جست‌وجوی استاد و پژوهشگر

Ian Ticeمشاهده پروفایل

استاد

• Nonlinear Partial Differential Equations
• Fluid Mechanics
• Interfacial Fluid Mechanics
• +۶ مورد دیگر

Ian Tice is a Professor in the Department of Mathematical Sciences at Carnegie Mellon University. His research focuses on the analysis of nonlinear partial differential equations, particularly those arising in physics such as interfacial fluid mechanics and the Ginzburg-Landau model of superconductivity. Education: Ph.D. in Mathematics, Courant Institute, New York University Postdoctoral Appointments: Université Paris-Est Créteil, Laboratoire d'Analyse et de Mathématiques Appliquées Postdoctoral Appointments: Brown University, Division of Applied Mathematics Research Interests: Ian Tice specializes in the analysis of nonlinear partial differential equations , with particular focus on free and moving boundary problems , fluid mechanics , and vortices in superconductors . His work often involves the calculus of variations and tools from function space theory . He studies how singularities behave in physical systems, including surfaces of discontinuity in fluids and point singularities known as vortices in superconductors. Recent Research Trends: Professor Tice's recent work has centered on traveling wave solutions to free boundary problems in fluid dynamics, particularly for the Navier-Stokes equations. His research explores well-posedness, stability, and the behavior of solutions under various conditions including vanishing viscosity and surface tension limits. He has developed novel analytical techniques involving anisotropic Sobolev spaces and Nash-Moser implicit function theorems to address these challenging problems. Scientific Awards: Julius Ashkin Teaching Award (2019) NSF CAREER Award Research Support and Mentoring: Professor Tice has mentored numerous students and postdocs in the field of partial differential equations. His research has been supported by prestigious grants including the NSF CAREER Award. He has collaborated extensively with researchers including Yan Guo, Noah Stevenson, and others on fundamental problems in fluid dynamics and mathematical physics. His work has appeared in top journals including Archive for Rational Mechanics and Analysis, SIAM Journal on Mathematical Analysis, and Communications on Pure and Applied Mathematics. Research Environment: Professor Tice is affiliated with the Center for Nonlinear Analysis at Carnegie Mellon University, which provides a vibrant research environment for the study of nonlinear phenomena in mathematics and its applications. His work contributes to the center's mission of advancing the understanding of nonlinear partial differential equations and their applications to physical problems.

Miroslav Bulíčekمشاهده پروفایل

دانشیار

• Partial differential equations
• Continuum thermodynamics
• Mathematical modelling
• +۳ مورد دیگر

Miroslav Bulíček is an Associate Professor at the Mathematical Institute of the Faculty of Mathematics and Physics, Charles University in Prague, Czech Republic. He has been with Charles University since 2006, progressing from Researcher to Senior Assistant Professor (2012-2021) and currently serving as Associate Professor since January 2022. He is also a Senior Researcher at the University Center for Mathematical Modeling, Applied Analysis and Computational Mathematics (MathMac) since 2014. His educational background includes a habilitation in Mathematics-Mathematical Analysis from Charles University (2021), a Ph.D. in Mathematical and Computational Modeling from Charles University (2003-2006), and a Master's degree in Mathematical modeling in physics and technology from Charles University (1998-2003). Bulíček's research focuses on Partial differential equations, Continuum thermodynamics, and Mathematical modelling . His work primarily addresses the mathematical analysis of nonlinear systems describing flows of incompressible fluids, with particular emphasis on thermodynamically compatible models, implicit constitutive relations, and viscoelastic rate-type fluids. He has made significant contributions to the understanding of existence, uniqueness, and regularity of solutions to complex fluid models, especially those describing far-from-equilibrium systems in continuum thermodynamics. His recent publications demonstrate a strong focus on advanced mathematical analysis of fluid models with applications in material sciences. The research trends show increasing sophistication in handling non-Newtonian fluids, stress-diffusion phenomena, and thermodynamically consistent models. His work bridges pure mathematical analysis with practical applications in continuum mechanics, particularly in the analysis of viscoelastic rate-type fluids with stress diffusion. NEURON Fund for Support of Science Award (2012) for the project "Qualitative analysis of incompressible Navier-Stokes-Fourier equations" Czech Mathematical Society Award for young researchers (2014) for publications during 2009-2013 Bulíček has successfully supervised multiple PhD students including Mark Dostalík, Michael Zelina, Michal Bathory, and Tomáš Los. He serves as principal investigator for the GAČR project 20-11027X "Mathematical analysis of partial differential equations describing far-from-equilibrium open systems in continuum thermodynamics" (2020-present). His research has been supported by various grants including GAČR project 18-12719S, GAČR 16-03230S, and ERC-CZ no. LL1202, demonstrating sustained funding for his research program. He is actively involved in the University Center for Mathematical Modeling (MathMac) and has organized several international conferences and workshops, including the "Modelling, partial differential equations analysis and computational mathematics in material sciences" conference in Prague (2024) and the "Mathematical Aspects of Fluid Flows" EMS School in Kácov (2024), contributing significantly to the mathematical community in fluid dynamics and partial differential equations.

