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Below are the problems that I formulated at Open Problems Session of {\it Workshop on Group Actions on Rational Varieties}, McGill University and University of Montreal, Canada, March 2002. To appear in: "Affine Algebraic Geometry"…

Algebraic Geometry · Mathematics 2007-05-23 Vladimir L. Popov

This report records a large number of open problems in Affine Algebraic Geometry that were proposed by participants in a Conference on Open Algebraic Varieties at the Centre de Recherches en Mathematiques in Montreal at December 1994.

A compendium of thirty previously published open problems in computational geometry is presented.

Computational Geometry · Computer Science 2007-05-23 Joseph S. B. Mitchell , Joseph O'Rourke

We give a selection of major open problems involving selective properties, diagonalizations, and covering properties for sets of real numbers. This is a revision of the version published as a chapter in the book \textbf{Open Problems in…

General Topology · Mathematics 2011-10-19 Boaz Tsaban

This document collects contributions to the Open Problem List in Billiards and Quantitative Symplectic Geometry, compiled following discussions during the workshop ``Billiards and quantitative symplectic geometry'' that took place at the…

This is the list of open problems in topological algebra posed on the conference dedicated to the 20th anniversary of the Chair of Algebra and Topology of Lviv National University, that was held on 28 September 2001.

General Topology · Mathematics 2012-02-09 Taras Banakh , Mitrofan Choban , Igor Guran , Igor Protasov

Open problems from the 15th Annual ACM Symposium on Computational Geometry.

Computational Geometry · Computer Science 2007-05-23 Erik D. Demaine , Joseph O'Rourke

Problems presented at the open-problem session of the 14th Annual ACM Symposium on Computational Geometry are listed.

Computational Geometry · Computer Science 2009-09-25 Pankaj K. Agarwal , Joseph O'Rourke

This is a structured compilation of some of my favourite open problems.

Algebraic Geometry · Mathematics 2022-12-13 Jean-Louis Colliot-Thélène

This is a collection of open problems from workshop "Differential Geometry, Billiards, and Geometric Optics" at CIRM on October 4-8, 2021.

Dynamical Systems · Mathematics 2021-10-29 M. Bialy , C. Fierobe , A. Glutsyuk , M. Levi , A. Plakhov , S. Tabachnikov

We describe a list of open problems in random matrix theory and the theory of integrable systems that was presented at the conference Asymptotics in Integrable Systems, Random Matrices and Random Processes and Universality, Centre de…

Mathematical Physics · Physics 2017-03-16 Percy Deift

Algebraic statistics is concerned with the study of probabilistic models and techniques for statistical inference using methods from algebra and geometry. This article presents a list of open mathematical problems in this emerging field,…

Statistics Theory · Mathematics 2007-11-10 Bernd Sturmfels

Throughout this book, we discuss some open problems in various branches of science, including mathematics, theoretical physics, astro-physics, geophysics etc. It is of our hope that some of the problems discussed in this book will find…

General Mathematics · Mathematics 2007-05-23 Florentin Smarandache , V. Christianto , Fu Yuhua , R. Khrapko , J. Hutchison

This note completes a talk given at the conference Curves over Finite Fields: past, present and future celebrating the publication the book {\em Rational Points on Curves over Finite Fields by J.-P. Serre and organised at Centro de ciencias…

Algebraic Geometry · Mathematics 2022-04-05 Alain Couvreur

In this paper, an open problem in the multidimensional complex analysis is pesented that arises in the investigation of the regularity properties of Fourier integral operators and in the regularity theory for hyperbolic partial differential…

Analysis of PDEs · Mathematics 2013-03-21 Michael Ruzhansky

These open problems were presented in the Problem Sessions held during the Tianyuan Workshop on Computability Theory and Descriptive Set Theory, June 16-20, 2025. The problems are organized into sections named after their contributors, in…

There were some errors in paper hep-th/9303018 in formulas 6.1, 6.6, 6.8, 6.11. These errors have been corrected in the present version of this paper. There are also some minor changes in the introduction.

High Energy Physics - Theory · Physics 2009-10-22 Pavel Etingof

Recent developments of affine algebraic geometry, especially the theory of open algebraic surfaces, provide means to systematically explore geometric and topological properties of polynomials in two variables. Nevertheless, there is one…

Algebraic Geometry · Mathematics 2015-04-28 Masayoshi Miyanishi

We review the open problems in the theory of deformations of zero-dimensional objects, such as algebras, modules or tensors. We list both the well-known ones and some new ones that emerge from applications. In view of many advances in…

Algebraic Geometry · Mathematics 2023-07-19 Joachim Jelisiejew

We sketch an assortment of problems that were posed -- and not yet solved -- during problem sessions at the conference ``Approximation Theory and Numerical Analysis meet Algebra, Geometry, and Topology'', which was held at the Palazzone…

Algebraic Geometry · Mathematics 2023-08-08 Frank Sottile
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