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.

• Applied Topology
• Dynamical Systems
• Algebraic Topology
• +۵ مورد دیگر

Robert Ghrist is the Andrea Mitchell University Professor at the University of Pennsylvania with dual appointments in the Department of Mathematics and the Department of Electrical and Systems Engineering. He serves as Associate Dean for Undergraduate Education for Penn Engineering. His educational background includes a B.S. in Mechanical Engineering from the University of Toledo (1991), and M.S. and Ph.D. degrees in Applied Mathematics from Cornell University (1994, 1995). Ghrist's research bridges pure and applied mathematics, focusing on applied algebraic topology , dynamical systems , and geometric methods in data science. His work extends to network theory, topological data analysis, and computational geometry, with applications spanning robotics, neuroscience, and social dynamics. Key innovations include developing sheaf-theoretic approaches for networked systems and persistence homology techniques for high-dimensional data. Analysis of his recent publications reveals a strong emphasis on lattice-theoretic frameworks , topological robotics , and network dynamics , with emerging applications in neural data interpretation and geometric computing. His research consistently integrates category theory with real-world engineering challenges. Significant scientific recognition includes: Presidential Early Career Award (PECASE, 2004) Scientific American 'Top 50' Research Leader (2007) Mathematical Association of America's Chauvenet Prize (2013) University of Pennsylvania Lindback Award for Distinguished Teaching (2015) DoD National Security Science and Engineering Faculty Fellowship (NSSEFF, 2015) Ghrist leads multiple federally funded research initiatives supported by AFOSR, DARPA, NSF, and ONR. He directs the development of educational tools including the Calculus BLUE/GREEN Project video series and custom GPTs for mathematical pedagogy. His open online courses have reached over 100,000 learners globally.

• Algebraic Geometry
• Syzygies of Algebraic Varieties
• Secant Varieties
• +۶ مورد دیگر

Jinhyung Park is an Associate Professor in the Department of Mathematical Sciences at KAIST, Daejeon, Korea. He obtained his Ph.D. from KAIST in 2014 under Prof. Sijong Kwak and was mentored as a CMC Fellow at KIAS (2014–2019). His research focuses on Algebraic Geometry , particularly syzygies of algebraic varieties , secant varieties , and positivity of line bundles . Education: Ph.D., KAIST (2014); MS/BS, KAIST and University of Chicago (2002/2001). Research Interests: His work explores geometric properties of projective manifolds, singularities in algebraic geometry, and applications of Okounkov bodies to divisors and syzygies. Recent trends include Castelnuovo-Mumford regularity bounds (e.g., for threefolds with rational singularities) and subadditivity of Okounkov bodies in fiber spaces. Teaching: Courses include Matrix Groups, Algebraic Geometry, and Calculus. He previously taught at Sogang University and Purdue University. Professional Affiliations: Member of the Korean Mathematical Society, American Mathematical Society, and other international societies. Organized the 8th East Asia Number Theory Conference at KAIST (2019).

• General Relativity
• Theoretical Physics
• Black Hole Mechanics
• +۶ مورد دیگر

Harvey Reall is a Professor of Theoretical Physics at the University of Cambridge , affiliated with the Department of Applied Mathematics and Theoretical Physics (DAMTP) and a Fellow of Trinity College . His research focuses on General Relativity and Effective Field Theory , particularly in the context of black hole mechanics , higher-dimensional gravity , and cosmic censorship . He has held prestigious positions including a Royal Society University Research Fellowship from 2005 to 2013. Education: PhD from DAMTP, University of Cambridge. Previous Appointments: Lecturer at the University of Nottingham (2005-2007); Postdoctoral positions at the Kavli Institute (2003-2005), Queen Mary University of London (2000-2003), and University of California, Santa Barbara (2003-2005). Reall's work explores the uniqueness and stability of black holes , causality in gravitational theories , and effective field theory approaches to gravity . His recent publications address nonperturbative second law formulations , event horizon dynamics , and axisymmetry theorems in extended theories of gravity. He has supervised numerous researchers including Aidan McSharry (2025-) , Maxime Gadioux (2022-) , and Iain Davies (2020-24) , contributing to the training of the next generation of physicists. Scientific Awards: Royal Society University Research Fellow (2005-2013)

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.

