جستجوی استاد راهنمای دانشگاهی

Drazen Fabrisمشاهده پروفایل

دانشیار

• Nanoscale Heat Transfer
• Electronics Cooling
• Energy Efficiency
• +۲ مورد دیگر

Dražen Fabriš is an Associate Professor in the Department of Mechanical Engineering at Santa Clara University's School of Engineering. With a Ph.D. and M.S. from the University of California, Berkeley, and a B.S. from the California Institute of Technology, his expertise spans experimental and computational thermal-fluid sciences. He co-developed Santa Clara's microscale boiling laboratory and contributed to nanoscale thermal transport projects. Education: Ph.D., University of California at Berkeley, 1996 M.S., University of California at Berkeley, 1993 B.S., California Institute of Technology, 1990 His research focuses on: Nanoscale heat transport : Developing experimental and computational methods for metallic thin films and carbon nanostructures. Electronics cooling : Creating carbon nanotube thermal interfaces and spray cooling systems. Energy systems : Modeling data center efficiency and coal-to-syngas heat exchangers. Computational methods : Spectral techniques for Poisson equations and domain decomposition. Recent publications emphasize carbon nanofiber applications, bubble dynamics in boiling, climate impact modeling, and computational fluid dynamics, reflecting interdisciplinary collaboration across energy, nanotechnology, and instrumentation. Awards: Regents Fellowship, University of California at Berkeley Coopers and Lybrand Technology Challenge winner He secured $3.9M in research funding (as PI/Co-PI), including NSF support for curriculum development. He advises graduate research and leads the microscale boiling lab, focusing on high-speed nucleation and spray cooling physics.

• Generalized Geometry
• Poisson Geometry
• Lie Groupoids
• +۴ مورد دیگر

Marco Gualtieri is a mathematician affiliated with the Department of Mathematics at the Barcelona Polytechnic School of Building , part of the Polytechnic University of Catalonia (UPC) , and the University of Toronto . He focuses on geometry and mathematical physics, particularly developing mathematical structures with applications to quantum field theory. Education : B. Sc. from McGill University, D. Phil. in Mathematics from the University of Oxford under supervisor Nigel Hitchin. Experience : Research fellowships at the Fields Institute and MIT, followed by academic appointments at the University of Toronto (since 2008) and UPC Barcelona Tech (since 2025) in the SYMCREA lab. His research spans generalized geometry, Poisson geometry, and Lie groupoids, with a strong emphasis on connecting abstract mathematical structures to theoretical physics. While no explicit scientific awards or publications are listed in the provided texts, his career highlights include interdisciplinary work at the intersection of mathematics and quantum field theory.

• Differential Geometry
• General Relativity
• Mathematical Physics
• +۳ مورد دیگر

MingLiang Cai serves as an Associate Professor in the Department of Mathematics within the College of Arts and Sciences at the University of Miami. His professional contact information includes email m.cai@miami.edu and phone number (305) 284-2328. Dr. Cai's research spans differential geometry, mathematical physics, and geometric analysis with particular expertise in Riemannian geometry, black hole physics, and curvature analysis. His work bridges pure mathematics with theoretical physics applications, exploring topics such as Ricci solitons, minimal surfaces, and asymptotically hyperbolic manifolds. More recently, he has expanded into mathematical biology with research on statistical genetics related to Alzheimer's disease. Analysis of Dr. Cai's publication timeline reveals an evolution from foundational geometric research in the 1990s toward increasingly physics-oriented applications in the 2000s, with a recent interdisciplinary expansion into biological applications. His collaborative work, particularly with Gregory J. Galloway, demonstrates sustained engagement with the mathematical physics community. His publications appear in prestigious journals including Pacific Journal of Mathematics, Annales Henri Poincaré, and Classical and Quantum Gravity. Dr. Cai has maintained an active research trajectory for nearly three decades, with publications spanning from 1994 to 2022. His collaborative network includes prominent researchers in mathematical physics such as Gregory J. Galloway, Lars Andersson, and Gang Pei. While specific grant information isn't detailed in the available text, his consistent publication record across multiple disciplines suggests sustained research funding and academic productivity.

• Mathematics
• Computer Science
• Representation Theory
• +۷ مورد دیگر

Alexander L Dvorsky is an Associate Professor at the Department of Mathematics, College of Arts and Sciences, University of Miami, with research spanning representation theory, Lie algebras, and deformation quantization. Research Interests: Representation theory of classical and infinite-dimensional Lie groups Deformation quantization and invariant distributions Algebraic geometry in homogeneous spaces Key Contributions: His work includes decomposition of tensor products of minimal representations of orthogonal groups, studies on Kontsevich quantization, and analysis of parabolic subalgebras.

