The Roger-Yang Arc Algebra (Helen Wong, CMC)
Based on geometric considerations, J. Roger and T. Yang in 2014 defined a version of the Kauffman bracket skein algebra for punctured surfaces that includes arcs going from puncture […]
12 events found.
Events
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Roberts North 104, CMC 320 E. 9th St., Claremont, CA, United States
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GEMS Workshop: Graph Theory, Part I with Professor Michael Orrison, from Harvey Mudd College
Shanahan 1480, Harvey Mudd College 301 Platt Blvd., Claremont, CA, United StatesTOPIC: Graph Theory, Part I On the surface, graphs seem to be some of the simplest objects you might encounter in mathematics. After all, they are made up of just two kinds of parts, vertices and edges, and those parts fit together in simple ways. But appearances can be deceiving! In this series of two […]
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Estimating the physical location of Twitter users with the von Mises-Fisher distribution (Mike Izbicki, UC Riverside)
Emmy Noether Room, Millikan 1021, Pomona College 610 N. College Ave., Claremont, CaliforniaApproximately 500 million tweets are sent everyday. Scientists monitor these tweets to predict the spread of disease, better allocate social welfare services, help first responders during natural disasters, and many other important tasks. A key step in each of these tasks is estimating the location the tweet was sent from. In this talk, I discuss how to combine machine […]
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Lattices from group frames and vertex transitive graphs (Lenny Fukshansky, CMC)
Millikan 2099, Pomona College 610 N. College Ave., Claremont, CA, United StatesTight frames in Euclidean spaces are widely used convenient generalizations of orthonormal bases. A particularly nice class of such frames is generated as orbits under irreducible actions of finite groups of orthogonal matrices: these are called irreducible group frames. Integer spans of rational irreducible group frames form Euclidean lattices with some very nice geometric properties, […]
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Algebraic and Polyhedral Perspectives on Combinatorial Neural Codes (Robert Davis, Harvey Mudd)
Shanahan B460, Harvey Mudd College 301 Platt Blvd., Claremont, CA, United StatesIn the 1970s, James O’Keefe and his team observed that certain neurons in the brain, called place cells, spike in their firing rates when the animal is in a particular physical location within its arena. If a place cell is thought of as either “active” or “silent,” then one may represent the co-firing patterns of […]
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Community structure in networks: the effect of communities on a preferential attachment model and epidemic spreading (Emily Fischer, Cornell)
Emmy Noether Room, Millikan 1021, Pomona College 610 N. College Ave., Claremont, CaliforniaOnline social networks and other networks of interest are known to exhibit community structure, where a community is defined to be a highly interconnected group of nodes with possibly shared traits or features. However, classic network models, such as the preferential attachment model, do not account for community structure. In this talk, I will present […]
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Subgraph statistics (Benny Sudakov, ETH Zurich)
Millikan 2099, Pomona College 610 N. College Ave., Claremont, CA, United StatesGiven integers $k,l$ and a graph $G$, how large can be the fraction of $k$-vertex subsets of $G$ which span exactly $l$ edges? The systematic study of this very natural question was recently initiated by Alon, Hefetz, Krivelevich and Tyomkyn who also proposed several interesting conjectures on this topic. In this talk we discuss a theorem […]
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Cracking the Code: Predicting Properties of Material Fracture Networks using Machine Learning (Allon Percus, CGU)
Shanahan B460, Harvey Mudd College 301 Platt Blvd., Claremont, CA, United StatesUnderstanding how fluid flows through heterogeneous materials, and how it can make these materials fail, are among the hardest challenges in materials science. Experiments and simulations show that flow through subsurface rock is mostly limited to a small subnetwork, or backbone, of fractures. Identifying this backbone would allow for a large speedup in flow and […]
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Job Talk – Nicole Fider, UC Irvine
Candidate for Assistant Professor in Mathematics, Scripps College A surprising application of mathematics: How to name a color Your brain likes patterns and categories; by grouping related ideas together, it can store and recall information quickly. Real-life continuous domains (like time and taste) are inherently composed of infinitely many points of information, which your brain […]
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Knowledge, strategies, and know-how (Pavel Naumov, CMC)
Millikan 2099, Pomona College 610 N. College Ave., Claremont, CA, United StatesAn agent comes to a fork in a road. There is a sign that says that one of the two roads leads to prosperity and another to death. The agent must take the fork, but she does not know which road leads where. Does the agent have a strategy to get to prosperity? On one […]
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Personal Perspectives on m-ary Partitions (James Sellers, Penn State)
Shanahan B460, Harvey Mudd College 301 Platt Blvd., Claremont, CA, United StatesAbstract: A great deal of my research journey has involved the study of m-ary partitions. These are integer partitions wherein each part must be a power of a fixed integer m > 1. Beginning in the late 1960s, numerous mathematicians (including Churchhouse, Andrews, Gupta, and Rodseth) studied divisibility properties of m-ary partitions. In this talk, I will discuss work I completed […]
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A nonorientable version of the Milnor Conjecture (Cornelia A. Van Cott, USF)
Roberts North 104, CMC 320 E. 9th St., Claremont, CA, United StatesIn 1968, Milnor famously conjectured that the smooth 4-genus of the torus knot T(p,q) is given by (p-1)(q-1)/2. This conjecture was first verified by Kronheimer and Mrowka in 1993 and has received several other proofs since then. In this talk, we discuss a nonorientable analogue of this conjecture, first formulated by Josh Batson. We prove […]