Brent Pymمشاهده پروفایل

دانشیار

• Mathematical Physics
• Algebraic Geometry
• Noncommutative Geometry
• +۳ مورد دیگر

Brent Pym is an Associate Professor in the Department of Mathematics and Statistics at McGill University. His research focuses on the intersection of differential, algebraic, and noncommutative geometry, with a particular emphasis on Poisson varieties and deformation quantization. He has held academic positions at the University of Edinburgh, University of Oxford, and was a Postdoctoral Fellow at McGill and the University of Toronto. Education: BScE in Engineering Physics, Queen's University (2007) MSc in Mathematics, University of Toronto (2008) PhD in Mathematics, University of Toronto (2013) Research Interests: Pym studies Poisson structures, their quantizations, and connections to mathematical physics. His work involves classical/derived algebraic geometry, D-modules, moduli spaces, the Stokes phenomenon, and multiple zeta values. Recent projects include holonomic Poisson manifolds, log symplectic structures, and software for symbolic calculations in deformation quantization. Awards: Lichnerowicz Prize (2018) Advising & Grants: Pym has openings for graduate students (admission 2026) and undergraduate projects (2026–27). He develops the Star Products software package for symbolic calculations in Poisson brackets and quantization. His work is supported by research collaborations and institutional grants. Labs & Teams: Pym collaborates with researchers in geometry and mathematical physics, contributing to projects in noncommutative algebra and geometric quantization. His software tools enhance symbolic computation in these fields.

Jelena Grbicمشاهده پروفایل

استاد

• Topology
• Algebra
• Combinatorics
• +۶ مورد دیگر

Professor Jelena Grbic is a distinguished mathematician serving as Professor of Mathematics within the School of Mathematical Sciences at the University of Southampton since 2012. Her academic journey began with a B.Sc. in Mathematics from the University of Belgrade, Serbia in 1997, followed by a Ph.D. in Algebraic Topology from the University of Aberdeen in 2004. Prior to her current position, she held academic appointments at the University of Manchester (2007-2012) as Lecturer and Senior Lecturer, and at the University of Aberdeen (2004-2006) as Lecturer. Professor Grbic's research spans multiple interconnected domains of pure mathematics, with a primary focus on modern homotopy theory, particularly unstable homotopy theory, and its applications across topology, algebra, and geometry. Her work centers on decompositions and exponent problems in homotopy theory, homotopy aspects of Toric Topology, Hopf algebras, and geometric problems related to cobordisms and string topology. This research bridges abstract mathematical theory with potential applications in data science and computational topology. Analysis of her recent publications (2020-2025) reveals a consistent research trajectory in algebraic topology with increasing interdisciplinary connections. Her work demonstrates sophisticated mathematical techniques applied to complex topological structures, particularly moment-angle complexes and polyhedral products. Notably, her 2022 paper 'Aspects of topological approaches for data science' indicates growing interest in applying topological methods to contemporary data analysis problems, suggesting an expanding research horizon beyond pure mathematics. Professor Grbic actively supervises PhD students, including current student Salvatore Elia in Mathematical Sciences, and teaches modules covering algebraic topology and homotopy theory. She serves as a reviewer for prestigious journals including Homology, Homotopy and Application (2019), Transactions of the London Mathematical Society (2021), and The LMS Newsletter (2017), contributing to the scholarly community through peer review and academic service.

Mona Merlingمشاهده پروفایل

دانشیار

• Algebraic K-Theory
• Equivariant Stable Homotopy Theory
• Manifold Theory
• +۳ مورد دیگر

Mona Merling is an Associate Professor in the Department of Mathematics at the University of Pennsylvania, affiliated with the School of Arts and Sciences. She holds a Ph.D. from the University of Chicago (2014) under Peter May. Prior to Penn, she was a J.J. Sylvester Assistant Professor at Johns Hopkins University. Her research focuses on algebraic K-theory, its applications to number theory and manifold theory, and equivariant stable homotopy theory. She has held research positions at institutions like the Mathematical Sciences Research Institute (MSRI) and the Max Planck Institute for Mathematics. Merling teaches advanced courses in algebraic topology, homotopy theory, and calculus, including innovative programs like the Penn Directed Reading Program and collaborations with the Prison Teaching Initiative to provide education in incarcerated settings. She organizes conferences and workshops, such as the Algebraic Topology Bridge Summer Workshop, fostering accessibility in topology education. Her research explores cutting-edge topics like scissors congruence K-theory, equivariant infinite loop space theory, and parametrized cobordism categories. Recent work includes collaborations on derived scissors congruence and multiplicative equivariant K-theory, with applications to geometric and algebraic structures. Her grants include funding for social justice initiatives in education.

