جستجوی استاد راهنمای دانشگاهی

• Geometric Integration
• Structure-Preserving Algorithms
• Lie Group Integrators
• +۷ مورد دیگر

Hans Z. Munthe-Kaas is a Professor of Mathematics at the University of Bergen , Norway. His academic roles include Chair of the Abel Prize Committee , Editor-in-Chief of Foundations of Computational Mathematics , and President of the Norwegian Mathematical Society . As Project Leader for the Lie-Størmer Center and the RCN-Fripro CODYSMA project, he bridges pure and applied mathematics with computational science. Department of Mathematics, University of Bergen Editor-in-Chief, Foundations of Computational Mathematics Chair, Abel Prize Committee President, Norwegian Mathematical Society His research spans geometric integration , post-Lie algebras , and Lie-Butcher series , with applications in numerical analysis , stochastic differential equations , and combinatorial Hopf algebras . Recent publications focus on equivariant methods , symmetric spaces , and aromatic B-series . Earlier work includes parallel algorithms and coordinate-free numerics , leading to the development of the DiffMan MATLAB toolbox for manifold differential equations. Scientific contributions emphasize algebraic structures in numerical methods, with connections to renormalization , non-commutative symmetric functions , and spectral element methods using multivariate Chebyshev polynomials . Awards include the Esso prize (1999) . He teaches courses like Mat101 (Precalculus) and mentors students in advanced mathematical computation.

• Homotopy Theory
• Higher Category Theory
• Equivariant Homotopy Theory
• +۲ مورد دیگر

Tobias Lenz is a Researcher (postdoctoral academic) at the Mathematical Institute, University of Bonn , where he works in the Topology Group . He was previously a postdoc at the University of Utrecht (2022–2024) and the University of Bonn (2021–2022). He completed his PhD at the University of Bonn in 2021 under the supervision of Stefan Schwede . Education: PhD in Mathematics, University of Bonn (2021), supervised by Stefan Schwede Postdoc at University of Utrecht (2022–2024) Current Postdoc at University of Bonn (2021–present) Research Interests: Tobias’ research focuses on advanced topics in homotopy theory and higher categorical structures. Key areas include: Higher Category Theory: Exploring universality properties of span constructions and Barwick’s unfurling, which provide foundational insights into categorical structures. Equivariant Homotopy Theory: Investigating genuine vs. naïve symmetric monoidal G-categories, norms in equivariant homotopy, and parametrized semiadditivity. Algebraic K-Theory: Connecting global algebraic K-theory with Swan K-theory and studying its interactions with equivariant and parametrized homotopy. Global Homotopy Theory: Developing global model categories and topological André-Quillen cohomology, as well as parametrized stability and global spectra.

Dominique Guillotمشاهده پروفایل

دانشیار

• Matrix Analysis
• Combinatorial Matrix Theory
• Complex Analysis
• +۲ مورد دیگر

Dominique Guillot is an Associate Professor at the Department of Mathematical Sciences in the College of Arts & Sciences at the University of Delaware . He holds a B.Sc., M.Sc., and Ph.D. in Mathematics from Université Laval, and postdoctoral training from the University of Southern California and Stanford University. Research Interests include matrix analysis, combinatorial matrix theory, complex analysis, and their applications to data science and engineering. His work explores positivity preservation in matrices, critical exponents in graphs, and transformations of kernels and special functions. Publications span topics like matrix positivity preservers, total nonnegativity of GCD matrices, and applications to climate informatics and signal processing. Recent articles focus on fixed-dimensional matrix analysis and its interdisciplinary implications. Teaching involves courses such as Analytic Geometry and Calculus, Probability Theory, Linear Algebra, and Advanced Data Science techniques, with a focus on graduate and undergraduate education.

• Quantum Information Theory
• Operator Algebras
• Functional Analysis
• +۲ مورد دیگر

Magdalena Elena Musat is a full professor at the Department of Mathematical Sciences of the University of Copenhagen , holding a permanent faculty position. Her research spans Quantum Information Theory , Operator Algebras , and Mathematical Physics , with a focus on quantum channels, factorizable maps, and non-commutative structures. Her work includes collaborations with prominent researchers like Uffe Haagerup and Mikael Rørdam, addressing foundational problems in quantum mathematics and functional analysis . Publications highlight her contributions to the Connes Embedding Problem and classification of operator algebras. She serves as Head of Studies at the department, with affiliations to research groups QA (Analysis & Quantum), SPT (Statistics and Probability Theory), and QMATH (Center for Quantum Mathematics).

