Carlos Caraballo

 Carlos Caraballo

Carlos Caraballo

  • Courses6
  • Reviews10

Biography

Miami Dade College (all) - Mathematics


Resume

  • 2012

    Spanish

    Master of Science - MS

    Mathematics

    UM Probability group

    UM Climbing Club

    University of Miami

    3.475/4.0

  • 2009

    Bachelor of Science - BS

    Mathematics

    McNair Scholar

    Florida International University

    Cum Laude

  • 2005

    Bachelor of Science - BS

    Mathematics

    University of Havana

  • Young Mathematicians Conference: 2011 | Conference Schedule

    The Young Mathematicians Conference (YMC) is a premier annual conference for undergraduate research in mathematics. Accepted students (typically around 65) are invited with support to the conference during a weekend at the Department of Mathematics of the Ohio State University.\n \nSpeakers in the past included recipients of the Fields Medal

    the MacArthur and Sloan Fellowships

    Pólya and Nevanlinna Prizes

    among others.

    The Department of Mathematics of The Ohio State University presents the 2010 Young Mathematicians Conference.

    Young Mathematicians Conference: 2011

    Probability Seminar - Spring 2016

    Probability Seminar - Spring 2016

    Ultimate Software - TechSTARS Hands-On Software Engineering Internship Program

    Starting in 2006 with two summer interns

    Ultimate’s TechSTARS program has grown to a year-round program welcoming 150 people annually.

    Ultimate Software - TechSTARS Hands-On Software Engineering Internship Program

    Feeding South Florida

    volunteer

    Mid-Ohio Foodbank

    Teaching

    Object-Oriented Programming (OOP)

    Software Development

    Higher Education

    University Teaching

    Mathematics

    Language Integrated Query (LINQ)

    Design Patterns

    Git

    Applied Mathematics

    Statistics

    LaTeX

    SOLID Principles

    Agile

    C#

    Mathematics Education

    Microsoft SQL Server

    Object Oriented Design

    Research

    Mathematical Programming

    “On the Tutte-Krushkal-Renardy polynomial for cell complexes”

    Recently V. Krushkal and D. Renardy generalized the Tutte polynomial from graphs to cell complexes. We show that evaluating this polynomial at the origin gives the number of cellular spanning trees in the sense of A. Duval

    C. Klivans

    and J. Martin. Moreover

    after a slight modification

    the Tutte–Krushkal–Renardy polynomial evaluated at the origin gives a weighted count of cellular spanning trees

    and therefore its free term can be calculated by the cellular matrix-tree theorem of Duval et al. In the case of cell decompositions of a sphere

    this modified polynomial satisfies the same duality identity as the original polynomial. We find that evaluating the Tutte–Krushkal–Renardy along a certain line gives the Bott polynomial. Finally we prove skein relations for the Tutte–Krushkal–Renardy polynomial.

    “On the Tutte-Krushkal-Renardy polynomial for cell complexes”

    “Fluid Limit for a Genetic Mutation Model”

    FLUID LIMIT AND STOCHASTIC STABILITY FOR A GENETIC MUTATION MODEL

    FLUID LIMIT AND STOCHASTIC STABILITY FOR A GENETIC MUTATION MODEL

    Carlos

    Bajo Caraballo

    Ultimate Software

    University of Miami

    Miami Dade College

    Florida International University

    Ultimate Software

    Miami/Fort Lauderdale Area

    Lectured Calculus III and Mathematics for Liberal Arts

    Adjunct Professor

    Miami Dade College

    Weston

    florida

    Assisted with integration and compliance of legacy code for the new Ultimate Tax Engine product. Implemented design patterns to add extensibility

    testability and scalability to existing solutions. Worked effectively with business analysts to ensure software solutions meet client expectations.

    TechStar

    Ultimate Software

    Miami/Fort Lauderdale Area

    Lectured students in Calculus I

    II

    Probability and Statistics; Developed leadership and organizational skills to conduct classes of 30 to 40 students

    PhD. Student

    University of Miami

    Configure and maintain services to provide foundational functionality and integration across teams

    such as Authentication and Service Discovery. Create

    configure and support CI/CD pipelines for team’s services. Develop Restful APIs for reporting. Maintain documentation for team’s services.

    Ultimate Software

    Learning Assistant

    Worked as a Learning Assistant at the Department of Mathematics. Lectured undergraduate students in Calculus I

    II

    and III

    Differential Equations and Linear Algebra.

    Florida International University

MAT 0018

2.5(1)

MAT 0020

3.5(1)

MAT 0028

3.9(4)

MAT 1022

4.5(2)

MAT 1102

4.5(1)