• Information Theory
• Network Security
• Coding Theory
• +۷ مورد دیگر

Venkat Anantharam is a Professor in the Department of Electrical Engineering and Computer Sciences at the University of California, Berkeley . His research spans Information Theory , Network Security , Coding Theory , and Stochastic Processes , with a focus on theoretical foundations and applications in communication systems, game theory, and data compression. He has supervised numerous PhD and Master’s students , including Soham Phade, Payam Delgosha, and Sudeep Kamath, and hosted postdoctoral fellows such as Lei Yu and Charles Bordenave. His recent publications address advanced topics like hypercontractivity in Boolean functions, universal compression of graphical data, and game-theoretic models for security. Articles from 2019-2021 highlight work on entropy power inequalities, error bounds for Markov chains, and distributed compression techniques. Venkat's research often bridges theoretical insights with practical applications, including LDPC decoders, network coding, and risk-sensitive control.

Jan Frahmمشاهده پروفایل

دانشیار

• Representation Theory
• Harmonic Analysis
• Lie Groups
• +۳ مورد دیگر

Jan Frahm is an Associate Professor at the Department of Mathematics , Aarhus University , specializing in representation theory and harmonic analysis of Lie groups . His research explores branching problems for unitary representations, with connections to analytic number theory , partial differential equations , and spectral theory . Teaching Activities : Mathematical Analysis 1 (Fall 2025, 2024, 2023, 2022, 2021, 2020) Advanced Calculus for Engineers (Spring 2024, 2023, 2022, 2021, 2020) Fourier Analysis (Fall 2023, 2022, 2021) Lie Groups (Fall 2020) Research Projects : Spectral Correspondences for Trees and Buildings (2023–2026) Symmetry Breaking in Mathematics (2019–2024) Areas of Expertise : Lie groups Representation theory Harmonic analysis Spectral theory Analytic number theory Partial differential equations Contact : frahm@math.au.dk | +45 87 15 57 26

Fraydoun Rezakhanlouمشاهده پروفایل

استاد

• Probability theory
• Partial differential equations
• Mathematical analysis
• +۷ مورد دیگر

Professor Fraydoun Rezakhanlou is a faculty member at the Department of Mathematics , University of California, Berkeley , where he has been since 1991. His academic roles include serving as an Equity Advisor in the university's Senate Faculty and teaching advanced courses such as Math 270: Topics in Symplectic Geometry , Math 219: Dynamical Systems , and Math 279: Stochastic PDEs . He has also contributed to lecture notes on Symplectic Geometry, Dynamical Systems, and Stochastic PDEs. Research Interests: Rezakhanlou's work spans probability theory , partial differential equations , and their intersections with mathematical physics . His research includes coagulation-fragmentation models , kintetic theory , stochastic processes , and homogenization . He has explored applications to Navier-Stokes equations , Hamilton-Jacobi equations , and symplectic geometry . Article Trends: His publications focus on stochastic PDEs , Hamilton-Jacobi equations , and coagulation models . Recent articles analyze random tessellations , metastability in zero-range processes , and kintetic descriptions of scalar conservation laws. Older works address equilibrium fluctuations , Smoluchowski equations , and random walks in random environments . Advising: He has advised multiple PhD students, including Haotian Gu (2023), Kyeongsik Nam (2020), and Chanwoo Oh (2019), among others since the 1990s.

Salah Mehdiمشاهده پروفایل

استاد

• Harmonic Analysis
• Representation Theory
• Lie Theory
• +۵ مورد دیگر

Professor Salah Mehdi is a distinguished mathematician at the University of Lorraine, where he serves as Head of the Analysis and Number Theory research team at the Institut Elie Cartan de Lorraine (IECL), a joint research unit (UMR 7502) of the CNRS. He also holds an Adjunct Professor position at Georgia Tech Europe. Previously, he has held positions at the University of Paris Ouest and has had visiting appointments at prestigious institutions worldwide including New York University Abu Dhabi, Oklahoma State University, Mathematisches Institut in Göttingen, and Tata Institute of Fundamental Research in Mumbai. Professor Mehdi completed his doctoral thesis in mathematics at Denis Diderot University - Paris VII in December 1996, followed by his accreditation to supervise research (Habilitation) in December 2004. His academic journey has included two full-time delegations to the CNRS (2012 and 2019-2020) and leadership roles including heading the mathematics department of the UFR MIM at the University of Lorraine (2014-2018). His research focuses on the deep connections between harmonic analysis on Lie groups, representation theory, and mathematical physics. Professor Mehdi's work spans Dirac operators on homogeneous spaces, Dirac cohomology, nilpotent orbits, quantization, and the spectral theory of locally symmetric spaces. His approach combines algebraic, geometric, and analytic techniques to address fundamental questions in modern mathematics. He has published 39 research papers with recent work concentrating on Dirac cohomology and its relationship to Howe's Θ-correspondence, approximation of nilpotent orbits, and the spectrum of semisimple locally symmetric spaces. Professor Mehdi actively contributes to the mathematical community through organizing international conferences such as 'Excursions in Mathematical Physics' (2024), 'Representation Theory and harmonic analysis' (2023), and 'Groups and representations' (2024), which honor prominent mathematicians in his field. As head of the Analysis and Number Theory team, he leads a vibrant research group of approximately fifty members including doctoral students, fostering the next generation of mathematicians in Lie theory and related areas. His research has significant implications for theoretical physics, particularly in understanding the mathematical structures underlying quantum mechanics and particle physics. Professor Mehdi continues to be an active contributor to both pure mathematics and its applications, maintaining collaborations with leading researchers worldwide including Pavle Pandžić, David Vogan, and Martin Olbrich.

