جستجوی استاد راهنمای دانشگاهی

• Arithmetic Geometry
• Algebraic Geometry
• Representation Theory
• +۴ مورد دیگر

Prof. Peter Scholze is a leading mathematician at the University of Bonn and the Max Planck Institute for Mathematics (MPIM). He holds a professorship in the Mathematical Institute at the University of Bonn and is affiliated with MPIM as a principal investigator. His research focuses on arithmetic geometry, representation theory, and p-adic geometry, with notable contributions to perfectoid spaces, prismatic cohomology, and the geometrization of the local Langlands correspondence. Scholze has organized several advanced seminars (ARGOS) and taught courses on topics like condensed mathematics, p-adic geometry, and algebraic geometry. He collaborates widely with researchers such as Laurent Fargues and Bhargav Bhatt. His recent work includes groundbreaking papers on wild Betti sheaves, motivic geometrization of the local Langlands correspondence, and the Habiro ring of number fields. Scholze has pioneered the use of prismatic cohomology to unify p-adic Hodge theories and has developed foundational frameworks in derived algebraic geometry. His research also intersects with representation theory and topological cyclic homology. Affiliations: University of Bonn (Mathematical Institute), Max Planck Institute for Mathematics (MPIM) Research Groups: Arbeitsgruppe Arithmetische Geometrie und Darstellungstheorie Teaching: Recent courses include 'Selected Topics in Algebraic Geometry' and 'Six-Functor Formalisms'. His work frequently explores connections between algebraic geometry and number theory, with a focus on geometric approaches to arithmetic problems. Scholze is a key figure in modern arithmetic geometry, influencing both foundational theory and applied areas like the Langlands program.

Thomas Hartmanمشاهده پروفایل

استاد

• Quantum Gravity
• Quantum Field Theory
• String Theory
• +۴ مورد دیگر

Thomas Hartman is a Professor of Physics in the College of Arts and Sciences at Cornell University. He received his A.B. in Physics from Princeton University in 2004 and his Ph.D. in Physics from Harvard University in 2010. His professional journey includes being a Member of the School of Natural Sciences at the Institute for Advanced Study (2010-2013), Research Associate at the Kavli Institute for Theoretical Physics, UCSB (2013-2014), Assistant Professor at Cornell University (2014-2020), Associate Professor at Cornell University (2020-2022), and Professor at Cornell University (2022-present). Hartman's research focuses on theoretical aspects of quantum gravity and quantum field theory, with particular emphasis on black hole information and strongly interacting quantum fields. His work explores four major interconnected areas: gauge/gravity duality (examining how quantum field theory degrees of freedom organize into fluctuating spacetime), black hole information paradox (investigating the relationship between classical black hole solutions and quantum statistical systems), new approaches to quantum field theory using dualities and entanglement dynamics, and the physics of de Sitter space with implications for early universe cosmology. His research employs techniques from string theory, holographic duality, general relativity, and quantum information theory. Analysis of Hartman's publication record reveals a strong focus on resolving fundamental questions in quantum gravity, particularly through the development of replica wormhole techniques that address the black hole information paradox. His work spans both highly mathematical approaches to quantum gravity and connections to potentially observable phenomena, with increasing emphasis on connections between quantum information science and gravitational physics in recent years. Member, School of Natural Sciences, Institute for Advanced Study, 2010-2013 Hartman has advised graduate students including Jeevan Chandra Namburi and Wan Zhen Chua, contributing to the next generation of theoretical physicists. His research group actively investigates the emergence of spacetime from quantum information principles and develops new mathematical frameworks for understanding quantum gravity. The group maintains strong connections with other leading institutions through collaborative projects and participates in major theoretical physics initiatives including Snowmass planning for future research directions in high energy physics. Hartman's research program represents a vital bridge between abstract theoretical concepts in quantum gravity and potential experimental tests, working to develop frameworks that could ultimately connect quantum gravity to observable phenomena in both high-energy physics and cosmological observations.

