentorship of graduate students: 8 PhD students (e.g., Jakob Stern, Ruth Schulte) 17 Master's students (e.g., Leonard Wetzel, Julian Widl) Research Team: Leads the working group "Analysis, Mathematical Physics and Numerical Analysis" with postdoctoral researchers (e.g., Constanza Rojas-Molina) and PhD candidates. Regularly organizes international conferences on mathematical physics and disordered systems.

• 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.

Siegfried Beckusمشاهده پروفایل

مدرس ارشد

• Spectral Theory
• Dynamical Systems
• Operator Algebras
• +۶ مورد دیگر

Siegfried Beckus is a Senior Lecturer and Researcher at the Institute of Mathematics , University of Potsdam, Germany, since 2020. His work focuses on spectral theory of Schrödinger operators on graphs with aperiodic ordered potentials, dynamical systems , and operator algebras . He has also contributed to the study of Delone sets , graph limits , and aperiodic tilings . Education : PhD in Mathematics (2016) and Diploma (2012) from Friedrich Schiller University Jena, Germany. Research Interests : Spectral theory of quantum systems, aperiodic order, groupoids, C*-algebras, and applications to quasicrystals. His recent publications address operator families defined by dynamical systems , Sturmian Hamiltonians , and symbolic substitution systems on non-abelian groups. These works establish spectral continuity , Lipschitz/Hölder estimates , and periodic approximation techniques . Scientific Awards include Postdoctoral Fellowships at Technion (Haifa) and Research in Pairs scholarships at Oberwolfach. He has supervised several theses on topics like non-Euclidean estimates , Delone dynamical systems , and primitive substitutions .

Marek Balcerzakمشاهده پروفایل

استاد

• Real Analysis
• Measure Theory
• Topology
• +۵ مورد دیگر

Prof. Marek Balcerzak is a Research and Teaching Professor at the Department of Applications of Modern Mathematical Analysis , Lodz University of Technology. His work bridges mathematical analysis, topology, and applied dynamical systems. Research Interests: Real analysis, measure theory, Baire category, ideal convergence, Cantor sets, and applications to dynamical systems and control theory. Publication Trends: Recent articles focus on Baire category, ideal convergence, and Lyapunov exponent applications in chaos theory. His work spans pure mathematics (e.g., equi-Lebesgue families) and engineering (e.g., neural network control systems). Advising: Supervised 13 PhD students, including Piotr Nowakowski (Cantor sets), Szymon Głąb (descriptive set theory), and Paolo Leonetti (ideal convergence). Authored four textbooks, including Foundations of Ergodic Theory (2022). Scientific Contributions: Developed density operators, solved problems in Marczewski-Burstin representations, and extended Birkhoff integral convergence theorems. His interdisciplinary work connects mathematical analysis with control systems and nonlinear dynamics.

• Spin Transport
• Magnetic Thin Films
• Spintronics
• +۵ مورد دیگر

Dr. Liam O'Brien is a Reader in the Department of Physics at the University of Liverpool and a member of the Condensed Matter Physics group and Materials Innovation Factory. His research spans spin transport in nanoscopic devices, magnetic heterostructure growth, and nano-fabrication techniques. Previously, he held a Marie Skłodowska-Curie individual fellowship (2012-2015) and an early career lectureship at the Cavendish Laboratory, University of Cambridge (2014-2017). Education: MSc, University of Oxford (2006) PhD, Imperial College London (2011) His research focuses on spintronic devices , magnetic thin films , and quantum transport , with recent work on Dirac nodal arc semimetals and THz rectenna applications. Articles highlight trends in quantum computing , magnetic imaging , and nanofabrication . Notable grants include funding from the Medical Research Council , BBSRC , and EPSRC . Key scientific awards include the Marie Skłodowska-Curie individual fellowship . He advises on spin valve architectures and artificial spin ice , with teaching roles in Correlated Electron Materials and Magnetic Properties of Solids . His lab at the Materials Innovation Factory explores glancing multi-angle deposition and non-local spin transport .

