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  • Applied Math Talk: Nonlocal problems for linear evolution equations (Prof. Smith David Andrew, Yale-NUS College, Singapore)

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

    Linear evolution equations, such as the heat equation, are commonly studied on finite spatial domains via initial-boundary value problems. In place of the boundary conditions, we consider “multipoint conditions”, where one specifies some linear combination of the solution and its derivative evaluated at internal points of the spatial domain, and “nonlocal” specification of the integral […]

  • 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 […]

  • A (Z⊕Z)-family of knot quandles (Jim Hoste, Pitzer College)

    Suppose K is an oriented knot in a 3-manifold M with regular neighborhood N (K). For each element γ ∈ π 1 (∂N (K)) we define a quandle Q γ (K; M) which generalizes the concept of the fundamental quandle of a knot. In particular, when γ is the meridian of K, we obtain the […]

  • Applied Math Seminar: The Kaczmarz Algorithm and its Applications to Data Science (Anna Ma, UCSD)

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

    Data is exploding at a faster rate than computer architectures can handle. For that reason, mathematical techniques to analyze large-scale data need be developed. Stochastic iterative algorithms have gained interest due to their low memory footprint and adaptability for large-scale data. In this talk, we will study the Randomized Kaczmarz algorithm for solving extremely large […]

  • Applied math seminar: Topological descriptions of protein folding (Helen Wong, CMC)

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

    Knotting in proteins was once considered exceedingly rare.  However, systematic analyses of solved protein structures over the last two decades have demonstrated the existence of many deeply knotted proteins, and […]

  • Notions of stability in algebraic geometry (Jason Lo, CSUN)

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

    One of the main drivers of current research in geometry is the classification of Calabi-Yau threefolds.  Towards this effort, a particular approach in algebraic geometry is via the study of […]

  • Frobenius problem over number fields (Lenny Fukshansky, CMC)

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

    The classical Frobenius problem asks for the largest integer not representable as a non-negative integer linear combination of a relatively prime integer n-tuple. This problem and its various generalizations have […]

  • Poster Session Fall 2019

    Argue Auditorium, Pomona College 610 N. College Ave., Claremont, CA, United States

    CLAREMONT CENTER for MATHEMATICAL SCIENCES Fall 2019 Poster Session Click here for poster abstracts.