Jennifer McLoud-Mannمشاهده پروفایل

استاد

• Discrete Mathematics
• Knot Theory
• Tiling Theory
• +۳ مورد دیگر

Jennifer McLoud-Mann is a Dean and Professor in the School of Science, Technology, Engineering & Mathematics (STEM) at University of Washington Bothell . She earned her Ph.D. in Mathematics from the University of Arkansas (2002) and a B.S. in Mathematics from East Central University (1997). She joined UW Bothell in 2013 as a tenured associate professor after serving as Associate Dean at the University of Texas at Tyler. Education Ph.D., Mathematics, University of Arkansas (2002) B.S., Mathematics, East Central University (1997) Research Interests focus on discrete mathematics , including knot theory , tiling theory , and combinatorics . She actively involves undergraduate students in research, notably leading to the discovery of the 15th pentagon tiling of the plane in 2015 with David Von Derau. Her work spans geometric and algebraic domains, with publications on lattice stick numbers, fullerene extensions, and determinantal ideals. Recent publications highlight contributions to tiling theory (e.g., 2016 SIAM News article on pentagon tilings), knot theory (e.g., 2012-2005 studies on lattice stick numbers), and algebraic structures (2005 paper on Veronese rings). Earlier work (1998) explores astronomy education methodologies. Grants : Principal Investigator for the National Science Foundation (NSF) Research Experiences for Undergraduates (REU) grant, establishing UW Bothell's first NSF REU site in mathematics.

Michael K. Brownمشاهده پروفایل

دانشیار

• commutative algebra
• algebraic geometry

Michael K. Brown is an Associate Professor at Auburn University, with his office located in Parker Hall 235. His research specializes in commutative algebra and algebraic geometry, focusing on structural properties of algebraic systems and geometric interpretations. Dr. Brown's investigations span homological methods, singularity theory, and K-theoretic frameworks, often leveraging collaborations to advance these domains. His work primarily explores: Homological constructions in algebraic geometry (e.g., derived categories, matrix factorizations) K-theoretic invariants for singularities and noncommutative spaces Computational and combinatorial aspects of commutative algebra Analysis of his 15 most recent publications (2022-2025) reveals dominant themes in homological algebra (dg-algebras, free resolutions), singularity categories, toric geometry, and equivariant K-theory. Collaborative work features prominently, with frequent co-authors including Daniel Erman, Mark E. Walker, and Prashanth Sridhar. Research funding includes active NSF support through grants DMS-2302373 and DMS-2412042 . Dr. Brown also contributes to mathematical software, developing tools for multigraded algebra and Schur complex computations.

• Commutative Algebra
• Local Cohomology Modules
• Abstract Mathematics

Jennifer Kenkel is an Assistant Professor in the Mathematics department at Grinnell College. Her research focuses on commutative algebra, particularly local cohomology modules. Clare Boothe Luce Assistant Professor Research Interests: Commutative algebra Local cohomology modules Unique factorization domains Education: Ph.D., University of Utah (2019) Bachelor of Arts, Washington University in St. Louis (2013) Teaching: Courses taught include Linear Algebra and Abstract Algebra.

Mike Janssenمشاهده پروفایل

استاد

• Commutative Algebra
• Algebraic Geometry
• Graph Theory
• +۵ مورد دیگر

Dr. Mike Janssen is a Professor of Mathematics at Dordt University. He chairs the Department of Mathematics and Statistics and serves on the academic senate, with a focus on integrating faith and scholarship in his teaching and research. Research Interests: Commutative algebra, graph theory, and undergraduate research projects like the Game of Cycles Teaching Philosophy: Active/inquiry-based learning, mastery assessments, and open educational resources His work bridges abstract mathematics with practical applications, emphasizing the human side of mathematical discovery and collaboration. Recent projects include computational approaches to graph games and symbolic power containment problems. Award: Distinguished College or University Teaching Award (Iowa MAA) Mentored students: Anika Homan, Jocelyn Garcia, Jason Vander Woude, and others in peer-reviewed publications He advocates for early undergraduate research engagement and serves as executive secretary of the Association for Christians in the Mathematical Sciences.

