جست‌وجوی استاد و پژوهشگر

Melody Chanمشاهده پروفایل

دانشیار

• Combinatorial Algebraic Geometry
• Algebraic Curves
• Tropical Geometry
• +۳ مورد دیگر

Melody Chan is an Associate Professor in the Department of Mathematics at Brown University, where she has held this position since joining in 2015. She completed her PhD at UC Berkeley in 2012 under Bernd Sturmfels and was an NSF Postdoctoral Fellow and Lecturer at Harvard University from 2012–2015. Her research focuses on combinatorial algebraic geometry, particularly algebraic curves and their moduli, tropical geometry, and graph theory. She has received significant recognition including the 2020 AWM-Microsoft Research Prize and a 2022 AMS Fellowship. Her work bridges classical and tropical geometry, with recent contributions to the cohomology of moduli spaces (e.g., A_g and M_{g,n}) using tropical and graph-theoretic methods. She has held prestigious grants like an NSF CAREER award (DMS-1844768) and currently leads projects in algebraic geometry and combinatorics. She advises multiple graduate students and collaborates internationally, organizing events like the 2025 Summer Research Institute in Algebraic Geometry. Her teaching spans undergraduate and graduate courses, including algebraic geometry, combinatorics, and linear algebra. She co-founded the Horizons seminar at Brown to promote diversity in mathematics and actively contributes to editorial roles (e.g., Combinatorial Theory ) and professional societies.

Arturo Jaramillo Gilمشاهده پروفایل

پژوهشگر

• Stochastic Analysis
• Limit Theorems
• Fractional Brownian Motion
• +۴ مورد دیگر

Arturo Jaramillo Gil is a researcher at the Centro de Investigación en Matemáticas (CIMAT), Department of Mathematics. He holds a Ph.D. in stochastic analysis under David Nualart and has conducted postdoctoral research in Luxembourg and Singapore, collaborating with leading researchers in Malliavin calculus and Stein's method. His research focuses on stochastic analysis, limit theorems, fractional Brownian motion, and probabilistic number theory. He has taught courses such as General Topology, Stochastic Calculus, and Stein's Method at institutions like Luxembourg and CIMAT. Key research interests include analysis in Wiener space, local times, random matrices, and applications of Stein's method to number theory. His recent work addresses high-frequency statistics of Lévy processes, non-commutative probability, and quantitative Erdős-Kac theorems. He actively contributes to academic seminars, including the One World Probability and Spanish-speaking probability communities. Jaramillo has authored over 20 publications in top journals like Annals of Applied Probability and Annales de l'Institut Henri Poincaré. His teaching spans graduate and undergraduate levels, emphasizing foundational topics in probability and stochastic processes. He coordinates outreach activities, including schools and workshops on stochastic modeling and probability theory.

• Differential Geometry
• Holomorphic Foliations
• Complex Manifolds
• +۳ مورد دیگر

Marcel Nicolau Reig is a Professor at Universitat Autònoma de Barcelona (UAB), affiliated with the Laboratori d'interaccions entre geometria, àlgebra i topologia (LIGAT). He holds a Ph.D. (1984) and Degree (1978) in Ciencias Matemáticas from UAB. His research focuses on differential geometry, holomorphic foliations, and geometric structures on manifolds. Key projects include 'Universal Geometric Structures and Inequalities' (2022–2025) exploring holomorphic foliations and moduli spaces, and 'Invariantes locales y globales en geometría' (2019–2022) addressing quadratic centers and bifurcations. Earlier work includes studies on complex dynamics and singularities (2012–2015). Notable contributions include analyzing automorphism groups of foliations, deformation theory of geometric structures, and error estimates on compact manifolds. He has collaborated internationally on topics like Galois coverings induced by foliations and Sasakian manifold moduli spaces.

• Numerical Analysis
• Partial Differential Equations
• Fluid Dynamics
• +۳ مورد دیگر

Dr. Johannes Storn is affiliated with the Faculty of Mathematics at Universität Bielefeld. His research focuses on numerical analysis, partial differential equations, and stochastic processes, with a particular emphasis on stochastic non-Newtonian fluids and their regularity and numerical solutions. He is involved in the Collaborative Research Center (SFB) 1283 project, specifically the sub-project B7 addressing 'Stochastic Non-Newtonian Fluids: Regularity and Numerics.' His research interests span numerical methods for PDEs, finite element techniques, adaptive mesh refinement, and iterative solvers for nonlinear problems. Recent work includes studies on minimal residual methods, p-Laplacian equations, and interpolation operators in negative Sobolev spaces. Dr. Storn contributes to interdisciplinary projects at the intersection of mathematics and fluid dynamics, leveraging advanced numerical analysis to address complex physical phenomena. Key trends in his publications emphasize robust numerical schemes for challenging PDE systems, including those with large exponents or stochastic elements, and the development of efficient adaptive algorithms. His work often intersects with applied mathematics, targeting real-world applications in engineering and physics.

