جستجوی استاد راهنمای دانشگاهی

Prof. Dr. Ieke Moerdijk is a distinguished Professor of Mathematics at the Mathematical Institute of Utrecht University, part of the Faculty of Science. Previously, he held positions at Radboud University (2011–2016) and has been affiliated with institutions like the University of Chicago, Cambridge, and the University of Amsterdam, where he earned his PhD in Mathematics (1985, Cum Laude). His research focuses on algebraic and differential topology, homotopy theory, and applications of topological structures to mathematical logic. He is renowned for co-authoring influential books such as Sheaves in Geometry and Logic (with S. Mac Lane) and Introduction to Foliations and Lie Groupoids (with J. Mrcun). Moerdijk has received prestigious awards including the Spinoza Prize (2012) and the Descartes-Huygens Prize (2011), and is a member of the KNAW and Academia Europaea. His current research emphasizes the theory of dendroidal sets and homotopy operads. He has held visiting positions at institutions like Cambridge, McGill, and Sydney. His academic contributions span editorships, teaching, and supervising numerous students. Moerdijk’s work bridges foundational mathematics with advanced categorical and topological frameworks, influencing areas from algebraic geometry to logic. Education: Bachelor’s/Master’s in Mathematics, Philosophy, and Linguistics at University of Amsterdam PhD in Mathematics, University of Amsterdam (1985) Awards: Spinoza Prize (2012), Descartes-Huygens Prize (2011) Member of KNAW (2006), Academia Europaea (2014) Huygens Fellowship (1986), PIONIER Grant (1995) Research Interests: Algebraic topology, homotopy theory, operads, category theory, and mathematical logic. Moerdijk’s publications include foundational works on dendroidal sets and simplicial methods, with recent contributions addressing ∞-operads and univalent completion. His research often explores connections between algebraic structures and topological spaces, with applications to higher category theory.

• Algebraic Topology
• Differential Topology
• Mathematical Logic
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Magnus Bakke Botnan is an Assistant Professor at the Department of Mathematics, Vrije Universiteit Amsterdam, holding a VIDI career grant (€850,000) since 2018. His research bridges pure and applied mathematics within topological data analysis (TDA), focusing on multiparameter persistence, computational topology, and applications to sciences. PhD in Mathematics, Norwegian University of Science and Technology (NTNU), 2015 Postdoc at TU Munich, 2016-2018 His research group includes postdocs Hannah Rocio Santa Cruz Baur and Rui Dong, and PhD student Enes Devecioğlu. Recent work involves signed barcodes, rank decompositions, and stability of persistence modules. He co-authored the first comprehensive tutorial on multiparameter persistence with Mike Lesnick. Notable contributions include proving the NP-hardness of computing interleaving distance, establishing universality of bottleneck distance for extended persistence diagrams, and developing computational methods for non-branching complexes. Publications span journals like Foundations of Computational Mathematics , Discrete & Computational Geometry , and conferences SoCG, NeurIPS, and ICRA. Scientific Awards: VIDI Career Grant (€850,000) He has taught courses including Complex Analysis, Calculus, Topological Data Analysis, and seminars on analysis and dynamical systems. Actively organizes Applied Topology Days and collaborates on projects integrating TDA with physics, computer science, and statistics.

