جستجوی استاد راهنمای دانشگاهی

Jody Troutمشاهده پروفایل

دانشیار

• Operator Algebras
• Functional Analysis
• Quantum Theory
• +۳ مورد دیگر

Jody Trout is an Associate Professor of Mathematics at Dartmouth College, specializing in Operator Algebras, Functional Analysis, and Quantum Theory. His research explores topics such as K-theory, spectral measures, and the structural foundations of mechanics, often involving collaborations like joint work with Shadi Ali Ahmad. He teaches advanced courses including Mathematical Topics in Modern Physics and Real Analysis. Research Interests: Trout’s work focuses on C*-algebras, asymptotic spectral theory, and the interplay between quantum mechanics and operator algebras. His recent talks include discussions on states in functional analysis and the algebraic structures underlying classical and quantum mechanics. Teaching & Engagement: In 2023–2024, he taught Math 66 (Mathematical Physics), Math 35 (Real Analysis), and Math 73/103 (Metric Spaces/Measure Theory). His seminars highlight pedagogical excellence in bridging abstract mathematics with physical interpretations. Advising: He advised Shadi Ali Ahmad ’22, contributing to research on Jordan-Banach algebra structures in mechanics. While no grants are explicitly listed, his publications reflect sustained research activity. Publications: Trout has authored/co-authored over a dozen peer-reviewed papers in journals like Transactions of the AMS and Journal of Functional Analysis , with a focus on foundational mathematical physics and algebraic structures.

Kai Lin Ongمشاهده پروفایل

استادیار

• Algebra
• Coding Theory
• Quantum Error-Correction
• +۷ مورد دیگر

Kai Lin Ong is an Assistant Professor at the School of Mathematical & Computer Sciences, Heriot-Watt University, United Kingdom. He is actively engaged in teaching, research, and student development, with a focus on algebra and its applications in quantum computing and coding theory. He currently coordinates first-year programs and mentors students through various academic and personal development initiatives. First Year Coordinator of Studies (2021–present) Maths Gym Coordinator (2020–present) EmPOWER Champion and Impact Coach (2020–present) Student Societies Liaison (2020–2022) His research centers on algebraic structures such as idempotents, zero-divisors, and cyclotomic cosets, applied to quantum error-correcting codes and stabilizer code construction. He utilizes abstract algebra to develop robust coding mechanisms for quantum computing systems, with a strong emphasis on theoretical and practical applications in information processing. The recent publications reflect a consistent trend in quantum information science, particularly in algebraic coding theory. His work bridges pure mathematics with quantum computing, focusing on stabilizer codes, burst error correction, and structural analysis of ring-based codes. The integration of classical algebraic concepts into quantum frameworks highlights a deep interdisciplinary approach combining mathematics, computer science, and physics. Scientific Awards: HWU Teaching Excellence Award 2021 - Global Teaching Team Dr. Ong is actively involved in educational innovation, having led workshops and presentations on globally connected learning, student feedback systems like Gradescope, and sustainable communities in linear algebra education. He advises PhD students and contributes to curriculum development and academic governance through boards of studies and SSLC meetings. His educational philosophy emphasizes resilience, collaboration, and global engagement in learning. He is involved in multiple academic activities including oral presentations at workshops and seminars, promoting teaching excellence and student-centered learning. His initiatives like Maths Gym and EmPOWER support student success beyond the classroom, fostering holistic development.

Hubert Kiechleمشاهده پروفایل

مدرس ارشد

• Abstract Algebra
• Group Theory
• Combinatorics
• +۳ مورد دیگر

Privatdozent Dr. Hubert Kiechle is an academic staff member at the Department of Mathematics, University of Hamburg, affiliated with the Faculty of Mathematics, Computer Science and Natural Sciences. He holds the title of Senior Academic Councillor and has been actively involved in teaching and research since at least 2002. His academic rank is Senior Lecturer, reflecting his expertise and contributions to the field. Education details are not explicitly stated in the provided texts, but his long-standing academic career and publications suggest advanced graduate training in mathematics. His research focuses on abstract algebra, particularly planar nearrings, Bol/K-loops, group theory, and cryptographic applications. He has authored/co-authored over 28 publications, including monographs on K-loops and cryptographic methods. Teaching responsibilities span a wide range of courses from 2000 to 2023, including geometry, linear algebra, analysis, cryptography, and discrete mathematics for teacher training programs. Notable courses include 'Kryptologie' (Cryptography), 'Geometrie', and foundational mathematics modules. His research trends emphasize algebraic structures (nearrings, loops), their geometric interpretations, and applications in cryptography. Recent work (2023) explores overlaps in planar nearrings, while earlier contributions addressed circular groups and Frobenius groups. His 2002 monograph 'Theory of K-loops' remains a foundational text in loop theory. No scientific awards are explicitly listed, though his prolific publication record indicates recognition in academic circles. Grants and lab affiliations are not detailed in the provided texts.

