Find Academic Supervisors

• Symplectic Geometry
• Poisson Geometry
• Symplectic and Contact Topology
• +12 more

Eva Miranda Galceran is a Full Professor at the Facultat de Matemàtiques i Estadística (FME) of the Universitat Politècnica de Catalunya (UPC) , where she leads the GEOMVAP research group and directs the Laboratory of Geometry and Dynamical Systems . She holds affiliations as a Chercheur Affilié at the Observatoire de Paris , an ICMAT Honorary Vinculado , and a member of the BGSMath network. Research: Her work bridges Symplectic and Poisson Geometry with Hamiltonian Dynamics , Fluid Dynamics , and Computer Science . Key themes include geometric quantization , integrable systems , singular manifolds , and universality in Euler flows , including the construction of Turing complete fluid systems . She has advanced the singular Weinstein conjecture and explored b-symplectic and E-symplectic manifolds with applications to celestial mechanics. Awards: ICREA Academia Prizes (2016, 2021) François Deruyts Prize 2022 Friedrich Wilhelm Bessel-Forschungspreis 2022 Gauss Professor 2025 Advising: She mentors 2 Ph.D. students ( Pablo Nicolás , Søren Dyhr ) and has supervised 9 Ph.D. graduates, including Anastasia Matveeva (2022, InPHINIT La Caixa), Joaquim Brugués (2024, FI-AGAUR), and Mir Garcia (2024). Her team spans Mathematical Physics , Geometric Quantization , and Computational Complexity . Grants: Principal Investigator for projects AQUACELL (AEI-DFG, €350,000), INTERGAP (PID2023-146936NB-I00, €293,750), COMPLEXFLUIDS (BBVA, €150,000), and the ICREA Academia 2021 (€120,000). She co-leads the Maria de Maeztu CEX2020-001084-M program (€2M) at the Centre de Recerca Matemàtica (CRM) .

• Number Theory
• Algebraic Geometry
• Computational Algebra
• +3 more

Jordi Guàrdia Rúbies is a Professor in the Department of Mathematics at the Universitat Politècnica de Catalunya (UPC), affiliated with the Faculty of Mathematics and Statistics (FME). He is a member of the UPC's STNB research group (Seminari de Teoria de Nombres de Barcelona), specializing in Number Theory and Algebraic Geometry. His work bridges theoretical research with educational innovation, particularly in Open Educational Resources (OER) for STEM fields. Affiliations: UPC, STNB Group, FME. Research Interests: Computational Algebra, Valuation Theory, Modular Forms, Mathematics Education. Recent research focuses on OER development, with contributions to collaborative platforms like Gate2Math. He has published extensively in journals like Journal of Algebra and Foundations of Computational Mathematics , addressing topics such as polynomial factorization over Henselian fields and valuation theory applications. Key awards include the Distinció Vicens Vives and UPC Quality Teaching Prize. He leads projects on OER quality assessment and has collaborated on EU-funded initiatives like the Erasmus+ Gate2Math program. His teaching contributions include innovative projects like Aprenentatge de l’Estadística basat en casos pràctics transversals , emphasizing practical case studies in statistics education.