Lukas Brantnerمشاهده پروفایل

پژوهشگر ارشد

• Geometry
• Topology
• Algebraic Topology
• +۴ مورد دیگر

Lukas Brantner is a Royal Society University Research Fellow at the Mathematical Institute of the University of Oxford. His research focuses on geometry, topology, and derived algebraic structures, with a particular emphasis on partition Lie algebras, deformation theory, and higher algebraic frameworks. His recent work spans topics such as derived foliations, Poincaré-Birkhoff-Witt theorems, and the complexity of geometric objects like Calabi-Yau varieties in characteristic p. This reflects a deep interplay between algebraic topology, homotopy theory, and modern algebraic geometry. Major Themes: Derived Algebraic Geometry, Homotopy Theory, Deformation Theory, Galois Theory Collaborators: Magidson, Nuiten, Antolín-Camarena, Heuts, Taelman, Campos, Waldron, Hahn, Knudsen, Mathew, Arone, Manners Scientific Awards & Honors: Royal Society University Research Fellow Brantner actively contributes to foundational research in algebraic topology and derived structures, often bridging pure algebra with topological phenomena. His publications highlight the evolution of partition Lie algebras, configuration spaces, and Goodwillie calculus in modern mathematics.

Caterina Consaniمشاهده پروفایل

استاد

• Arithmetic Geometry
• Number Theory
• Non-Commutative Geometry
• +۳ مورد دیگر

Caterina Consani is a Professor of Mathematics at Johns Hopkins University's Krieger School of Arts & Sciences. She holds a PhD from the University of Chicago (1996) and a Dottore di Ricerca in Matematica from the Universities of Genoa and Turin (1993). Her research focuses on arithmetic geometry, non-commutative geometry, and the development of absolute geometry over the 'absolute point.' She has contributed to foundational work on the BC-system, the Arithmetic Site, and the Scaling Site, linking number theory with geometric frameworks. Education: PhD in Mathematics, University of Chicago (1996); Dottore di Ricerca in Matematica, Universities of Genoa & Turin (1993). Prior to Johns Hopkins, she taught at MIT (1996–1999) and the University of Toronto (1999–2005). Research Interests: Arithmetic geometry, non-commutative geometry, absolute geometry in characteristic one, connections to number theory and the Riemann Hypothesis. Collaborations include work with Alain Connes on adele class spaces and non-commutative algebraic geometry. Awards: Fellow of the American Mathematical Society (2024); 2025 Best Paper AOFA Award (Annals of Functional Analysis). Editorial roles include the Journal of Number Theory and Journal of Noncommutative Geometry. Teaching: Offers advanced courses in algebraic geometry and number theory, including topics like étale cohomology and the yoga of weights in 'Weil II.' Grants: Supported by the Simons Foundation. Organized major conferences such as the JAMI Conference on Riemann-Roch in Characteristic One (2019).

• Algebraic Geometry
• Arithmetic Geometry
• Number Theory
• +۵ مورد دیگر

Prof. Peter Scholze is a leading mathematician at the Max Planck Institute for Mathematics in Bonn, specializing in algebraic geometry and arithmetic geometry. He holds the academic rank of Professor and is part of the Arbeitsgruppe Algebraische Geometrie und Darstellungstheorie. His research focuses on foundational questions in algebraic geometry, number theory, and representation theory, particularly through the lens of the Langlands program, p-adic Hodge theory, and perfectoid spaces. Scholze has pioneered geometric approaches to the local Langlands correspondence and introduced revolutionary concepts like prismatic cohomology and condensed mathematics. He actively contributes to academia through advanced courses on topics such as geometrization of the Langlands program, étale cohomology, and condensed mathematics. His work bridges algebraic geometry with representation theory, addressing fundamental problems in arithmetic geometry and p-adic analysis. Scholze’s research outputs include seminal papers on perfectoid spaces, prismatic cohomology, and the geometrization of local Langlands correspondence. He collaborates extensively with leading mathematicians globally, contributing to collaborative research initiatives like the ARGOS seminar and the Habiro ring project. His teaching engagements include advanced lectures on algebraic geometry, representation theory, and p-adic geometry, reflecting his commitment to training the next generation of researchers. Despite no explicitly listed awards in the provided text, Scholze is widely recognized as a Fields Medalist (2018) and a leading figure in modern mathematics.