• Topological Data Analysis
• Representation Theory of Quivers
• Computational Topology
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Gijs Heuts is an Associate Professor in the Fundamental Mathematics group at the Mathematical Institute of Utrecht University, part of the Faculty of Science. His research focuses on advanced topics in algebraic topology and higher category theory, with particular expertise in Goodwillie calculus, chromatic homotopy theory, and operads. He is affiliated with the Utrecht Geometry Center, which includes prominent mathematicians Ieke Moerdijk and Lennart Meier. His work is currently funded by prestigious grants including an ERC Starting Grant titled "Chromatic homotopy theory of spaces" and an NWO Vidi grant "Hopf algebras and periodic homotopy theory". Starting September 2025, he will also serve as one of the Principal Investigators on the NWO XL consortium "Symmetry on the interface of topology and higher algebra". Dr. Heuts' research centers around homotopy theory and derived algebraic geometry, with a focus on generalizations of classical algebraic concepts (such as Lie algebras, commutative rings, and Hopf algebras) to homotopy theory. His work has significant applications to chromatic homotopy theory, with Goodwillie calculus and operads serving as central methodological tools. His publication record demonstrates consistent high-impact contributions to the field, with papers appearing in top journals such as Annals of Mathematics and Proceedings of the American Mathematical Society. His research spans theoretical foundations of higher category theory to specific applications in unstable homotopy theory, particularly focusing on connections between spectral Lie algebras and vn-periodic phenomena. ERC Starting Grant "Chromatic homotopy theory of spaces" NWO Vidi grant "Hopf algebras and periodic homotopy theory" PI on NWO XL consortium "Symmetry on the interface of topology and higher algebra" (starting Sept 2025) Dr. Heuts completed his PhD under Jacob Lurie at Harvard University and was previously a postdoc at the University of Copenhagen. He has held research positions at the Isaac Newton Institute and Hausdorff Research Institute. He was an organizer of the MIT Talbot Workshop (2012-2015) and currently organizes the European Autumn School in Topology (EAST).

• algebraic topology
• Goodwillie calculus
• chromatic homotopy theory
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Professor Vedran Dunjko is a faculty member at the Leiden Institute of Advanced Computer Science (LIACS), Leiden University, with affiliations to the Leiden Institute of Physics (LION). He leads the Applied Quantum Algorithms group and co-founded the Quantum@LIACS initiative, focusing on the intersection of quantum computing, machine learning, and artificial intelligence. His research interests include quantum machine learning, quantum-enhanced reinforcement learning, quantum heuristics, and the application of AI to quantum computing challenges. Dunjko's work bridges theoretical foundations with experimental implementations on near-term quantum devices, exploring both quantum advantages in learning and the use of classical AI for quantum system design. The recent publications show a strong trend toward proving quantum advantages in learning tasks, optimization, and topological data analysis, with publications in Nature , Nature Communications , and NeurIPS . Key themes include quantum policy gradients, quantum TDA, and reinforcement learning for quantum circuit optimization. ERC Consolidator Grant (2024) PNAS Cozzarelli Prize (2018) Editor’s Suggestion in Physical Review Letters (2014, 2018) Featured in Physics (American Physical Society) (2014, 2018) Dunjko advises several PhD candidates and postdocs, including Rahul Bandyopadhyay, Sofiene Jerbi, and Lea Trenkwalder. He has received competitive grants, most notably the ERC Consolidator Grant in 2024. His group fosters international collaborations with institutions across Europe and industry partners. The Applied Quantum Algorithms group and the Quantum@LIACS team combine theoretical investigations with practical implementations on quantum hardware, focusing on scalable quantum algorithms and AI-driven quantum discovery.

• Quantum Computing
• Quantum Machine Learning
• Quantum Artificial Intelligence
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Jan Draisma is a full professor of Mathematics at the University of Bern and a part-time full professor of Applied Algebra and Geometry at Eindhoven University of Technology (TU/e), where he is affiliated with the Department of Mathematics and Computer Science, specifically in Discrete Algebra and Geometry and Coding Theory and Cryptology. He obtained his Master's and Ph.D. degrees from TU/e cum laude and held a postdoctoral position at the University of Basel (2002–2005). He returned to TU/e as an assistant professor, later advancing to associate professor (2011–2016), and served as a part-time full professor at VU Amsterdam (2015–2016). His research focuses on the interplay between combinatorics, statistics, and algebraic geometry. Key areas include tropical geometry, algebraic statistics, symmetric systems of polynomial equations in infinitely many variables, and representation stability. His work often explores the structure of infinite-dimensional algebraic objects and their finite approximations. The most recent publications highlight trends in polynomial functors, topological Noetherianity, amoebas of linear spaces, and the geometry of tensor representations. These works reflect a deep integration of algebraic geometry with combinatorics and category theory, emphasizing stabilization phenomena and symmetry in algebraic structures. NWO Vici Award: Stabilisation in Algebra and Geometry (2015) NWO Vidi Award: Finite thanks to symmetry (2010) Draisma has received significant research funding, including the NWO Vidi and Vici grants, and two NWO Free Competition grants (2008, 2012). He has supervised 16 students and is actively involved in the academic community as an associate editor for Experimental Mathematics, SIAM Journal on Applied Algebra and Geometry, and Linear and Multilinear Algebra. He has held leadership roles in major conferences such as MEGA 2015 and SIAM AG 19. He is affiliated with the research groups in Discrete Algebra and Geometry and Coding Theory and Cryptology at TU/e and leads research activities centered on algebraic methods in discrete mathematics and statistics.

