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Research

• Talk for PDE Seminar
  Cauchy Kovalevsky Theorem
  


• Research Associate- ASU Library Unit for Data Science (2020 - 2022)
Social Network Analysis


• Recording of Talk 4/7/21 - Topological Data Analysis
• This presentation combines techniques from geometry and topology to analyze the qualitative properties of data. By studying the shapes of the data with these mathematical tools, TDA can be used to describe point cloud data by its underlying skeleton and can help to reduce dimensionality and noise, in order to analyze the underlying structure.
  

• Recording of Talk 4/14/21 - An organization's impact through connections: A topological approach 
  
• Does an organization make a difference? We will be answering this inquiry using a topological approach. We will measure an organization's impact on the surrounding business environment and individual members by looking at the graph topology.


• ASU and MCC Applied Math (AM)^2 (NSF REU) (Summer 2018)
  Arizona State University and Maricopa Community College Applied Math REU
  Project Description: Predicting Stratospheric Ozone Distribution using MPAS (Model for Predicting Across Scales) with Dr. Mohammed Moustaoui (ASU)
  
  

Education

Mathematics Graduate Student (2020 - 2022)
Theoretical Math

• Graduate Courses Taken:
  543-544: Abstract Algebra
  570- 571: Real Analysis
  501-502: Geometry and Topology of Manifolds
  572: Complex Analysis
  578-579: Functional Analysis
  Riemannian Geometry
  Geometric Analysis
  Theory of Elliptic PDEs
  Hyperbolic Geometry
  Homology
  Cohomology
  Lie Groups and Lie Algebras
  

• AMS Short Course 2021 on Mathematical and Computational Methods for Complex Social Systems (January, 2021)