Ilia Gaiurمشاهده پروفایل

پژوهشگر ارشد

• Geometry
• Differential Equations
• Riemann-Hilbert Correspondence
• +۲ مورد دیگر

Ilia Gaiur serves as a Research Fellow at the University of Geneva within Anton Alekseev's research group, focusing on advanced mathematical connections between geometry and differential equations. His work specifically targets the derivation of geometrical structures from the De-Rham framework of the Riemann-Hilbert correspondence, a fundamental relationship linking differential equations to monodromy representations. His research portfolio prominently features Geometry and Differential Equations as core disciplines, with specialized investigations into Riemann-Hilbert Correspondence structures, Integrability systems, and Poisson Geometry frameworks. This work contributes to theoretical mathematics through the exploration of geometric interpretations in differential equation solutions and symplectic structures. As an active member of Anton Alekseev's research team at the University of Geneva, Gaiur participates in collaborative projects examining deep mathematical structures at the intersection of geometry, topology, and mathematical physics, though specific laboratory facilities or team compositions are not detailed in available sources.

Ivan Cherednikمشاهده پروفایل

استاد

• Representation theory
• Mathematical physics
• Combinatorics
• +۸ مورد دیگر

Ivan Cherednik is a Professor in the Department of Mathematics at the University of North Carolina at Chapel Hill. His research spans multiple disciplines in mathematics and its applications. Representation theory Mathematical physics Combinatorics Number theory Algebraic geometry Low-dimensional topology Mathematical biology Quantitative finance Cherednik's work has been revolutionary in several areas of mathematics. He's known for defining Double Affine Hecke Algebras (DAHA) and proving Macdonald's conjectures in q-combinatorics. His research has produced new theories of hypergeometric functions, DAHA invariants of algebraic knots and links, and new developments in the theory of Rogers-Ramanujan identities. Recent publications show his continued research activity, with work in 2024 on R-matrix quantization of formal loop groups, superpolynomials of algebraic links, and connections between zeta-polynomials, superpolynomials, DAHA, and plane curve singularities. He has also applied his mathematical expertise to real-world problems, particularly in modeling the spread of the COVID-19 virus using Bessel functions and other mathematical approaches.

Boris A. Khesinمشاهده پروفایل

استاد

• Algebraic Geometry
• Differential Geometry
• Mathematical Physics
• +۳ مورد دیگر

Boris A. Khesin is a Professor of Mathematics at the University of Toronto, Faculty of Arts and Science, specializing in Algebraic and Differential Geometry, Poisson Geometry, and Hydrodynamics. Ph.D. from Moscow State University (1990), M.Sc. from Moscow State University (1986) Supervised by Vladimir Arnold His research focuses on geometric and topological methods in fluid dynamics, infinite-dimensional Lie groups, and integrable systems. Current teaching includes courses on Calculus, Hamiltonian Mechanics, and Lie Groups applied to Hamiltonian PDEs. Recent publications address curvatures of diffeomorphism groups, helicity in 3D hydrodynamics, and geometric aspects of optimal transport Collaborations span institutions like Princeton, Yale, UC Berkeley, and the Simons Center He was awarded the Aisenstadt Prize in 1997 and maintains active roles in mathematical education and international research networks.