David Kutasovمشاهده پروفایل

استاد

• String Theory
• Quantum Field Theory
• Supersymmetry Breaking
• +۶ مورد دیگر

David Kutasov is a Professor in the Department of Physics at the University of Chicago, affiliated with the Enrico Fermi Institute. His research focuses on string theory and quantum field theory, particularly addressing dynamics of strongly coupled systems, supersymmetry breaking, black hole physics, and cosmological singularities. Kutasov has contributed to understanding the interplay between string theory and field theory, including mechanisms for vacuum selection in early universe scenarios and brane dynamics. His work explores theoretical frameworks such as holography, time-dependent backgrounds, and tachyon condensation, with applications to particle physics and cosmology. Key research directions include analyzing string theory's predictions for nature and applying string-based insights to experimental particle physics and cosmic phenomena. Notable contributions span topics like D-brane interactions, non-supersymmetric vacua, and dualities in Chern-Simons theories. Kutasov's publications often bridge abstract string theory constructs with observable phenomena, emphasizing tools for analyzing string theory's implications in diverse physical contexts. Despite extensive contributions, no specific scientific awards are explicitly listed in the provided materials. His research remains active across multiple frontiers of theoretical physics, maintaining a strong focus on foundational questions in high-energy physics.

Vesna Stojanoskaمشاهده پروفایل

دانشیار

• Stable Homotopy Theory
• Chromatic Phenomena
• Arithmetic
• +۳ مورد دیگر

Vesna Stojanoska is an Associate Professor in the Department of Mathematics at the University of Illinois, holding the Norman P. Jones Professorial Scholar title and serving as a Hamstrom Scholar. Her research focuses on stable homotopy theory, chromatic phenomena, and interactions with arithmetic. She earned her PhD in Mathematics from Northwestern University in 2011 and has been recognized with a Fellowship from the Center for Advanced Study (2018-2019). Key research areas include advanced topics in algebraic topology, such as Picard groups, Brauer groups, and topological modular forms. Her work frequently explores connections between homotopy theory and arithmetic structures. Recent contributions include studies on Morava stabilizer groups, determinant spheres, and collaborative efforts through initiatives like the Women in Topology IV workshop. Dr. Stojanoska has advised three graduate students, including Zachary Halladay (expected 2025), Venkata Sai Bavisetty (2024), and Elizabeth Tatum (2022). Her office is located at #307, 805 W Pennsylvania Ave, Urbana, Illinois.

Irina Bobkovaمشاهده پروفایل

دانشیار

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

Irina Bobkova is an Associate Professor in the Department of Mathematics at Texas A&M University, affiliated with the College of Arts & Sciences. Her research focuses on algebraic topology, particularly computational aspects of equivariant and chromatic homotopy theory. She has received significant support from the National Science Foundation (NSF) via a CAREER Grant and an RTG Grant. Her research interests include equivariant homotopy theory, chromatic homotopy theory, and the study of stable homotopy groups of spheres. She explores computational methods involving Morava stabilizer groups, Picard groups, and topological modular forms. Her work often involves collaborations with leading mathematicians in the field, such as Agnès Beaudry and Vesna Stojanoska. Bobkova has published extensively in top journals like Mathematische Zeitschrift , Journal of Topology , and Algebraic & Geometric Topology . Her recent work includes groundbreaking contributions to K(2)-local homotopy theory, duality resolutions, and the cohomology of Morava stabilizer groups. She co-organizes the South Central Topology Conference, fostering regional collaboration in topology. Her grants and awards reflect her leadership in advancing algebraic topology. She actively engages in academic service, including organizing workshops and mentoring early-career researchers. Despite no listed formal advisees, her collaborative approach shapes the field’s future directions.

Brian Conradمشاهده پروفایل

استاد

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

Brian Conrad is a Professor of Mathematics at Stanford University, specializing in number theory and arithmetic geometry. He holds a position in the Department of Mathematics and has contributed extensively to algebraic geometry, algebraic number theory, and representation theory. His research encompasses foundational work on reductive groups, pseudo-reductive groups, and their applications in arithmetic contexts. Dr. Conrad is an editor for the Journal of the AMS, Algebra and Number Theory, and IMRN. He has organized numerous learning seminars, including those on étale cohomology and the BSD conjecture, and has taught advanced courses on algebraic geometry, class field theory, and modular forms. His work bridges classical algebraic geometry with modern arithmetic applications, emphasizing foundational proofs and geometric intuition. His editorial roles and seminar leadership reflect his commitment to advancing mathematical exposition and education. Education details are not explicitly provided in the texts, but his academic trajectory includes significant contributions to the field through publications and mentorship. Dr. Conrad's research has led to advancements in areas such as the classification of algebraic groups, étale cohomology, and the arithmetic of elliptic curves. His collaborative work with mathematicians like Chai, Oort, and Prasad has produced influential monographs, including Pseudo-reductive Groups and Complex Multiplication and Lifting Problems .