Morgan Opieمشاهده پروفایل

استادیار مدعو

• Homotopy Theory
• Algebraic Geometry
• Topology
• +۳ مورد دیگر

Morgan Opie is a Hedrick Assistant Adjunct Professor and NSF Postdoc at the University of California, Los Angeles (UCLA). She holds a PhD from Harvard University, where she worked with Michael J. Hopkins, and completed her undergraduate studies at the University of Massachusetts Amherst and Cape Cod Community College. Her research focuses on homotopy theory and its applications to geometry, topology, and algebraic geometry, including vector bundle classification, motivic homotopy theory, and abstract homotopy methods. Her academic career includes teaching roles such as Liggett Instructor Award-winning instruction in linear algebra and topology courses at UCLA, and pedagogical fellowships at Harvard. She has organized the MIT Talbot Workshop and contributed to collaborative projects like the Women in Topology III conference. Her work spans theoretical developments in homotopy theory and categorical frameworks, with a particular emphasis on interdisciplinary applications. Key research themes include unstable vector bundles, motivic invariants, and homotopy-theoretic approaches to algebraic geometry. Recent publications address classification problems for vector bundles, digraph homology, and categorical methods in topology. She actively engages in academic communities, presenting at conferences like the Newton Institute workshops and the Cascade Topology Seminar. Education: PhD Harvard (2017-2021), BA UMass Amherst (2013-2017) Awards: Liggett Teaching Award, Bok Center Fellowship Teaching: Extensive record in linear algebra, topology, and category theory instruction Professional Service: Talbot Workshop organizer, Women in Topology collaborator

Richard Elmanمشاهده پروفایل

استاد

• Algebra
• Quadratic Forms
• Algebraic Geometry
• +۴ مورد دیگر

Richard Elman is a Professor of Mathematics at the University of California, Los Angeles (UCLA), affiliated with the Department of Mathematics. His research focuses on algebraic structures, particularly quadratic forms, Witt rings, and their connections to algebraic geometry and Galois cohomology. He has authored foundational texts like Lectures in Algebra and contributed to topics such as elliptic curves, linear algebraic groups, and cohomological dimensions. His work bridges abstract algebra with geometric and topological methods, influencing both pure and applied mathematical research. Elman's research interests include advanced algebraic theories such as quadratic form theory, Witt ring structure, and the interplay between algebraic geometry and number theory. He has explored topics like cohomological dimensions of fields, étale cohomology, and the classification of quadratic forms over various fields. His publications often address problems at the intersection of algebraic structures and geometric interpretations. His recent work (2019) continues the development of abstract algebraic frameworks, while earlier contributions (2008, 2006) delve into geometric and cohomological aspects of quadratic forms. Notable projects include studies on elliptic curves over local fields and the structure of Witt rings. Elman has also engaged in interdisciplinary efforts, such as public health research on reducing environmental tobacco smoke exposure in communities. Though no specific student or grant information is provided in the text, his extensive publication record indicates sustained academic contributions. His office is located in the Mathematical Sciences Building at UCLA, and he can be reached via email at rse@math.ucla.edu .

• History of Protest and Reform
• Environmental History
• Digital Heritage
• +۳ مورد دیگر

Steve Poole is a Professor of History and Heritage at the University of the West of England (UWE), affiliated with the Faculty of Arts, Creative Industries, and Education (ACE). He directs the Regional History Centre and leads an ESRC-funded project exploring intergroup dynamics in the 1831 Reform Riots. His research spans 18th- and 19th-century English history, focusing on protest, crime, tidal landscapes, and digital heritage technologies. Collaborations include the National Trust, Bristol Initiative Trust, and heritage design firms like Splash & Ripple and Satsymph. Notable projects include Ghosts in the Garden (a locative game at the Holburne Museum) and Romancing the Gibbet (an immersive soundscape on 18th-century crime). Poole’s academic work emphasizes histories 'from below,' particularly in Bristol and the Southwest. He co-authored Bristol From Below: Law, Authority and Protest in a Georgian City and chairs the John Thelwall Society. His heritage projects integrate digital media to reinterpret historical narratives, such as using empathy-driven soundscapes for heritage experiences. He also advises on urban waterfront histories and serves on committees for the Southern History Society and Bristol Record Society. His publications span scholarly articles and edited volumes, with a focus on riots, regicide, and radical press (e.g., Bath Spark ). Recent work examines the social psychology of collective action in 19th-century riots and the legacy of monuments in contemporary urban spaces. Poole’s interdisciplinary approach bridges traditional history with modern technologies, aiming to democratize historical interpretation through accessible, immersive formats.

