جست‌وجوی استاد و پژوهشگر

Anna Davisمشاهده پروفایل

استاد

• Linear Algebra
• Geometric Topology
• Mathematics Education
• +۳ مورد دیگر

Anna Davis is a Professor of Mathematics and Data Analytics at Ohio Dominican University, based in the Department of Mathematics. She holds a Ph.D. in Mathematics with a focus on Geometric Topology from the University of Kentucky, an M.S. from the same institution, and a B.S. from the College of Idaho. Her research interests span linear algebra, geometric topology, and the intersection of mathematics with art. She actively promotes Open Educational Resources (OERs), co-founding the Ohio Open Ed Collaborative. Her work includes developing collaborative course content and data projects aimed at enhancing student success. Anna has secured funding as a lead or co-investigator on multiple state, corporate, and federal grants. Her publications emphasize educational innovation, OER development, and foundational mathematics research. Notable contributions include interactive linear algebra resources and studies on eigenvalues and topology. She has also explored innovative teaching methods like flipped classrooms for low-enrollment courses and integrating art into mathematical pedagogy. Anna is deeply involved in academic collaboration, particularly in statewide educational initiatives. Her work bridges theoretical mathematics with practical educational strategies, aiming to make knowledge accessible and engaging.

Ergun Yalcinمشاهده پروفایل

استاد

• Cohomology of groups
• Group actions on topological spaces
• Homological algebra

Ergun Yalcin is a Professor of Mathematics at Bilkent University, currently on sabbatical at the University of Waterloo, Canada. His research primarily focuses on algebraic topology and group theory, with specialized interests in group cohomology, group actions on topological spaces, and homological algebra. He has taught numerous undergraduate and graduate courses including Linear Algebra, Algebraic Topology, Group Representations, and Cohomology of Groups. His research explores structural properties of group actions, cohomological methods in algebra, and applications of category theory to topological problems. Recent publications emphasize fusion systems, equivariant topology, and dimension functions, reflecting a consistent focus on algebraic structures in geometric contexts. Collaborations frequently involve international researchers in group theory and topology. Yalcin organizes academic events such as the annual Antalya Algebra Days and Bilkent Algebra Days, fostering research collaboration in Turkey. He maintains an active presence in the mathematical community through lectures, preprint archives, and seminar coordination.

Ishan Levyمشاهده پروفایل

پژوهشگر ارشد

• Algebraic Topology
• Homotopy Theory
• Chromatic Homotopy Theory
• +۴ مورد دیگر

Ishan Levy is a Clay Research Fellow at the University of Copenhagen's Faculty of Science, Department of Mathematical Sciences, specializing in advanced algebraic topology and homotopy theory. His research bridges deep connections between homotopy theory, algebraic K-theory, and number theory. Levy's research focuses on: Chromatic homotopy theory and telescopic localization Algebraic K-theory of local spheres and ring spectra Stable homotopy theory and formal group laws Hurwitz spaces and their applications to number theory Higher algebra and ∞-categorical structures His work demonstrates significant contributions to understanding the telescope conjecture, developing novel approaches to stable homology computations, and establishing connections between topological structures and number-theoretic phenomena. Levy has made important advances in understanding the K-theory of K(1)-local spheres, homological stability for Hurwitz spaces, and the structure of Eilenberg-Mac Lane spectra. Levy has received the prestigious Clay Research Fellowship, one of the most competitive postdoctoral fellowships in mathematics, recognizing his exceptional research contributions. His publications appear in leading journals including Journal of Topology, Selecta Mathematica, and Proceedings of the American Mathematical Society. He maintains active collaborations with prominent mathematicians including Robert Burklund, Jeremy Hahn, Tomer Schlank, Aaron Landesman, and Andrew Senger. His research has implications across multiple mathematical disciplines, connecting algebraic topology with number theory, category theory, and algebraic geometry.

George Labahnمشاهده پروفایل

استاد

• Computer Algebra
• Symbolic-Numeric Computation
• Computational Finance
• +۲ مورد دیگر

George Labahn is Professor and Director of the Symbolic Computation Group at the University of Waterloo's David R. Cheriton School of Computer Science. His research spans computer algebra, computational finance, and pen-based mathematical interfaces. Key contributions include fundamental algorithms for matrix normal forms (Hermite/Smith forms), symbolic-numeric polynomial computation, and development of the MathBrush system for handwritten mathematics recognition. Research focuses on efficient algorithms for polynomial matrix arithmetic, rational approximation, and solving differential equations with elliptic coefficients. Computational finance work develops numerical methods for option pricing under jump diffusion models. Current projects include fast Hermite form computation and rank-sensitive matrix algorithms. Serves as associate editor for Journal of Symbolic Computation (JSC) and previously for ACM Transactions on Mathematical Software (TOMS). Authored core Maple programming guides and implemented key packages for symbolic integration, differential equations, and graphics in Maple.

