• Multiscale problems
  
• Epidemics
  
• Bayesian Inference
  
• Markov diffusion-jump processes

• A. Moraes, F. Ruggeri, R. Tempone and P. Vilanova, "Multiscale Modeling of Wear Degradation in Cylinder Liners",  Multiscale Modeling & Simulation, 12(1):396-409, 2014.
• A. Moraes, R. Tempone and P. Vilanova, "Hybrid Chernoff Tau-leap", Multiscale Modeling & Simulation, 12(2):581-615, 2014.
• A. Moraes, R. Tempone and P. Vilanova, "Multilevel Hybrid Chernoff Tau-leap", BIT Numerical Mathematics​, April 2015.
• A. Moraes, R. Tempone and P. Vilanova, "A multilevel adaptive reaction-splitting simulation method for stochastic reaction networks", Submitted, 2014.
  
• C. Bayer, A. Moraes, R. Tempone and P. Vilanova, "An Efficient Forward-Reverse Expectation-Maximization Algorithm for Statistical Inference in Stochastic Reaction Networks​", Stochastic Analysis and Applications, Volume 34, Issue 2, 2016
  
• Olivier Le Maitre, Omar Knio, and Alvaro Moraes, "Variance Decomposition in Stochastic Simulators​", The Journal of Chemical Physics, Volume 142, Issue 24, 2015
  
• ​C. Ben Hammouda, A. Moraes, R. Tempone, Multilevel hybrid split-step implicit tau-leap, Numerical Algorithms, pp 1-34, June 2016

Ph.D. Of Science in Applied Mathematics, January 2015. GPA 3.96 / 4.0

Thesis Topic: Simulation and Statistical Inference of Stochastic Reaction Networks.

B.Sc. in Statistics with a mayor in Actuarial Math, November 2008. GPA 3.50 / 4.0

Thesis Topic: Focused on nonlinear Bayesian regression applied to Item Response Theory.

• Invited faculty at the Mathematical and Theoretical Biology Institute (MTBI) at Arizona State University (​summer 2014).​
• Teaching Assistant at KAUST (Numerical Methods for Partial Differential Equation with Random Inputs, Numerical Methods for Stochastic Differential Equations, Stochastic Methods in Engineering, Numerical Linear Algebra). 
• Research Intern at Oak Ridge National Laboratory (summer 2009 and summer 2010). 
• Lecturer at Universidad de la Republica (Numerical Analysis, Probability and Statistics, Linear Algebra, Special Topics in Advanced Statistics).​ 

• Member, Society for Industrial and Applied Mathematics (SIAM)
• Member, American Mathematical Society (AMS)

• Academic Excellence Award, King Abdullah University of Science and Technology, Saudi Arabia.
  
• Provost´s Award for Outstanding Scholastic Scholarship, King Abdullah University of Science and Technology, Saudi Arabia.
• Graduate Fellowship Award, King Abdullah University of Science and Technology, Saudi Arabia.
  
• Member of the Uruguayan Team for the Iberoamerican Mathematical Olympiads.

• Computer, Electrical and Mathematical Sciences & Engineering Division: http://cemse.kaust.edu.sa/Pages/Home.aspx
• Member of KAUST SRI Center for Uncertainty Quantification in Computational Science and Engineering:https://b-sri-uq.kaust.edu.sa/people 
• Member of KAUST Stochastic-Numerics Group: https://b-stochasticnumerics.kaust.edu.sa/pages/people-org/detail/alvaro-moraes 
  

• Laboratory of Probability and Statistics of the Universidad de la Republica, Uruguay: http://www.lpe.edu.uy/secciones/integrantes.php