Find Academic Supervisors

• Algebra
• Category Theory
• Commutative Algebra
• +3 more

Henrik Granau Holm is a Professor in the Department of Mathematical Sciences at the University of Copenhagen. His research focuses on advanced algebraic structures within category theory and commutative algebra, with significant contributions to derived categories and quiver representations. His primary research areas include Algebra, Category Theory, Commutative Algebra, Derived Categories, Quiver Representations, and Homological Algebra. His work explores the structural properties of derived categories, particularly Q-shaped derived categories, and their applications in representation theory. Recent research investigates compact and perfect objects in ring-derived categories, tensor embeddings in Grothendieck cosmos, and vanishing properties of Tor functors. Holm's publication record shows consistent output in top mathematics journals, with multiple 2024 publications including a book on derived category methods in commutative algebra. His research demonstrates strong international collaboration, particularly with researchers in representation theory and category theory. Holm has supervised PhD students and postdoctoral researchers as indicated by departmental records. His activities include editorial work for Mathematical Reviews and Zentralblatt MATH, along with numerous lecture presentations on cohomology and AC rings dating back to 2007.

• Algebraic Topology
• Moduli Spaces
• Homology Spheres
• +5 more

Søren Galatius is a Visiting Professor at the Department of Mathematical Sciences, University of Copenhagen. His research focuses on algebraic topology with an emphasis on moduli spaces, homology spheres, K-theory, and cobordism categories. He holds a PhD and has established himself as a leading figure in geometric topology and algebraic structures in mathematics. Recent research has explored topics such as general linear groups over finite fields, Pontryagin classes, and tropical geometry applications to moduli spaces. His work bridges pure algebraic topology with geometric and combinatorial methods, contributing foundational insights into modern mathematical frameworks. Key collaborations include projects with Oscar Randal-Williams and Martin Hairer, advancing understanding of cobordism categories and topological field theories. His articles consistently appear in top-tier journals like Annales Scientifiques de l'Ecole Normale Superieure and Inventiones Mathematicae . No scientific awards or grants are explicitly listed in the provided materials, though his publication record speaks to significant academic contributions. No advisee students are documented here.

Steffen SagaveView profile

Associate Professor

• Algebraic Topology
• Homotopy Theory
• K-Theory
• +3 more

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.

Lars HesselholtView profile

Professor

• Algebraic Topology
• K-Theory
• Homological Algebra
• +3 more

Lars Hesselholt is a Professor at the Department of Mathematical Sciences, University of Copenhagen, and a key member of the Copenhagen Centre for Geometry and Topology (GeoTop). His research focuses on the intersection of algebraic topology, K-theory, and arithmetic geometry, with significant contributions to topological Hochschild homology and its applications to number theory and algebraic geometry. His recent work includes advancements in Dirac geometry, connections between topological cyclic homology and the Fargues–Fontaine curve, and studies on the K-theory of division algebras over local fields. These publications highlight his role in bridging homotopy theory with arithmetic structures. Hesselholt maintains an active research profile, with 36 research outputs documented, including collaborations with mathematicians like Thomas Nikolaus, Morten Larsen, and Ayelet Lindenstrauss. His work spans topological methods in algebraic geometry, cyclic homology, and noncommutative geometry. For correspondence, he can be reached at larsh@math.nagoya-u.ac.jp or via phone at +4551319971. His office is located at Universitetsparken 5, 2100 København Ø, Denmark.

Kevin K. LehmannView profile

Professor

• Molecular Spectroscopy
• Ultrasensitive Detection
• Cavity Ring-Down Spectroscopy
• +12 more