Yves AndréView profile

Professor

• Number Theory
• Algebraic Geometry
• p-adic Analysis
• +4 more

Yves André is a Research Director 1st Class at CNRS (French National Center for Scientific Research), working at École Normale Supérieure de Paris in the Département de Mathématiques et Applications. He maintains strong affiliations with Université Paris 6 and the Institut de Mathématiques de Jussieu. André's research centers on the deep connections between number theory and algebraic geometry, with particular expertise in p-adic analysis, motivic theory, and arithmetic differential equations. His work has fundamentally advanced our understanding of p-adic differential equations, Galois representations, and the theory of motives through rigorous proofs of major conjectures including Dwork's conjecture and Crew's local monodromy conjecture. His publication record shows a consistent progression from solving specific conjectures to developing comprehensive theoretical frameworks that bridge different mathematical disciplines. The recurring themes across his work include the interplay between geometry and arithmetic, the structure of differential equations in p-adic contexts, and the development of motivic tools for number-theoretic problems. Foreign Member of the Venetian Academy (2007) Doisteau-Blutet Prize of the French Academy of Sciences (2011) Kempf Lectures (Baltimore 2006) Albert Lectures (Chicago 2009) Ordway Lectures (Minneapolis 2012) André has supervised four PhD theses and has been an active contributor to the mathematical community through numerous international mini-courses and conference organization. His leadership roles include serving on the National Committee of the Department of Mathematics at CNRS (2004-08), directing the mathematical monograph series 'Astérisque' for the French Mathematical Society (2005-11), and responsibility for the Paris node of the network ANR 'Galois theories' (2006-09). He is also a member of the 'collectif Histoire-Philosophie-Sciences' at ENS and a trustee of Rendiconti di Padova.

Joseph D RabinoffView profile

Associate Professor

• Algebraic Geometry
• Number Theory
• Non-Archimedean Analytic Geometry
• +3 more

Joseph D Rabinoff is an Associate Professor of Mathematics at Duke University's Trinity College of Arts & Sciences. His research focuses on non-Archimedean analytic geometry, tropical geometry, and their applications to algebraic and arithmetic geometry. He holds a Ph.D. in Mathematics from Stanford University (2009). Key research areas include non-Archimedean theta functions, Diophantine geometry, and the interplay between tropical and algebraic structures. He has led NSF-funded projects on non-Archimedean analytic geometry and number theory. His work bridges abstract algebraic geometry with computational and combinatorial methods. Rabinoff has presented at international conferences, including the Regensburg Days on non-Archimedean geometry and the Oberwolfach Tropical Geometry workshop. He serves as a referee for major journals such as the Journal of Algebra and Comptes Rendues Mathematiques.

Eli HawkinsView profile

Senior Lecturer

• Noncommutative Geometry
• Mathematical Physics
• Quantum Gravity
• +4 more

Dr. Eli Hawkins is a Senior Lecturer in the Department of Mathematics at the University of York. His work bridges geometry and noncommutative algebras, with a focus on quantization, noncommutative geometry, and quantum gravity. Education: PhD in Physics and Mathematics from Penn State University Research Interests: His research integrates advanced mathematical frameworks like C*-algebras, Poisson geometry, and Lie groupoids to explore quantization and quantum gravity, with applications in quantum field theory and differential geometry. Recent Publications: His recent work includes studies on Hochschild cohomology, deformation quantization, and noncommutative regularization, reflecting his expertise in algebraic and geometric methods.

Mustafa HajijView profile

Assistant Professor

• Topological Deep Learning
• Graph Neural Networks
• Computational Topology
• +2 more

Mustafa Hajij is an Assistant Professor in the Data Science program at the University of San Francisco. He holds a PhD in Mathematics from Louisiana State University, an MS in Computer Science, and completed postdoctoral training at University of South Florida and Ohio State University. Previously, he served as Assistant Professor at Santa Clara University and as an AI Research Scientist at KLA Corporation. His research develops foundational frameworks for topological deep learning, including cell complex neural networks and geometric learning architectures that operate beyond graph domains. He leads the NSF-funded project 'A Unifying Deep Learning Framework Using Cell Complex Neural Networks' (DMS-2134231, $547,626). Recent publications establish new paradigms for topological representation learning, including combinatorial complexes and simplicial networks, with applications in computational biology, 3D vision, and drug discovery. He organized the ICML Topological Deep Learning Challenges and develops open-source tools like TopoX for topological learning.