David DiVincenzoمشاهده پروفایل

استاد

• Quantum Computing
• Superconducting Qubits
• Quantum Communication
• +۳ مورد دیگر

Prof. David DiVincenzo serves as Director of the Institute for Theoretical Nanoelectronics (PGI-2) and the JARA Institute for Quantum Information (PGI-11) at Forschungszentrum Jülich. His research focuses on quantum computing, superconducting qubits, quantum error correction, and many-body localization. He has contributed to foundational work on quantum hardware design, noise mitigation, and theoretical frameworks for scalable quantum systems. Key research themes include the development of superconducting qubit architectures, analysis of quantum chaos effects, and exploration of topological states in semiconductor materials. His work bridges theoretical insights with practical applications in quantum communication and fault-tolerant computing.

Beth Koucheمشاهده پروفایل

دانشیار

• Elementary Education
• Mathematics Education
• Inclusive Education
• +۱۰ مورد دیگر

Beth Kouche is an Associate Professor-Educator at the University of Cincinnati's College of Education, Criminal Justice, and Human Services, where she has been a pivotal figure in the Elementary Education (ELEM) Program since 2007. As a graduate of The Ohio State University with a B.S. in Science of Education (Elementary Education 1-8, Concentrations in Mathematics and Social Sciences) and an M.Ed in Educational Theory & Practice, she combines academic expertise with extensive practical experience from teaching math/pre-algebra in the Forest Hills School District and serving as a math intervention specialist. B.S. in Science of Education, The Ohio State University (1995) M.Ed in Educational Theory & Practice, The Ohio State University (1996) Her professional roles include ELEM Program Co-Coordinator, ELEM Senior Field Coordinator, and instructor of Primary Math Methods and Senior Capstone Stories in Teaching. Her research focuses on inclusive math pedagogy, peer-assisted learning strategies, and creating equitable classroom environments for diverse learners. Key themes in her publications include response to intervention frameworks, student voice in education, and mentorship practices. Though no scientific awards are explicitly mentioned, her work has been presented at regional and local conferences, including the HCESC Reach for Success Conference and multiple Nagel Middle School Middle School Conferences.

• Control Theory
• Systems Engineering
• Polynomial Matrices
• +۵ مورد دیگر

Nicos Karcanias is a Professor at City, University of London, with expertise in control theory and systems engineering. His research spans mathematical systems theory, polynomial methods, and applications in electrical networks and transportation systems. He has made significant contributions to the field of determinantal assignment problems, structural transformations, and systems of systems. His research interests focus on the theoretical foundations of control systems with applications across various domains. Using algebraic and geometric methods, he has developed novel approaches to problems in system structure, polynomial matrices, and implicit system representations. His work bridges abstract mathematical concepts with practical engineering applications. Analysis of his recent publications reveals a strong focus on determinantal assignment problems, implicit systems, and structural transformations. His work combines deep mathematical insights from multilinear algebra and exterior algebra with practical control engineering applications. There's a clear progression from fundamental mathematical theory to applications in electrical networks, transportation systems, and energy management. Professor Karcanias has collaborated extensively with researchers including Leventides, J., Halikias, G., Limantseva, O., Meintanis, I., and Livada, M. These collaborations have produced significant contributions across theoretical control theory and applied systems engineering. His work demonstrates a consistent integration of mathematical rigor with engineering relevance. His research has been applied in diverse areas including electrical network analysis, bicycle localization systems, and district heating control, demonstrating the versatility and impact of his theoretical contributions. The interdisciplinary nature of his work positions him at the intersection of mathematics, electrical engineering, and systems science.