• automorphic forms
• representation theory
• number theory

Melissa Emory serves as an Assistant Professor in the Department of Mathematics at Oklahoma State University's College of Arts and Sciences. Previously, she held an NSF Postdoctoral Fellowship at the University of Toronto under James Arthur and completed her PhD at the University of Missouri in 2018 under Shuichiro Takeda. Her academic journey includes: PhD in Mathematics, University of Missouri (2018) Dr. Emory's research centers on automorphic forms, representation theory, and number theory, with specialized focus on the Gan-Gross-Prasad conjecture, Sato-Tate distributions, and general spin groups. Her work bridges abstract representation theory with concrete Diophantine problems, emphasizing multiplicity one theorems and endoscopic classification. She actively contributes to foundational questions in automorphic representations and their arithmetic applications. Analysis of her publications reveals consistent exploration of automorphic L-functions and their distribution properties, with recent work expanding into Jacobian varieties and Poisson summation techniques. Her research trajectory demonstrates increasing collaboration across international institutions while maintaining core focus on representation-theoretic approaches to number theory. Her scientific recognition includes: NSF Postdoctoral Fellowship As faculty adviser for the OSU Chapter of the Association for Women in Mathematics, she supports gender equity in mathematics. She organizes major conferences including the Automorphic Forms Workshop (2024), TORA XIV (2025), and the James Arthur Legacy Conference (2025), creating platforms for emerging researchers. Her teaching includes actuarial science courses with direct industry exam preparation components. Dr. Emory maintains active leadership in the automorphic forms community through conference organization, collaborative research, and mentorship initiatives that connect theoretical mathematics with practical career development.

Oliver T Johnsonمشاهده پروفایل

استاد

• Information Theory
• Probability Theory
• Statistics
• +۴ مورد دیگر

Professor Oliver T Johnson is Head of the School of Mathematics at the University of Bristol. His research spans probability theory, statistics, and information theory, with both theoretical and applied focuses. Develops theoretical frameworks for entropy properties in limit theorems (Central Limit Theorem, Poisson convergence) Works on group testing algorithms and their information-theoretic capacities Applies information theory to communication systems (interference alignment, spectrum sensing) His research outputs include foundational work on discrete analogues of entropy inequalities and converse bounds for inference problems. Current projects explore efficient algorithms for change-point detection and information geometry of graphs. He actively supervises PhD students and engages in public outreach through media appearances and educational talks. Recent collaborative projects include: Interdisciplinary work with Electrical Engineering and Computer Science Investigations into discrete transport equations and Shepp-Olkin conjectures Applications of group testing to spectrum sensing and epidemic modeling

Filippo Bracciمشاهده پروفایل

استاد

• Geometric Function Theory
• Iteration Theory and Commuting Holomorphic Maps
• Holomorphic Foliations
• +۵ مورد دیگر

Filippo Bracci is a Full Professor at the Department of Mathematics , University of Rome Tor Vergata . His work focuses on geometric function theory, holomorphic dynamics, and complex analysis in higher dimensions, with applications to semigroups of holomorphic maps and Loewner equations. Research Interests include geometric function theory, iteration theory, holomorphic foliations, complex Monge-Ampère equations, and visibility properties in convex domains. He has contributed to understanding holomorphic evolution equations and their connections to dynamical systems. Grants : Principal Investigator for ERC Starting Grant 277691 (HEVO) and multiple PRIN projects (2007–2022) on complex manifolds and dynamics. Editorial Roles : Member of editorial boards for journals such as Computational Methods and Function Theory , Bulletin des Sciences Mathématiques , and Complex Analysis and Operator Theory . Leadership : Vice-President of INdAM (Istituto Nazionale di Alta Matematica) and involved in organizing seminars and academic programs.

Benedikt Wirthمشاهده پروفایل

استاد

• Optimisation and calculus of variations
• image processing
• scientific computing
• +۹ مورد دیگر

Prof. Dr. Benedikt Wirth is a Professor of Mathematics at the University of Münster, Germany, affiliated with the Institute for Analysis and Numerics within the Department of Mathematics and Computer Science. He is an active researcher and educator specializing in optimization and calculus of variations, with significant contributions to mathematical imaging and shape analysis. His research interests include image processing, scientific computing, numerical analysis, optimization, shape spaces, geodesics in shape space, variational methods, elastic deformation, and optimal transport. Wirth has developed innovative mathematical frameworks for shape analysis, particularly focusing on Riemannian metrics for shape spaces and variational approaches to shape comparison and optimization. His recent publications (2023-2025) demonstrate continued leadership in mathematical optimization, with particular focus on PET reconstruction, dimension reduction techniques, manifold embeddings, and branched transport theory. His work bridges theoretical mathematics with practical applications in medical imaging and computer vision, showing particular strength in connecting geometric analysis with computational methods. CRC 1450 - A05: Targeting immune cell dynamics by longitudinal whole-body imaging and mathematical modelling CRC 1450 - A06: Improving intravital microscopy of inflammatory cell response by active motion compensation EXC 2044 - C1: Evolution and asymptotics EXC 2044 - C2: Multi-scale phenomena and macroscopic structures EXC 2044 - C3: Interacting particle systems and phase transitions EXC 2044 - C4: Geometry-based modelling, approximation, and reduction Prof. Wirth actively supervises numerous bachelor's and master's students, with over 40 theses completed under his guidance since 2015. His teaching portfolio includes courses on inverse problems, numerical methods for partial differential equations, shape spaces, optimization, and optimal transport. He has consistently maintained an active research program while contributing significantly to the education of the next generation of mathematicians.