Title: A Survey of Diophantine Equations Speaker: Edray Herber Goins, Professor of Mathematics and Statistics, Pomona College Abstract: There are many beautiful identities involving positive integers. For example, Pythagoras knew $3^2 + 4^2 = 5^2$ while Plato knew $3^3 + 4^3 + 5^3 = 6^3$. Euler discovered $59^4 + 158^4 = 133^4 + 134^4$, and even […]
We welcome all undergraduates and graduate students to attend topology seminar! Speaker: Jim Hoste (Pitzer College) Title: Variations on the Kauffman Bracket Abstract: Forty years ago, Lou Kauffman formulated his "bracket" polynomial, a function from link diagrams to Laurent polynomials in one variable. This elementary construction leads to a simple definition of the Jones Polynomial. […]
For the next CCMS Colloquium on April 3rd Wednesday, we invite all MATH faculty, and students intending to enroll in upper division math courses to attend the Fall 2024 Course Preview Session of all the upper division math courses offered across the consortium in Fall 2024. Faculty, We strongly encourage you to attend so that […]
We especially welcome all undergraduates and graduate students to attend topology seminar! Speaker: Ryan Maguire (Dartmouth College) Title: Relative Strengths of Knot Invariants by Experiment Abstract: Four knot polynomials have been well studied by topologists, graph theorists, and algebraists alike: The Alexander, Jones, HOMFLY-PT, and Khovanov polynomials. It is known that the Khovanov polynomial is […]
Title: Structural Ramsey Theory and Logic Speaker: Lynn Scow, Professor of Mathematics, California State University, San Bernardino Abstract: The connection between Ramsey theory and logic goes back to Frank P. Ramsey's 1929 paper in which he announced his famous Ramsey theorem for finite sequences. This theorem states that for any partition of all sequences of length […]
We especially welcome all undergraduates and graduate students to attend topology seminar! Speaker: Joe Breen (University of Iowa) Title: Open books in all dimensions Abstract: I will discuss recent work (joint with K. Honda and Y. Huang) on establishing a relationship, first discovered by Giroux, between "contact structures" and "open books". This relationship has been […]
We welcome all undergraduates and graduate students to attend topology seminar! Speaker: Elena Wang (Michigan State University) Title: A Distance for Geometric Graphs via the Labeled Merge Tree Interleaving Distance Abstract: Geometric graphs appear in many real-world data sets, such as road networks, sensor networks, and molecules. We investigate the notion of distance between graphs […]
CCMS Colloquium invites you to the final talk of the 2023-2024 academic year and the inaugural Barbara Beechler Lecture by Professor Judy Grabiner, Flora Sanborn Pitzer Professor of Mathematics Emerita. Title: It’s All for the Best: Optimization in the History of Science Abstract: Many problems, from optics to economics, can be solved mathematically by finding […]
We welcome all undergraduate/graduate students and faculty to attend topology seminar! Speaker: Sam Nelson (CMC) Title: Biquandle Module Quiver Representations Abstract: Biquandle module enhancements are invariants of knots and links generalizing the classical Alexander module invariant. A quiver categorification of these invariants was introduced in 2020. In this work-in-progress (joint with Yewon Joung from Hanyang […]
We welcome all undergraduate/graduate students and faculty to attend topology seminar! Speaker: Migiwa Sakurai (Shibaura Institute of Technology) Title: Clasp pass moves and arrow polynomials of virtual knots Abstract: For classical knots, clasp pass moves are closely related to Vassiliev invariants of degree 3. Tsukamoto showed that the values of the Vassiliev invariant of degree […]
Speaker: Andrés R. Vindas Meléndez, Assistant Professor of Mathematics, Harvey Mudd College, Claremont CA Title: An Invitation to Enumerative Geometric Combinatorics Abstract: Enumerative geometric combinatorics is an area of mathematics concerned with counting properties of geometric objects described by a finite set of building blocks. Lattice polytopes are geometric objects that can be formed by taking […]
Title: A polyhedral view of refined q-t Catalan numbers Speaker: Max Hlavacek Assistant Professor of Mathematics and Statistics department, Pomona College, Claremont Abstract: Many problems in algebraic combinatorics have geometric objects lurking in the background, and bringing these objects forward can shed some light on the original problem. We begin with an introduction to polyhedral cones and their […]