Misha Lyubichمشاهده پروفایل

استاد

• Analytic Low-Dimensional Dynamics
• Complex Dynamics
• Real Dynamics
• +۱۲ مورد دیگر

Misha Lyubich is a Professor of Mathematics at Stony Brook University where he also serves as the Director of the Institute for Mathematical Sciences. His academic career has been dedicated to advancing the field of dynamical systems with particular focus on low-dimensional dynamics. Lyubich's research interests center around Analytic Low-Dimensional Dynamics, encompassing both complex and real dynamics. His work spans multiple interconnected areas including renormalization theory, Julia sets, Mandelbrot set theory, Schwarz reflections, rational maps, Kleinian groups, and Henon maps. His approach combines deep theoretical insights with connections to mathematical physics through studies of the Ising model. The breadth of his research is evident in his extensive publication record that spans over four decades, with recent work published as recently as 2024. The analysis of Lyubich's recent publications reveals consistent focus on the geometric and measure-theoretic aspects of dynamical systems. His work frequently examines the structure of fractal sets arising in dynamics, renormalization phenomena, and the interplay between complex analysis and dynamical behavior. Many papers demonstrate collaborative work with leading mathematicians including Artur Avila, Sergei Merenkov, and Sabyasachi Mukherjee. Major Awards: While specific awards aren't detailed in the provided information, his biographical sketch suggests recognition within the mathematical community Professional Service: As Director of the Institute for Mathematical Sciences at Stony Brook, he leads a significant research center Collaborations: Extensive collaborations with prominent mathematicians worldwide Lyubich maintains an active research program with recent contributions to understanding the measure-theoretic properties of dynamical systems, structural properties of polynomial automorphisms, and connections between different areas of complex dynamics. His work continues to influence both theoretical developments and applications in related fields.

Michael Vogeliusمشاهده پروفایل

استاد

• Partial Differential Equations
• Numerical Analysis
• Mathematical Analysis
• +۴ مورد دیگر

Michael Vogelius serves as Board of Governors Professor in the Department of Mathematics at Rutgers University, New Brunswick. He joined the faculty in 1989 after seven years at the University of Maryland, College Park, and has held visiting appointments at Stanford University, École Polytechnique Fédérale de Lausanne, and the University of Copenhagen. His current teaching includes Math 550: Linear Algebra and Applications, and he maintains active research leadership in mathematical analysis. Education: PhD from University of Maryland under advisor Ivo Babuška Postdoctoral training at New York University with George Papanicolaou Research Interests: Professor Vogelius specializes in Partial Differential Equations and Numerical Analysis, with core contributions to blow-up phenomena in nonlinear boundary conditions, scattering effects of small inhomogeneities, metamaterials theory, and non-scattering wave characterization. His work bridges rigorous mathematical analysis with applications in electromagnetic imaging, cloaking technologies, and inverse problems. Recent projects emphasize finiteness of non-scattering wave numbers, crack reconstruction via energy methods, and asymptotic models for thin inhomogeneities in conductive media. Publication Trends: His 2020-2025 publications demonstrate sustained focus on inverse problems and wave scattering in complex media. Key patterns include developing rigorous frameworks for crack reconstruction in Calderón's problem, establishing finiteness results for non-scattering phenomena, and advancing cloaking techniques for broadband and anisotropic settings. These works consistently employ sophisticated asymptotic analysis and error estimation for thin or small-scale defects, reflecting his expertise in connecting theoretical PDE analysis with practical electromagnetic applications. Collaborations and Funding: Vogelius maintains extensive collaborations including Robert V. Kohn (10 publications, 1984-2010), Fadil Santosa (9 publications, 1990-2000), and recent partnerships with Henrik Garde and Matti Lassas (2024). His research is supported by the National Science Foundation through the Division of Mathematical Sciences (DMS), as evidenced by his participation in DMS updates and conference organization. The Mathematics Department website references student advisement and postdoc mentorship, though specific trainee names aren't detailed in the provided text.

• Algebraic K-theory
• Algebraic Geometry
• Arithmetic Geometry

Zeyu Shen is a Lecturer in the Department of Mathematics at Rutgers University, based in office HLL-628 with office hours held Mondays from 12:10pm to 1:30pm. His research focuses on: Algebraic K-theory Algebraic Geometry Arithmetic Geometry Specializing in algebraic structures within geometry and number theory, his work particularly examines toric varieties and G-theory frameworks. Shen's recent publications demonstrate interdisciplinary reach across pure mathematics and probabilistic methods. His publication trends reveal dual expertise: the 2025 paper on affine simplicial toric varieties advances algebraic K-theory, while the 2017 collaboration on planar random walks contributes to stochastic process theory through logarithmic scaling analysis. This combination reflects a research profile bridging abstract algebraic constructs with concrete probabilistic phenomena. Scientific recognition: No awards or fellowships documented Academic engagement: No advising records or grant information available No laboratory or research team affiliations specified

