Donaldson-Thomas Invariants: Classical, Motivic, Quadratic and Real
Explore advanced Donaldson-Thomas invariants in algebraic geometry, including classical, motivic, quadratic, and real variants. Delve into virtual fundamental classes and refined invariants.
From Quadratic Forms to Motivic Cohomologies
Explore the journey from quadratic forms to motivic cohomologies, delving into advanced mathematical concepts and their applications in algebraic geometry.
Quadratic Forms in Surface Automorphisms and Singularity Theory
Explore pseudo-periodic surface automorphisms, quadratic forms, and their applications in singularity theory. Gain insights into Milnor fibers and monodromy automorphisms.
New Effective Results Regarding the Oppenheim Conjecture and Polynomial Effective Equidistribution
Delve into advanced mathematical concepts surrounding the Oppenheim Conjecture, exploring quantitative results, unipotent flows, and their applications in number theory.
Quadratic Enumerative Invariants and Local Contributions in Algebraic Geometry
Delve into quadratic enumerative geometry, exploring enriched counting methods for geometric objects using quadratic forms, with applications to lines on cubic surfaces and hypersurfaces.
Counting Lattice Points in Ellipsoids and the Central Limit Theorem for Quadratic Forms
Delve into advanced mathematical concepts exploring lattice point counting in ellipsoids, error bounds, and their connection to probability theory's central limit theorem.