## Josh Buli## Department of Mathematics## University of California, Riverside |

*Email*: jbuli001-at-ucr-dot-edu

*Office*: Surge 263 *Office Hours*: Pierce 2423 *Day and Time*: 4-5 pm

I am currently a fourth year PhD student at the University of California, Riverside. In May 2013, I graduated from the University at Buffalo, SUNY with a BS in Mathematical Physics, and a BA in Mathematics. In March 2015, I was awarded my MS in Applied Mathematics from UCR. I plan to earn my PhD in June 2018.

Here is my CV.

My main mathematical interests include numerical methods for partial differential equations and stochastic differential equations, and their applications to problems in fluid dynamics and traffic modeling. My undergraduate senior thesis was in the field of numerical relativity, specifically approximating gravitational waveforms from black holes, under the guidance of Professor Jae-Hun Jung. I am currently studying numerical methods for hyperbolic conservations laws, and stochastic differential equations, under the guidance of Professor Yulong Xing. I am also a Graduate Student Reseacher in Economics, under the guidance of Professor Richard Arnott, studying traffic congestion.

- R. Arnott, J. Buli,
*Solving for Equilibrium in the Basic Bathtub Model*, submitted 2017

Code from the paper

- J. Buli, Y. Xing,
*Local discontinuous Galerkin Methods for the Boussinesq Coupled BBM System*,**Journal of Scientific Computing**, DOI 10.1007/s10915-017-0546-0, (2017)

- J. Buli, J.-H. Jung, D. Chakraborty,
*A remark on the multi-domain hybrid method for calculating the power-law decay of the gravitational radiation waveforms with the analytic radiation boundary conditions*,**International Journal of Applied Nonlinear Science**, Vol.1, No.2, pp. 104 - 121, (2014)

Below are the slides for talks I have given.

- Graduate Student Seminar -- University of California, Riverside -- Riverside, CA -- November 4, 2016: Discontinuous Galerkin Method

- 2nd Annual SIAM Central States Section -- University of Arkansas, Little Rock -- Little Rock, AR -- September 30 - October 2, 2016: Coupled BBM System

- Graduate Student Seminar -- University of California, Riverside -- Riverside, CA -- April 1, 2016: Numerical Methods for SODEs

- PDE and Applied Math Seminar -- University of California, Riverside -- Riverside, CA -- June 4, 2014: MDHM for Gravitational Waveforms

Below are conferences and workshops I have attended.

- Institute for Computational and Mathematical Engineering (ICME) Fundamentals of Data Science Summer Workshop -- Stanford University -- Stanford, CA -- August 14-18, 2017

- Frontiers in Applied Mathematics -- Brown University -- Providence, RI -- January 4-6, 2017

- 2nd Annual SIAM Central States Section -- University of Arkansas, Little Rock -- Little Rock, AR -- September 30 - October 2, 2016

At UCR, I have been a teaching assistant for precalculus (MATH 004, 008A, 008B), single variable calculus (MATH 009B, 009C), multivariable calculus (MATH 10B), ordinary differential equations (MATH 046), and partial differential equations (MATH 146A, 146B, and 146C). I have also been the primary instructor for single variable calculus (MATH 009C) and the precalculus practicum (MATH 002). The materials for the above courses can be found below. At the University at Buffalo, SUNY, I was a teaching assistant for MTH 121 - Survey of Calculus and Its Applications for two semesters, and MTH 306 - Introduction to Differential Equations for one semster.

- MATH 009C: MATH 009C - Summer 2017

- Past Course Materials: Past Courses

- Graduate Course Resources: Graduate Course Resources