David Shermanمشاهده پروفایل

دانشیار

• Functional Analysis
• Operator Algebras
• Noncommutative Lp Spaces
• +۴ مورد دیگر

David Sherman is an Associate Professor in the Department of Mathematics at the University of Virginia, part of the College of Arts & Sciences. His research focuses on functional analysis and operator algebras, with specialized interests in noncommutative L p spaces, operator theory within von Neumann algebras, model theory of operator algebras, and noncommutative convexity. He has contributed to foundational studies of noncommutative L p spaces, isometries between operator algebras, and applications of logic to operator algebras. Recent teaching includes advanced calculus, linear algebra, and operator theory courses. His work bridges pure mathematics with interdisciplinary themes, such as applying set-theoretic methods to algebraic structures and exploring connections between operator algebras and logic. Sherman has co-authored significant papers on topics like support expansion C*-algebras and quantization of coarse spaces, reflecting his expertise in modern operator theory. His research outputs emphasize structural properties of operator algebras, with notable contributions to the classification of II₁ factors and model-theoretic approaches to noncommutative systems. While no specific awards are listed, his extensive publication record and teaching roles highlight his academic impact. Sherman maintains administrative involvement in undergraduate mathematics programs and graduate initiatives at UVA.

Jordan Cotlerمشاهده پروفایل

استادیار

• Quantum Information
• Quantum Computation
• Quantum Gravity
• +۵ مورد دیگر

Jordan Cotler is an Assistant Professor of Physics at Harvard University, affiliated with the Department of Physics within the Faculty of Arts and Sciences. He holds a BS in physics and mathematics from MIT (2015) and a PhD in physics from Stanford University (2020). Before joining Harvard's faculty, he served as a Junior Fellow at the Harvard Society of Fellows from 2020 to 2024. His research focuses on the intersection of quantum information, computation, and spacetime physics. Key interests include quantum algorithms for analyzing many-body and quantum gravitational systems, information-theoretic frameworks for chaotic dynamics, and non-perturbative methods in quantum cosmology and field theory. Cotler's work has advanced quantum algorithm design for experimental platforms and contributed to understanding black hole microstructure and cosmological spacetimes. He has been recognized with prestigious early-career awards, including his Harvard Society of Fellows Junior Fellowship. His publications span foundational topics such as quantum gravity, holography, computational complexity, and quantum chaos, reflecting a multidisciplinary approach to theoretical physics.