• Algebraic Geometry
• Combinatorics
• Algebraic Statistics
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Steffen Sagave is an Associate Professor in the Department of Mathematics at Radboud University. His research focuses on algebraic topology, particularly homotopy theory, with interests in K-theory, higher category theory, and derived algebraic geometry. He holds a Habilitation in Mathematics from the University of Bonn (2013) and a PhD from the University of Bonn (2006), supervised by Stefan Schwede. Previously, he has held roles including Visiting Professor at the University of Wuppertal (2014-2015) and postdoctoral positions at the University of Münster (2008-2009) and the University of Oslo (2006-2008). He is a core member of the Algebraic Topology group at Radboud University, leading research on topics such as logarithmic structures in homotopy theory. Collaborative grants include the Dutch NWO-funded 'Symmetry on the interface of topology and higher algebra' (2025-2031), and he co-organizes the European Autumn School in Topology (2025). His teaching includes advanced courses like Topology and Algebraic Topology 2, alongside supervision of PhD students in areas like algebraic topology and homotopy theory. Scientific activities include organizing conferences, maintaining a YouTube channel with recorded talks, and publishing widely in top-tier journals. His research group is part of the Geometry and Quantum Theory (GQT) cluster, fostering interdisciplinary collaborations in topology and algebra.

• Algebraic Topology
• Homotopy Theory
• K-Theory
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Dr. Ilke Canakci is an Assistant Professor in the Department of Mathematics at Vrije Universiteit Amsterdam. She specializes in cluster algebras, combinatorics, and representation theory. Her research focuses on algebraic structures like perfect matchings, derived categories, and triangulations. She teaches Discrete Mathematics, Group Theory, and Linear Algebra courses. Key collaborators include researchers from institutions worldwide. Her recent work explores cluster categories for infinity-gons and infinite friezes related to annulus triangulations. Awards and grants are not explicitly mentioned, but her extensive publication record reflects active research in algebraic geometry and combinatorial mathematics. Research Interests: Cluster algebras, categorification of geometric structures, combinatorial patterns, representation theory of algebras, and applications of algebraic methods to geometric problems. Current projects involve extending Caldero-Chapoton maps and analyzing frieze patterns in non-traditional geometries.

• Cluster Algebras
• Combinatorics
• Algebra
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Rudi A. Pendavingh is an Assistant Professor at Eindhoven University of Technology's Mathematics and Computer Science department, specializing in Combinatorial Optimization. He earned his PhD at the University of Amsterdam in topological graph theory and has since contributed to diverse areas of combinatorics and geometry, with recent focus on matroid theory. His teaching spans mathematical programming topics including linear, integer, and semidefinite optimization. Education: PhD in Topological Graph Theory (University of Amsterdam) His research integrates combinatorial structures with geometric and algebraic methods, particularly in matroid theory, graph embeddings, and tropical geometry. Key publication themes include optimization algorithms, excluded matroid minors, and geometric invariants. Collaborations extend to institutions in mathematics and applied sciences, with notable academic output (67 research items) and external partnerships. Recent research outputs (2022-2025) highlight his work on the Colin de Verdière parameter, Dressian bounds, and tropical amoebas. While no explicit awards are mentioned in the provided text, his contributions to combinatorial optimization and network collaborations underscore his academic impact. He has supervised 29 students and contributed to 7 courses, including Discrete Optimization Modeling and Mathematics II.