• Geometry
• Topology
• Data Science
• +۳ مورد دیگر

Tom Needham is an Assistant Professor in the Department of Mathematics at Florida State University. His research focuses on geometry, topology, and their applications to data science and signal processing. He holds a faculty position in a leading mathematics department with active engagement in interdisciplinary research. Research Interests: His expertise spans geometric analysis, topological data analysis, optimal transport theory, and their applications in machine learning, neuroscience, and signal processing. He develops novel methods for analyzing complex geometric and topological structures in datasets, including shape analysis, network comparison, and probabilistic modeling of metric spaces. Publications: Recent work includes advancements in Gromov-Wasserstein distances, topological cycle matching, hypergraph stability, and cortical coding studies in neuroscience. These contributions bridge pure mathematics with applied problems in data science and computational geometry. Advising & Grants: No advising or grant information is explicitly provided in the source text. Labs/Teams: No specific lab affiliations or collaborative teams are mentioned.

Maxim Arnoldمشاهده پروفایل

دانشیار

• Fluid dynamics
• Dynamical systems
• Mathematical physics
• +۳ مورد دیگر

Maxim Arnold is an Associate Professor in the Department of Mathematical Sciences at the University of Texas at Dallas (UT Dallas) . He holds affiliations with the School of Natural Sciences and Mathematics . His research focuses on Fluid Dynamics , Dynamical Systems , and Mathematical Physics , with recent work emphasizing geometric structures in polygonal dynamics and integrable systems. Dr. Arnold's academic background includes a PhD in Mathematics from the International Institute of the Earthquakes Prediction Theory and Mathematical Geophysics (2006), following a Bachelor's degree from Moscow State University (2003). He has held visiting positions at institutions such as the Institute du Globe de Paris , Ecole Normale Supérieure (Paris) , and the University of Illinois at Urbana-Champaign . His research explores topics like projective evolutes of polygons, cross-ratio dynamics, and Milnor invariants of sorting networks. Recent publications highlight advancements in geometric analysis, integrable systems, and biomathematical modeling. Notable contributions include studies on finite Gauss transformations and TASEP modeling for gene regulation dynamics. Dr. Arnold’s work intersects pure mathematics with applications in physics and biology, reflecting a deep engagement with both theoretical and applied research domains.

• Algebraic Topology
• Differential Geometry
• K-Theory
• +۳ مورد دیگر

apl. Prof. Dr. Michael Joachim is a Professor at the University of Münster's Faculty of Mathematics and Computer Science, affiliated with the Mathematisches Institut. His expertise lies in Topology, with a focus on Algebraic Topology, K-Theory, and Differential Geometry. He actively contributes to research initiatives such as the "Mathematics Münster" program and has been involved in projects like the K-Groups and Cohomology focus area. Recent publications include work on persistent homology and twisted spin cobordism. He teaches advanced courses like Cohomology Operations and Spectral Sequences, and collaborates with colleagues in seminars such as the Advanced Seminar on Topology. His research integrates geometric and algebraic methods, addressing problems in manifold theory and curvature. Joachim's academic roles include organizing research seminars and colloquia, and he maintains an active presence in both teaching and collaborative research projects within the department. His office is located at Room 508, Einsteinstraße 62, Münster.

• Nonarchimedean Analysis
• Algebraic Topology
• Homological Algebra
• +۳ مورد دیگر

Dr. Devarshi Mukherjee is a researcher affiliated with the Mathematical Institute at the University of Münster, within the Department of Mathematics and Computer Science. He is part of the AG Topology research group and holds a PhD. His work focuses on nonarchimedean analysis, algebraic topology, homological algebra, and operator algebras, with a particular emphasis on bornological geometry, cyclic homology, and K-theory. His office is located in SRZ 325, and his secretary, Ms. Claudia Rüdiger, can be reached at +49 251 83-35159 or via email: c.ruediger@uni-muenster.de. Research interests include advanced topics such as localization techniques in derived bornological geometry, nonarchimedean bivariant K-theory, and analytic cyclic homology in positive characteristic. His recent publications (2019–2025) explore the intersection of algebraic structures with nonarchimedean functional analysis and topological invariants. No scientific awards or grants are explicitly listed in the provided texts. He currently has no documented advisees or students, though this may reflect incomplete data rather than an absence of mentorship activity.

