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    <title>Welcome! on Joan Bruna</title>
    <link>https://cims.nyu.edu/~bruna/</link>
    <description>Recent content in Welcome! on Joan Bruna</description>
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    <language>en</language>
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    <item>
      <title>Bio</title>
      <link>https://cims.nyu.edu/~bruna/bio/</link>
      <pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate>
      <guid>https://cims.nyu.edu/~bruna/bio/</guid>
      <description>&lt;p&gt;Joan Bruna is a Full Professor of Computer Science, Data Science and Mathematics (affiliated), at the Courant Institute and the Center of Data Science, New York University (NYU). He is also a visiting Scholar at the Flatiron Institute (part of the Simons Foundation), at the Center for Computational Mathematics.&#xA;His research interests focus on the mathematical foundations of Machine Learning, as well as their applications to problems in computational science. For his research contributions, he has been awarded a Sloan Research Fellowship, the NSF Career award, and several best paper awards.&lt;/p&gt;</description>
    </item>
    <item>
      <title>Book</title>
      <link>https://cims.nyu.edu/~bruna/book/</link>
      <pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate>
      <guid>https://cims.nyu.edu/~bruna/book/</guid>
      <description>&lt;p&gt;&lt;em&gt;Geometric Deep Learning&lt;/em&gt;, with M. Bronstein, T. Cohen and P. Velickovic, MIT Press, 2023. &lt;a href=&#34;https://arxiv.org/abs/2104.13478&#34;&gt;v0 Draft&lt;/a&gt;&lt;/p&gt;</description>
    </item>
    <item>
      <title>Group</title>
      <link>https://cims.nyu.edu/~bruna/group/</link>
      <pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate>
      <guid>https://cims.nyu.edu/~bruna/group/</guid>
      <description>&lt;h3 id=&#34;phds&#34;&gt;PhDs&lt;/h3&gt;&#xA;&lt;ul&gt;&#xA;&lt;li&gt;&lt;a href=&#34;https://noahamsel.github.io&#34;&gt;Noah Amsel&lt;/a&gt; (Sep 2022-, joint with Chris Musco)&lt;/li&gt;&#xA;&lt;li&gt;Evan Dogariu (Sep 2024- )&lt;/li&gt;&#xA;&lt;li&gt;Qi Liu (Sep 2025-)&lt;/li&gt;&#xA;&lt;/ul&gt;&#xA;&lt;h3 id=&#34;postdocs-fellows&#34;&gt;Postdocs/ Fellows&lt;/h3&gt;&#xA;&lt;ul&gt;&#xA;&lt;li&gt;&lt;a href=&#34;https://sites.google.com/view/gyehudai/home&#34;&gt;Gilad Yehudai&lt;/a&gt; (2024 - )&lt;/li&gt;&#xA;&lt;/ul&gt;&#xA;&lt;h3 id=&#34;alumni&#34;&gt;Alumni&lt;/h3&gt;&#xA;&lt;ul&gt;&#xA;&lt;li&gt;&lt;a href=&#34;https://chris-pedersen.github.io/&#34;&gt;Chris Pedersen&lt;/a&gt; (Sep 2022 - Feb 2025, part of M2Lines)&lt;/li&gt;&#xA;&lt;li&gt;&lt;a href=&#34;https://www.karlotness.com/&#34;&gt;Karl Otness&lt;/a&gt; (Sept 2019 - 2025, joint with Ben Peherstofer )&lt;/li&gt;&#xA;&lt;li&gt;&lt;a href=&#34;https://leichen2018.github.io/&#34;&gt;Lei Chen&lt;/a&gt; (Sept 2020 -2025 ) Two Sigma&lt;/li&gt;&#xA;&lt;li&gt;&lt;a href=&#34;https://cims.nyu.edu/~cd2754/&#34;&gt;Carles Domingo&lt;/a&gt; (Sept 2019 -2024 ) MSR Cambridge&lt;/li&gt;&#xA;&lt;li&gt;&lt;a