Kevin K. Lehmann is the William R. Kenan, Jr., Professor of Chemistry at the University of Virginia, within the Department of Chemistry in the College of Arts & Sciences. He is a leading researcher in molecular spectroscopy, with a focus on ultrasensitive detection methods such as cavity ring-down spectroscopy (CRDS) and double-resonance techniques. His educational background includes a B.S. from Cook College, Rutgers University (1977), a Ph.D. from Harvard University (1983), and a Junior Fellowship at the Harvard Society of Fellows. Lehmann's research is centered on advancing trace gas sensing using optical methods, particularly CRDS with high-reflectivity cavities and telecom-grade lasers. His group has pioneered Doppler-free two-photon CRDS and sub-Doppler double-resonance spectroscopy using frequency combs, enabling high-precision measurement of molecular transitions in gases like methane and nitrous oxide. These methods have applications in atmospheric science, planetary exploration (e.g., Mars missions), and combustion diagnostics. He also investigates meta-science questions around the reproducibility of spectroscopic data. The recent publications highlight a strong trend in high-resolution, quantum-limited spectroscopic techniques applied to small polyatomic molecules. There is a clear focus on enhancing selectivity and sensitivity through nonlinear optical effects, cavity enhancement, and advanced detection schemes. Applications span environmental monitoring, astrochemistry, and fundamental molecular physics. Fellow of the Optical Society, 2011 W.R. Kenan Professor of Chemistry, 2009 Earle K. Plyler Award in Molecular Spectroscopy, 2003 Thomas A. Edison Patent Award, 2002 Fellow of the American Physical Society, 1995 Lehmann has advised numerous graduate students and postdoctoral researchers, and his lab has been supported by grants from agencies involved in space exploration, environmental science, and fundamental physics. His work has led to commercial instrumentation through Tiger Optics, Inc. He maintains strong international collaborations, particularly with researchers in Sweden on methane spectroscopy. While specific grant details are not listed, the scope and impact of his research suggest sustained funding from NSF, NASA, and DOE. His laboratory focuses on optical cavity-based sensors and high-resolution spectroscopy setups, integrating frequency combs, narrow-linewidth lasers, and cryogenic pre-concentration systems for trace analysis. The team combines experimental innovation with theoretical modeling to interpret complex spectra and improve measurement fidelity.

Yuqing ShiView profile

Research Fellow

• Algebraic Topology
• Unstable Periodic Homotopy Theory
• Koszul Duality
• +2 more

Yuqing Shi is a Postdoctoral Fellow at the Max Planck Institute for Mathematics in Bonn, Germany, specializing in advanced areas of algebraic topology. Their research focuses on unstable periodic homotopy theory, Koszul duality, chromatic homotopy theory, and Goodwillie calculus. Shi has established academic connections with both the University of Bonn and University of Utrecht, where they have taught courses and supervised student research. Shi completed their PhD at the Utrecht Geometry Centre of University of Utrecht under the supervision of Gijs Heuts, with doctoral research centered on the periodic homotopy theory of topological spaces. Prior to their doctoral studies, they earned both Bachelor's and Master's degrees at University of Bonn, writing their theses with Peter Teichner at the Max Planck Institute for Mathematics. Shi's research explores deep connections between algebraic structures and topological phenomena. Their work on unstable periodic homotopy investigates periodic patterns in homotopy groups of spaces, while their research on Koszul duality examines fundamental relationships between algebraic constructions. The chromatic approach provides a framework for organizing topological complexity, and Goodwillie calculus offers tools for analyzing functors between categories of spaces. As an academic community builder, Shi has organized multiple specialized seminars including the Reading Seminar on the Unstable Adams Spectral Sequence (2024), the Reading Seminar on Orientations of Ring Spectra (2022), and the Reading Group on Synthetic Spectra (2020-2021). They are also co-organizing the upcoming Workshop on Unstable Homotopy Theory (November 2024) at the Max Planck Institute. Shi has demonstrated commitment to education through teaching a lecture course on Koszul duality at University of Bonn (Winter Semester 2024/2025), supervising a Bachelor thesis on the Borsuk-Ulam theorem, co-organizing a Master student seminar on algebraic topology, and serving as teaching assistant for various mathematics courses at both University of Utrecht and University of Bonn.

Lynn KistlerView profile

Professor

• Plasma Physics
• Space Weather
• Magnetospheric Dynamics
• +3 more

Lynn Kistler is a Professor in the Department of Physics & Astronomy at the University of New Hampshire (UNH), part of the College of Engineering and Physical Sciences. Her research focuses on plasma physics, space weather, and magnetospheric dynamics, particularly investigating the interactions between the solar wind and Earth's magnetosphere-ionosphere system. She holds a Ph.D. in Physics from the University of Maryland, along with a B.S. from Harvey Mudd College. Dr. Kistler's work emphasizes understanding plasma processes such as ion outflow from the ionosphere, magnetic reconnection, and storm-time magnetospheric evolution. She has led studies using data from missions like the Van Allen Probes, Solar Orbiter, and Cluster, contributing to advancements in instrumentation (e.g., the SWA suite) and computational modeling. Her research bridges observational analysis, theoretical frameworks, and machine learning to address challenges in space weather prediction and plasma dynamics. Key areas of her research include the role of ionospheric ions (O⁺, H⁺) in plasma sheet dynamics, the effects of geomagnetic storms on ring current formation, and the behavior of heavy ions in near-Earth space. She has authored or co-authored over 260 publications, spanning journals like Nature Communications , Geophysical Research Letters , and Journal of Geophysical Research . Dr. Kistler has secured grants and collaborations through initiatives like the NASA Interstellar Mapping and Acceleration Probe (IMAP) and has served as a co-investigator on multiple missions. Her work emphasizes interdisciplinary approaches, combining spacecraft observations with ground-based data and numerical simulations to unravel the complexities of Earth's space environment.