Timo Richarzمشاهده پروفایل

استاد

• Algebraic Geometry
• Number Theory
• Arithmetic Algebraic Geometry
• +۳ مورد دیگر

Prof. Timo Richarz is a Professor of Algebraic Geometry and Number Theory at the Technical University of Darmstadt, Germany, since 2019. He holds a LOEWE-Start-Professur (2022) and leads projects in the ERC Starting Grant MotLang (2021) and Collaborative Research Center GAUS. His research focuses on arithmetic geometry, the Langlands program, and geometric representation theory, with contributions to Schubert varieties, local models, and motivic Satake equivalence. Education: Diploma/PhD from Bonn University (2006-2014), advised by Michael Rapoport. Research Interests: Algebraic Geometry (Schubert varieties, local models), Number Theory (Langlands program), and Geometric Representation Theory . He collaborates extensively, organizing conferences like the 2025 Geometry and Representation Theory around the Langlands Programs and Motives and Arithmetic Geometry . Notable Grants: ERC Starting Grant (€2.5M), LOEWE funding (€1.5M), and DFG’s SFB GAUS. His work bridges pure mathematics with applications in cybersecurity via elliptic curve cryptography. Awards: ERC Starting Grant (2021), LOEWE-Start-Professur (2022). Advising: Supervises PhD candidates like Paul Siemon and Rızacan Çiloğlu, along with master’s and bachelor’s students. Hosts postdocs including Manuel Müller and Chirantan Chowdhury. Labs/Teams: Core member of the GAUS SFB and MotLang ERC projects, collaborating with institutions like Université Clermont via the RedLang project.

Roman Sauerمشاهده پروفایل

استاد

• Topology
• Geometric Group Theory
• Geometric Topology
• +۳ مورد دیگر

Prof. Dr. Roman Sauer is a Professor of Mathematics at Karlsruhe Institute of Technology (KIT), leading the Topology and Geometric Group Theory Group within the Institute of Algebra and Geometry. His research focuses on geometric topology, geometric group theory, and L²-invariants, with particular emphasis on manifolds, cohomology, and group actions. He has held roles such as Head of the Topology Group and contributed to foundational work on simplicial volume, bounded cohomology, and Kazhdan properties. Key research areas include the interplay between geometry and topology in manifolds, the study of arithmetic groups through profinite invariants, and applications of measure-theoretic methods to group theory. His work often bridges algebraic topology with geometric analysis, addressing questions about rigidity, stability, and quantitative invariants. Publications highlight contributions to L²-Betti numbers, geometric group actions, and the interplay between group properties and topological structures. Notable collaborations involve Uri Bader, Clara Löh, and others in advancing the field of geometric topology and related cohomological theories.

• Operator Algebras
• Functional Analysis
• C*-Algebras
• +۳ مورد دیگر

Christopher Schafhauser is an Associate Professor at the University of Nebraska-Lincoln, specializing in operator algebras and functional analysis. His research focuses on C*-algebras, nuclearity, classification problems, and their applications to non-commutative geometry and mathematical physics. He collaborates extensively with leading mathematicians in the field, contributing to foundational work on nuclear dimension, E-theory, and quantum self-testing. His notable contributions include pioneering studies on nuclear C*-algebras, tracially complete structures, and KK-rigidity. Schafhauser's work bridges pure mathematics with applications in quantum information theory and group dynamics. He has published in top journals such as the Annals of Mathematics, Duke Mathematical Journal, and Communications in Mathematical Physics. No scientific awards are explicitly mentioned in the provided text. His research spans over 20 peer-reviewed articles, with recent emphasis on classification programs, topological graph algebras, and boundary actions of groups.

Ulrich Bauerمشاهده پروفایل

استاد

• Applied Topology
• Computational Topology
• Topological Data Analysis
• +۳ مورد دیگر

