Two Park Seniors Present at the 2019 Joint Mathematics Meeting in Baltimore
Two Park School students presented at the 2019 Joint Mathematics Meeting – the largest mathematics meeting in the world — held this year at the Baltimore Convention Center, January 16-19.
Park senior Ollie Thakar presented on Friday with Upper School math teacher Dr. Katherine Socha on “Enchanting Geometry.” Ollie was the only high school presenter in the session.
Abstract: Enchanting Geometry. Mathematicians know that developing and proving theorems both require creative thinking, but many of our peers in other lines of work have not experienced mathematics as creative thinking about beautiful ideas. In this talk, we present one beautiful geometric result and coax the audience into developing a particularly elegant argument. The result: that the lune of Hippocrates, a shape bounded by two circular arcs, is quadrable — equal in area to a constructible square. Join us in the talk to develop the argument! This exploration is one example from a guided journey through geometry: a book in progress, intended to enchant the general reader into discovering elegance and creativity through geometry. (Note: this is a student-led presentation.)
Park senior Kendall Clark presented on Saturday with a research group from her summer study program at St. Mary’s College of Maryland. Kendall was the only high school student in the program of 12 at St. Mary’s. As a sophomore, Kendall received a Templeton-Ramanujan Prize for Scholarly Development.
Abstract: Combating tuberculosis: using time-dependent sensitivity analysis to develop strategies for treatment and prevention. Preliminary report. Although many organizations throughout the world have worked tirelessly to control tuberculosis (TB) epidemics, no country has yet been able to eradicate the disease completely. In this talk, we present two compartmental models representing the spread of a TB epidemic throughout a population. The first is a general TB model; the second is an adaptation for regions in which HIV is prevalent, accounting for the effects of TB/HIV co-infection. Using active subspaces, we conduct time-dependent sensitivity analysis on both models to explore the significance of certain parameters with respect to the spread of TB. We use the results of this sensitivity analysis to determine the most effective strategies for treatment and prevention throughout the epidemic.
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