Find Academic Supervisors

Jonathan M. RosenbergView profile

Professor

• K-theory
• Noncommutative Geometry
• C*-algebras
• +7 more

Jonathan M. Rosenberg is a Professor of Mathematics at the University of Maryland, where he holds the Ruth M. Davis Professorship. His career spans several decades with significant contributions across multiple mathematical disciplines. He maintains active involvement in departmental activities including the Geometry/Topology Seminar, Algebra/Number Theory Seminars, Departmental Colloquium, and Geometry and Physics RIT. Rosenberg's research focuses on the deep connections between topology, geometry, and mathematical physics. His primary interests include K-theory, noncommutative geometry, C*-algebras, index theory of elliptic operators, and positive scalar curvature problems. His work bridges pure mathematics with theoretical physics, particularly in string theory applications. His research has evolved to address increasingly sophisticated questions in manifold theory, pseudomanifolds, and their connections to physical theories. His recent publications show a continued focus on positive scalar curvature problems across various geometric settings including spin c manifolds, pseudomanifolds, and manifolds with boundary. Rosenberg also maintains active collaborations with leading mathematicians like Boris Botvinnik, Varghese Mathai, and others, producing work that connects topology with mathematical physics through T-duality and related concepts. His publications span prestigious journals including Journal of Geometry and Physics, Communications in Mathematical Physics, and Advances in Theoretical and Mathematical Physics. Fellow of the American Mathematical Society Ruth M. Davis Professorship at University of Maryland Co-editor of influential volumes including "Novikov Conjectures, Index Theorems and Rigidity" Author of the graduate textbook "Algebraic K-Theory and its Applications" Principal speaker at multiple NSF/CBMS Regional Conferences Rosenberg serves on editorial boards of several prominent journals including Annals of K-Theory (as Managing Editor Emeritus), Journal of Topology and Analysis (as Managing Editor), Homology Homotopy and Applications, SIGMA, and The New York Journal of Mathematics. He previously served as Secretary of the K-Theory Foundation from 2010 to 2021. His teaching responsibilities span undergraduate courses including Calculus and Differential Equations to advanced graduate courses in K-theory, Homotopy Theory, and Noncommutative Geometry. He has maintained the Novikov Conjecture home page and the UMCP Math Department electronic journals web page as significant service contributions to the mathematical community.

Koen van den DungenView profile

Researcher

• Noncommutative geometry
• Unbounded KK-theory
• Fredholm operators
• +6 more

Dr. Koen van den Dungen is a researcher at the Mathematical Institute of the University of Bonn , specializing in noncommutative geometry and unbounded KK-theory with applications to Fredholm operators , spectral flow , index theory , and gauge theories in both classical and quantum contexts. He has organized the NSeaG2023 meeting at the Hausdorff Center for Mathematics (HCM) , which included a school on noncommutative geometry and a workshop for researchers in the field. His research spans various subfields, including operator algebras , mathematical physics , and Lorentzian geometry , with a focus on the interplay between geometry and operator theory. He has contributed to the study of Kasparov product , Dirac operators , and Callias-type theorems , particularly in relation to noncommutative spaces and quantum field theories . Dr. van den Dungen's recent publications emphasize unbounded KK-theory , index theory , and noncommutative geometry , with keywords such as K-Theory , Operator Algebras , and Mathematical Physics . He has collaborated extensively with researchers like Bram Mesland, Adam Rennie, and Walter D. van Suijlekom, and his work has been published in journals including Forum of Mathematics, Sigma , Annales Henri Poincaré , and Journal of Noncommutative Geometry . At the University of Bonn, he has taught advanced courses such as Graduate Seminar on Global Analysis and Lecture course V5B8 'Selected Topics in Analysis' , focusing on noncommutative spaces and K-theory of C*-algebras . His teaching roles include assisting in Einführung in die Komplexe Analysis and Global Analysis courses. Dr. van den Dungen has not been explicitly mentioned as receiving scientific awards, but his leadership in organizing the NSeaG2023 workshop underscores his academic influence. His email contact is kdungen@uni-bonn.de or kdungen@math.uni-bonn.de , and his office is located in Room 1.032 at the Mathematical Institute (Endenicher Allee 60) .