href=&#34;https://aaronzweig.github.io/&#34;&gt;Aaron Zweig&lt;/a&gt; (Sept 2018 - 2023) Postdoc Columbia&lt;/li&gt;&#xA;&lt;li&gt;&lt;a href=&#34;https://davidbrandfonbrener.github.io/&#34;&gt;David Brandfonbrener&lt;/a&gt; (Sept 2018 - 2023) Meta&lt;/li&gt;&#xA;&lt;li&gt;&lt;a href=&#34;https://sjelassi.github.io&#34;&gt;Samy Jelassi&lt;/a&gt; (2018 -2023, Princeton ORFE ) Harvard Kempner&lt;/li&gt;&#xA;&lt;li&gt;&lt;a href=&#34;https://mjsong32.github.io/&#34;&gt;Min Jae Song&lt;/a&gt; (2018 -2023, joint with Oded Regev ) UW&lt;/li&gt;&#xA;&lt;li&gt;&lt;a href=&#34;https://cims.nyu.edu/~chenzh/index.html&#34;&gt;Zhengdao Chen&lt;/a&gt; (Sept 2018 - Sep 2022) Google&lt;/li&gt;&#xA;&lt;li&gt;&lt;a href=&#34;http://alberto.bietti.me&#34;&gt;Alberto Bietti&lt;/a&gt; (Sep 2020-Sep 2022) Flatiron Institute&lt;/li&gt;&#xA;&lt;li&gt;&lt;a href=&#34;http://cinjon.com/&#34;&gt;Cinjon Resnick&lt;/a&gt; (Sep 2017 - June 2022, joint with Kyunghyun Cho )&lt;/li&gt;&#xA;&lt;li&gt;&lt;a href=&#34;https://scholar.google.co.il/citations?user=mgVLJ8MAAAAJ&amp;amp;hl=en&#34;&gt;Yossi Arjevani&lt;/a&gt; (Sept 2019 - Sep 2021, HUJI Assistant Professor )&lt;/li&gt;&#xA;&lt;li&gt;&lt;a href=&#34;https://www.fwilliams.info/&#34;&gt;Francis Williams&lt;/a&gt; (Sept 2018 -Aug 2021, joint with Denis Zorin, Nvidia  )&lt;/li&gt;&#xA;&lt;li&gt;&lt;a href=&#34;https://cims.nyu.edu/~venturi/&#34;&gt;Luca Venturi&lt;/a&gt; (Sept 2017 - Aug 2021, Meta Research Scientist)&lt;/li&gt;&#xA;&lt;li&gt;&lt;a href=&#34;https://www.linkedin.com/in/arthur-mensch-2534b362/?locale=en_US&#34;&gt;Arthur Mensch&lt;/a&gt; (Visiting Postdoc, 2019)&lt;/li&gt;&#xA;&lt;li&gt;&lt;a href=&#34;https://tommoral.github.io/about.html&#34;&gt;Thomas Moreau&lt;/a&gt; (2017, Visiting Postdoc)&lt;/li&gt;&#xA;&lt;li&gt;Alex Nowak (PhD Student, INRIA Paris)&lt;/li&gt;&#xA;&lt;li&gt;Lisha Li (Rosebud AI, CEO)&lt;/li&gt;&#xA;&lt;li&gt;&lt;a href=&#34;https://www.matthewtrager.com&#34;&gt;Matthew Trager&lt;/a&gt; (Amazon AI)&lt;/li&gt;&#xA;&lt;li&gt;Pau Riba (PhD Student, Caltech)&lt;/li&gt;&#xA;&lt;li&gt;Victor Garcia (PhD Student, Amsterdam)&lt;/li&gt;&#xA;&lt;li&gt;Gaspar Rochette (PhD Student, ENS Ulm)&lt;/li&gt;&#xA;&lt;li&gt;David Folque (MsC Student, London)&lt;/li&gt;&#xA;&lt;li&gt;Loucas Pillaud-Vivien (Sep 2022-2024, part of NSF-MoDL)&lt;/li&gt;&#xA;&lt;li&gt;Cedric Gebrelot (Sep 2022-2024, part of NSF-MoDL)&lt;/li&gt;&#xA;&lt;/ul&gt;&#xA;&lt;h2 id=&#34;sponsors&#34;&gt;Sponsors&lt;/h2&gt;&#xA;&lt;p&gt;I am thankful for the generous financial support of the following institutions:&lt;/p&gt;</description>
    </item>
    <item>
      <title>Prospective Students</title>
      <link>https://cims.nyu.edu/~bruna/prospective/</link>
      <pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate>
      <guid>https://cims.nyu.edu/~bruna/prospective/</guid>