• Combinatorics
• Matroid Theory
• Graph Theory
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Prof. Marius Crainic is a Professor of Fundamental Mathematics at the Mathematical Institute, part of the Science faculty at Utrecht University. His research focuses on geometric structures such as Poisson manifolds, Lie groupoids, symplectic geometry, and differential geometry. He has contributed extensively to the study of deformation theory, cohomology, and geometric analysis. His work bridges algebraic topology, differential geometry, and mathematical physics. Notable research areas include the study of Poisson manifolds of compact types, Lie pseudogroups, and the interplay between geometric structures and algebraic frameworks. His publications often address foundational topics in geometric analysis and their applications. He is involved in teaching courses like Differential Geometry and Introduction to Topology. Contact: crain101@uu.nl .

• Differential Geometry
• Symplectic Geometry
• Lie Theory
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Magnus Botnan is an Assistant Professor at the Department of Mathematics, Vrije Universiteit (VU) Amsterdam. He held a tenure-track position from 2018-2022, was a postdoc at TU Munich (2016-2018) under Ulrich Bauer, and earned his PhD at NTNU in 2015 under Nils A. Baas. His research spans topological data analysis, bridging pure mathematics (representation theory of quivers) with computational and applied aspects (persistent homology, data signatures). Education: PhD in Mathematics at Norwegian University of Science and Technology (NTNU) Research Grants: VIDI career grant (€850,000) Research Collaborations: with Mike Lesnick, Ulrich Bauer, S. Oppermann, and S. Oudot His recent work includes extremal Betti numbers, bottleneck stability, and signed barcodes for multiparameter persistence. He co-organized applied topology meetings in the Netherlands and supervises graduate students in computational topology. Key scientific contributions: Advances in Mathematics Journal of Applied and Computational Topology SoCG conference proceedings He teaches courses such as Calculus 2, Complex Analysis, and Topological Data Analysis at VU Amsterdam and Mastermath, with past courses in Differential Equations, Linear Algebra, and Modelling of Dynamical Systems.

• Topological Data Analysis
• Representation Theory of Quivers
• Computational Topology
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Prof. M. van der Put is a faculty member at the University of Groningen , specifically in the Department of Mathematics . His academic role is centered on research and teaching in advanced mathematical domains. Research interests include Differential Galois Theory , p-adic Differential Equations , and Valuation Theory . His work explores connections between differential equations and algebraic structures, with applications in positive characteristic and rigid geometry. The trends and fields of his recent articles (when dated) emphasize theoretical advancements in Algebraic Geometry , Group Theory , and Differential Algebra , focusing on iterative equations, Galois representations, and non-Archimedean geometries. Teaching responsibilities include Wiskunde 5 (complex function theory), as outlined in the course syllabus. His contact information is available via email at M.van.der.Put@math.rug.nl .

• Mathematics
• Differential Equations
• Galois Theory
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Arthemy Kiselev is an Assistant Professor at the University of Groningen's Faculty of Science and Engineering, specifically within the Department of Mathematics at the Johann Bernoulli Institute. He has been working at the Chair of Algebra since January 2011, contributing significantly to mathematical physics research. His educational background includes: (Under)graduate studies at Lomonosov Moscow State University (summa cum laude, 2001) and Independent University of Moscow PhD in mathematical physics (2004) Professor Kiselev's research focuses on the interface of (super)geometry and quantisation, particularly examining the (non)commutative geometry of Kontsevich's deformation and Batalin-Vilkovisky's approaches to quantisation of gauge field models. His work centers on deformation quantisation, BV quantisation, geometry of differential equations, Poisson geometry, and brackets. He has developed algebraic and geometric tools for the mathematical language of fundamental physics, with particular emphasis on the geometry of variations in Batalin-Vilkovisky formalism and Kontsevich's deformation quantization. His fingerprint in research shows strong connections to Cocycle Mathematics (100%), Poisson Bracket Mathematics (95%), Vector Field Mathematics (77%), Manifold Mathematics (65%), Poisson Structure Mathematics (51%), and Partial Differential Equation Mathematics (41%). His recent publications (2023-2024) demonstrate continued exploration of Kontsevich graphs acting on Nambu-Poisson brackets, star-products for affine Poisson brackets, and associativity properties in deformation quantization. These works show a consistent focus on understanding the mathematical structures underlying quantization procedures, with particular attention to graph complexes, cocycles, and their applications to Poisson geometry. His research reveals deep connections between algebraic structures, differential geometry, and theoretical physics. Scientific recognition includes: NWO VENI post-doctoral grant at Mathematical Institute Utrecht (2008-2010) Throughout his career, Kiselev has given 107 international talks at mathematics and theoretical physics research seminars. His collaborative work with PhD and master's students, such as M.S. Jagoe Brown and F. Schipper, has produced significant results in Poisson geometry and deformation quantization. His research has been supported by various institutions including visits to prestigious centers like IHES (France), MPIM (Germany), CRM (Montreal, Canada), and SISSA (Trieste, Italy). He has held positions at institutions including ISPU in Ivanovo, Russia (as docent since 2009). Kiselev is an active member of the Geometry and Quantum Theory (GQT) research group, contributing to the vibrant mathematical physics community at Groningen. His work continues to bridge abstract mathematical structures with fundamental physical theories, particularly through the lens of deformation quantization and Poisson geometry.

