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Summer Workshop for Intrepid Mathematicians
SWIM 2022
A series of accessible talks given primarily by high-school students, undergraduates, and early-career graduate students. Speakers present their research, develop their talks with feedback from the organizers, and strengthen their expository skills.
Organizers
Schedule
Click a talk to read its abstract
August 01Monday
Paving the Way for Regulatory Submissions Using R: the Risk Assessment Application
Marly Gotti · Apple
Paving the Way for Regulatory Submissions Using R: the Risk Assessment Application
Marly Gotti · Apple
Abstract
We will introduce the Risk Assessment Shiny Application, an interactive tool built on the riskmetric package to evaluate the quality and development practices of contributed R packages. We will show how the application can support consistent, documented package assessments in regulated and GxP environments.
August 08Monday
A brief intro to the atomic structure of Puiseux monoids
Aditya Kumar · University of Florida
A brief intro to the atomic structure of Puiseux monoids
Aditya Kumar · University of Florida
Abstract
This talk introduces Puiseux monoids and explores their atomic structure, with emphasis on the existence of irreducible elements and the ways in which elements factor within these additive monoids.
August 16Tuesday
On the arithmetic of polynomial semirings
Harold Polo · University of Florida
On the arithmetic of polynomial semirings
Harold Polo · University of Florida
Abstract
Arithmetic and factorization properties in semirings of polynomials over \(\mathbb{R}_{\ge 0}\) or other positive semifields such as elasticities and divisor theory where additive inverses are not available.
August 23Tuesday
Factoring upper triangular matrices over information semialgebras
Ernesto Ferrer · University of Havana
Factoring upper triangular matrices over information semialgebras
Ernesto Ferrer · University of Havana
Abstract
This talk investigates factorizations of upper triangular matrices whose entries belong to information semialgebras. It discusses how the algebraic structure of the underlying semialgebra influences matrix multiplication, divisibility, and factorization.
August 29Monday
Modelling epidemics via Monte-Carlo Markov Chain algorithms
Willy Rodriguez · Toulouse University
Modelling epidemics via Monte-Carlo Markov Chain algorithms
Willy Rodriguez · Toulouse University
Abstract
This presentation introduces the use of Markov chain Monte Carlo algorithms in epidemic modeling. It explains how these computational methods can be used to estimate model parameters, quantify uncertainty, and study the possible evolution of an outbreak.
Participants
14 registered
Ernesto FerrerUniversity of Havana
Victor GonzalezUniversity of Havana
Felix GottiMIT
Marly GottiApple
Aditya KamurUniversity of Florida
Bangzheng LiMIT PRIMES
Shi LuUniversity of Florida
Harold PoloUC Irvine
Pedro RodriguezUniversity of Havana
Willy RodriguezToulouse University
Miguel SecillanoUniversity of Florida
Easton SingerCrowdMath
Marcos TiradorUniversity of Havana
Sophie ZhuMIT PRIMES