Assistant Professor

School of Mechanical Engineering, Purdue University

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Ph.D. in Applied Mathematics (June 2011)

Department of Engineering Sciences and Applied Mathematics, Northwestern University

M.S. in Mathematics (May 2007)

Department of Mathematics, Texas A&M University

S.B. in Mathematics (Applied Option) (June 2005)

Department of Mathematics, Massachusetts Institute of Technology

a) Complex and Nonlinear Systems: the study of the mechanics of natural phenomena using advanced mathematical techniques and state-of-the-art computational simulations; in particular: diffusion, mixing and self-organization of granular matter, flow in heterogeneous porous media, multiphase interfacial instabilities, fluid-structure interaction, shock-formation in compressible flows, viscoelastic flows and non-Newtonian rheology, dynamics of coherent structures in nonlinear wave equations, nonlinear Fourier analysis of physical data.

b) Numerical Methods/Analysis: the development of high-performance reliable simulation techniques for real-world applications; in particular: Godunov-type schemes for conservation laws and Hamilton–Jacobi equations, finite-volume methods for reservoir simulation, implicit conservative finite-difference and finite element methods for nonlinear diffusion and nonlinear wave equations.

• h-index: 11 (source: Web of Science^®).
• Citations: 275 (source: Web of Science^®) or 344 (source: personal count excluding self-citations).
• Erdős number: ≤ 4 (source: MathSciNet).
• Google scholar profile: click here.
• ORCiD: 0000-0001-8531-0531.
• ResearcherID: B-9418-2008.
• Scopus Author ID: 23007883200.
• Mathematical Reviews (MR) Author ID: 805473.
• Publons profile: publons.com/a/559425.

• Email:
  
• Snail mail:
  
  School of Mechanical Engineering,
  Purdue University,
  585 Purdue Mall,
  West Lafayette, IN 47907, USA
• Office:
  
  Location: ME 2197
  Phone: +1-765-49-63733