• Arithmetic Algebraic Geometry
• Motivic Homotopy Theory

Prof. Dr. Niko Naumann is a faculty member at the University of Regensburg, affiliated with the Department of Mathematics (NWF I - Mathematics). His research focuses on the intersection of Arithmetic Algebraic Geometry and Motivic Homotopy Theory. His work explores stable homotopy theory, equivariant algebraic K-theory, and the application of topological modular forms to arithmetic problems. Notable collaborations include researchers such as Tobias Barthel, Akhil Mathew, and Justin Noel. The 15 most recent publications span topics in homotopy theory, algebraic geometry, and number theory, with a particular emphasis on nilpotence theorems, motivic spectra, and arithmetic invariants. Key journals include Inventiones Mathematicae, Advances in Mathematics, and Geom. Topol. Niko Naumann’s departmental role includes leadership in international academic exchange programs like ERASMUS. Current advisees or students are not explicitly listed in the provided text.

Guido Kingsمشاهده پروفایل

استاد

• Special Values of L-functions
• Tamagawa Number Conjecture
• Polylogarithms
• +۳ مورد دیگر

Prof. Dr. Guido Kings is a Professor of Pure Mathematics at the Faculty of Mathematics, University of Regensburg. His research focuses on Special Values of L-functions , Tamagawa Number Conjecture , and Polylogarithms , with significant contributions to Iwasawa Theory and Arithmetic Geometry . He has held leadership roles in research projects such as the CRC Higher Invariants. Prof. Kings has authored influential papers on topics like Eisenstein-Kronecker classes , p-adic interpolation , and regulators in arithmetic geometry . He received the Frontier of Science Award in recognition of his work. His team includes doctoral students and postdoctoral researchers, such as Bernadette Melichar and Julio de Mello Bezerra. Current Affiliations: Faculty of Mathematics, University of Regensburg Recent Courses Taught: Analysis II, Advanced Seminar in Arithmetic Geometry, and Modular Forms Research Group: Comprises scientific staff (e.g., Han-Ung Kufner) and doctoral students working on number theory and algebraic geometry. His publications are widely cited in Annals of Mathematics , Duke Mathematical Journal , and Inventiones Mathematicae , reflecting his expertise in connecting motivic cohomology with p-adic analysis.

Frede Blaabjergمشاهده پروفایل

استاد

• Power Electronics
• Wind Turbines
• Photovoltaic (PV) Systems
• +۶ مورد دیگر

Frede Blaabjerg is a Professor at Aalborg University (AAU Energy) , affiliated with the Faculty of Engineering and Science . Since 1998, he has pioneered power electronics research in applications such as wind turbines , photovoltaic (PV) systems , reliability engineering , and Power-2-X technologies. Education : PhD in Electrical Engineering (1995, Aalborg University) Honorary Degrees : Honoris Causa at University Politehnica Timisoara (2017) and Tallinn Technical University (2018) His research focuses on power electronics control , system optimization , and reliability for renewable energy and electric mobility . Recent work includes grid-forming converters , virtual synchronous generators , and smart EV charging systems. Key publication trends span 15+ years , with over 3,733 peer-reviewed articles and 900+ journal papers in power electronics , renewables , and energy storage . Notable book series: Control of Power Electronic Converters and Systems (4 volumes, Elsevier). Scientific Awards : 46 IEEE Prize Paper Awards 2020 IEEE Edison Medal 2019 Global Energy Prize 2014 IEEE William E. Newell Power Electronics Award Leadership Roles : Editor-in-Chief, IEEE Transactions on Power Electronics (2006–2012) Chairman, Danish Council for Research and Innovation Policy (2020–) President, IEEE Power Electronics Society (2019–2020)

• Algebraic Geometry
• Symplectic Geometry
• Mathematical Physics
• +۱ مورد دیگر

Kazushi Ueda is an Associate Professor at the Graduate School of Mathematical Sciences, The University of Tokyo, where he has been since April 2015. His research spans algebraic geometry, symplectic geometry, and mathematical physics, with a focus on homological mirror symmetry and its applications to moduli spaces, Calabi-Yau manifolds, and singularities. He previously held academic positions at Osaka University from 2006 to 2015, including roles as Assistant Professor and Associate Professor. Ueda has also had visiting appointments at institutions such as the University of Oxford, Max Planck Institute for Mathematics, and Korea Institute for Advanced Study. Bachelor of Science, Kyoto University (1997-2001) Master of Science, Kyoto University (2001-2003) Doctor of Science, Kyoto University (2003-2006) Ueda's research explores the deep interplay between complex and symplectic geometry through mirror symmetry, particularly in the context of Calabi-Yau varieties, toric degenerations, and dimer models. His work addresses derived categories, stability conditions, and moduli problems, with recent contributions to noncommutative algebraic geometry and applications in mathematical physics. He has collaborated extensively with researchers like Akira Ishii, Masahiro Futaki, and Shinnosuke Okawa. His publications highlight homological mirror symmetry for K3 surfaces, Grassmannians, and singularities, as well as studies on modular forms, cluster transformations, and the Grothendieck ring. Ueda is a member of the Mathematical Society of Japan and has contributed to educational programs, including graduate lectures on mirror symmetry and symplectic geometry.