Mingda LiView profile

Associate Professor

• Quantum Materials
• Topological Quantum Matter
• Nanoscale Thermal Transport
• +4 more

Mingda Li is an Associate Professor in the Department of Nuclear Science and Engineering at the Massachusetts Institute of Technology (MIT), holding the Class of 1947 Career Development Professorship. His research spans quantum materials, nanoscale energy transport, and AI-driven materials discovery, utilizing neutron/X-ray scattering techniques and machine learning to address challenges in quantum computing, thermal management, and energy conversion. He leads the Quantum Measurement Group and teaches graduate courses including Quantum Theory of Materials Characterization. Education: Bachelor of Science in Engineering Physics, Tsinghua University, 2009 Doctor of Philosophy in Nuclear Science and Engineering, MIT, 2015 Postdoctoral Research, MIT Mechanical Engineering Department Research Interests: Dr. Li's quantum research develops theoretical frameworks for topological order and defect-engineered quantum materials, with applications in microelectronics and quantum computing. His energy transport studies investigate phonon/electron dynamics at interfaces under non-equilibrium conditions to design materials for thermal management in electronics. The AI program creates symmetry-aware generative models that integrate ab initio calculations with experimental data, enabling closed-loop materials discovery for quantum and energy technologies. Publication Trends: Analysis of 15 recent 2025 publications reveals dominant themes in quantum materials (topological semimetals, 2D magnets), AI-driven design (generative models, symmetry-equivariant networks), and advanced characterization (neutron/X-ray spectroscopy). Key innovations include defect engineering for thermal transport, machine learning for spectroscopic data interpretation, and quantum phenomenon discovery in complex materials, reflecting strong interdisciplinary integration. Scientific Awards: No scientific awards were mentioned in the provided text. Advising and Grants: Dr. Li mentors graduate students in the Quantum Measurement Group, guiding research in quantum materials characterization and AI applications. He has taught core courses including Applied Nuclear Physics and Machine Learning in Nuclear Science and Engineering. His research is supported by grants focused on quantum engineering and nuclear materials, with collaborations spanning national laboratories and industry partners for quantum computing and energy applications. Labs and Teams: The Quantum Measurement Group operates at the intersection of experimental physics and computational science, utilizing neutron scattering facilities (including Spallation Neutron Source) and ultrafast X-ray techniques. The team develops custom software for data analysis and collaborates with institutions like MIT.nano for materials synthesis, maintaining a pipeline from theoretical prediction to device-level validation for quantum and thermoelectric materials.

• Differential Geometry
• Spectral Geometry
• Geometric Analysis
• +4 more

Dorothee Schueth is a Professor at the Institute of Mathematics , Humboldt-Universität zu Berlin, specializing in Differential Geometry and Spectral Geometry . She teaches advanced courses like Differentialgeometrie III and IV , focusing on topics such as Lie groups , Dirac operators , and curvature invariants . Research : Her work explores isospectral manifolds and geometric analysis , including eigenvalue estimations and heat kernel coefficients on geodesic polygons. Key Publications : Recent articles address spectral rigidity in compact Lie groups, quantum-classical divergence in magnetic fields, and inaudible curvature properties. Awards : Hausdorff Prize (University of Bonn, 1993) Students : Supervised PhD/Master theses on differential geometry, including works by P. Polymerakis, T. Berg, and S. Boldt.