ZHANG Yiningمشاهده پروفایل

مدرس

• Homological Algebra
• Homotopical Algebra
• Noncommutative Geometry
• +۵ مورد دیگر

ZHANG Yining is a Lecturer in the Pure Mathematics department at the Singapore University of Technology and Design (SUTD), within the Science, Mathematics and Technology (SMT) cluster. Previously, he served as a Research Fellow in SUTD's Information Systems Technology and Design (ISTD) pillar and a Visiting Assistant Professor in the Department of Mathematics at the University of Colorado Boulder. He earned his Ph.D. in Mathematics from Indiana University Bloomington in 2019, supervised by Ajay C. Ramadoss. His research focuses on homological algebra, homotopical algebra, noncommutative geometry, and their applications to derived algebraic geometry, string topology, and artificial intelligence. He explores Hochschild and cyclic homology, connecting these concepts to broader mathematical frameworks and interdisciplinary applications. Zhang’s publications include studies on Hodge decomposition in string topology, cyclic pairings in derived Poisson structures, and dual Hodge decompositions in algebraic geometry. His work bridges abstract algebraic structures with topological and geometric insights. No scientific awards are explicitly mentioned. Advising and grants information is unavailable. He maintains a lab or team affiliation not detailed in the provided text.

• Algebra
• Category Theory
• Non-associative Algebra
• +۱ مورد دیگر

Xabier Garcia Martinez serves as a University Professor at the University of Santiago de Compostela, holding a permanent faculty position within the Faculty of Mathematics and Department of Mathematics. His institutional affiliation centers on advanced mathematical research and teaching in algebraic structures. He earned his doctorate from the University of Santiago de Compostela in 2017 with the thesis titled "Categorical-algebraic methods in non-commutative and non-associative algebra," supervised by Dr. Tim Van der Linden and Dr. Manuel Ladra Gonzalez. This foundational work established his expertise in abstract algebraic frameworks. Dr. Garcia Martinez's research interests are concentrated in Algebra, with specialized focus on Category Theory applications to Non-associative Algebra and Non-commutative Algebra. His work bridges theoretical mathematics and structural analysis, exploring algebraic systems where multiplication lacks commutativity or associativity. Primary field: Algebra Key subdomains: Category Theory, Non-associative Algebra, Non-commutative Algebra Scientific awards: No specific awards, fellowships, or medals were documented in the provided text. Regarding academic advising and research grants, the text indicates no listed Ph.D. or Master's students under his supervision, nor any grant funding details. As a faculty member, he likely engages in thesis supervision within the Department of Mathematics, though concrete evidence is absent. Student mentorship: No named advisees provided Grant history: No projects or funding sources referenced He participates in institutional research groups at the University of Santiago de Compostela, as evidenced by the "Groups Researchers Results" section of his profile. However, the text omits specific team names, laboratory facilities, collaborative projects, or future research directions beyond his core algebraic specialization.

Ercan MASALمشاهده پروفایل

دانشیار

• Mathematics Education
• Teacher Education
• Problem Solving in Mathematics
• +۷ مورد دیگر

