Ricardo Grande Izquierdo


MIT Department of Mathematics
Office: 
Simons Building (Building 2)
Room 2-334
Email: rgi [at] mit [dot] edu

I am a fifth year graduate student in the Department of Mathematics at MIT. My research concerns Dispersive PDEs, Harmonic Analysis, Numerics and continuum limit of discrete models, and Nonlocal phenomena (long-range interactions and memory effect). My thesis advisor is Gigliola Staffilani. My CV is here.

Research

Well-posedness of the Dysthe equation (with K. Kurianski and G. Staffilani), in preparation.

Continuum limit for discrete NLS with memory effect, preprint.

Space-time fractional NLS equation, SIAM J. Math. Anal, 51(5), 4172-4212.

Equisizable partial sum families (with István Kovács, Klavdija Kutnar, Aleksander Malnič, Luis Martínez and Dragan Marušič), Journal of Algebraic Combinatorics (2019), pp 1–24.

On embeddings of circulant graphs (with Marston Conder), Electronic Journal of Combinatorics 22 (2015), P2.28.

Teaching

Fall 2019: Grader for 18.085 - Computational Science and Engineering I.

Spring 2019: Grader for 18.615 - Introduction to Stochastic Processes.

Summer 2018: UROP+ mentor. Student: Zixuan Xu. Project: Almost Conservation Laws for KdV and Cubic NLS.

Spring 2018: TA for 18.03 - Differential Equations.

Fall 2017: TA for 18.02 - Multivariable Calculus.

Fall 2016: Grader for 18.085 - Computational Science and Engineering I.

Summer 2016: UROP+ mentor. Student: Eli Sadovnik. Project: A Central Limit Theorem for Fluctuations of Internal Diffusion-Limited Aggregation with Multiple Sources.