nLab Artan Sheshmani

Artan Sheshmani is a professor of mathematics at Tsinghua, HSE and MIT IAiFi.

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Selected works

Algebraic geometry and mathematical physics

• Artan Sheshmani, Hilbert Schemes, Donaldson-Thomas theory, Vafa-Witten and Seiberg-Witten theories, Notices of the International Congress of Chines Mathematics (2019) (j.mp:2U7qd01, pdf)

Derived geometry of PDEs

• Jacob Kryczka, Artan Sheshmani, Shing-Tung Yau, Derived moduli spaces of non-linear PDEs I: singular propagations, arXiv:2312.05226
• Jacob Kryczka, Artan Sheshmani, Shing-Tung Yau, Derived moduli spaces of non-linear PDEs II: variational tricomplex and BV formalism, arXiv:2406.16825

Machine learning

• Artan Sheshmani, Yi-zhuang You, Categorical representation learning: morphism is all you need, Machine Learning: Science and Technology 3:1 (2021) 16 pages arXiv:2103.14770 doi
• Artan Sheshmani, Yi-zhuang You, Wenbo Fu, Ahmadreza Azizi, Categorical representation learning and RG flow operators for algorithmic classifiers, 31 pages, Machine Learning: Science and Technology 4, 015012 (2023) 31 pages arXiv:2203.07975 doi
• Artan Sheshmani, Yizhuang You, Baturalp Buyukates, Amir Ziashahabi, Salman Avestimehr, Renormalization group flow, optimal transport and diffusion-based generative model, arXiv:2402.17090

category: people