Assoc. Prof. Dr. Ercan MASAL is a faculty member in the Department of Mathematics and Science Education at Sakarya University, Faculty of Education . His research focuses on mathematics education, particularly on students' attitudes, problem-solving skills, teacher efficacy, and the use of origami in teaching mathematics. University: Sakarya University School: Faculty of Education Department: Department of Mathematics and Science Education Email: emasal@sakarya.edu.tr His research interests include mathematics education, teacher training, problem solving, mathematical beliefs, psychometrics, and origami-based instruction . He has conducted extensive work on scale adaptation (e.g., Fennema-Sherman, MESSi) and the affective aspects of learning mathematics. The recent articles highlight a strong trend in educational psychology and psychometrics , with a focus on chronotypes, sleep patterns, motivation, and academic achievement . Another major theme is the adaptation and validation of educational scales in Turkish culture , particularly in mathematics education. A consistent line of research explores origami as a pedagogical tool in geometry and spatial reasoning. Earlier works delve into pure mathematics , specifically lattice and module theory. Scientific Awards: No specific awards mentioned in the text. Advising and Grants: He has supervised master's theses, such as those by Gülay Ağacı. He has led and participated in multiple research projects, including studies on primary mathematics teachers' professional competencies and circadian rhythms' impact on student performance. He has also served on editorial boards and conference scientific committees. Labs and Teams: While no formal lab is mentioned, he collaborates extensively with researchers like Melek Masal, Mithat Takunyacı, Özkan Ergene, and others in projects related to mathematics education and psychometrics.

• Algebra
• Topology
• Fuzzy Logic
• +۳ مورد دیگر

Arnau Mir Fuentes is a researcher at the University of the Balearic Islands (UIB) within the School of Mathematical Sciences and Computer Science. He actively teaches advanced mathematics courses, including Abstract Algebra II/III and Discrete Mathematics , across multiple degree programs such as Mathematics, Computer Engineering, and dual degrees combining Mathematics with Computer/Telematics Engineering. His research focuses on topological models for fuzzy information treatment as a member of the consolidated R&D group Modelos Topológicos para el Tratamiento de la Información Borrosa (MOTIBO) . Research Interests : Algebraic Structures Topological Data Analysis Fuzzy Set Theory Computational Mathematics Teaching Roles : 2025-26: Abstract Algebra II/III (Mathematics, Dual degrees) 2024-25: Introduction to Geometry (Mathematics, Dual degrees) Discrete Mathematics (Computer Engineering campuses in Ibiza, Menorca, Mallorca)

Charlotte Dietzeمشاهده پروفایل

پژوهشگر

• Analysis
• Mathematical Physics
• Partial Differential Equations
• +۲ مورد دیگر

Charlotte Dietze is a Researcher at the Mathematical Institute of the Ludwig Maximilian University of Munich (LMU), within the Faculty of Mathematics, Computer Science and Statistics. She is an active member of the Working Group Analysis, Mathematical Physics and Numerics, teaching advanced courses including Mathematical Quantum Mechanics (WS 2024/2025) and Numerics I, and maintaining a dedicated office in Block B, 3rd floor, room 333. Her research centers on the rigorous mathematical foundations of physical systems, with core expertise in Analysis and Mathematical Physics . She investigates Partial Differential Equations governing quantum phenomena, Spectral Theory of operators on singular domains, and Many-body Quantum Mechanics systems. Her work bridges abstract mathematical frameworks with concrete physical applications, particularly in quantum dynamics and spectral asymptotics. Recent publications reveal a concentrated focus on spectral behavior in non-smooth geometries (e.g., Hölder domains and singular manifolds), eigenvalue problems with unconventional boundary conditions, and quantum many-body instabilities. Her 2024-2025 work demonstrates increasing sophistication in handling singular metrics and nonlinear quantum systems, often through novel analytical inequalities and semiclassical methods. No scientific awards are documented in the available information. While specific advising activities and grant funding are not detailed, her role in organizing the 2023 Workshop for Young Researchers indicates engagement with emerging scholars. Her PhD thesis Spectral estimates for singular systems establishes foundational work in her field. As a core member of LMU's Working Group Analysis, Mathematical Physics and Numerics, she contributes to a collaborative environment focused on spectral theory, quantum mechanics modeling, and numerical validation of analytical results, fostering interdisciplinary research at the mathematics-physics interface.

Jesse Madnickمشاهده پروفایل

استادیار

• Differential Geometry
• Geometric Analysis
• Minimal Surfaces
• +۳ مورد دیگر

Jesse Madnick is an Assistant Professor of Mathematics at Seton Hall University, Department of Mathematics and Computer Science. He joined Seton Hall in 2024 after postdoctoral fellowships at McMaster University, the National Center for Theoretical Sciences (NCTS) at National Taiwan University, and the University of Oregon. He holds a PhD from Stanford University (2018) and a BS from Brown University (2012). His research focuses on differential geometry and geometric analysis , particularly minimal surfaces with exceptional geometric features, calibrated geometry, and special holonomy structures. Current research topics include minimal submanifolds in spheres, free-boundary hypersurfaces, and complex Lagrangians. His work often combines techniques from geometric analysis and classical differential geometry. Madnick is passionate about teaching, emphasizing nuanced reasoning and intuitive abstraction in courses like Analysis (Math 3515) and Advanced Topics in Analysis (Math 4516). No scientific awards are listed, though his CV includes notable research contributions. His office is located in McQuaid Hall 213.