Jonathan Novakمشاهده پروفایل

دانشیار

• Algebraic Combinatorics
• Special Functions
• Random Matrices
• +۳ مورد دیگر

Jonathan Novak is an Associate Professor of Mathematics at the University of California San Diego (UCSD). His research focuses on the combinatorial structure and high-dimensional behavior of multivariate special functions in random matrix theory, representation theory, and mathematical physics. He serves on the editorial board of the open-access journal Algebraic Combinatorics . Key research interests include algebraic combinatorics, special functions, and their intersections with random matrices and mathematical physics. His work explores combinatorial structures in high-dimensional spaces, asymptotic analysis of integrals, and connections between probability theory and algebraic structures. Recent publications emphasize topics like Berezin-Karpelevich integrals, quasimodular asymptotics, and topological expansions in matrix models. These studies highlight advancements in understanding complex systems through combinatorial and probabilistic lenses. No scientific awards are explicitly mentioned in the provided information. His contributions extend to editorial work and advancing interdisciplinary research in algebraic combinatorics and mathematical physics.

Christian Ikenmeyerمشاهده پروفایل

استاد

• Computational Complexity
• Algebraic Combinatorics
• Geometric Complexity Theory
• +۲ مورد دیگر

Christian Ikenmeyer is Professor in Computer Science and Mathematics at the University of Warwick. His research focuses on algebraic complexity theory, geometric complexity theory (GCT), and representation theory, with emphasis on tensor rank, Kronecker coefficients, and polynomial identity testing. Research Focus: Dr. Ikenmeyer develops mathematical frameworks to solve fundamental problems in computational complexity, including P vs NP. His work connects representation theory with algebraic geometry to establish complexity lower bounds and classify computational hardness. Leadership: He organizes workshops on algebraic complexity and GCT, including the 2023 Algebraic Complexity Theory Workshop at ICALP. His research is funded by EPSRC and DFG grants, supporting investigations into homogeneous complexity and branching programs. Teaching: Courses include 'Groups and Representations' and programming contest coaching. He has previously taught at MIT, Texas A&M, and Saarland University, developing lecture notes on GCT.

Christoph Schweigertمشاهده پروفایل

استاد

• Tensor categories
• Hopf algebras
• Topological field theories
• +۵ مورد دیگر

Christoph Schweigert is full Professor (W3) of Mathematics at the University of Hamburg , based in the Department of Mathematics within the Faculty of Mathematics, Informatics and Natural Sciences (MIN-Fakultät). Since 2003 he has held this permanent chair, and he currently serves as a Principal Investigator and Area Coordinator for Quantum Theories in the Cluster of Excellence “Quantum Universe” . In addition he is a member of the Centre for Mathematical Physics , the DFG Collaborative Research Centre SFB 1624 and the Research Training Group 1670 “Mathematics inspired by string theory and quantum field theory” . Education & Career Path: 1987–1992: Degree in Physics, Universität Heidelberg 1995: PhD in Mathematics, University of Amsterdam (supervisor: Robbert Dijkgraaf) 1995–1996: Postdoc, IHÉS, Bures-sur-Yvette 1997–1998: Fellow, CERN, Geneva 1999–2002: Lecturer (tenured), LPTHE, Université Paris 6; Habilitation 2000 2002–2003: Professor (C3) for Physics, RWTH Aachen Since 2003: Professor (W3) for Mathematics, Universität Hamburg Research Interests: Schweigert’s work lies at the intersection of algebra, category theory, topology and mathematical physics . He focuses on tensor categories , Hopf algebras and quantum groups , topological and conformal field theories , string-net models , and modular functors . These structures find applications in quantum topology, knot theory, 3-manifold invariants, quantum codes and quantum information theory . Editorial & Service Roles: Editor, Communications in Mathematical Physics (since 2017) Editor, Letters in Mathematical Physics (since 2009) Editor, Journal of Mathematical Physics (since 2006) Editor, Springer book series Algebra and Applications (since 2005) Spokesperson/Deputy spokesperson, DFG-RTG 1670 Member, steering committee, DFG Priority Program “Representation theory” Henriette-Herz scout for the Humboldt Foundation (since 2020) Teaching & Supervision: Schweigert regularly teaches advanced courses in linear algebra, Hopf algebras, quantum groups and topological field theory at bachelor, master and graduate levels. He organises the research seminar Algebra and Mathematical Physics and the joint seminar Quantum Physics and Geometry . Office hours are by appointment via email. Laboratory & Research Group: He leads an active research group based in the Geomatikum building (Room 313), collaborating closely with PhD students, postdocs and visiting researchers on projects in tensor categories, TQFT and related areas.