• Quantum Field Theory
• Particle Physics
• Chiral Perturbation Theory
• +4 more

Jiří Novotný is a Professor at the Faculty of Mathematics and Physics of Charles University in Prague, Czech Republic. He is affiliated with the Institute of Particle and Nuclear Physics , where his research focuses on theoretical particle physics, quantum field theory, and low-energy QCD phenomena. He is actively involved in teaching and research, with a strong publication record in high-impact journals. Research Interests Prof. Novotný's research spans a wide range of topics in theoretical physics, with a particular emphasis on: Quantum Field Theory : Anomalies, effective Lagrangians, and chiral perturbation theory. Low-Energy QCD : Chiral symmetry breaking, order parameters, and meson decays. Scattering Amplitudes : Soft theorems, celestial holography, and modern amplitude techniques. Effective Field Theories : Galileon theories, DBI actions, and their generalizations. Publications and Research Impact His recent work has significantly advanced the understanding of soft theorems in gauge and gravity theories, the structure of scattering amplitudes in chiral perturbation theory, and the application of celestial holography to flat-space physics. His publications often appear in top-tier journals such as Journal of High Energy Physics (JHEP) , Physical Review D , and Physical Review Letters . Teaching and Outreach Prof. Novotný teaches advanced courses in Quantum Field Theory I & II and Selected Parts of Quantum Field Theory . He is also involved in the Physics Olympiad to promote physics education among students.

Rupert FrankView profile

Professor

• Analysis
• Mathematical Physics
• Spectral Theory
• +8 more

Rupert Frank is a Professor of Mathematics at the University of Munich (LMU Munich) . He has held academic positions at Caltech (2013–2021) and Princeton University (2009–2013). His research spans Mathematical Physics , Spectral Theory , and Functional Inequalities , with a focus on quantum many-body systems, stability of matter, and nonlocal operators. Research Themes : Analysis of eigenvalues for Schrödinger and Pauli operators with complex potentials Semi-classical spectral asymptotics and effective theories for quantum systems Matrix inequalities and quantum information theory Calculus of variations in models like the liquid drop problem Geometric inequalities and their applications to quantum mechanics Magnetic field effects on spectral properties Recent Publications : 2025: Sharp stability for Sobolev/log-Sobolev inequalities with dimensional dependence 2025: Endpoint Schatten class properties of commutators 2024: Degenerate stability of Caffarelli-Kohn-Nirenberg inequality 2024: Hardy inequalities for large fermionic systems 2023: Review on Scott conjecture for Coulomb systems Scientific Awards : Young Scientist Prize in Mathematical Physics (2009) Grants and Collaborations : Principal Investigator in CRC TRR 352 (2023–) PI in Munich Center for Quantum Science and Technology (2019–) Multiple NSF grants (2009–2020) DFG and DAAD grants Editorial and Conference Leadership : Editorial boards: Communications in Mathematical Physics , Journal in Mathematical Physics , Journal of Spectral Theory , SIAM Journal on Mathematical Analysis , Springer Lecture Notes Organized conferences/workshops on quantum many-body systems, spectral methods, and functional inequalities (2018–2025)

Miklós Tibor HorváthView profile

Professor

• Inverse Spectral Problems
• Sturm-Liouville Operators
• Inverse Scattering Theory
• +3 more

Miklós Tibor Horváth is a Professor at the Department of Mathematics , Budapest University of Technology and Economics , specializing in inverse spectral problems and differential operators. He serves as Head of Department and holds the MTA doktora degree. Email: horvath@math.bme.hu Office: H226c Phone: +36-1-463-2630 Research Interests: His work focuses on inverse spectral theory, including reconstruction of linear differential operators from spectral data, eigenvalue distribution of Sturm-Liouville problems, and fixed-energy inverse scattering. Key areas include stability analysis of inverse problems and closed exponential systems. Publications & Teaching: Horváth has published extensively in journals like Inverse Problems and Transactions of the American Mathematical Society , with notable contributions to stability theorems and spectral shift functions. He teaches courses such as Analysis 2 , Functional Analysis , and Inverse Distribution Problems at both undergraduate and graduate levels. Additional Information: Personal Website: http://math.bme.hu/~horvath Mathscinet Profile: AMS Profile Google Scholar: Google Scholar Profile