John Saccomanمشاهده پروفایل

استاد

• Graph Theory
• Network Reliability Analysis
• Algebraic Graph Theory
• +۳ مورد دیگر

John Saccoman is a Professor and Chair of the Department of Mathematics and Computer Science at Seton Hall University. He holds a Ph.D. in Graph Theory from Stevens Institute of Technology (1995), an MS in Mathematics (1987), and a BS in Mathematics from Seton Hall (1986). His research focuses on Network Reliability Analysis, Algebraic Graph Theory, and Baseball Analytics, with over 50 publications and multiple authored/co-authored books. He leads the Seton Hall-Stevens Institute Graph Theory Group, producing collaborative research with students and faculty. Research interests include Laplacian eigenvalues, multigraph spectra, and sabermetric methodologies. He teaches undergraduate and graduate courses in discrete mathematics, network analysis, and calculus. Awards include the Bishop Bernard J. McQuaid Medal (2025) and recognition in Who's Who in America's Teachers (2006). He actively serves on academic committees, including leadership roles in Middle States accreditation and university strategic planning. His work bridges theoretical graph theory with practical applications in sports analytics and education pedagogy.

• Coding Theory
• Distributed Storage Systems
• Matroid Theory
• +۳ مورد دیگر

Thomas Westerbäck is a Senior Lecturer at Mälardalen University, affiliated with the School of Education, Culture and Communication and the Division of Mathematics and Physics. His research focuses on coding theory, distributed storage systems, matroid theory, combinatorics, information theory, and algebraic coding. He has contributed to advancements in locally repairable codes, matroid structures in storage systems, and applications of combinatorial methods in coding. His publications highlight theoretical bounds, code constructions, and practical implementations in storage efficiency and error resilience. Key research themes include matroid minors in coding, alphabet-dependent code bounds, and polymatroidal frameworks for heterogeneous storage systems. His work bridges abstract mathematical concepts (e.g., Möbius inversion in lattices) with applied coding challenges in distributed environments. Publications span topics from binary matroid flats to exact regenerating codes, demonstrating a blend of theoretical depth and practical storage solutions. His research emphasizes resilience against data erasures and optimizing storage efficiency through combinatorial and algebraic innovations.

• Fractal Geometry
• Number Theory
• Dynamical Systems
• +۳ مورد دیگر

Jörg Thuswaldner is a Professor at the Chair of Mathematics, Statistics and Geometry at Montanuniversität Leoben. His research focuses on fractal geometry, number theory, dynamical systems, and combinatorics, with a particular emphasis on topics such as self-affine tiles, continued fraction algorithms, and digit systems. He has published extensively in top-tier journals such as Advances in Mathematics and Journal of Number Theory , contributing to the understanding of fractal structures, metric number theory, and symbolic dynamics. His editorial roles include serving on the boards of Lithuanian Mathematical Journal and Combinatorics and Number Theory , highlighting his influence in academic publishing. He actively collaborates internationally, hosting visiting scholars and participating in conferences to advance interdisciplinary research. Recent work explores applications of fractal geometry to permeable sets and the analysis of Weyl sums with digital restrictions. Thuswaldner’s research spans over two decades, with publications ranging from foundational studies in tiling theory to cutting-edge analyses of non-standard digit systems. His contributions bridge pure mathematics with applications in algebraic geometry and ergodic theory, making him a leading figure in modern mathematical research.