• Electrical Engineering
• Power Systems
• Renewable Energy
• +۵ مورد دیگر

Professor Grahame Holmes is an Honorary Professor in the School of Engineering at RMIT University, Australia. His expertise spans electrical energy conversion, smart energy systems, renewable energy integration, power electronics, and grid infrastructure. He focuses on advancing technologies for sustainable energy storage, grid stability, and high-efficiency power conversion. Research Interests : Electrical and Electronic Engineering, Communications Technologies, Power Electronics, Renewable Energy Systems, and Grid Integration Solutions. His work emphasizes practical applications such as hydrogen energy storage systems, grid-interactive inverters, and modular multilevel converters. Recent Contributions : Prof. Holmes has published extensively on topics like advanced PWM techniques, resonant current controllers, and DC transformer designs. His research bridges theoretical advancements with real-world implementations, addressing challenges in smart grid stability and high-frequency power conversion. Advising & Grants : Supervised projects include 'Hydrogen Energy Storage System for Nanogrid' (2015) and 'Synchronised Control of Grid-Interactive Inverters' (2015). While specific grant details are not listed, his work aligns with major themes in sustainable energy research. Labs & Collaborations : Engages in collaborative research through RMIT's facilities, focusing on hardware-software co-simulation frameworks and FPGA-based real-time systems.

Sean Howeمشاهده پروفایل

استادیار

• arithmetic geometry
• algebraic geometry
• representation theory
• +۲ مورد دیگر

Sean Howe is an Assistant Professor in the Department of Mathematics at the University of Utah, where he has been employed since July 2019. His research is supported by NSF grants DMS-2201112 and DMS-2501816. In the academic year 2023-2024, he was a Friends of the Institute for Advanced Study Member at the special year on p-adic arithmetic geometry at the Institute for Advanced Study. Dr. Howe received his PhD from the University of Chicago in 2017 under the supervision of Matt Emerton. Prior to his position at Utah, he was an NSF Postdoctoral Scholar at Stanford University from September 2017 to June 2019. He earned a joint master's degree from Leiden University and Universite Paris-Sud 11 through the ALGANT program in 2012 and completed his undergraduate studies at the University of Arizona. Dr. Howe's research spans arithmetic and algebraic geometry, representation theory, and number theory, with a particular focus on p-adic aspects. His work often explores the connections between geometry and number theory through the lens of p-adic methods, including p-adic Hodge theory, perfectoid spaces, and the Langlands program. He has made significant contributions to understanding cohomological structures in mixed characteristic settings, the geometry of moduli spaces, and the statistical properties of L-functions. His extensive publication record demonstrates a strong trajectory in advancing p-adic geometry and its applications. Recent work shows increasing focus on cohomological smoothness in mixed characteristic, p-adic periods, and the interplay between random matrix theory and arithmetic statistics. His research often bridges abstract theoretical frameworks with concrete computational approaches. NSF Postdoctoral Scholar NSF grants DMS-2201112 and DMS-2501816 Dr. Howe is an active mentor, currently advising five PhD students: Minhua Cheng, Madison Delmoe, Shea Engle, Abhay Goel, and Suo Jun Tan. He has successfully graduated two PhD students: Matthew Bertucci (2025) and Hanlin Cai (2024). He also regularly mentors undergraduate researchers, with notable projects including Emil Geisler's work on stable multiplicities in configuration space cohomology and Daniel Koizumi's software for computing braid monodromy of cubic surfaces. His teaching portfolio includes advanced courses in algebraic topology, number theory, and algebra, reflecting his broad expertise across pure mathematics. He has taught courses such as Math 6950 (Topics in Algebraic Topology), Math 4400 (Introduction to Number Theory), and Math 6320 (Modern Algebra II).