Saman Habibi EsfahaniView profile

Research Professor

• Differential Geometry
• Gauge Theory
• Low-Dimensional Topology
• +7 more

Saman Habibi Esfahani is a William W. Elliott Assistant Research Professor of Mathematics at Duke University, affiliated with the Trinity College of Arts & Sciences. He holds a Ph.D. from Stony Brook University (2022), supervised by Sir Simon Donaldson. His research focuses on geometric analysis and differential geometry, with specialties in gauge theory, special Lagrangians in Calabi-Yau manifolds, and Floer homology. He has held postdoctoral positions at Duke and MSRI, and is part of the Simons Collaboration on Special Holonomy. Education Ph.D. in Mathematics, Stony Brook University, 2022 Visiting Scholar, University of California, Berkeley, 2022–2023 Research Interests His work bridges differential geometry and topology, emphasizing three main areas: (1) Special Lagrangians and the Donaldson-Scaduto conjecture in Calabi-Yau 3-folds, (2) Gauge theory and monopoles in manifolds with special holonomy, and (3) Developing Floer homology theories using Fueter sections. Recent contributions include proving uniqueness in the Donaldson-Scaduto conjecture and advancing compactness theorems critical for defining new Floer invariants. Professional Activities He has presented at institutions like Harvard, UC Berkeley, and MSRI, and contributed to conferences on special holonomy and geometric analysis. His research is supported by the Simons Collaboration on Special Holonomy. Teaching Recent courses include Differential Geometry, Real Analysis, and Graduate Complex Analysis at Duke University.

Eckhard MeinrenkenView profile

Professor

• Symplectic Geometry
• Mathematical Physics
• Lie Theory
• +1 more

Eckhard Meinrenken is a Professor in the Department of Mathematics at the University of Toronto , specializing in Symplectic Geometry , Mathematical Physics , Lie Theory , and Differential Geometry . His research spans geometric structures in infinite-dimensional settings, including Hamiltonian loop group spaces, Dirac geometry, and applications of equivariant cohomology. Fellow of the Royal Society of Canada (FRSC) Author of influential monographs such as Clifford Algebras and Lie Theory (Springer, 2013) and Manifolds, Vector Fields and Differential Forms (Springer, 2023) Research Trends: Recent work focuses on moduli spaces, singular weightings, Manin pairs, and Verlinde formulas, bridging symplectic geometry with algebraic and topological invariants. His publications emphasize geometric quantization, Poisson structures, and infinite-dimensional Lie theory. Scientific Awards: Fellow of the Royal Society of Canada (FRSC) Collaborations: Frequent collaborations with researchers like Anton Alekseev, Yiannis Loizides, and David Li-Bland on problems in symplectic topology, loop groups, and Dirac geometry.

• Mathematical Physics
• Analysis
• Probability Theory
• +4 more

Prof. Dr. Peter Müller is a Professor at the Mathematical Institute of Ludwig Maximilian University of Munich (LMU), where he also serves as Dean of the Faculty of Mathematics, Informatics and Statistics. His research group focuses on Analysis, Mathematical Physics, and Numerics. Office: Room 439, Block B, Theresienstr. 39, 80333 Munich. Education: Habilitation in Mathematics, University of Göttingen (2006) Habilitation in Physics, University of Göttingen (2002) Ph.D. in Physics, University of Erlangen-Nürnberg (1996) Diploma in Physics, University of Erlangen-Nürnberg (1991) Research Interests: Müller's work spans mathematical physics, analysis, and probability theory, with emphasis on: Random Schrödinger operators and spectral theory Delocalization phenomena in disordered systems Quasiperiodic structures and ergodic properties Entanglement entropy in quantum systems His research bridges rigorous mathematical analysis with applications in quantum mechanics and statistical physics. Publication Trends: Recent articles (2013–2025) predominantly explore spectral theory in disordered quantum systems. Key themes include localization/delocalization transitions, asymptotic analysis of entanglement entropy, and spectral properties of random operators. Methodologically, his work combines functional analysis, stochastic processes, and operator theory to address fundamental questions in mathematical physics. Student Advising: Extensive mentorship of graduate students: 8 PhD students (e.g., Jakob Stern, Ruth Schulte) 17 Master's students (e.g., Leonard Wetzel, Julian Widl) Research Team: Leads the working group "Analysis, Mathematical Physics and Numerical Analysis" with postdoctoral researchers (e.g., Constanza Rojas-Molina) and PhD candidates. Regularly organizes international conferences on mathematical physics and disordered systems.