Siegfried EchterhoffView profile

Professor

• Operator Algebras
• Mathematical Physics
• Functional Analysis
• +4 more

Prof. Dr. Siegfried Echterhoff is a Professor at the University of Münster, affiliated with the Mathematical Institute within the Faculty of Mathematics and Computer Science. He serves as an Investigator in Mathematics Münster and is a member of the Collaborative Research Center (CRC) 1442, focusing on Geometry: Deformations and Rigidity. His research expertise centers on operator algebras and mathematical physics, particularly C*-algebras, K-theory, and noncommutative geometry. Education: After completing a car mechanic apprenticeship, he studied Mathematics and Mechanical Engineering at the University of Paderborn. His academic journey reflects a strong foundation in both pure mathematics and applied fields. Research Interests: Echterhoff’s work spans operator algebras, including studies on C*-dynamical systems, crossed products, and fixed-point algebras. He collaborates extensively, with notable contributions to deformation theory, noncommutative Bernoulli shifts, and the Baum-Connes conjecture. His research bridges functional analysis, K-theory, and group actions, with applications in mathematical physics. Grants & Projects: Active in the CRC 1442, his projects include investigations into exotic crossed products, deformation of C*-algebras, and the interplay between algebraic structures and geometric concepts. He also contributes to educational outreach, serving as a liaison lecturer for the Friedrich Ebert Foundation. Labs/Teams: Leads the functional analysis and operator algebras research group at the Mathematical Institute, fostering collaborations with international researchers like Alcides Buss and Rufus Willett.

• Low-Dimensional Topology
• Geometric Group Theory
• Mapping Class Groups
• +3 more

Prof. Sebastian Hensel is a Professor of Pure Mathematics at Ludwig Maximilian University of Munich (LMU), serving as Dean of Studies at the Mathematical Institute. His research focuses on low-dimensional topology, geometric group theory, and their interplay with mapping class groups, handlebody groups, and diffeomorphism groups of surfaces. He holds a PhD from the University of Bonn (2011) and has held positions at the University of Chicago as a Dickson Instructor and in Bonn before joining LMU. Research interests include algebraic and geometric properties of mapping class groups, handlebody groups, and their actions on geometric spaces. Recent work explores applications of geometric group theory to surface diffeomorphism groups. Preprints and publications span topics like thick laminations, curve graphs, and handlebody group rigidity. Teaching responsibilities include courses on geometric group theory, Riemannian geometry, and topology. He co-organizes advanced seminars such as the Geometry and Dynamics of Homeomorphisms and Representation Theory block seminars. His work also extends to pedagogical projects, including a textbook on representation theory for students and translations of foundational papers like Hilbert's ninth-degree equation. Current sabbatical (Winter 2024/25) involves collaboration on seminars while maintaining research output. The Geometry and Topology Working Group at LMU is central to his academic activities.

Shachar CarmeliView profile

Researcher

• Homotopy Theory
• Algebraic Geometry
• Representation Theory
• +3 more

Shachar Carmeli is a researcher in the Department of Mathematics at the Weizmann Institute of Science. He previously held a postdoctoral position at the University of Copenhagen's Department of Mathematical Sciences, working with the Copenhagen Centre for Geometry and Topology. Carmeli earned his PhD from the Weizmann Institute under the supervision of Professor Dmitry Gourevitch, focusing on advanced topics in algebraic topology and representation theory. His research interests span homotopy theory, chromatic homotopy theory, algebraic geometry, and representation theory, with a current emphasis on higher semiadditivity in chromatic homotopy theory and its connections to algebraic K-theory. He also explores Nash stacks and geometric representation-theoretic frameworks. Notable collaborations include work with Tomer M. Schlank, Lior Yanovski, and Allen Yuan on cyclotomic extensions, redshift phenomena, and categorified trace constructions. Carmeli's recent publications highlight contributions to topics like chromatic Fourier transforms, descent in algebraic K-theory, and the topology of crystalline materials. His work bridges abstract algebraic structures with geometric and topological applications, often leveraging tools from higher category theory and spectral algebraic geometry.

