John Zweck

Professor New York Institute of Technology Department of Mathematics 1855 Broadway New York, NY 10023 Office: 61 W 61st Street, Room 1019 jzweck 'at' nyit 'dot' edu Ph. D., Mathematics, Rice University, 1993 B.Sc. (Honours), Mathematical Sciences, University of Adelaide, Australia, 1988 Brief Bio CV [pdf] Google Scholar Page ORCID LinkedIn UT Dallas President's Teaching Excellence Award, 2022 University of Texas Regents Outstanding Teaching Award, 2023 Math Professor Earns Regents' Outstanding Teaching Award

Teaching

• Vector Calculus
• PDE's
• Matrix Analysis
• Measure Theory
• 3D Printed Models for Multivariable Calculus

Research

Specific research areas:

• Nonlinear waves and nonlinear optics
• Modeling, analysis, and simulation of engineering systems and devices
  • Short-pulse mode-locked fiber lasers: Pulse dynamics, stability, noise modeling, numerical optimization, spectral and functional analysis, evolution semigroups
  • Photoacoustic trace gas sensors: Multi-physics PDE-based models, analytical and  nite-element solutions, model validation via laboratory experiments
  • Plasma processing systems: Boltzmann equation, deterministic spectral methods and stochastic particle methods for modeling of rare events
  • Optical fiber communications systems: Numerical methods for nonlinear Schrodinger equations, advanced Monte Carlo methods for the simulation of rare events, numerical optimization, PhoSSiL: Photonics Systems Simulator C++ Library, model validation via laboratory experiments
  • High performance parallel scientific computing
• Applications of differential geometry

Current and Recent Projects:

• Stability of solutions to nonlinear wave equations. Joint with Yuri Latushkin (U. of Missouri) and my former PhD student Erika Gallo, now at UT Arlington. This work was supported by an NSF Applied Mathematics Award #2106203 (2021-2024). We have also worked on this project with Chris Jones (UNC) and Jeremy Marzuola (UNC).
  
  
• Modeling and analysis of nonlinear effects in novel waveguides structures. Joint work with Alejandro Aceves (SMU), Ross Parker (SMU), and Yannan Shen (U. Kansas).
  
  
• Modeling of short pulse laser systems. Joint work with Curtis Menyuk (CSEE, UMBC), Soham Sarkar (PhD student, UT Dallas), former PhD student Vrushaly Shinglot, and Yannan Shen (U. Kansas).
  
  
• Mathematical modeling of plasmas. Joint work with Matthew Goeckner (Physics, UTD). We jointly advised Mathematics PhD students Yanping Chen and Sonam Lama, and several UTD physics undergraduates.
  
  
• Wind Turbine Surrogate Modeling for Leading Edge Erosion Detection. Joint work with Aidan Gettemy (PhD student UT Dallas), Sue Minkoff (Brookhaven National Lab), Todd Griffith and Ipsita Mishra (Mech Eng, UT Dallas), and Elaine Spiller (Marquette).
  
  
• Computational modeling of quartz-enhanced photoacoustic spectroscopy (QEPAS) sensors. Joint work with Sue Minkoff (Brookhaven National Lab) and former Ph.D. student Ali Mozumder. We have collaborated with Rob Kirby (Math, Baylor). This work was supported by an NSF Computational Mathematics award (2016-2019). We modeled the QEPAS sensors developed in Frank Tittel's Laser Science Group at Rice University, with whom we have collaborated. From 2006-2012, this project was sponsored by the NSF Engineering Research Center on Mid-InfraRed Technologies for Health and the Environment (MIRTHE). Sue Minkoff and I jointly advised Artur Safin and Noemi Petra who did Ph.D. theses on QEPAS.
  
  
• NSF EDT: Team Training Mathematical Scientists Through Industrial Collaborations [2015-2018]