Prof. Dr. Ulrich Bauer is a Professor at the Technische Universität München (TUM) , leading the Applied and Computational Topology research group within the TUM School of Computation, Information and Technology . His academic career includes positions at Freie Universität Berlin, Georg-August-Universität Göttingen (where he earned a doctoral degree in Mathematics), and the Institute of Science and Technology Austria. Bauer specializes in applied and computational topology, focusing on multi-scale data connectivity and developing computational methods for large datasets. He is a key member of the Collaborative Research Center Discretization in Geometry and Dynamics and the Centre for Topological Data Analysis . Research Interests: Bauer’s work bridges theoretical foundations and practical applications in topology. He explores methods like persistent homology and discrete Morse theory to uncover global data structures. His contributions include advancing algorithms for topological data analysis, with applications in medical imaging, computational biology, and geometric modeling. Bauer’s software tool Ripser is widely recognized for efficient computation of persistence barcodes. Awards: ATMCS Best New Software Award (2016) Best Paper Award TopoInVis (2013) Apple Design Award (2003) O’Reilly Mac OS X Innovators Award (2003) Grants & Leadership: Bauer’s leadership roles include the executive board of the CRC Discretization in Geometry and Dynamics. His research has been supported by grants focusing on topological methods in data science and geometry. He actively contributes to advancing interdisciplinary collaborations between mathematics, computer science, and applied fields. Labs & Teams: As founder of the Applied and Computational Topology group at TUM, Bauer fosters innovation in computational topology, mentoring researchers and students in developing cutting-edge methodologies. His work intersects with the TUM School’s broader mission in computational and data-driven science.

• Algebraic Topology
• K-Theory
• Spectral Sequences
• +۳ مورد دیگر

Prof. Dr. Joachim is an Adjunct Professor at the Mathematical Institute of the University of Muenster. He specializes in algebraic topology, K-theory, and geometric analysis. His research focuses on topics such as persistent homology, KK-theory, differential geometry, and topological data analysis. He teaches advanced courses like Cohomology Operations and Spectral Sequences, and regularly contributes to research seminars in topology. Joachim collaborates with colleagues including Prof. Bartels, Prof. Nikolaus, and Prof. Weiss on topology-related projects. His work integrates homotopy theory, operator algebras, and geometric analysis, with a particular emphasis on classifying spaces and spectral sequences. He holds a permanent position at the Mathematical Institute, Room 508, and can be reached at joachim@uni-muenster.de. His research group actively participates in interdisciplinary initiatives, including seminars on complex cobordism theory and K-theory. Despite no explicit awards listed, his extensive publication record reflects significant contributions to topology and related fields.

Jonathan Sterlingمشاهده پروفایل

دانشیار

• semantics
• type theory
• category theory
• +۴ مورد دیگر

Jonathan Sterling is an Associate Professor in Logical Foundations and Formal Methods at the University of Cambridge , and a Fellow of Clare College . His research focuses on programming languages and formal methods , integrating type theory , category theory , domain theory , and topos theory to explore semantics of computation. His recent contributions include papers at POPL 2024 ( The Essence of Generalized Algebraic Data Types , Decalf: A Directed, Effectful Cost-Aware Logical Framework ), POPL 2022, and ICFP 2019. These works span logical frameworks , cost-aware programming , and modal dependent type theory , reflecting his interest in bridging theoretical insights with practical programming language design. Jonathan maintains active involvement in academic service, serving on program committees for OOPSLA, ICFP, POPL, TyDe, and WITS. He advocates for sustainable intellectual infrastructure, emphasizing the need for long-term funding models for tools like proof assistants and formal verification systems. His personal website and GitHub repositories ( @jonsterling ) host projects such as Agda-CAFe and RedTT , which explore formal methods and type theory.

Holger Reichمشاهده پروفایل

استاد

• Algebraic Topology
• K-Theory
• Homological Algebra
• +۳ مورد دیگر

Prof. Dr. Holger Reich is a Professor of Mathematics at the Free University of Berlin (FU Berlin), leading the Algebraic Topology group within the Department of Mathematics. He currently serves as the Research Dean of the Department of Mathematics and Computer Science (since 2021) and chairs the Berlin Mathematical School (BMS) Admissions Committee. Previously, he held roles such as Managing Director of the Mathematical Institute (2013–2023). His research focuses on algebraic K-theory, the Farrell-Jones conjecture, group rings, and homotopy theory, often collaborating with prominent mathematicians like Wolfgang Lück and Arthur Bartels. His work bridges algebraic topology, geometric group theory, and noncommutative geometry. Reich’s research interests include assembly maps, controlled algebra, topological cyclic homology, and isomorphism conjectures. He has contributed significantly to understanding algebraic K-theory in the context of hyperbolic groups and GL_n(Z). His publications often address foundational questions in algebraic topology and geometric topology, with applications to group theory and operator algebras. He has advised doctoral students and actively participates in academic governance, including roles on the Central Ethics Committee of FU Berlin and the BMS Committee. His interdisciplinary collaborations and leadership roles highlight his impact on both research and academic administration.