Numerical Approach to Polylogarithms on Higher-Genus Riemann Surfaces
Explore numerical evaluation of polylogarithms on genus-two Riemann surfaces using Schottky parametrization and averaging over genus-one differential forms, advancing particle physics research.
Conical Sums - Theory and Applications in Mathematics and Physics
Explore conical sums, their algebra, and connections to multiple zeta values and string theory. Delve into Terasoma's theorem and Dupont's conjecture on the motivic nature of these mathematical structures.
Frobenius Structure and p-adic Zeta Function
Explore p-adic Frobenius structures in differential equations, their connection to algebraic geometry, and their relation to p-adic zeta values in hypersurface families.
Homological Mirror Symmetry: Recent Developments and Future Directions
Explore recent advancements in Homological Mirror Symmetry, surveying new results and opening avenues for future development and collaboration in mathematics.
Topological Complexity of Monotone Symplectic Manifolds
Explore topological complexity in 4D spherically monotone manifolds, focusing on Kodaira dimension estimation and its implications for symplectic geometry.
Homological Mirror Symmetry - Recent Developments and Future Directions
Survey of recent developments in Homological Mirror Symmetry, exploring new results and future directions in this mathematical field. Honors Jeffrey Fuqua's contributions to the subject.
Homological Mirror Symmetry: Recent Developments and Future Directions
Explore recent advancements in Homological Mirror Symmetry, surveying new results and opening avenues for future development and collaboration in this transformative field of mathematics.
Fourier Analysis of Equivariant Quantum Cohomology - Lecture 3
Explore Fourier analysis of equivariant quantum cohomology, focusing on D-module versions, Teleman's conjecture, and applications to projective bundles and blowups.
Vector Valued Laurent Polynomial Equations in Torus
Explore vector-valued Laurent polynomial equations in torus with Askold Khovanskii, delving into advanced mathematical concepts and their applications.
Mixed Volumes of Chemical Reaction Networks
Explore mixed volumes in chemical reaction networks, focusing on mathematical applications in systems biology and biochemistry.
Algebraic Geometry in the Spectral Theory of Discrete Periodic Operators
Explore the intersection of algebraic geometry and spectral theory, focusing on discrete periodic operators and their applications in mathematical physics and analysis.
Sampling, Learning, and Coloring - An Update on Markov Bases and Their Uses
Explore advanced statistical techniques including Markov bases, sampling methods, and their applications in learning and graph coloring problems.
Mechanism Synthesis and Applied Enumerative Geometry
Explore applied enumerative geometry in mechanism synthesis, uncovering innovative approaches to design and optimize mechanical systems for various engineering applications.
Wanted: Solutions of Square Polynomial Systems
Explore methods for solving square polynomial systems, focusing on enumerative geometry techniques and their applications in mathematical research.
Beilinson's Conjecture for the Dwork Family
Explores Beilinson's conjecture for the Dwork family, focusing on constructing classes in higher Chow groups and computing their regulators in relation to motivic L-functions and automorphic forms.
Heights on Curves and Limits of Hodge Structures
Explore the connection between Néron-Tate heights on smooth curves and biextension heights of limit mixed Hodge structures, with implications for computing Beilinson-Bloch heights in higher dimensions.
Detecting Gauss-Manin and Calabi-Yau Differential Equations
Explore conjectures and criteria for identifying differential equations from Gauss-Manin connections and hypergeometric Calabi-Yau varieties, with a focus on Heun and Painlevé VI equations.
The Grothendieck Period Conjecture and Mixed Motives with Maximal Unipotent Radicals - Part 2
Explore advanced number theory concepts, focusing on the Grothendieck period conjecture and its relation to mixed motives with maximal unipotent radicals.
Large Compact Subvarieties of A_g
Explore compact subvarieties in A_g with Jacob Tsimerman, delving into advanced number theory concepts and their applications in algebraic geometry.
The Hermitian Trace Code - Advances in Error-Correcting Codes
Explores character sum bias over high genus curves, strengthening Stepanov-Bombieri approach. Analyzes multiplicity in function fields using new 'universal derivative-fix' lemma.
Depth Reductions of Multiple Polylogarithms - State of the Art Around Goncharov's Depth Conjecture
Explore depth reductions of multiple polylogarithms, focusing on Goncharov's Depth Conjecture and recent advancements in proving related identities and reductions.