• High-performance 2D electronic devices
• New-principle nanoelectronic devices
• Integrated circuits based on high-performance 2D electronic devices
• +3 more

Peng Chen is an Associate Professor at the Shenzhen-Hong Kong Institute of Microelectronics, Southern University of Science and Technology, Shenzhen, China. He has served in this position since December 2022, following his role as an Assistant Professor from September 2021 to December 2022 at the same institution. Educational Background: Ph.D. (2010-2016), Institute of Physics, Chinese Academy of Sciences, China Bachelor (2006-2010), Department of Physics, Northwestern University, China Dr. Chen's research focuses on developing high-performance two-dimensional semiconductor information devices and integration technologies for the post-Moore era. His work spans the development of new materials, novel device principles, and high-performance integrated circuits based on 2D electronic devices. By exploring the fundamental physics of 2D materials and their heterostructures, his research aims to overcome the performance limitations of conventional micro- and nanoelectronic devices and circuits. His publication record demonstrates expertise across multiple domains of 2D materials research, with particular emphasis on transition metal dichalcogenides like WS2 and WSe2. His work spans from fundamental material synthesis to device physics and practical applications in electronics and optoelectronics, reflected in publications in high-impact journals including Nature, Science, and Nature Materials. Scientific Awards: National High-level Young Talent Program (2022) Shenzhen High-level Talent Program (2021) First Prize of Science and Technology Award of China Materials Research Society (2020) Director Scholarship of Institute of Physics, Chinese Academy of Sciences (2015, 2013) Three Good Students of Chinese Academy of Sciences (2014, 2013) Dr. Chen serves as a Doctoral Supervisor with an impressive publication record of over 40 papers in top international journals, including 2 Nature, 1 Science, and 1 Nature Materials papers. His work has been cited over 4,000 times with an H-index of 29. He has secured funding through the National Natural Science Foundation of China's High-level Young Talent Program, a general program, and projects from the Shenzhen Municipal Science and Technology Innovation Commission. He actively serves as a reviewer for multiple journals and as a fund reviewer. Dr. Chen leads a research group focused on high-performance and new principle logic and sensing devices, exploring applications in next-generation information and life health technologies. The group maintains a strong academic atmosphere and welcomes postdoctoral fellows and graduate students with backgrounds in microelectronics, physics, materials science, and biology.

Konstantin WernliView profile

Assistant Professor

• Quantum Field Theory
• Mathematical Physics
• Geometric Quantization
• +3 more

Konstantin Wernli is an Assistant Professor in the Department of Mathematics and Computer Science at the University of Southern Denmark, affiliated with the Quantum Mathematics research group. His research focuses on quantum field theory, geometric quantization, and mathematical physics, with a particular emphasis on topological field theories and perturbative methods. He has contributed to foundational work in Chern-Simons theories, BV-BFV formalisms, and geometric analysis. His research interests include quantum field theories, algebraic geometry, and the intersection of topology with physics. Notably, he explores combinatorial approaches to quantum field theory, geometric quantization frameworks, and the application of advanced mathematical tools to solve problems in theoretical physics. Recent work includes studies on partition functions, constrained dynamical systems, and the globalization of sigma models. His articles often bridge abstract mathematics with physical applications, such as analyzing heat kernels, theta invariants, and entanglement polytopes. Wernli is a project participant in the Sapere Aude grant 'FROM PERTURBATIVE TO NON-PERTURBATIVE QUANTUM FIELD THEORY BY CUTTING AND GLUING' (2024–2028), which aims to advance non-perturbative QFT techniques. He has advised on research projects involving heat kernel analysis and geometric quantization, though no formal student advisees are listed.