Rohil Prasadمشاهده پروفایل

پژوهشگر ارشد

• Geometry
• Topology
• Dynamical Systems
• +۶ مورد دیگر

Rohil Prasad is a Miller Research Fellow at the University of California, Berkeley, appointed in 2023, and will join Princeton University as an Assistant Professor in 2025. His research lies at the intersection of geometry, topology, and dynamical systems, with a particular focus on conservative dynamics, pseudoholomorphic curves, and Floer theory. Education: PhD in Mathematics, Princeton University (2018–2023), advised by Helmut Hofer Research Interests: Prasad’s work spans several deep areas of modern mathematics, including: Conservative Dynamics: Studying systems that preserve volume or symplectic structures. Symplectic Geometry: Exploring geometric structures preserved under Hamiltonian flows. Low-Dimensional Topology: Investigating the topology of 3- and 4-dimensional manifolds. Floer Theory: Using pseudoholomorphic curves to study periodic orbits and invariants. His research has led to significant advances in understanding periodic orbits, invariant measures, and the structure of area-preserving maps. Awards and Honors: 2024 Brin Dynamical Systems Prize for Young Mathematicians Contact: rrprasad@berkeley.edu | Office: 968 Evans Hall

Kevin Coulembierمشاهده پروفایل

استاد

• Representation Theory
• Noncommutative Algebra
• Monoidal Categories
• +۳ مورد دیگر

Kevin Coulembier is a Professor in the Algebra Research Group at the University of Sydney . He has held a continuing position since 2017 and received prestigious awards including the Christopher Heyde Medal (2021), G. de B. Robinson Award (2022), and the Frontiers of Science Award (2024). Research Focus: Representation theory of algebraic groups, Lie (super)algebras, quantum groups, and monoidal categories; tensor ideals; and homological algebra. Grants: ARC Future Fellowship (2023), ARC Discovery Projects (2021, 2018), and DECRA Fellowship (2017). Students: Supervised postdocs and PhD students including Nick Bridger, Joseph Newton, Bregje Pauwels, Alexander Sherman, and Willow Stewart. Editorial Roles: Editor for Annals of Representation Theory and Mathematische Zeitschrift .

• Poisson Geometry
• Contact Geometry
• Jacobi Geometry
• +۴ مورد دیگر

Alfonso Giuseppe Tortorella is a Tenure Track Assistant Professor in the Department of Mathematics at the University of Salerno since October 31, 2022. Previously, he held research positions at CMUC (Center of Mathematics of the University of Coimbra), CMUP (Center of Mathematics of the University of Porto), and KU Leuven. He received his PhD in Mathematics from the University of Florence in 2017 under the supervision of Luca Vitagliano and Paolo de Bartolomeis. His educational background includes an MSc in Mathematics from the University of Salerno (2013) with honors, where he completed his thesis titled "Geometric methods of Hamiltonian mechanics" under Luca Vitagliano's guidance. Tortorella's research focuses on Poisson geometry in the broadest sense, with particular emphasis on deformation theory of coisotropic submanifolds in Jacobi manifolds, multiplicative structures on Lie groupoids, and VB-groupoids. His work explores the intersection of differential geometry, mathematical physics, and algebraic structures, developing sophisticated theoretical frameworks to understand geometric structures and their deformations. He has made significant contributions to understanding symplectic foliations, contact dual pairs, and the algebraic structures underlying Jacobi geometry. His most recent publications (2023-2025) demonstrate a consistent focus on deformation problems in Poisson and related geometries, with particular attention to coisotropic submanifolds in contact geometry, symplectic foliations, and the application of L∞ algebras to geometric deformation problems. His work shows increasing sophistication in handling higher structures and their applications to geometric problems. Abilitazione Scientifica Nazionale for Professore Associato in Geometria e Algebra (01/A2 - II Fascia) (May 24, 2021 - May 24, 2030) Qualification aux fonctions de Maître de conférences, section 25 - Mathématiques (December 31, 2018 - December 31, 2022) PhD internship at IM PAN awarded by WCMCS (December 2014) PhD scholarship from INdAM (October 2013) Scholarship from SMI (June 2013) Tortorella has advised multiple PhD, MSc, and BSc students, including Vanessa Oliveira (PhD, University of Porto), Antonio Maglio (PhD, University of Salerno), and Rodrigo de Oliveira Baptista (MSc, University of Porto). He has served on examination committees and as a reviewer for numerous prestigious mathematics journals. His collaborative work extends across international boundaries, with research stays at institutions in Italy, Portugal, Belgium, Poland, France, Germany, and Brazil. He is an active organizer of conferences and workshops, particularly in the field of Poisson geometry, serving on the organizing committees for events like Poisson 2024 and the INdAM Intensive Period on Poisson Geometry & Mathematical Physics.