Paul Wedrichمشاهده پروفایل

استاد

• Low-Dimensional Topology
• Representation Theory
• Topological Quantum Field Theories (TQFTs)
• +۶ مورد دیگر

Paul Wedrich is a Professor (permanent W2) at the Department of Mathematics, University of Hamburg. He is a member of the management committee for the Collaborative Research Center Higher Structures, moduli spaces and integrability , a PI in the Cluster of Excellence Quantum Universe , and spokesperson for the Mathematisches Seminar der Universität Hamburg . He coordinates the Erasmus+ programme and serves as an equal opportunity representative at his department. His research bridges low-dimensional topology, representation theory, and mathematical physics, with a focus on topological quantum field theories (TQFTs), categorified quantum invariants, and higher structures in link homology. He has developed diagrammatic frameworks for categorification, including Soergel bimodules and gl(N) link homology theories, and explores connections to Hilbert schemes, skein modules, and quantum topology. The 15 most recent articles highlight his work on categorified braid group actions, Kirby colors in Khovanov homology, skein lasagna modules for 4-manifolds, and deformations of colored link homologies. These contributions span quantum algebra, category theory, and geometric representation theory, with applications to topological field theories and mathematical physics. Scientific awards include Fellow of the Higher Education Academy and recognition as Lecturer of the Semester (Summer 2022) at the University of Hamburg. He supervises doctoral researchers and co-organizes international workshops and conferences, such as the Quantum Topology and Categorification (QTcat) seminar. His teaching portfolio includes advanced courses on representation theory, algebra, and quantum topology.

• Algebra
• Combinatorics
• Integrable Systems
• +۲ مورد دیگر

Takeshi Ikeda is a Professor at Okayama University of Science , Faculty of Science and Engineering, Department of Applied Mathematics. His research spans algebraic geometry, combinatorics, and representation theory, with a focus on Schubert calculus and integrable systems. Education: Ph.D. in Natural Science from Tohoku University (1996). Sub-affiliations: Graduate School of Fundamental Science and Engineering, Waseda Research Institute for Science and Engineering (2024–2026). Ikeda's research explores the combinatorial and algebraic properties of Schubert classes in equivariant quantum cohomology rings, particularly for isotropic Grassmannians. His work connects Pfaffian formulas, Chern classes, and tautological bundles to Schubert calculus, with applications to conformal field theory and integrable systems. Recent publications highlight trends in K-theory and equivariant cohomology , including studies of affine Grassmannians, Schur functions, and degeneracy loci. Articles from 2024–2025 emphasize quantum cohomology, Peterson isomorphism, and symplectic geometry.

Matthias Oliver Wilhelmمشاهده پروفایل

دانشیار

• Quantum Field Theory
• Mathematical Physics
• Special Functions
• +۳ مورد دیگر

Matthias Oliver Wilhelm is an Associate Professor in the Department of Mathematics and Computer Science at the University of Southern Denmark, affiliated with the Quantum Mathematics research group. His work focuses on advanced theoretical physics topics including scattering amplitudes in gauge/gravity theories, Feynman integrals, special functions, and applications of machine learning in physics. He has contributed to groundbreaking research at the intersection of quantum field theory and mathematical physics, particularly in understanding gravitational wave phenomena and high-energy particle interactions. Research Interests: His research combines quantum field theory with algebraic geometry and computational methods, exploring topics like elliptic Feynman integrals, post-Minkowskian expansions, and machine learning-driven amplitude calculations. Recent work includes leveraging Calabi-Yau manifolds for gravity-related Feynman integrals and developing transformer-based algorithms for scattering amplitude computations. Awards: He received the Velux Grant - Villum Young Investigator in 2018, recognizing his innovative contributions to theoretical physics. Projects: Leveraging Algebraic Geometry for High-Precision Fundamental Physics (2024-2028, DFF-funded) Thermodynamics of strongly coupled Quantum Field Theory (2019-2027, private foundation-funded) Key Themes in Recent Work: His articles emphasize novel computational techniques (e.g., machine learning for integration-by-parts reduction), formal developments in scattering amplitude theory, and geometric approaches to quantum gravity problems. Notable contributions include classifying Feynman integral geometries for black-hole scattering and advancing elliptic function methodologies in perturbative QFT.

