معرفی
Gautam Iyer is a Professor in the Department of Mathematical Sciences at Carnegie Mellon University. His research intersects partial differential equations and probability theory, with applications to fluid mechanics, mixing phenomena, and mathematical finance.
- Current research focuses on mixing-diffusion interactions, high-dimensional sampling, and anomalous diffusion in various flow models.
- He has worked on diverse topics including Bose-Einstein condensation, Q-tensor models for liquid crystals, and stochastic-Lagrangian formulations of Navier-Stokes equations.
His recent publications (2023-2025) analyze:
- Dissipation enhancement in cellular flows and advective systems
- Residual diffusivity in Bernoulli map models
- Enhanced mixing in Langevin dynamics and nonlinear PDEs
- Anomalous diffusion in comb-like structures and random flows
Major awards include:
- NSF CAREER Award (2013-18)
- Alfred P. Sloan Research Fellowship (2013-15)
- Simons Fellowship (2016-17)
- NSF RTG Grant (2024-29) and multiple collaborative NSF grants
He has advised students in topics ranging from heat transfer dynamics to financial stochastic calculus, with their work often appearing in journals like SIAM Journal on Mathematical Analysis and Nonlinearity. His teaching spans advanced mathematics courses including Stochastic Calculus, Partial Differential Equations, and Markov Chains.
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