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  • 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 […]

  • Applied Math Talk: Solving Complex Public Health Problems—Cancer, Obesity and Aging (Jessica Dehart, CGU)

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

    Abstract: Remember smoking? What’s the new public health problem? In the US, we are currently entangled within three converging and intertwined complex problems: Cancer, Obesity, Aging. There are over 16 million cancer survivors living in the US as we speak. Over 50% of our society is overweight and/obese. Our society is aging and the age […]

  • Unravelling Biochemistry Mysteries: Knot Theory Applied to Biochemistry (Price, University of San Diego)

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

    Abstract: Mathematical modeling is an effective resource for biologists since it provides ways to simplify, study and understand the complex systems common in biology and biochemistry. Many mathematical tools can be applied to biological problems, some traditional and some more novel, all innovative. This presentation will review the mathematical tools that are used to model […]

  • Enhancements of the quandle coloring invariant for knots (Karina Cho, Harvey Mudd College)

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

    Quandles are algebraic structures that play nicely with knots. The multiplicative structure of finite quandles gives us a way to "color" knot diagrams, and the number of such colorings for a given knot and quandle is called the quandle coloring invariant. We strengthen this invariant by examining the relationships between the colorings, which are given […]

  • Theory of vertex Ho-Lee-Schur graphs (Sin-Min Lee, SJSU)

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

    A triple of natural numbers (a,b,c) is an S-set if a+b=c. I. Schur used the S-sets to show that for n >3, there exists s(n) such that for prime p […]

  • A Conformal Mapping Approach to Shape Optimization Problems. (Kao, CMC)

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

    Abstract: In this talk, a conformal mapping approach to shape optimization problems on planar domains will be discussed. In particular, spectral methods based on conformal mappings are proposed to solve Steklov eigenvalues and their related shape optimization problems in two dimensions. To apply spectral methods, we first reformulate the Steklov eigenvalue problem in the complex domain […]