Triangle Lectures in Combinatorics Saturday, November 16, 2019 Lecture Hall: SAS Hall, Room 1102 North Carolina State University Raleigh, North Carolina The Triangle Lectures in Combinatorics (TLC) is a series of combinatorial workshops held each semester on a Saturday in the Research Triangle region of North Carolina, funded by the National Science Foundation. The workshop just under two…
Differential games, as an offspring of game theory and optimal control, provide the modeling and analysis of conflict in the context of a dynamical system. Computing Nash equilibria is one of the core objectives in differential games, with a major bottleneck coming from the notorious intractability of N-player games, also known by the curse of…
A group G is called coherent if every finitely generated subgroup of G is finitely presented. This is a property enjoyed by the fundamental groups of 3-manifolds, and it is deeply related to the geometry of the group. We show that free-by-free groups satisfying a particular homological criterion are incoherent. This class is large in…
Tensors (aka multiway arrays) can be instrumental in revealing latent correlations residing in high dimensional spaces. Despite their applicability to a broad range of applications in machine learning, speech recognition, and imaging, inconsistencies between tensor and matrix algebra have been complicating their broader utility. Researchers seeking to overcome those discrepancies have introduced several different candidate…
In this talk, I will discuss two different 'ranking' models: Mallows' ranking model and rank-dependent diffusions. In the first part, I will discuss the rank-dependent diffusions. I will focus on two models: Up the River model, and N-player games with fuel constraints. These problems require treating carefully the corresponding PDEs. The former is joint with…
A geometrically-exact beam is a nonlinear field-theoretic model for elongated elastic objects. It utilizes moving frames to reduce the number of system’s independent spatial variables, which is a further development of Euler’s approach to the rotational dynamics of rigid bodies. The talk will discuss the dynamics and geometrically-inspired discretization for structure-preserving numerical simulations of free,…
Intermittent androgen deprivation therapy (IADT) is an attractive treatment approach for biochemically recurrent prostate cancer (PCa), whereby cycling treatment on and off has been shown to limit toxicities and reduce cumulative dose. While IADT has been shown to delay the development of treatment resistance, underlying mechanisms and actionable biomarkers are required to accurately predict when…
Profs. Ilse Ipsen, Ralph Smith, and Mansoor Haider will provide their insight on experiences in academic job hiring. This panel will provide graduate students interested in careers in academia with useful advice on job interviews and the job market in academia.
This panel discussion will provide students with interview strategies for different types of jobs (academic, industrial, labs, etc.). Some time will be spent on the environment at the Joint Mathematics Meeting.
AWM is hosting Movie Night to watch Hidden Figures. There will be free popcorn and drinks. AWMmovienight Poster
A transverse link is a link in the 3-sphere that is everywhere transverse to the standard contact structure. Transverse links are considered up to transverse isotopy, with classical invariants such as the self-linking number and regular isotopy class. One of the first connections between transverse links and quantum invariants was made by Plamenevskaya in 2006,…
Steve Campbell will be retiring as of January 1, 2019 after 47 years of service to the department.
How do we know that we can trust our machine learning models? How do we detect when an adversary is exploiting our machine learning solutions? How does the explainability of machine learning models help the customers of such models versus helping the adversaries of such models? In this talk we will examine recent issues in Machine…
Grant Barkley Title: Coxeter Groups and the Lattice of Total Orders Abstract: A Coxeter group is a group generated by elements of order 2, called reflections, along with certain relations between the elements. The group of permutations on n elements (generated by swapping 1 and 2, 2 and 3, etc.) is an important…
Chapoton triangles are polynomials in two variables defined by Coxeter-Catalan objects. These polynomials are related by some remarkable identities that only depend on the rank of the associated (finite) Coxeter system. The multidimensional Catalan numbers enumerate the number of standard Young tableaux of a rectangular shape. In this talk I will introduce some other combinatorial objects counted by these numbers. I…