Past Seminars- Math Graduate Student Colloquium

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  • Hayan Nam
    Mon May 22, 2017
    4:00 pm
    A partition with no hook lengths divisible by a is called an a-core partition. For two coprime numbers a and b, a partition is called an (a,b)-core partition if it is both a-core and b-core partition. It is well-known that the number of a-core partitions is infinite, and Anderson proved the number of (a,b)-core partitions is a rational Catalan...
  • Catherine Ta
    Tue Apr 18, 2017
    4:00 pm
    Epithelial-mesenchymal transition (EMT) is an instance of cellular plasticity that plays critical roles in development, regeneration and cancer progression. Utilizing a systems biology approach integrating modeling and experiments, we observed that adding the mutual inhibition relationship between Ovol2 and EMT inducer Zeb1 generates a novel four-...
  • Rufei Ren
    Mon Apr 10, 2017
    4:00 pm
    Let p be a prime number. The Artin-Schreier-Witt tower delt in [DWX] is defined by a single variable polynomial f(x) ∈ Fp which is a tower of curves ⋅ ⋅ ⋅ → Cm → Cm-1 → ⋅ ⋅ ⋅ → C0 =A1 ,with total Galois group Zp . In [DWX], Davis, Wan...
  • Jay Yang
    Wed Mar 1, 2017
    3:00 pm
    We are interested in determining the most likely control network(s) that govern the regulation of human colon crypt stem cell lineages, where lineages are comprised of stem cells, transit amplifying cells, and differentiated cells. We started with a theoretically known set of 32 smallest control networks compatible with tissue stability. We...
  • Yuki Takahashi
    Wed Oct 12, 2016
    4:00 pm
    If a group action is given, then we can naturally define a graph called a Schreier graph. We define self-similar groups and consider the spectra of Schreier graphs associated with them. This talk is based on the material that I studied recently for a conference talk, and is accessible to every math grad student. http://www.math.uci.edu/~mgsc/talk....
  • Alex Mramor
    Wed Jun 1, 2016
    4:00 pm
    The mean curvature flow provides a way to generate paths in the space of hypersurfaces so can be used to prove connectedness theorems, but it has its limitations. In this talk we explain how an extension of the mean curvature flow, mean curvature flow with surgery, can be used to partially overcome these limitations and prove stronger...
  • Min Wen
    Wed May 25, 2016
    4:00 pm
    We propose virtual element methods for solving one- or multi-domain elliptic interface problems using interface-fitted meshes. The main challenge is to design an efficient and robust mesh that can capture certain properties while preserving arbitrary complex geometries of the interface. Moreover, it is a tricky problem in classical finite element...