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Ryan Alvarado

Ryan Alvarado

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  • Website
  • Amherst College
  • Status: Faculty
  • Department: Math, Stat,
  • Will Mentor: Doctoral students, Pre-doctoral students

Areas of Expertise

Pure Mathematics,

Research Interests

Harmonic Analysis, Partial Differential Equations (PDEs)


I was born in Port Clinton, Ohio but I have spent the majority of my life in Missouri. My academic life began in Kansas City, Missouri where I double majored in mathematics and physics at a small liberal arts college called William Jewell College. I never thought that graduate school was an option until one of my undergraduate professors took the initiative to mentor me. As a result, I decided to attend the University of Missouri - Columbia where I received my Ph.D. in mathematics. After spending three years at The University of Pittsburgh as a post-doctoral research fellow, I joined the Amherst College faculty as an Assistant Professor of Mathematics. I learned firsthand the impact that an educator can have on a student's life, and I carry that important lesson with me every day as I encourage students from traditionally underserved groups to pursue careers in the mathematical sciences.

My research lies at the junction of Harmonic Analysis, Partial Differential Equations (PDEs), and Geometric Measure Theory, and a large portion of my work falls under the scope of the general program aimed at studying the interplay between geometry and analysis by addressing issues such as how to relate the geometric make-up of an environment to the amount of analysis it can support. This focus has recently led me to work on problems in an area of mathematics called Analysis on Metric Spaces.