Geoffroy HorelView profile

Lecturer

• Algebraic Topology
• Operads
• Homotopy Theory
• +4 more

Geoffroy Horel is a Lecturer at the University of Paris 13 , affiliated with the Institut Galilée in France. His research spans algebraic topology, operads, and geometric topology, with a focus on homotopy theory and formality theorems. He can be contacted at horel@math.univ-paris13.fr . Research Interests : Algebraic topology, operads, homotopy theory, motivic homology, Galois representations, and knot theory. Projects : Member of the ANR HighAGT project and the Algebraic and Geometric Topology Thematic Network. Advising : Supervises PhD and Master’s students including Nicolas Guès, Coline Emprin, Jinwen Xu, and others. His publications (15 recent works) explore topics like little disks operads, motivic stability, and Galois symmetries.

Luke MooreView profile

Assistant Professor

• Planetary Atmospheres
• Upper Atmospheres of Giant Planets
• Space Environment Interactions
• +5 more

Luke Moore is a Research Assistant Professor of Astronomy at Boston University's Department of Astronomy, with office CAS 402. His research focuses on planetary atmospheres and their interactions with the space environment, particularly the upper atmospheres of giant planets. He is affiliated with the Center for Space Physics at Boston University. Moore earned his BS from the University of Arizona and completed his MA and Ph.D. at Boston University. His academic background has positioned him as a leading researcher in planetary atmospheric science, with expertise spanning observational techniques, computational modeling, and instrument development. Moore's primary research interests include: Modeling and observations of planetary atmospheres, with emphasis on giant planets Upper atmospheric processes and their coupling with the space environment Development and application of computer models for tenuous plasmas in planetary upper atmospheres Ground-based and space-based observational techniques for planetary science H3+ ionosphere studies across multiple planets Ring-planet interactions, particularly Saturn's ring rain phenomenon His extensive publication record demonstrates significant contributions to understanding planetary atmospheres throughout the solar system. Recent work shows a strong focus on Jupiter and Saturn using data from Juno and Cassini missions, with emerging research on Uranus and Neptune utilizing JWST observations. A key research trend involves the connection between ring systems and planetary atmospheres, as well as the role of auroral processes in heating upper atmospheres across the giant planets. Moore is actively involved in instrument development as a key contributor to the Rapid Imaging Planetary Spectrograph (RIPS). This innovative instrument enables high-quality simultaneous spectra and images of extended objects through 'lucky imaging' techniques. RIPS has been successfully deployed at multiple observatories including the Perkins telescope in Flagstaff, Arizona and the 3.67m AEOS telescope, where it has been used to study Mercury's exosphere, the Moon, and Jupiter's moons. His instrument work represents an important bridge between theoretical modeling and observational planetary science.

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.

• Arithmetic Geometry
• Algebraic K-Theory
• Non-Archimedean Geometry
• +1 more

Prof. Dr. Georg Tamme is a faculty member at the Institute of Mathematics (Johannes Gutenberg University Mainz). His research focuses on Arithmetic Geometry and Algebraic K-Theory , with significant contributions to non-Archimedean geometry, motivic homotopy theory, and regulator maps. Research Interests: Tamme's work bridges Algebraic K-Theory Arithmetic Geometry Non-Archimedean Geometry Differential Algebraic K-Theory Advising: He supervises doctoral students including Andreas Gieringer Luca Passolunghi

• Algebraic Topology
• Category Theory
• Lie Groups
• +3 more

Halvard Fausk is an Associate Professor at Oslo Metropolitan University, affiliated with the Faculty of Technology, Art and Design and the Department of Computer Science, specifically the Mathematical Modelling group. His research focuses on algebraic topology, category theory, and homotopy theory. His work includes foundational studies on equivariant homotopy theory for pro-spectra and pro-finite groups, induction theorems for compact Lie groups, and explorations of adjoint isomorphisms. Publications span journals like Geometry and Topology , Transactions of the American Mathematical Society , and Homology, Homotopy and Applications . He has co-authored key textbooks such as Lineær Algebra (2024) and Mattenøkkelen (2014), targeting undergraduate education. His recent research trends emphasize algebraic structures in topology, while historical work includes contributions to model categories and topological group theory.