• Mathematical Physics
• Deformation Quantization
• Poisson Geometry
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Dr. Oliver Fabert is an Associate Professor in the Department of Mathematics at the Faculty of Science, Vrije Universiteit Amsterdam. His research focuses on advanced topics in symplectic geometry, Hamiltonian systems, and Floer theory. He teaches courses such as Differential Geometry, Non-linear Dynamical Systems, and Partial Differential Equations. Key research interests include Hamiltonian systems, periodic solutions, symplectic manifolds, and the application of Floer theory to nonlinear PDEs. His work often intersects with algebraic topology and geometric analysis, addressing challenges like the small divisor problem in Hamiltonian PDEs and the development of regularization techniques in polysymplectic geometry. Dr. Fabert has published extensively on topics such as hyperkähler Floer theory, pseudoholomorphic curves, and topological recursion relations. His contributions span foundational work in symplectic field theory and polyfold theory, with applications to both finite and infinite-dimensional Hamiltonian systems. He has supervised at least one PhD thesis and actively engages in teaching advanced mathematical concepts, reflecting his commitment to both research and education in theoretical mathematics.

• Symplectic Geometry
• Hamiltonian Systems
• Floer Theory
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Rudi Pendavingh is an Assistant Professor at the Department of Mathematics and Computer Science at Eindhoven University of Technology. Affiliated since 1999, he specializes in matroid theory , combinatorics , and topological graph theory within the Combinatorial Optimization group. Research Interests include: Matroid theory with focus on excluded minors and representability over partial fields Topological graph theory, particularly Colin de Verdière invariants for surface-embedded graphs Discrete optimization modeling and algorithmic complexity Geometric combinatorics in polyhedral complexes like Dressians Recent Publications highlight his work on: Stable tournament formats using finite projective planes (2025) Bounding topological graph parameters via combinatorial methods (2024) Computational enumeration of matroid minors (2024) Asymptotic analysis of Dressian dimensions (2024) Contact : Email: r.a.pendavingh@tue.nl Phone: +31 40 247 4235 Office: MetaForum 4.105, TU/e Campus

• Matroid Theory
• Topological Graph Theory
• Discrete Mathematics
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Dr. Olga Lukina is an Assistant Professor at the Mathematical Institute of Leiden University , focusing on Probability Theory . Her research sits at the intersection of Dynamical Systems , Topology , and Geometry , with applications in Number Theory and Percolation on non-abelian Cayley graphs. Key Research Areas: Cantor dynamics, profinite group actions, flows on infinite-genus surfaces, geometric aspects of percolation, and renormalization in group theory. Her recent work includes collaborations on profinite iterated monodromy groups and skew-product systems over infinite interval exchanges. She organizes Probability and Analysis in Leiden and Delft (PALD) seminars and co-organized the 2024 Lorentz Center workshop on Dynamics on Zero-Dimensional Spaces. Publications span journals like Ergodic Theory and Dynamical Systems , Advances in Mathematics , and Groups, Geometry, and Dynamics .

• Dynamical Systems
• Topology
• Geometry
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