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  • Applied Math Talk: Cluster analysis on covariance stationary ergodic processes and locally asymptotically self-similar processes (Nan Rao, CGU)

    Emmy Noether Room, Millikan 1021, Pomona College 610 N. College Ave., Claremont, California

    We study the problems of clustering covariance stationary ergodic processes and locally asymptotically self-similar stochastic processes, when the true number of clusters is priorly known. A new covariance-based dissimilarity measure is introduced, from which efficient consistent clustering algorithms are obtained. As examples of application, clustering  fractional Brownian motions and clustering multifractional Brownian motions are respectively performed to illustrate the asymptotic consistency of […]

  • Indiana Pols Forced to Eat Humble Pi: The Curious History of an Irrational Number (Edray Goins, Pomona)

    Millikan 2099, Pomona College 610 N. College Ave., Claremont, CA, United States

    In 1897, Indiana physician Edwin J. Goodwin believed he had discovered a way to square the circle, and proposed a bill to Indiana Representative Taylor I. Record which would secure Indiana's the claim to fame for his discovery.  About the time the debate about the bill concluded, Purdue University professor Clarence A. Waldo serendipitously came […]

  • Some Unexpected Mathematics Arising From Research at NIST ( Hunt, NIST)

    Shanahan B460, Harvey Mudd College 301 Platt Blvd., Claremont, CA, United States

    A lot of the mathematics done at NIST supports the research on and measurement of advanced materials and technology. In this rather applied context. surprising mathematics makes an appearance. We present a few examples.

  • Refinements of metrics (Wai Yan Pong, CSUDH)

    Millikan 2099, Pomona College 610 N. College Ave., Claremont, CA, United States

    I will talk about a few graph-theoretic metrics then introduce the concept of refinements on a class of functions that include all metrics. As a case study, we will construct various refinements on the shortest-path distance. Consequently, we obtain a few "better" versions of the Erdos number. In the course of our investigation, we realized various construction […]

  • Reasoning about Liability of Intelligent Agents ( Naumov, CMC)

    Shanahan B460, Harvey Mudd College 301 Platt Blvd., Claremont, CA, United States

    Abstract: As intelligent agents assume larger role in our daily lives, reasoning by humans about liability of such agents as well as reasoning by the intelligent agents themselves about liability becomes more important.  The existing laws, written with humans in mind, will eventually need to be re-interpreted in terms of their applicability in a hybrid […]

  • Applied Math Talk: Repurposing FDA-approved drugs as host-oriented therapies against infectious diseases (Prof. Mikhail Martchenko, KGI)

    Emmy Noether Room, Millikan 1021, Pomona College 610 N. College Ave., Claremont, California

    The traditional method of treating most human diseases is to direct a therapy against targets in the host patient, whereas conventional therapies against infectious diseases are directed against the pathogen. Unfortunately, the efficacy of pathogen-oriented therapies and their ability to combat emerging threats such as genetically engineered and non-traditional pathogens and toxins have been limited […]

  • Fibonacci and Lucas analogues of binomial coefficients and what they count (Curtis Bennett, CSULB)

    Millikan 2099, Pomona College 610 N. College Ave., Claremont, CA, United States

    A Fibonomial is what is obtained when you replace each term of the binomial coefficients $ {n \choose k}$ by the corresponding Fibonacci number.  For example, the Fibonomial $${ 6\brace 3 } = \frac{F_6 \cdot F_5 \cdot \dots \cdot F_1}{(F_3\cdot F_2 \cdot F_1)(F_3\cdot F_2 \cdot F_1)} = \frac{8\cdot5\cdot3\cdot2\cdot1\cdot1}{(2\cdot1\cdot1)(2\cdot1\cdot1)} = 60$$ since the first six Fibonacci […]

  • On the interplay of functional analysis and operator theory (Puig de Dios, UCR)

    Shanahan B460, Harvey Mudd College 301 Platt Blvd., Claremont, CA, United States

    Abstract: We overview some basic and striking facts concerning the theory of hypercyclic operators (considered to be born in 1982): 1. Hypercyclicity is a purely infinite-dimensional phenomenon: no finite dimensional space supports any hypercyclic operator; 2. It is not easy at all to determine whether a linear operator is hypercyclic. However, the set of hypercyclic […]

  • Models of Biological Tissue Electrostatics and Molecular Transport (Jim Sterling, KGI)

    Emmy Noether Room, Millikan 1021, Pomona College 610 N. College Ave., Claremont, California

    In this presentation, some fundamentals of electrostatics in biology will be discussed with focus on the fact that most biological macromolecules including nucleic acids, carbohydrates, and proteins are negatively-charged. Electroneutrality requires cations to move toward the macromolecules where they both screen and bind to the negatively-charged groups. An important class of mathematical models of species-flux […]

  • Matrix multiplication: the hunt for $\omega$ (Mark Huber, CMC)

    Millikan 2099, Pomona College 610 N. College Ave., Claremont, CA, United States

    For centuries finding the determinant of a matrix was considered to be something that took $\Theta(n^3)$ steps.  Only in 1969 did Strassen discover that there was a faster method.  In this talk I'll discuss his finding, how the Master Theorem for divide-and-conquer plays into it, and how it was shown that finding determinants, inverting matrices, […]

  • A General Bayesian Discrete Time Survival Model (King, CPP)

    Shanahan B460, Harvey Mudd College 301 Platt Blvd., Claremont, CA, United States

    Abstract: "We present a general Bayesian statistical model for discrete time, discrete state space stochastic processes. Applications include the modeling of recurrent and episodic disease processes, such as episodes of illicit drug use, as well as social processes such as educational enrollment and employment. We also present Markov chain Monte Carlo inference algorithms for our […]

  • Geometry of quotient varieties and the algebra of conformal blocks (Han-Bom Moon Fordham University)

    Roberts North 104, CMC 320 E. 9th St., Claremont, CA, United States

    An important question in classical representation theory is when the tensor product of two irreducible representations has another representation as a factor. In this talk, I will introduce a quantum generalization of this question and explain how we may relate this question to geometry of quotients of certain complex manifolds. This is joint work with […]