• Quantum Monte Carlo methods
• Quantum many-body systems
• Electronic structure of condensed matter
• +5 more

David M. Ceperley is a Founder Professor in Physics and Research Professor at the University of Illinois at Urbana-Champaign, where he has been a faculty member since 1987. He maintains his office in the Engineering Sciences Building and is affiliated with the Department of Physics within the College of Engineering. His distinguished career has established him as a leading authority in computational quantum physics. Professor Ceperley received his BS in physics from the University of Michigan in 1971 and his Ph.D. in theoretical physics from Cornell University in 1976. Following postdoctoral appointments at the University of Paris and Rutgers University, he worked as a staff scientist at both Lawrence Berkeley and Lawrence Livermore National Laboratories before joining the UIUC faculty. From 1987 until 2012, he also served as a staff scientist at the National Center for Supercomputing Applications. Ceperley's research focuses on developing and applying quantum Monte Carlo methods to study quantum many-body systems. His most significant contribution is his calculation of the energy of the electron gas, which provides fundamental input for electronic structure calculations. He pioneered path integral Monte Carlo methods for quantum systems at finite temperature, particularly for superfluid helium and hydrogen under extreme conditions. His current research encompasses electron fluids, metalization of hydrogen at high pressure, temperature-dependent simulations of solids and liquids, and cold atom systems. Analysis of Ceperley's publication record reveals a consistent trajectory from foundational method development to increasingly complex applications in condensed matter physics. His recent work demonstrates a strong emphasis on high-pressure physics, particularly the behavior of hydrogen and related systems under extreme conditions. The integration of quantum Monte Carlo with other computational approaches represents a significant evolution in his research methodology. B. J. Alder CECAM Prize (2016) Member International Academy of Quantum Molecular Sciences (2013) Blue Waters Professor (2014) Center for Advanced Studies Professor (2009) Founder Professor of Engineering (2006) National Academy of Sciences (2005) Fellow, American Academy of Arts & Sciences (1999) Rahman Prize in Computational Physics (1998) Feenberg Medal (1994) Professor Ceperley has mentored numerous graduate students and postdoctoral researchers throughout his career, contributing significantly to the training of computational physicists. His research has been consistently supported by major funding agencies including the National Science Foundation and Department of Energy. He has taught courses including MSE 485 (Atomic Scale Simulations) and PHYS 460 (Condensed Matter Physics), demonstrating his commitment to education alongside research. His work has positioned him as a leader in computational quantum physics, developing methods that can find exact properties of many-body systems and apply them to diverse materials. His research group continues to advance computational techniques for studying materials under extreme conditions, with particular emphasis on high-pressure hydrogen physics and quantum phase transitions.

Moritz KerzView profile

Professor

• Arithmetic Geometry
• Algebraic K-Theory
• Number Theory
• +1 more

Moritz Kerz is a Professor of Mathematics at the University of Regensburg's Faculty of Mathematics. His research spans arithmetic geometry and algebraic K-theory, with significant contributions to class field theory and cohomological methods. He leads a research group including postdoctoral scholars and doctoral candidates. Research Focus: Kerz's investigations center on: Non-archimedean K-theory and its applications to geometric problems Arithmetic invariants in positive characteristic Higher-dimensional class field theory constructions Monodromy representations and density theorems Publication Trends: Recent work demonstrates a consistent focus on K-theoretic invariants in arithmetic contexts, particularly through: Innovative applications to rigid analytic geometry Interactions between étale cohomology and representation theory Non-commutative generalizations of class field theory Awards: Minkowski Medal (2020) K-theory Prize (2014) Carus Medal (2011) Heinz Maier-Leibnitz Prize (2011) Cultural Prize of Bavaria (2009) Research Group: Current team members include Carolyn Echter, Lukas Krinner, Andrea Panontin, Yanshuai Qin, Yuenian Zhou, and Paul Ziegler, with research spanning arithmetic geometry and K-theory applications.

Emanuele DottoView profile

Associate Professor

• Algebraic Topology
• Hermitian K-theory
• Topological Hochschild Homology
• +3 more

Emanuele Dotto is an Associate Professor in the Mathematics Institute at the University of Warwick, specializing in algebraic topology with focus on Hermitian K-theory, topological Hochschild homology, and equivariant homotopy theory. His research bridges algebraic structures and homotopical methods , particularly through the development of Poincaré categories and real topological Hochschild homology theories. Current projects investigate connections between Witt vectors, cyclic homology, and K-theoretic invariants. He leads seminars on advanced topics including cyclotomic spectra, Franke's algebraicity conjecture, and Adams spectral sequences. Recent editorial responsibilities include the Journal and Bulletin of the London Mathematical Society. EPSRC New Investigator Award recipient (2022-2025) DFG-funded research through SPP 1786 Priority Program