• Integral Equations
• Wave Propagation
• Electromagnetic Scattering
• +۳ مورد دیگر

Catalin Turc is an Associate Professor at the New Jersey Institute of Technology, affiliated with the College of Science and Liberal Arts and the Department of Mathematical Sciences. His research focuses on computational methods for wave propagation problems in complex media, including electromagnetic and elastic scattering. Academic Rank: Associate Professor Institution: New Jersey Institute of Technology Department: Mathematical Sciences Research Interests include: Integral Equations and Boundary Integral Methods Wave Propagation in Composite and Layered Media High-Order Numerical Discretizations Helmholtz Decompositions for Elastic Scattering Domain Decomposition Techniques Applications to Electromagnetic and Acoustic Scattering His recent publications address advanced formulations for scattering problems, with emphasis on efficient solvers and geometrically complex configurations. Collaborations span computational mathematics and applied physics domains. Federal Grants (all NSF-funded) include projects on: High-order integral solvers for wave propagation in composite media (2024-2027) Optimized domain decomposition for complex media (2019-2022) Wave propagation in multi-layered media (2016-2019) Electromagnetic scattering solutions (2013-2016) Wave propagation in negative-index materials (2010-2012)

Svetlana Jitomirskayaمشاهده پروفایل

استاد

• Mathematical Physics
• Spectral Theory
• Quantum Mechanics
• +۳ مورد دیگر

Svetlana Jitomirskaya is a Distinguished Professor of Mathematics at the University of California, Irvine (UCI). She holds a research position at the Institute for Earthquake Prediction Theory in Moscow (since 1990) and has been affiliated with UCI since 1991, progressing from a part-time lecturer to regular faculty. Her research focuses on mathematical physics, spectral theory, and quantum mechanics, particularly non-perturbative quasiperiodic localization and the Aubry-Andre conjecture. She is renowned for solving the almost Mathieu operator problem and advancing understanding of absolutely continuous spectra. Education: B.Sc. (1987) and Ph.D. (1991) from Moscow State University. Awards include the 2005 Satter Prize, 2020 Dannie Heineman Prize, and Sloan Fellowship (1996–2000). She served as Vice President of the International Association of Mathematical Physics (2012–2014) and was elected to the American Academy of Arts and Sciences in 2018. Her work bridges spectral theory and mathematical physics, with contributions to quasiperiodic operators and dynamical systems. Research trends emphasize foundational problems in analysis with applications to condensed matter physics and quantum mechanics.

• Dynamical Systems
• Renormalization Theory
• Rigidity in Dynamics
• +۶ مورد دیگر

Sasa Kocic is an Associate Professor in the Department of Mathematics at the University of Mississippi, College of Liberal Arts. He is an active researcher in dynamical systems and mathematical physics, with significant contributions to renormalization, rigidity, and spectral theory. His work is supported by an NSF grant and has appeared in leading mathematical journals. Dr. Kocic's research focuses on deep theoretical problems in dynamical systems, particularly the renormalization of circle maps and vector fields, rigidity phenomena, and the spectral properties of Schrödinger operators over quasiperiodic dynamics. His work lies at the intersection of pure mathematics and mathematical physics, with strong connections to KAM theory and universality in nonlinear systems. His recent publications demonstrate a consistent trajectory in understanding the universal behavior of low-dimensional dynamical systems through renormalization techniques. Themes across his work include rigidity under conjugacy, spectral analysis of operators with quasiperiodic potentials, and the role of arithmetic conditions (like Diophantine and Brjuno numbers) in stability and convergence. Scientific Awards: Marie Curie Fellowship Dr. Kocic has been supported by an NSF grant, reflecting sustained funding for his research. While no students are listed in the provided text, he teaches advanced courses such as Introduction to Dynamical Systems I/II and Topics in Dynamical Systems , indicating an active role in graduate education and potential student mentorship. He has held postdoctoral positions at IMPA (Rio de Janeiro), Technical University of Lisbon, and the University of Toronto, reflecting a strong international research network and collaborative engagement in the global dynamical systems community.

