The Claremont Center for the Mathematical Sciences (CCMS) Math Colloquium series begins with a student research poster session, showcasing the mathematical work of all students at the Claremont Colleges. Please join us on Wednesday, September 6th, in the Estella Courtyard at Pomona College to see the wealth of research projects that Claremont math students have […]
A numerical semigroup is a subset S of the natural numbers that is closed under addition. One of the primary attributes of interest in commutative algebra are the relations (or trades) between the generators of S; any particular choice of minimal trades is called a minimal presentation of S (this is equivalent to choosing a […]
Title: Chebyshev Threadings in Skein Algebras for Punctured Surfaces Abstract: Skein algebras are algebras of links in a surface quotiented by diagram-based equivalence relations based on the Kauffman bracket. In the case of surfaces with punctures, the skein algebra is generated by links as well as arcs between the punctures, and there are additional skein […]
Title: Diving into Math with Emmy Noether Starring: Anita Zieher; Director: Sandra Schueddekopf Abstract: A theatre performance by Portraittheater Vienna in co-operation with Freie Universität Berlin about the life of one of history's most influential mathematicians. Based on historical documents and events, the script was written by Sandra Schüddekopf and Anita Zieher in cooperation with […]
"The Sceptical Mathematician: How John Wallis Saved Mathematics for the Royal Society." Abstract: The members of the “Invisible College” and the early Royal Society championed an experimental approach to the study […]
Title: Towards Understanding the Success of First Order Methods in Training Mildly Overparameterized Networks Abstract: For most problems of interest the loss landscape of a neural network is non-convex and […]
Biquandle brackets are skein invariants of biquandle-colored knots, with skein coefficients that are functions of the colors at a crossing. Biquandle power brackets take this idea a step further with […]
Title: Cellular resolutions of the diagonal and exceptional collections for toric Deligne-Mumford stacks Abstract: Beilinson gave a resolution of the diagonal for complex projective space which yields a strong, full exceptional collection of line bundles. Bayer-Popescu-Sturmfels generalized Beilinson's result to a cellular resolution of the diagonal for what they called "unimodular" toric varieties (a more restrictive […]
Title: p-Norm Approval Voting Speaker: Michael Orrison, Professor of Mathematics, Harvey Mudd College Abstract: Approval voting is a relatively simple voting procedure: Given a set of candidates, each voter chooses […]
A classic problem in graph theory is to find the chromatic number of a given graph: that is, to find the smallest number of colors needed to assign every vertex […]
Title: Cellular resolutions of the diagonal and exceptional collections for toric Deligne-Mumford stacks (Continued) Abstract: Beilinson gave a resolution of the diagonal for complex projective space which yields a strong, full exceptional collection of line bundles. Bayer-Popescu-Sturmfels generalized Beilinson's result to a cellular resolution of the diagonal for what they called "unimodular" toric varieties (a more […]
Title: Building the Fan of a Toric Variety Speaker: Reginald Anderson, Department of Mathematical Sciences, Claremont McKenna College Abstract: Roughly speaking, algebraic geometry studies the zero sets of polynomials, which lead to objects called varieties. Since the zero sets of polynomials do not always pass the vertical line test, we enlist other methods to study […]