Horváth Miklós TiborView profile

Professor

• Inverse Spectral Problems
• Linear Differential Operators
• Schrödinger Operators
• +3 more

Horváth Miklós Tibor is a University Professor at the Department of Mathematics, Budapest University of Technology and Economics. His research focuses on inverse spectral problems for linear differential operators, particularly Schrödinger and Dirac operators, and topics such as inverse scattering theory and eigenvalue distribution. Research Interests: Inverse spectral problems, Schrödinger operators, Sturm-Liouville theory, inverse scattering, measure theory. Teaching: Courses include Analysis 2, Functional Analysis, and Distribution Theory. Contact: horvath@math.bme.hu

Rudolf ZeidlerView profile

Professor

• Geometry
• Topology
• Scalar Curvature
• +4 more

Rudolf Zeidler is a Professor at the Institute of Mathematics of the University of Potsdam . His research lies at the intersection of geometry and topology , with a focus on problems involving scalar curvature , spin geometry , and index theory . Previously, he held positions at the University of Münster (2016–2025) and earned his doctoral degree in 2016 from the University of Göttingen under the supervision of Thomas Schick . Current Position: Professor, University of Potsdam Previous Affiliation: University of Münster Education: PhD in Mathematics, University of Göttingen (2016) Zeidler's research explores the interplay between scalar curvature , Dirac operators , and topological invariants . His work includes rigidity theorems for warped product metrics, band width estimates, and applications of coarse geometry to Kazhdan groups. He has led the ERC Starting Grant Project COMSCAL and participated in collaborative initiatives like the Cluster of Excellence Mathematics Münster and the CRC 1442 Geometry: Deformations and Rigidity . Key trends in his publications (2016–2025) reflect a deep engagement with spin manifolds , positive mass theorems , generalized Callias operators , and noncompact geometric rigidity . His methods often involve boundary value problems for Dirac operators and novel index-theoretic approaches. Scientific Awards: Heisenberg Programme (DFG) ERC Starting Grant COMSCAL Projects: DFG Priority Programme Geometry at Infinity CRC 1442 Geometry: Deformations and Rigidity

Romain DanneauView profile

Researcher

• Quantum transport
• Low temperature solid state physics
• Mesoscopic physics
• +9 more

Romain Danneau is a permanent scientist and Project Leader at the Karlsruhe Institute of Technology (KIT), affiliated with the Institute for Quantum Materials and Technologies (IQMT) and previously the Institute of Nanotechnology (INT). His research focuses on quantum transport in graphene and carbon-based nanostructures, with an emphasis on mesoscopic physics, superconductivity, and device applications. He leads a research group dedicated to the electronic properties of graphene, supported by internal and international collaborations across Europe, Asia, and the Americas. His research interests include quantum transport, low-temperature solid-state physics, mesoscopic systems, graphene, carbon nanotubes, proximity-induced superconductivity, topological effects in condensed matter, and low-noise microwave measurements. His work bridges fundamental physics and applied nanoelectronics, particularly in designing and characterizing quantum devices operating at millikelvin temperatures. The 15 most recent publications reveal a strong trend in hybrid superconducting graphene devices, multiterminal Josephson junctions, quantum interference, and the manipulation of Cooper pairs. Key subfields include Andreev reflection, ballistic transport, spin-valley coupling, Floquet engineering, and phase-coherent phenomena. His recent work increasingly explores topological aspects and non-local quantum effects in graphene-based systems. Australian Research Council Discovery Project Award Fellowship (2005) Invited professorship from Sejong University, Seoul, Korea (2012) Grant for large equipment from KIT-DFG (2011) Grant for small equipment from KIT-DFG excellence initiatives (2009) Romain Danneau has supervised students such as Christian and Julien, who completed theses on graphene microwave transistors and proximity-induced superconductivity, respectively. He has secured significant funding from the DFG, EU (FP7 programs), and KIT-DFG initiatives, including grants exceeding €450,000 for equipment and collaborative projects. His leadership in the EU Tempus IV XNEM project highlights his role in developing nanoscience education in the MENA region. He leads the Graphene team at INT/IQMT, which benefits from advanced infrastructure such as a cryo-free dilution refrigerator (BlueFors LD250) with a 12 T magnet, enabling millikelvin measurements. His group collaborates internationally and focuses on both fundamental quantum phenomena and device applications in graphene and 2D materials.