![]() ![]() Relates Newton's Method to Galois Theory. The slides for an expository talk given on the Doyle-McMullen Theorem, which Newton's Method, Galois Theory, and Something You Probably Didn't Know About The Summer of 2001 in Cordoba, Argentina. The slides for an expository talk given on the definition of multiplicityĪt the XIV Coloquio Latinoamericano de Algebra in The Multiplicity of a Base Point? These are Given at the University of Buenos Aires in the Summer of 2001. Mirror Symmetry (the Batyrev mirror construction). Related to polytopes (the Dehn-Sommerville equations, the Ehrhart polynomial,Īnd the BKK bound), and an introduction to how toric varieties are used in Varieties (fans, homogeneous coordinates, and toric ideals), results Notes for three lectures covering various ways to define of toric The notesĪre based on lectures given in Grenoble at the Toric Summer School in the Weil and Cartier divisors, invertible sheaves and line bundles. Varieties and topics such as normality and smoothness. Modeling to be held in Vilnius, Lithuania in the Summer of 2003. Lecture given at the Workshop on Algebraic Geometry and Geometric Variety and discuss cones, fans, polytopes, and homogeneous coordinates. What is a Toric Variety? These notes introduce the idea of a toric The lectures were written for the CIMPA School on Commutative Algebra given They also touch on some of the commutative algebra involved in toric geometry. Toric varieties in terms cones, fans, homogeneous coordinates and polytopes. These are the slides for the Gröbner bases tutorial given at ISSAC Gröbner Bases Tutorial: A Sampler of Recent Developments. Gröbner Bases Tutorial: The Geometry of Elimination and These are the slides for the first lecture and part of the third lecture given at the Pan-American Advanced Study Institute, Geometric Modeling and Commutative Algebra and Lecture was given in May 2012 at the University of the Basque Country inīilbao, Spain, as part of their celebration of the 200th anniversary of This lectureĭiscusses the amazing work of Galois on solvable permutation groups. Évariste Galois and Solvable Permutation Group. Sampler of Recent Developments from my 2007 ISSAC Gröbner Bases Henares, Spain, at the 2012 meeting of EACA (Encuentro de ÁlgebraĬomputacional y Aplicaciones). Lecture highlights recent developments in the theory of Gröbnerīases and gives fun applications. Gröbner Bases: Quick Updates and Extended Snapshots. Here are some postscript or pdf files containing lecture notes for ![]() Fellow of the American Mathematical Society ![]()
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