Patricia Hershمشاهده پروفایل

استاد

• Combinatorics
• Algebraic Combinatorics
• Topological Combinatorics
• +۷ مورد دیگر

Patricia Hersh is a Professor in the Department of Mathematics at the University of Oregon, within the College of Arts and Sciences. She has previously held faculty positions at North Carolina State University and Indiana University-Bloomington, where she was promoted to Associate Professor with tenure. She earned her Ph.D. from MIT under Richard Stanley and completed postdoctoral studies at MSRI, the University of Michigan, and the University of Washington. Her research focuses on combinatorics, particularly its interactions with topology, commutative algebra, representation theory, and theoretical computer science. She is especially known for her work on combinatorial methods for studying topological structures with algebraic applications, including poset topology, shellability, and total positivity. The recent publications reflect a strong trend in algebraic and topological combinatorics, with significant work on poset topology, shellability, Bruhat order, and geometric lattices. Her research is supported by the Simons Foundation and multiple NSF grants, including DMS-195393, DMS-1500987, and the RTG grant DMS-2039316, which also funds her students. Ruth Michler Prize from the Association for Women in Mathematics (AWM) She has advised several Ph.D. students, including Annika Christiansen (current), Stephen Lacina, Chetak Hossan, Grace Stadnyk, Molly Lynch, Ruth Davidson, and Rebecca Swanson, many of whom have gone on to tenure-track positions. She is actively involved in organizing seminars and conferences such as the Cascade Lectures in Combinatorics (CALICO) and has served on the editorial boards of prestigious journals including Forum of Mathematics PI, Forum of Mathematics SIGMA, Springer Graduate Texts in Mathematics, Proceedings of the AMS, and SIAM Journal on Discrete Mathematics. She is also engaged in academic service, including co-editing books on the mathematical legacy of Richard P. Stanley, and is committed to teaching, offering courses in mathematical cryptography and enumerative combinatorics.

Vladislav Karginمشاهده پروفایل

دانشیار

• Probability Theory
• Mathematical Physics
• Combinatorics
• +۵ مورد دیگر

Vladislav Kargin is an Associate Professor at the Department of Mathematics and Statistics, Binghamton University. His research bridges Probability Theory with Mathematical Physics , Combinatorics , and Algorithm Theory . Research Trends : His publications over the last two decades focus on random matrices, free probability, quantum walks, and stochastic processes in combinatorial and physical contexts. Education : PhD in Mathematics (2008) from the Courant Institute, NYU, advised by Gerard Ben Arous, with a thesis on Limit Theorems in Free Probability Theory . Key Contributions : Kargin has advanced understanding of Lyapunov exponents, eigenvalue distributions, entropy in ribbon tilings, and quantum hypothesis testing efficiency. His work often connects abstract probability theory to practical problems in physics and computer science.

Jan Snellmanمشاهده پروفایل

دانشیار

• Algebraic Combinatorics
• Commutative Algebra
• Representation Theory
• +۷ مورد دیگر

Jan Snellman is an Associate Professor (Docent) in the Department of Mathematics at Linköping University, affiliated with the Algebra, Geometry and Discrete Mathematics (ALGD) division. He holds a permanent academic position and is actively involved in teaching and research. PhD, Stockholm University, 1998 Postdoctoral positions at École Polytechnique (France) and University of Wales, Bangor (UK) Permanent faculty at Linköping University since October 2005 His research lies at the intersection of algebra and combinatorics, with a focus on algebraic combinatorics, commutative algebra, representation theory, and arithmetical functions. He has made significant contributions to the study of Gröbner bases, combinatorial structures in algebra, and convolutions on arithmetical functions, including the ternary convolution. His work often bridges abstract algebra with enumerative and discrete methods. The most recent publications and preprints (2024–2025) reflect ongoing research in poset probability, convolutions, blocking ideals, and generating functions, indicating sustained scholarly activity. Earlier works from 2003–2007 explore saturated chains, Laplacians on multicomplexes, and unitary convolutions, showing a long-standing interest in combinatorial algebra and number-theoretic functions. The research consistently engages with algebraic structures derived from combinatorial objects. Jan Snellman has supervised multiple graduate students, including PhD candidates Jonna Gill, Mikael Hansson, and Vincent Umutabazi. He has also guided numerous Master’s and candidate thesis projects in areas such as concave partitions, phylogenetic analysis, and Gröbner basis algorithms. His supervision spans both theoretical algebra and applied combinatorics. He has not received any explicitly mentioned scientific awards in the provided text. Jan Snellman is a member of the Algebra, Geometry and Discrete Mathematics (ALGD) research group at Linköping University, which focuses on algebra, geometry, topology, combinatorics, and graph theory. The group includes about twenty researchers and doctoral students, fostering a collaborative environment for advanced mathematical research.