      <description>&lt;p&gt;&lt;em&gt;For Prospective PhD Students&lt;/em&gt;: I currently advise students through either Computer Science (Courant Institute, CILVR Group), Data Science (Center for Data Science, MaD group) and Mathematics (Courant Institute). Check out the respective programs and apply to whichever fits better with your profile. &lt;strong&gt;Admissions are made at a department level by appointed committees&lt;/strong&gt;.&lt;/p&gt;&#xA;&lt;p&gt;&lt;em&gt;For Prospective MsC/Undergrads seeking Internships&lt;/em&gt;: Unfortunately I cannot address all the requests I receive, but if you think you have a compelling story, with concrete links to my previous or current research, please reach out!&lt;/p&gt;</description>
    </item>
    <item>
      <title>Publications</title>
      <link>https://cims.nyu.edu/~bruna/publications/</link>
      <pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate>
      <guid>https://cims.nyu.edu/~bruna/publications/</guid>
      <description>&lt;h2 id=&#34;google-scholar-profilehttpsscholargooglecomcitationshlenuserl4bnmsmaaaajview_oplist_workssortbypubdate&#34;&gt;&lt;a href=&#34;https://scholar.google.com/citations?hl=en&amp;amp;user=L4bNmsMAAAAJ&amp;amp;view_op=list_works&amp;amp;sortby=pubdate&#34;&gt;Google Scholar Profile&lt;/a&gt;&lt;/h2&gt;&#xA;&lt;ul&gt;&#xA;&lt;li&gt;&#xA;&lt;p&gt;Emergence of Linear Truth Encodings in Language Models, with Gilad Yehudai, Tal Linzen, Alberto Bietti and Shauli Ravfogel, &lt;strong&gt;Neurips 25&lt;/strong&gt;.&lt;/p&gt;&#xA;&lt;/li&gt;&#xA;&lt;li&gt;&#xA;&lt;p&gt;Axial Neural Networks for Dimension-Free Foundation Models, with Hyunsu Kim, J. Park, H. Yang and J. Lee, &lt;strong&gt;NeurIPS 25 (Spotlight)&lt;/strong&gt;.&lt;/p&gt;&#xA;&lt;/li&gt;&#xA;&lt;li&gt;&#xA;&lt;p&gt;&lt;a href=&#34;https://arxiv.org/abs/2506.05500&#34;&gt;The Generative Leap: Sharp Sample Complexity for Efficiently Learning Gaussian Multi-Index Models&lt;/a&gt;, with Alex Damian and Jason Lee, &lt;strong&gt;NeurIPS 25 (Spotlight)&lt;/strong&gt;.&lt;/p&gt;&#xA;&lt;/li&gt;&#xA;&lt;li&gt;&#xA;&lt;p&gt;&lt;a href=&#34;https://arxiv.org/abs/2503.01544&#34;&gt;Compositional Reasoning with Transformers, Rnns, and Chain of Thought&lt;/a&gt;, with N. Amsel and G. Yehudai, &lt;strong&gt;NeurIPS 25&lt;/strong&gt;.&lt;/p&gt;</description>
    </item>
    <item>
      <title>Talks</title>
      <link>https://cims.nyu.edu/~bruna/talks/</link>
      <pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate>
      <guid>https://cims.nyu.edu/~bruna/talks/</guid>
      <description>&lt;ul&gt;&#xA;&lt;li&gt;&#xA;&lt;p&gt;&lt;strong&gt;MSRI Summer School, Mathematics of Deep Learning&lt;/strong&gt;, Aug 19, Seattle, &lt;a href=&#34;https://www.youtube.com/watch?v=ImQ0YHryxfg&amp;amp;feature=youtu.be&#34;&gt;part1&lt;/a&gt; &lt;a href=&#34;https://www.youtube.com/watch?v=8P6FLdNh7xo&amp;amp;list=PLTPQEx-31JXhguCush5J7OGnEORofoCW9&amp;amp;index=19&#34;&gt;part2&lt;/a&gt; &lt;a href=&#34;https://www.youtube.com/watch?v=iJGq-vcETUQ&amp;amp;list=PLTPQEx-31JXhguCush5J7OGnEORofoCW9&amp;amp;index=20&#34;&gt;part3&lt;/a&gt; &lt;a href=&#34;https://www.youtube.com/watch?v=7TXaQz6jSuM&amp;amp;list=PLTPQEx-31JXhguCush5J7OGnEORofoCW9&amp;amp;index=23&#34;&gt;part4&lt;/a&gt; &lt;a href=&#34;https://www.youtube.com/watch?v=00c168rl-TA&amp;amp;list=PLTPQEx-31JXhguCush5J7OGnEORofoCW9&amp;amp;index=24&#34;&gt;part5&lt;/a&gt;&lt;/p&gt;&#xA;&lt;/li&gt;&#xA;&lt;li&gt;&#xA;&lt;p&gt;&lt;strong&gt;MiFods workshop on Deep Learning and Nonconvex Optimization&lt;/strong&gt;, Jan 19, MIT, &lt;a href=&#34;https://www.youtube.com/watch?v=Zxky2vSxrcI&amp;amp;list=PLpuGiWaHpPC2LBwHTYZM4Z48WeLVnTTko&amp;amp;index=7&amp;amp;t=911s&#34;&gt;video&lt;/a&gt;&lt;/p&gt;&#xA;&lt;/li&gt;&#xA;&lt;/ul&gt;</description>