Daniel Kressnerمشاهده پروفایل

استاد

• Numerical Linear Algebra
• High-Performance Computing
• Matrix Equations
• +۴ مورد دیگر

Prof. Daniel Kressner is a Professor at the École Polytechnique Fédérale de Lausanne (EPFL), holding positions in the School of Basic Sciences (SB), Mathematics Institute (MATH), and the Numerical Algorithms and High-Performance Computing (ANCHP) group. He also leads the SMA-ENS unit within the SB-SMA division. His research focuses on numerical linear algebra, high-performance computing, and tensor approximation methods, with applications in scientific computing and data science. Education details are not explicitly listed, but his career at EPFL includes leadership in key research groups and doctoral programs. He supervises multiple doctoral students, including Alice Cortinovis, Peter Effenberger, and others. Research interests emphasize low-rank methods, matrix equations, and efficient algorithms for large-scale problems. Recent work includes advancements in randomized algorithms, tensor networks, and preconditioning techniques for eigenvalue problems. His publications span high-impact journals like Siam Journal on Matrix Analysis and Applications and Numerical Linear Algebra with Applications, addressing topics such as compressed sensing, multigrid methods, and distributed signal processing. Prof. Kressner advises doctoral candidates and contributes to the Program doctoral Mathématiques (EDMA-GE) committee. His lab, ANCHP, develops software tools for hierarchical matrices and tensor computations, such as the hm-toolbox for HODLR and HSS matrices.

Bernd Sturmfelsمشاهده پروفایل

استاد

• Algebraic Geometry
• Combinatorics
• Commutative Algebra
• +۴ مورد دیگر

Bernd Sturmfels is a leading mathematician serving as Director of the Max Planck Institute for Mathematics in the Sciences in Leipzig since 2017. He is also Professor Emeritus of Mathematics, Statistics, and Computer Science at the University of California, Berkeley, and holds honorary professorships at the Technical University of Berlin and the University of Leipzig. His research bridges pure and applied mathematics, with foundational contributions to algebraic geometry, combinatorics, and computational biology. Education: Sturmfels earned dual Ph.D. degrees in 1987 from the University of Washington and Technische Universität Darmstadt, followed by an honorary doctorate from Goethe University Frankfurt in 2015 and additional honorary doctorates from the University of Bern (2023) and the University of Chicago (2024). Research Interests: His work spans algebraic geometry , combinatorics , commutative algebra , algebraic statistics , convex optimization , and computational biology . He explores deep connections between abstract algebraic structures and practical applications in statistics, optimization, and the life sciences. Publications and Trends: With over 300 research articles and 11 books, his recent work (2022–2025) focuses on advanced topics like Grassmannian geometry, tropical implicitization, quantum chemistry applications, and algebraic statistics. His research increasingly integrates computational methods with theoretical insights, addressing problems in machine learning, phylogenetics, and optimization. Awards and Honors: Sturmfels has received numerous prestigious awards, including: George David Birkhoff Prize in Applied Mathematics (2018) SIAM von Neumann Lecturership (2010) Humboldt Senior Research Prize (2007–2008) David and Lucile Packard Fellowship (1992–1997) Fellowships of the AMS and SIAM Membership in the Berlin-Brandenburg Academy of Sciences and Humanities Mentoring and Grants: He has supervised 60 doctoral students and numerous postdocs, with many securing positions at leading institutions. His mentoring philosophy emphasizes diversity and excellence, as highlighted in his Notices of the AMS article. Funding sources include the NSF, DARPA, and the German National Science Foundation (DFG). Labs and Teams: At the Max Planck Institute, he leads the Nonlinear Algebra group, fostering interdisciplinary collaboration between mathematics and the sciences. His team focuses on developing algebraic methods for data analysis, optimization, and theoretical physics.