Martin Werner Lichtمشاهده پروفایل

مدرس

• Finite Element Methods
• Finite Element Exterior Calculus
• Structure-preserving Numerical Methods
• +۶ مورد دیگر

Martin Werner Licht is a Lecturer at École Polytechnique Fédérale de Lausanne (EPFL) in the Department of Mathematics within the School of Basic Sciences. He holds the position of Bernoulli Instructor at EPFL since September 2021, following his time as a Visiting Assistant Professor at UC San Diego from 2017-2021. His educational background includes a PhD in Mathematics from the University of Oslo (2014-2017), and dual Diplom (Master's) degrees in Computer Science and Mathematics from the University of Bonn, Germany (2006-2013). PhD in Mathematics, University of Oslo, Norway (2014-2017) Diplom in Computer Science, University of Bonn, Germany (2006-2013) Diplom in Mathematics, University of Bonn, Germany (2006-2012) Licht's research focuses on finite element methods for partial differential equations, particularly in electromagnetism and general relativity. His work centers on finite element exterior calculus, structure-preserving numerical methods, and geometric analysis. He has made significant contributions to understanding discrete distributional differential forms and smoothed projections in weakly Lipschitz domains. His recent publications demonstrate a strong focus on theoretical aspects of finite element methods, with particular attention to de Rham complexes, Poincaré-Friedrichs inequalities, and geometric transformations. His work bridges pure mathematical theory with practical computational applications, especially in numerical simulations of physical phenomena. Licht has co-organized the international workshop 'Structure-Preserving Numerical Methods for Partial Differential Equations' at the Bernoulli Center in Lausanne (2023) and regularly presents at major conferences including SIAM Annual Meetings and ENUMATH. He has supervised several undergraduate students including Zhao Lyu (who received the 2018 Physical Sciences Dean's Undergraduate Award for Excellence at UC San Diego), Tharindu Fernando, Xinyi He, Jiyue Zeng (who received the 2020 Physical Sciences Dean's Undergraduate Award for Excellence), and Tâm Johan Nguyen. Licht teaches various mathematics courses at EPFL including Analysis III/IV, Numerical Methods for Conservation Laws, and Numerical Approximation for Partial Differential Equations. His teaching reviews note that he is 'easy to understand despite French accent and explains examples very well.'

Sarasij Maitraمشاهده پروفایل

استادیار مهمان

• Commutative Algebra
• Machine Learning
• Data Science
• +۳ مورد دیگر

Sarasij Maitra is a Visiting Assistant Professor of Mathematics and Statistics at Haverford College. Previously, he was a Postdoctoral Researcher/Lecturer in Mathematics at the University of Utah. He earned his PhD from the Department of Mathematics at the University of Virginia under the guidance of Professor Craig Huneke. Dr. Maitra completed his bachelor's and master's degrees at Indian Statistical Institute Bangalore and Indian Statistical Institute Kolkata, respectively. His research primarily focuses on Commutative Algebra, specifically studying Noetherian commutative local rings and the structure theory of modules over such rings. He investigates concepts such as torsion, reflexivity, and Ulrichness of modules using tools like local cohomology, Hilbert-Samuel Multiplicity, numerical semi-group rings, and Frobenius numbers (related to the Chicken McNugget Problem!). Dr. Maitra has developed a strong research portfolio examining Berger's Conjecture, trace ideals, and the module of differentials. His work shows a consistent pattern of collaboration with researchers like Vivek Mukundan, Craig Huneke, and others, demonstrating expertise in both theoretical aspects of commutative algebra and computational approaches using Macaulay2. His recent publications indicate a growing interest in applying algebraic methods to data science and machine learning. All University Graduate Teaching Award (University of Virginia) Postdoc Teaching Award (University of Utah) Dr. Maitra actively mentors undergraduate students, currently supervising senior theses at Haverford College in Commutative Algebra, Cryptography, and Deep Learning. He has taught a wide range of undergraduate mathematics courses including Multivariable Calculus, Real Analysis, Linear Algebra, and specialized topics like Commutative Algebra. He has also contributed to the mathematical community through software development for Macaulay2, including the RandomRationalPoints and SwitchingFields packages.