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Partial Differential Equations, Asymptotic analysis and geometric analysis for solutions to parabolic equations
Research topics: Partial Differential Equations, Asymptotic analysis and geometric analysis for solutions to parabolic equations.
Student availability: Not confirmed
No public student record listed for this review window.
Algebraic Geometry, Resolution of singularities and the McKay correspondence
Research topics: Algebraic Geometry, Resolution of singularities and the McKay correspondence.
Student availability: Not confirmed
No public student record listed for this review window.
Ordinary differential equations, exact WKB analysis, integrable systems, topological recursion, Exact WKB analysis of differential equations and related topics
Research topics: Ordinary differential equations, exact WKB analysis, integrable systems, topological recursion, Exact WKB analysis of differential equations and related topics.
Student availability: Not confirmed
No public student record listed for this review window.
Algebra, Ring theory, Representation theory, Representation theory of orders
Research topics: Algebra, Ring theory, Representation theory, Representation theory of orders.
Student availability: Not confirmed
No public student record listed for this review window.
Algebra, Algebraic Geometry and Category Theory, operads, moduli spaces, secondary polytopes, algebro-geometric model spaces of paths and loops, Hall algebras, derived geometry
Research topics: Algebra, Algebraic Geometry and Category Theory, operads, moduli spaces, secondary polytopes, algebro-geometric model spaces of paths and loops, Hall algebras, derived geometry.
Student availability: Not confirmed
No public student record listed for this review window.
Numerical Analysis, Numerical and mathematical analysis of PDEs, Navier-Stokes equations, Non-standard boundary conditions, Finite element method
Research topics: Numerical Analysis, Numerical and mathematical analysis of PDEs, Navier-Stokes equations, Non-standard boundary conditions, Finite element method.
Student availability: Not confirmed
No public student record listed for this review window.
Topology, The stable (co)homology of the IA-automorphism groups of free groups, Actions of automorphism groups of free groups on spaces of Jacobi diagrams
Research topics: Topology, The stable (co)homology of the IA-automorphism groups of free groups, Actions of automorphism groups of free groups on spaces of Jacobi diagrams.
Student availability: Not confirmed
No public student record listed for this review window.
Mathematical Physics, Conformal field theory, string theory, integrable systems.
Research topics: Mathematical Physics, Conformal field theory, string theory, integrable systems..
Student availability: Not confirmed
No public student record listed for this review window.
Algebraic Geometry, Positive characteristic, Frobenius maps, Cartier operators, Singularities, Vanishing theorems
Research topics: Algebraic Geometry, Positive characteristic, Frobenius maps, Cartier operators, Singularities, Vanishing theorems.
Student availability: Not confirmed
No public student record listed for this review window.
Differential Topology, Complex Analysis, Moduli spaces of Riemann surfaces, mapping class groups, characteristic classes.
Research topics: Differential Topology, Complex Analysis, Moduli spaces of Riemann surfaces, mapping class groups, characteristic classes..
Student availability: Not confirmed
No public student record listed for this review window.
algebraic geometry, motivic homotopy theory, algebraic K-theory and applications to representation theory, class field theory, and birational geometry.
Research topics: algebraic geometry, motivic homotopy theory, algebraic K-theory and applications to representation theory, class field theory, and birational geometry..
Student availability: Not confirmed
No public student record listed for this review window.
Number Theory, Elliptic curves, Iwasawa theory, Birch and Swinnerton-Dyer conjecture.
Research topics: Number Theory, Elliptic curves, Iwasawa theory, Birch and Swinnerton-Dyer conjecture..
Student availability: Not confirmed
No public student record listed for this review window.
Discrete Groups, Ergodic Theory, Orbit equivalence relations, measured groupoids, amenability, and rigidity
Research topics: Discrete Groups, Ergodic Theory, Orbit equivalence relations, measured groupoids, amenability, and rigidity.
Student availability: Not confirmed
No public student record listed for this review window.
topology, Group action, gauge theory, Atiyah-Singer index theorem.
Research topics: topology, Group action, gauge theory, Atiyah-Singer index theorem..
Student availability: Not confirmed
No public student record listed for this review window.
Research summary Categorized list of publications For students who wish to join our lab (pdf)
Research topics: Research summary Categorized list of publications For students who wish to join our lab (pdf).
Student availability: Not confirmed
No public student record listed for this review window.
Theoretical Statistics and Probability Theory, Statistics for stochastic processes, and its applications to high-frequency financial data
Research topics: Theoretical Statistics and Probability Theory, Statistics for stochastic processes, and its applications to high-frequency financial data.
Student availability: Not confirmed
No public student record listed for this review window.
Geometry and Topology, Gauge theory and its applications to geometry and topology
Research topics: Geometry and Topology, Gauge theory and its applications to geometry and topology.
Student availability: Not confirmed
No public student record listed for this review window.
Theoretical Statistics and Probability Theory, Statistical modeling based on non-Gaussian stochastic processes and their implementation
Research topics: Theoretical Statistics and Probability Theory, Statistical modeling based on non-Gaussian stochastic processes and their implementation.
Student availability: Not confirmed
No public student record listed for this review window.
Mathematical physics, Quantum solvable models, Solvable stochastic processes
Research topics: Mathematical physics, Quantum solvable models, Solvable stochastic processes.
Student availability: Not confirmed
No public student record listed for this review window.
Operator Algebras, K-theory of C*-algebras, minimal dynamical systems
Research topics: Operator Algebras, K-theory of C*-algebras, minimal dynamical systems.
Student availability: Not confirmed
No public student record listed for this review window.
Groups, Lie Algebras and Integrable Systems, Infinite-dimensional Lie algebras, vertex operators, monstrou moonshine, conformal field theories, quantum groups
Research topics: Groups, Lie Algebras and Integrable Systems, Infinite-dimensional Lie algebras, vertex operators, monstrou moonshine, conformal field theories, quantum groups.
Student availability: Not confirmed
No public student record listed for this review window.
Number theory, Langlands correspondence, Shimura varieties, Rapoport-Zink spaces
Research topics: Number theory, Langlands correspondence, Shimura varieties, Rapoport-Zink spaces.
Student availability: Not confirmed
No public student record listed for this review window.
Representation Theory, Algebraic Geometry, quantum cohomology, Gromov-Witten invariants, mirror symmetry, period integrals, Kac-Moody Lie algebras, vertex algebras, integrable systems
Research topics: Representation Theory, Algebraic Geometry, quantum cohomology, Gromov-Witten invariants, mirror symmetry, period integrals, Kac-Moody Lie algebras, vertex algebras, integrable systems.
Student availability: Not confirmed
No public student record listed for this review window.
Nonlinear Partial Differential Equations, Structure of nonlinear PDEs of elliptic and parabolic type
Research topics: Nonlinear Partial Differential Equations, Structure of nonlinear PDEs of elliptic and parabolic type.
Student availability: Not confirmed
No public student record listed for this review window.
Representation Theory, Algebraic Geometry, Differential Geometry, Gauge theory, geometric representation theory, moduli spaces
Research topics: Representation Theory, Algebraic Geometry, Differential Geometry, Gauge theory, geometric representation theory, moduli spaces.
Student availability: Not confirmed
No public student record listed for this review window.