David Strüttمشاهده پروفایل

مدرس پاره‌وقت

• Mathematics
• Differential Equations
• Calculus
• +۳ مورد دیگر

David Strütt is a Swiss mathematician affiliated with École Polytechnique Fédérale de Lausanne (EPFL) as a Part-Time Lecturer in the Mathematics Section (SMA-GE) and Teaching Support roles. He has been active in academic and teaching support since 2008. Bachelor (2012) and Master (2013) in Mathematics from EPFL Doctorate (2018) under Prof. B. Dacorogna at EPFL Post-Doc (2018-2019) at EPFL Current roles: Teaching Support for Analysis courses and Communication Officer for MATH His research focuses on differential equations, vector analysis, and nonlinear mathematical problems. He has contributed to educational materials in analysis and holds a self-proclaimed Swiss record for binary adder construction using dominoes. 2018 publication in Differential and Integral Equations 2024 submitted work on tensor equations He coordinates teaching assistants for analysis courses and is involved in educational outreach through the Propedeutic Centre at EPFL.

Gregor Schaumannمشاهده پروفایل

پژوهشگر

• Quantum algebra
• Low-dimensional topology
• (Higher) category theory
• +۳ مورد دیگر

Gregor Schaumann is a researcher at the Chair of Mathematics X (Mathematical Physics) within the Institute of Mathematics at the University of Würzburg , Germany. He specializes in the interplay between algebra and topology, particularly focusing on quantum algebra, low-dimensional topology, and higher category theory. Research Interests : Topological field theories (TFTs) and associated manifold invariants Tensor categories and their representations Module categories and bimodule structures Higher categorical frameworks for mathematical physics Fusion categories and categorical quantum groups Orbifold constructions in TQFTs Scientific Contributions : His recent work includes foundational studies on Grothendieck-Verdier categories, fusion quivers, and generalized orbifolds in Reshetikhin-Turaev TQFTs. He has also advanced the understanding of Eilenberg-Watts calculus and pivotal tricategories. Teaching & Advising : Gregor supervises bachelor's and master's theses and teaches courses such as Linear Algebra for GMR teaching candidates , Introduction to Knot Theory , and seminars in algebraic topology and geometric mechanics. Collaborations : He collaborates with international researchers including Jürgen Fuchs, Ingo Runkel, Christoph Schweigert, and Nils Carqueville, with whom he co-organizes the Higher Structures & Field Theory Seminar .

Jesse Ratzkinمشاهده پروفایل

مدرس

• Geometric Analysis
• Differential Geometry
• Partial Differential Equations
• +۵ مورد دیگر

Jesse Ratzkin is a Lecturer at the University of Würzburg's Chair of Mathematics VI (Mathematics in the Natural Sciences). He holds a PhD from the University of Washington (2001) and a B.A. from UC Berkeley (1995). His research focuses on geometric analysis, including mean curvature, Q-curvature, eigenvalues of the Laplace-Beltrami operator, and isoperimetric inequalities. He has held academic positions globally, including a tenured role at the University of Cape Town (2010–2016). His research has been funded by grants such as the National Research Foundation of South Africa (2013–2016) and NSF fellowships. Notable publications include works on Q-curvature metrics, Sobolev inequalities, and geometric flows. He actively participates in academic service, including editorial roles and organizing international conferences. Teaching spans institutions like the University of Cape Town, where he designed courses in PDEs, linear algebra, and complex analysis. He has supervised PhD students like Murray Christian and mentored over 8 final-year projects. His outreach efforts include high school math programs in South Africa and Ireland.