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Dr. Denys Dutykh

denys@mathstodon.xyz

<p>Applied mathematician at Khalifa University, Abu Dhabi. I work on nonlinear waves, PDEs, scientific computing and mathematical physics. Also exploring Markov numbers and Diophantine questions, and what AI can (and cannot) contribute to mathematical discovery. Here to share research and talk mathematics.</p>

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    Hello Mathstodon! I’m Denys Dutykh, an applied mathematician at Khalifa University in Abu Dhabi. I work on nonlinear waves, PDEs, scientific computing and mathematical physics. Water waves and tsunamis have been a long-standing focus; more recent projects include black holes and Markov numbers. I’m also interested in what AI can contribute to mathematical research, and how we verify the results. I’ll share papers, work in progress and occasional reflections on doing mathematics. I’d be glad t...