Vladimir Tkatjevمشاهده پروفایل

دانشگاهی

• Nonassociative Algebras
• Minimal Submanifolds
• Quasilinear Elliptic Partial Differential Equations
• +۱۰ مورد دیگر

Vladimir Tkatjev is a Senior Associate Professor at Linköping University, affiliated with the Department of Mathematics (MAI) and the Division of Analysis and Mathematics Education (ANDI). He has a distinguished academic background, holding a Habilitation (Doktor fiz.-mat. nauk) from the Sobolev Institute of Mathematics (1998) and a Docent title from Linköping University (2014). His research spans several interconnected areas of pure and applied mathematics. His primary interests include: Nonassociative Algebras : Investigating their structure, identities (e.g., the universality of 1/2 in the Peirce spectrum), and connections to other fields. Geometric Analysis : Focusing on minimal submanifolds, minimal cones, surfaces of prescribed mean curvature, and the regularity of solutions to nonlinear elliptic PDEs. Applied Mathematics : Developing and analyzing mathematical models for population dynamics and epidemiology, particularly SIR models with coinfection and density dependence. Potential Theory : Studying quadrature domains, harmonic moments, lemniscates, and the exponential transform. His recent publications (2019-2024) reveal a strong trend of integrating algebraic methods (especially from nonassociative algebras) to solve problems in geometric analysis and PDEs, while maintaining an active parallel research line in mathematical biology. This demonstrates a unique interdisciplinary approach that bridges abstract algebra and concrete applications. His scientific achievements have been recognized with several prestigious awards, including: Award of the President of the Russian Federation (2000) Honor Soros Docent (1997) Winner of the Alexander Vasiliev Award (2018) Gold medal from Volgograd State University (1985) Vladimir Tkatjev has secured significant research funding as a supervisor for projects on quasilinear PDEs and minimal surfaces, and as a participant in international networks like ESF's HCAA and grants from Vetenskapsrådet and the Swedish Royal Academy of Sciences. He is also a member of the editorial board for the Science Journal of VolSU. Mathematics. Physics. He leads the 'Vladimir G. Tkachev's Lab' at Linköping University, focusing on the intersection of algebra, analysis, and their applications.

Palle Jorgensenمشاهده پروفایل

استاد

• Mathematical Analysis
• Harmonic Analysis
• Functional Analysis
• +۱۰ مورد دیگر

Palle Jorgensen is a Professor in the Department of Mathematics at The University of Iowa, with additional affiliation in the interdisciplinary Ph.D. program in Applied Mathematical and Computational Sciences. His work bridges pure and applied mathematics, with a strong emphasis on operator theory, harmonic analysis, and wavelets. University: The University of Iowa Department: Department of Mathematics Affiliation: Applied Mathematical and Computational Sciences (interdisciplinary Ph.D. program) His research interests span a wide range of topics in mathematical analysis, including functional analysis, operator algebras, representation theory, wavelets, fractals, and mathematical physics. He explores the interplay between discrete and continuous domains, particularly in signal processing and spectral theory. His work often involves the use of operator algebras and dynamical systems to analyze wavelets and fractal measures. The recent publications highlight a consistent focus on spectral theory, fractals, wavelet transforms, and operator algebras. Key themes include harmonic analysis on fractals, spectral duality, Cuntz algebras, and the spectral properties of graph Laplacians. His collaborations, especially with Dorin E. Dutkay and Myung-Sin Song, reflect a deep engagement with both theoretical developments and their applications in signal processing and mathematical physics. Palle Jorgensen serves on the editorial boards of several prominent journals, including: Complex Analysis and Operator Theory Acta Applicandae Mathematicae Journal of Applied Mathematics & Computing He has authored and co-authored influential textbooks such as Wavelets through a Looking Glass: The World of the Spectrum and Analysis and Probability: Wavelets, Signals, Fractals , which are widely recognized in the mathematical community. His research is supported by grants from the U.S. National Science Foundation, underscoring its significance and impact. He maintains an active presence in the academic community through conference organization, editorial work, and public dissemination of wavelet theory and its connections to broader mathematical and scientific domains.