David ShermanView profile

Associate Professor

• Functional Analysis
• Operator Algebras
• Noncommutative Lp Spaces
• +4 more

David Sherman is an Associate Professor in the Department of Mathematics at the University of Virginia, part of the College of Arts & Sciences. His research focuses on functional analysis and operator algebras, with specialized interests in noncommutative L p spaces, operator theory within von Neumann algebras, model theory of operator algebras, and noncommutative convexity. He has contributed to foundational studies of noncommutative L p spaces, isometries between operator algebras, and applications of logic to operator algebras. Recent teaching includes advanced calculus, linear algebra, and operator theory courses. His work bridges pure mathematics with interdisciplinary themes, such as applying set-theoretic methods to algebraic structures and exploring connections between operator algebras and logic. Sherman has co-authored significant papers on topics like support expansion C*-algebras and quantization of coarse spaces, reflecting his expertise in modern operator theory. His research outputs emphasize structural properties of operator algebras, with notable contributions to the classification of II₁ factors and model-theoretic approaches to noncommutative systems. While no specific awards are listed, his extensive publication record and teaching roles highlight his academic impact. Sherman maintains administrative involvement in undergraduate mathematics programs and graduate initiatives at UVA.

Matteo VialeView profile

Professor

• Mathematical Logic
• Set Theory
• Forcing Axioms
• +3 more

Matteo Viale is a Full Professor in the Department of Mathematics at the University of Torino. He specializes in mathematical logic with a focus on set theory, forcing axioms, and generic absoluteness. He is an active member of the Turin Logic Group and maintains international collaborations in foundational mathematics. His research explores advanced topics in set theory including forcing techniques, large cardinals, cardinal arithmetic, and their applications to mathematical foundations. Recent work investigates connections between forcing axioms and category theory, as well as absoluteness principles across different mathematical structures. Viale has advised numerous graduate students on theses covering boolean-valued models, forcing techniques, set-theoretic topology, and applications of logic to functional analysis. His pedagogical contributions include comprehensive lecture notes on forcing iterations, model companionship, and semiproper forcing. Notable recognitions include the Kurt Gödel Research Prize Fellowship (2010), Premio Fubini (2010), and Sacks Prize (2006) for his doctoral thesis on forcing axioms and cardinal arithmetic.

Michael RapoportView profile

Professor

• Mathematics
• Algebraic Geometry
• Number Theory
• +5 more

Michael Rapoport is a Professor at the University of Bonn, with a distinguished academic career spanning multiple institutions including the University of Cologne (1996-2003), University of Wuppertal (1989-1996), and the University of Heidelberg (1982-1986). He is a member of the Academy of Europe (elected 2012) and has held significant roles in mathematical research communities, such as serving on the Scientific Committees of the MPI Bonn (1988-2008) and IHES Paris (2001-2005). Current Position: Professor at University of Bonn Previous Positions: University of Cologne, Wuppertal, Bonn, Heidelberg Academic Affiliation: Mathematics Section Rapoport's research focuses on advanced mathematical structures in Algebraic Geometry and Number Theory. His work explores Shimura varieties, moduli spaces of abelian varieties, and locally symmetric algebraic varieties, with a particular emphasis on their geometric and arithmetic properties. Additionally, he has contributed to the study of p-divisible groups, affine flag varieties, and G-bundles on curves, shaping theoretical frameworks in these domains. His scholarly contributions include influential publications such as "Smooth compactifications of locally symmetric varieties" (2010) and "Period spaces for p-divisible groups" (1996). These works span topics like modular forms, special cycles, and coefficient spaces, reflecting a deep integration of geometry and number theory. Scientific Awards Heinz-Hopf-Preis (2011) Prix Gay-Lussac/Humboldt (2000) Gottfried-Wilhelm-Leibniz-Preis (1992) Akademiestipendium of the VW-foundation (1991) Rapoport has also played a pivotal role in academic governance, serving on editorial boards and selection committees. He was an Associate Editor of the Duke Mathematical Journal (1995-2000) and a member of the Scientific Committee at the Max Planck Institute for Mathematics in Bonn for two decades (1988-2008).

