Jeroen Zuiddam
I am a mathematician and computer scientist working at the Courant Institute of Mathematical Sciences of New York University. I am a Simons Junior Fellow in the Simons Society of Fellows. From 2018 to 2020 I was a member in the School of Mathematics at the Institute for Advanced Study in Princeton.
Until 2018 I worked at CWI, the national research institute for mathematics and computer science in the Netherlands. I received my PhD cum laude from the University of Amsterdam in October 2018.
CV Google Scholar ORCID dblpContact
Courant Institute of Mathematical Sciences New York University 251 Mercer Street New York, N.Y. 10012-1185
jzuiddam at nyu dot edu
Research
My work broadly speaking focuses on algebraic complexity theory, quantum information theory and discrete mathematics. Studying the interaction between asymptotics, symmetry and approximation, I am for example interested in fast matrix multiplication, Shannon capacity and the algebraic version of the P versus NP problem, and I use methods from diverse fields, including representation theory, algebraic geometry, information theory, optimization and real semi-algebraic geometry.
Publications
- Weighted slice rank and a minimax correspondence to Strassen's spectra arxiv Matthias Christandl, Vladimir Lysikov and Jeroen Zuiddam 2020
- Border rank non-additivity for higher order tensors arxiv Matthias Christandl, Fulvio Gesmundo, Mateusz Michałek and Jeroen Zuiddam SIAM Journal on Matrix Analysis and Applications, 2020
- Barriers for rectangular matrix multiplication arXiv eccc Matthias Christandl, François Le Gall, Vladimir Lysikov and Jeroen Zuiddam 2020
- Geometric rank of tensors and subrank of matrix multiplication arXiv eccc proceedings Swastik Kopparty, Guy Moshkovitz and Jeroen Zuiddam CCC, 2020 slides video
- The asymptotic induced matching number of hypergraphs: balanced binary strings arXiv journal Srinivasan Arunachalam, Péter Vrana and Jeroen Zuiddam Electronic Journal of Combinatorics, 2020
- Barriers for fast matrix multiplication from irreversibility arXiv proceedings Matthias Christandl, Péter Vrana and Jeroen Zuiddam CCC, 2019 slides Theory of Computing, 2020
- Quantum asymptotic spectra of graphs and non-commutative graphs, and quantum Shannon capacities arXiv journal Yinan Li and Jeroen Zuiddam IEEE Transactions on Information Theory, 2021
- The asymptotic spectrum of graphs and the Shannon capacity arXiv journal Jeroen ZuiddamCombinatorica, 2019
- Universal points in the asymptotic spectrum of tensors arXiv proceedings Matthias Christandl, Péter Vrana and Jeroen Zuiddam QIP, 2018 slides STOC, 2018 slides
- Tensor rank is not multiplicative under the tensor product arXiv journal Matthias Christandl, Asger Kjærulff Jensen and Jeroen ZuiddamLinear Algebra and its Applications, 2018
- The border support rank of two-by-two matrix multiplication is seven arXiv journal Markus Bläser, Matthias Christandl and Jeroen Zuiddam Chicago Journal of Theoretical Computer Science, 2018
- On algebraic branching programs of small width arXiv eccc proceedings journal Karl Bringmann, Christian Ikenmeyer and Jeroen Zuiddam CCC, 2017 slides Journal of the ACM, 2018
- Asymptotic tensor rank of graph tensors: beyond matrix multiplication arXiv journal Matthias Christandl, Péter Vrana and Jeroen ZuiddamComputational complexity, 2018
- On the orthogonal rank of Cayley graphs and impossibility of quantum round elimination arXiv journal Jop Briët and Jeroen Zuiddam Quantum Information and Computation, 2017
- Tensor surgery and tensor rank arXiv journal Matthias Christandl and Jeroen ZuiddamComputational complexity, 2018
- Clean quantum and classical communication protocols arXiv journal Harry Buhrman, Matthias Christandl, Christopher Perry and Jeroen ZuiddamPhysical Review Letters, 2016
- Nondeterministic quantum communication complexity: the cyclic equality game and iterated matrix multiplication arXiv proceedings Harry Buhrman, Matthias Christandl and Jeroen ZuiddamITCS, 2017
- A note on the gap between rank and border rank arXiv journalJeroen ZuiddamLinear Algebra and its Applications, 2017
PhD thesis
Algebraic complexity, asymptotic spectra and entanglement polytopes, University of Amsterdam, October 2018 pdfRecent Talks
- Tensor Tools for Problems in Combinatorics and Complexity, UCSD Theory seminar, 4 January 2021 seminar website
- Tensor Tools for Problems in Combinatorics and Complexity, 2020 Junior Theorists Workshop, Northwestern University, 17 December 2020 workshop website
- Extremal Combinatorics, Tensor Scaling, Moment Polytopes, From Euclidean to Geodesic Convex Optimization reading group, University of Amsterdam, 2 October 2020 reading group website
- Combinatorics, Tensors and Geometry, Texas A&M University, 5 August 2020
- Geometric Rank of Tensors, Seminar series on recent progress in geometric complexity theory, Chennai Mathematical Institute, 17 June 2020
- Geometric Rank of Tensors, Centrum Wiskunde & Informatica, 13 May 2020 slides
- The asymptotic spectrum of graphs: duality for Shannon capacity, NYU theoretical computer science seminar, 21 May 2019 seminar website
- (1) Asymptotic spectra and (2) Inequalities among symmetric polynomials on the unit cube, Mathematics of Quantum Information Theory workshop, Lorentz center Leiden, 6–10 May 2019 workshop website
- The asymptotic spectrum of graphs: duality for Shannon capacity, Rutgers Discrete Mathematics Seminar, 29 April 2019 seminar website
- The asymptotic spectrum of graphs: duality for Shannon capacity, Princeton discrete mathematics seminar, 7 March 2019 seminar website
- Asymptotic spectra, Complexity Theory workshop, Oberwolfach, November 2018 report
- Asymptotic spectra and applications, CSDM seminar, Institute for Advanced Study, October 2018 (Notes: Part I Part II; Video: Short Part I Part II)
- Asymptotic spectra of tensors and graphs: matrix multiplication exponent and Shannon capacity, Monday Lectures, Facets of complexity, Technische Universität Berlin, 9 July 2018 seminar website
- The asymptotic spectrum of tensors, Dutch Mathematical Congress 2018, Royal Dutch Mathematical Society slides