Oliver Pechenikمشاهده پروفایل

استادیار

• Algebraic Combinatorics
• Schubert Calculus
• K-Theory
• +۴ مورد دیگر

Oliver Pechenik is an Assistant Professor in the Department of Combinatorics & Optimization at the University of Waterloo, with a cross-appointment in Pure Mathematics. His research focuses on algebraic combinatorics, particularly Schubert calculus and K-theory, with contributions to crystal graphs, tableau combinatorics, and cyclic sieving phenomena. He completed his PhD at the University of Illinois at Urbana-Champaign, followed by postdoctoral positions at Rutgers University and the University of Michigan. Education: PhD in Mathematics, University of Illinois at Urbana-Champaign (2016) Bachelor’s degree from Oberlin College (2010) Research Interests: Algebraic Combinatorics, Schubert Calculus, K-Theory, Crystal Graphs, Tableau Algorithms, Cyclic Sieving. Key Contributions: Developed new Littlewood-Richardson rules and crystal structures for Grothendieck polynomials. Proved the Cameron-Fon-Der-Flaass conjecture on plane partition periodicity. Advanced combinatorial K-theory via genomic tableaux and glide polynomials. Contributed to the study of plabic graphs and web bases in representation theory. Awards & Fellowships: Philippe Tondeur Dissertation Prize (2016) NSF Research Fellowship (2013–2016) Illinois Distinguished Fellowship (2013–2016) Advising & Grants: Advised over 20 graduate and undergraduate students, with grants from NSERC and the NSF. Active in mentoring and promoting algebraic combinatorics research. Labs & Collaborations: Collaborates internationally on projects in Schubert calculus, K-theory, and combinatorial dynamics. Hosts the annual Algebraic Combinatorics Virtual Expedition (AlCoVE).

Kevin Purbhooمشاهده پروفایل

دانشیار

• Algebraic Geometry
• Algebraic Combinatorics
• Representation Theory
• +۳ مورد دیگر

Kevin Purbhoo is an Associate Professor in the Combinatorics & Optimization Department at the University of Waterloo. His research focuses on algebraic geometry, algebraic combinatorics, and representation theory, with a particular emphasis on enumerative algebraic geometry. He has taught courses such as CO 431/631 (Symmetric Functions), Math 249, and CO 631 across multiple terms since 2007. His work bridges combinatorial, algebraic, and geometric techniques to address problems in enumerative geometry. Notable contributions include studies on Schubert calculus, Wronskian maps, and crystal-like structures on tableaux. Research Interests: Purbhoo's research spans algebraic geometry, with a focus on enumerative problems involving geometric configurations. He explores connections between algebraic structures (e.g., Schubert varieties, Grassmannians) and combinatorial objects (e.g., tableaux, puzzles). His work on the Shapiro-Shapiro conjecture and Wronskian operators exemplifies this interdisciplinary approach. Recent projects include investigations into rigid matroid categories and positivity phenomena in real Schubert calculus. Teaching: Purbhoo has extensive teaching experience in combinatorics and optimization courses at both undergraduate and graduate levels. Recent courses include CO 431/631 (Symmetric Functions) in Fall 2023 and prior terms covering topics like Math 239 (Introduction to Combinatorics) and CO 434/634 (Algebraic Combinatorics). Publications: His 15 most recent articles reflect work in algebraic geometry and combinatorics, including studies on Schubert curves, matroid categories, and Wronskian maps. These contributions highlight his expertise in leveraging algebraic and combinatorial tools to solve geometric problems.