    </item>
    <item>
      <title>Teaching</title>
      <link>https://cims.nyu.edu/~bruna/teaching/</link>
      <pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate>
      <guid>https://cims.nyu.edu/~bruna/teaching/</guid>
      <description>&lt;ul&gt;&#xA;&lt;li&gt;&#xA;&lt;p&gt;Spring 2025, DS-GA-1005, CSCI-GA.2569 (Courant+CDS, NYU), &lt;strong&gt;Inference and Representation&lt;/strong&gt;, &lt;a href=&#34;https://joanbruna.notion.site/ir25&#34;&gt;Course Website&lt;/a&gt;&lt;/p&gt;&#xA;&lt;/li&gt;&#xA;&lt;li&gt;&#xA;&lt;p&gt;Fall 2024, CSCI-UA.473 &lt;strong&gt;Fundamentals of Machine Learning&lt;/strong&gt;&lt;/p&gt;&#xA;&lt;/li&gt;&#xA;&lt;li&gt;&#xA;&lt;p&gt;Spring 2024, CSCI-GA 3033 &lt;strong&gt;Mathematics of Deep Learning&lt;/strong&gt; &lt;a href=&#34;https://joanbruna.notion.site/joanbruna/Mathematics-of-DL-2c72610b1a9c401dbf624b3355fa0f2d&#34;&gt;Course Website&lt;/a&gt;&lt;/p&gt;&#xA;&lt;/li&gt;&#xA;&lt;li&gt;&#xA;&lt;p&gt;Fall 2022, DS-GA-1005, CSCI-GA.2569 (Courant+CDS, NYU), &lt;strong&gt;Inference and Representation&lt;/strong&gt;, &lt;a href=&#34;https://ballistic-fender-541.notion.site/IR22-7a52d1b1030f44b5af788191a3ddb27c&#34;&gt;Course Website&lt;/a&gt;&lt;/p&gt;&#xA;&lt;/li&gt;&#xA;&lt;li&gt;&#xA;&lt;p&gt;Spring 2022, CSCI-GA.3033 &lt;strong&gt;Mathematics of Deep Learning&lt;/strong&gt; &lt;a href=&#34;https://ballistic-fender-541.notion.site/Mathematics-of-Deep-Learning-Spring-22-1fbb28cb14ea4c8caf3e30c1d7e15381&#34;&gt;Course Website&lt;/a&gt;&lt;/p&gt;&#xA;&lt;/li&gt;&#xA;&lt;li&gt;&#xA;&lt;p&gt;Fall 2021, &lt;strong&gt;Deep Learning&lt;/strong&gt; &lt;a href=&#34;https://bubbly-methane-e7a.notion.site/Deep-Learning-Fall-21-6dbea69b29994c4e88cd12a494e6b01f&#34;&gt;Course Website&lt;/a&gt;&lt;/p&gt;&#xA;&lt;/li&gt;&#xA;&lt;li&gt;&#xA;&lt;p&gt;Spring 2021, CSCI-GA.3033 &lt;strong&gt;Mathematics of Deep Learning&lt;/strong&gt; &lt;a href=&#34;https://www.notion.so/Math-of-DL-Spring-21-05cd9255f03842489083ec7cbb6338d5&#34;&gt;Course Website&lt;/a&gt;&lt;/p&gt;&#xA;&lt;/li&gt;&#xA;&lt;li&gt;&#xA;&lt;p&gt;Fall 2020, DS-GA-1005, CSCI-GA.2569 (Courant+CDS, NYU), &lt;strong&gt;Inference and Representation&lt;/strong&gt;, &lt;a href=&#34;https://www.notion.so/Inference-and-Representation-623a215febc3461dbc004682484922ad&#34;&gt;Course Website&lt;/a&gt;&lt;/p&gt;&#xA;&lt;/li&gt;&#xA;&lt;li&gt;&#xA;&lt;p&gt;Spring 2020, CSCI-GA.3033 (Courant+CDS, NYU): &lt;strong&gt;Mathematics of Deep Learning&lt;/strong&gt;  &lt;a href=&#34;http://mathsdl-spring20.willwhitney.com/&#34;&gt;Course Website&lt;/a&gt;&lt;/p&gt;</description>
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