Svetlana Jitomirskayaمشاهده پروفایل

استاد

• Spectral theory of quasiperiodic Schrödinger operators
• Quantum dynamics
• Diophantine approximation
• +۳ مورد دیگر

Svetlana Jitomirskaya is a distinguished Professor of Mathematics at the University of California, Irvine (UCI), where she holds the E. M. Hubbard Chair at Georgia Tech since 2022. Her research focuses on spectral theory of quasiperiodic Schrödinger operators, quantum dynamics, and Diophantine approximation. Jitomirskaya has been recognized with prestigious awards, including the Ladyzhenskaya Prize (2022) and the Dannie Heineman Prize (2020). She earned her Ph.D. from Moscow State University (1991) under Ya. G. Sinai, with prior education there (B.S./M.S. 1987). Her academic journey includes roles at UCI since 2000, earlier positions at Caltech (1996), and extensive postdoctoral collaborations. She advises numerous graduate students, contributing to impactful research in spectral theory and mathematical physics. Jitomirskaya also leads editorial roles at journals like Peking Math Journal and Journal of Spectral Theory , and organizes major conferences such as QMath and ICMP sessions. Her work bridges pure mathematics with applications in quantum materials and mathematical physics.

• Spectral Theory
• Mathematical Physics
• Periodic Operators
• +۷ مورد دیگر

Wencai Liu is an Associate Professor in the Department of Mathematics at Texas A&M University , affiliated with the College of Arts & Sciences . His research focuses on spectral theory of periodic, quasiperiodic, and non-compact operators, with applications to quantum physics and mathematical analysis. Key areas include Schrödinger operators, KAM theory, and fractal spectral properties. He actively engages in interdisciplinary work, bridging algebraic geometry, combinatorics, and complex analysis with spectral theory. Notable contributions include studies on Fermi surfaces, Anderson localization, and universal hierarchical structures of eigenfunctions. His work often addresses foundational questions in mathematical physics, such as the HRT conjecture and inhomogeneous Diophantine approximation. Recent research highlights include sharp spectral transition analyses, Floquet isospectrality in periodic systems, and quantitative dynamical bounds for quasiperiodic operators. Liu collaborates widely, contributing to conferences and workshops on disordered systems, spectral geometry, and nonlinear PDEs. Education : Ph.D. in Mathematics (not explicitly stated in provided texts). Grants : Research supported by NSF and international collaborations (details inferred from conference participations). He mentors students across all levels, offering resources for undergraduates, graduates, and high school students interested in mathematical research. His lab focuses on advancing theoretical frameworks in spectral theory and quantum dynamics.

Ilya Kachkovskiyمشاهده پروفایل

دانشیار

• Mathematical Physics
• Spectral Theory
• Quantum Mechanics
• +۳ مورد دیگر

Ilya Kachkovskiy is an Associate Professor in the Department of Mathematics at Michigan State University (MSU), located in Wells Hall. His research focuses on mathematical physics, spectral theory, and operator theory, with particular emphasis on quasiperiodic systems, Schrödinger operators, and their spectral properties. He explores topics such as ballistic transport, localization phenomena, and the interplay between periodicity and boundary conditions in quantum systems. His work spans theoretical analysis of transport properties, spectral continuity, and mathematical structures in C*-algebras. Key contributions include studies on absolute continuity of spectra in periodic systems, localization in quasiperiodic operators, and the behavior of interacting particles in such environments. He has also investigated the mathematical foundations of almost commuting operators and distance estimates in functional analysis. Dr. Kachkovskiy’s research demonstrates a deep engagement with both the abstract frameworks of operator theory and their applications to physical systems, particularly in understanding complex quantum dynamics and spectral behavior in structured environments.