Silviu Pufuمشاهده پروفایل

استاد

• Quantum Field Theory
• String Theory
• Gravity
• +۳ مورد دیگر

Silviu Pufu is a Professor of Physics at Princeton University, where he earned both his A.B. (2007) and Ph.D. (2011) in Physics. Prior to his faculty position, he was a Pappalardo Postdoctoral Fellow at MIT (2011–2013). His research focuses on quantum field theory, string theory, and gravity, with emphasis on conformal field theory, gauge/gravity duality, and lattice gauge theory. He has received the Alfred P. Sloan Research Fellowship (2017) and led the Simons Collaboration for Nonperturbative Bootstrap (2016–2023). His work explores advanced topics such as AdS/CFT correspondence, M-theory corrections, and non-perturbative bootstrap methods. Pufu advises three graduate students: Ross Dempsey, Debaditya Pramanik, and Benjamin Søgaard. His research outputs span theoretical frameworks like super-Yang-Mills theories, M-theory orbifolds, and lattice Hamiltonian formulations of QCD. His 2020–2025 publications highlight contributions to bootstrap techniques, holographic calculations, and precision studies of strongly coupled systems.

David Perkinsonمشاهده پروفایل

استاد

• Combinatorics
• Graph Theory
• Algebraic Geometry
• +۵ مورد دیگر

David Perkinson is a Professor of Mathematics at Reed College, where he holds a position in the Department of Mathematics. His research focuses on combinatorics, algebraic geometry, and discrete mathematics, with a particular emphasis on sandpile models, graph theory, and matroid theory. He is the author of the textbook *Divisors and Sandpiles: An Introduction to Chip-Firing*, which explores the combinatorial theory of chip-firing on graphs. Perkinson has also developed software tools like the Sandpile Java App, which visualizes and analyzes the Abelian Sandpile Model. He organizes the Cascade Lectures in Combinatorics (CALICO), a series of conferences funded by the National Science Foundation, aimed at fostering collaboration among researchers in combinatorics. His work bridges discrete mathematics with algebraic geometry, emphasizing connections between graph theory and geometric structures. Perkinson teaches advanced courses in analysis and contributes to the academic community through his research on topics such as divisor theory on graphs, sandpile groups, and combinatorial game theory. His recent publications (2015–2024) address matroid theory, sandpile dynamics, and applications of algebraic methods to discrete systems.

• Numerical Modeling
• Computational Simulation
• Materials Science
• +۵ مورد دیگر

Assoc Prof Ng Teng Yong is an Associate Professor at the School of Mechanical & Aerospace Engineering (NTU), specializing in numerical modeling and simulation. With a background as Research Manager at A*STAR Institute of High Performance Computing, his work spans materials science, nanotechnology, and aerospace engineering. Current focus on graphene-based desalination membranes Expertise in molecular dynamics simulations Investigates nanoscale fluid mechanics and structural dynamics Recent publications highlight advancements in energy-efficient electrodialysis, smart robotics, and nonlinear vibration analysis. His interdisciplinary approach integrates computational methods with experimental validation in additive manufacturing and soft material mechanics.

Ieke Moerdijkمشاهده پروفایل

استاد

• Algebraic Topology
• Differential Topology
• Mathematical Logic
• +۳ مورد دیگر

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