Alan DowView profile

Professor

• Topology
• Set Theory
• Set-Theoretic Topology
• +3 more

Alan Dow is a Professor of Mathematics at the University of North Carolina at Charlotte (UNC Charlotte), affiliated with the Mathematics & Statistics Department within the College of Liberal Arts and Sciences. His research focuses on advanced areas of topology, set theory, and their intersections, including topics like ultrafilters, compactifications, forcing axioms, and cardinal invariants. He has collaborated extensively with researchers such as Saharon Shelah, K.P. Hart, and Osvaldo Guzman, producing groundbreaking work on spaces like N*, S-spaces, and the Stone-Čech compactification. His work often employs set-theoretic methods, exploring properties of topological spaces under different axiomatic frameworks such as Martin's Axiom (MA) and Proper Forcing Axiom (PFA). Key contributions include studies on automorphisms of Boolean algebras, pseudoradial spaces, and the structure of compact spaces under varying continuum hypotheses. His research also addresses foundational questions in topology, such as the existence of Efimov spaces and the behavior of topological invariants like weight and tightness. Dr. Dow’s publications frequently appear in journals like *Topology and its Applications*, *Fundamenta Mathematicae*, and *Israel Journal of Mathematics*. His research trends emphasize the interplay between set theory and topology, with a focus on constructing and analyzing spaces that test limits of classical topological principles under various set-theoretic assumptions. He has received no explicitly listed scientific awards but maintains an active research agenda with numerous collaborations. His academic contributions include advising and mentoring, though specific student names are not documented here. Office: Fretwell 390J, Email: adow@uncc.edu.

A. Stephen MorseView profile

Professor

• Control Systems
• Network Science
• Multi-Agent Systems
• +5 more

A. Stephen Morse is the Dudley Professor of Electrical & Computer Engineering at Yale University. He has been affiliated with Yale since 1970 and holds memberships in prestigious organizations such as the National Academy of Engineering and the Connecticut Academy of Science and Engineering. His research focuses on control systems, including hybrid systems, network science, multi-agent coordination, and sensor networks. He has received numerous awards, including the Bellman Control Heritage Award (2013) and the IEEE Technical Field Award (1999). Morse earned his BSEE from Cornell University, MS from the University of Arizona, and PhD from Purdue University. His work emphasizes logic-based switching, vision-based control, and distributed algorithms for autonomous systems. He has contributed to foundational papers on multi-agent consensus and formation control, as well as sensor network localization. Current projects include swarming dynamics and reactive control strategies for autonomous vehicles. His scientific contributions span over 200 publications, with recent work addressing distributed control algorithms, climate impact modeling, and game-theoretic network analysis. Morse advises graduate students like Ming Cao and Jia Fang, and his research group explores cutting-edge topics in systems theory and robotics.

Daniel FruminView profile

Assistant Professor

• Logic
• Type Theory
• Program Verification
• +5 more

Daniel Frumin is an Assistant Professor in the Department of Fundamental Computing Science at the University of Groningen, affiliated with the Bernoulli Institute. His research focuses on Logic, Type Theory, and Program Verification, with a particular emphasis on formal methods for concurrency, type systems, and homotopy type theory. He has contributed to foundational work in denotational semantics, modular programming language design, and mechanized verification of concurrent systems. His expertise includes the application of logical frameworks to concurrency models, such as ReLoC (Relational Logic for Concurrent Programming) and the integration of type theories with operational semantics. Recent work explores guarded interaction trees, interval domains in homotopy type theory, and compositional security properties for fine-grained systems. Frumin has published extensively in top-tier venues like ESOP, CONCUR, and ACM POPL, with peer-reviewed contributions on topics ranging from bunched implications in session-based concurrency to formal verification of data structures like concurrent queues. His research often bridges theoretical computer science and practical formal verification, leveraging tools like Coq for mechanized proofs. Collaborations include projects with institutions such as Aarhus University (Denmark) and the University of Bologna, focusing on univalent foundations, categorical semantics, and security verification. His work is supported by grants from the Dutch Research Council (NWO) and industry partnerships like Meta's Folly Library verification efforts. Labs/Teams: Active contributor to the Bernoulli Institute's Formal Methods Group and the Univalent Foundations initiative. His research group specializes in applying type-theoretic and categorical methods to concurrency and verification challenges.