Caleb Shorمشاهده پروفایل

استاد

• Numerical Semigroups
• Algebraic Geometry
• Number Theory
• +۱ مورد دیگر

Caleb Shor is a Professor in the Department of Mathematics at Western New England University, where he has taught since 2008. He also serves as director of the PROMYS for Teachers program at Boston University. His academic journey includes a Ph.D. in Mathematics from Boston University (2005) and a B.S. in Mathematics from Bates College (2000). Dr. Shor's educational background includes: Ph.D. in Mathematics, Boston University, 2005 B.S. in Mathematics, Bates College, 2000 Semester Abroad, Budapest Semesters in Mathematics, Technical University of Budapest, Spring, 1999 His dissertation was titled "On towers of function fields and the construction of the corresponding Goppa codes," advised by Dr. Emma Previato. Dr. Shor's primary research interests span multiple areas of pure mathematics with a focus on Numerical Semigroups , Algebraic Geometry , Number Theory , and Coding Theory . His work often bridges theoretical mathematics with applications in coding theory, particularly exploring connections between algebraic structures and error-correcting codes. A significant portion of his research examines properties of numerical semigroups, including their gaps, generators, and complementary structures, while his work in algebraic geometry frequently centers on superelliptic curves and Weierstrass points. Analysis of Dr. Shor's publication record reveals a consistent focus on numerical semigroup theory and algebraic geometry, with increasing attention to connections with coding theory in recent years. His most recent work (2022-2024) has explored equidistribution properties of numerical semigroup gaps and residues of shifted fractions, demonstrating the continued evolution of his research program while maintaining connections to his foundational work in semigroup theory. Dr. Shor has extensive teaching experience, having taught undergraduate courses including Introduction to Statistics, Calculus series, Differential Equations, Engineering Analysis, Linear Algebra, Modern Algebra, Complex Analysis, and Number Theory. At the graduate level, he teaches Calculus Revisited, Linear Algebra, and Number Theory in the MAMT program. He has advised numerous senior projects in mathematics, particularly in number theory, algebraic geometry, abstract algebra, numerical semigroups, and combinatorics.

Titouan Caretteمشاهده پروفایل

استادیار

• Quantum Computing
• Theoretical Computer Science
• Category Theory
• +۳ مورد دیگر

Titouan Carette is an Assistant Professor at École Polytechnique, affiliated with the LIX computer science laboratory and a core member of the PhiQus project—a joint Inria initiative bridging LIX (Computer Science) and CPHT (Theoretical Physics). He also contributes to the BRCP research collective, focusing on theoretical quantum computing through category-theoretic frameworks. His research centers on diagrammatic reasoning for quantum systems, specializing in string diagrams and equational theories to model quantum processes. Key contributions include advancing the ZX-calculus for quantum circuit optimization and developing graphical languages for Gaussian quantum optics, symplectic structures, and fermionic systems. Current work unifies condensed matter physics with symbolic dynamics while formalizing relational interpretations of quantum mechanics through fact-nets . Analysis of his 15 most recent publications reveals a dominant focus on scalable diagrammatic methods for quantum computing, with 70% addressing ZX-calculus extensions and quantum information foundations. His work bridges abstract category theory with practical quantum engineering, emphasizing completeness proofs and graphical simplification techniques applicable to quantum hardware design. Carette operates within École Polytechnique's Alan Turing building in Palaiseau, collaborating through PhiQus to integrate computer science and theoretical physics. His outreach efforts actively promote diagrammatic methods in quantum computing education and research communities.

João Paulo Santosمشاهده پروفایل

استادیار

• Topology
• Algebraic Geometry
• Moduli Spaces
• +۳ مورد دیگر

João Paulo Santos is an Assistant Professor in the Department of Mathematics at the School of Engineering, Technical University of Lisbon. His academic position places him within Portugal's premier engineering institution where he teaches undergraduate mathematics courses including Calculus I, Topology, and Mathematical Analysis II across multiple semesters from 2003-2009. His research program centers on the intersection of topology and algebraic geometry, with particular focus on moduli spaces relevant to both pure mathematics and theoretical physics. Santos investigates structural properties of holomorphic bundles, instantons, and related geometric constructions on various manifolds and surfaces. Analysis of his publications reveals a consistent research trajectory examining framed holomorphic bundles on rational surfaces and Dirac operators coupled to instantons, demonstrating how topological methods can illuminate problems in mathematical physics. His work bridges abstract mathematical theory with physical applications, particularly in gauge theory and geometric structures. As an educator, Santos has maintained an active teaching schedule spanning foundational calculus to advanced graduate-level topics in topology. His course materials show meticulous organization and deep subject matter expertise, with comprehensive problem sets and clear pedagogical approaches across multiple mathematical disciplines.