Jeroen Zuiddam

Mathematician and computer scientist working as an assistant professor at the Korteweg-de Vries Institute for Mathematics of the University of Amsterdam.

From 2020 to 2021 I was a Simons Junior Fellow at the Courant Institute of Mathematical Sciences of New York University, hosted by Oded Regev. From 2018 to 2020 I was a member in the School of Mathematics at the Institute for Advanced Study in Princeton, hosted by Avi Wigderson. 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 dblp

Contact

Korteweg-de Vries Institute for Mathematics
University of Amsterdam
Science Park 105-107
Amsterdam

jzuiddam at uva dot nl

Jeroen Zuiddam

Research

My research is on various topics in computational complexity theory, quantum information theory and discrete mathematics. A unifying theme in my work is the interaction between amortization, symmetry and approximation. Among the topics that I am particularly interested in are: fast matrix multiplication, Shannon capacity of graphs, the algebraic version of the P versus NP problem, direct sum theorems and Ramsey type problems. I use methods from diverse fields, including representation theory, algebraic geometry, information theory, optimization and real semi-algebraic geometry.

Publications

  • Amortized Circuit Complexity, Formal Complexity Measures, and Catalytic Algorithms eccc
    Robert Robere and Jeroen Zuiddam
    2021
  • Communication Complexity, Corner-Free Sets and the Symmetric Subrank of Tensors arxiv
    Matthias Christandl, Omar Fawzi, Hoang Ta and Jeroen Zuiddam
    2021
  • 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 journal
    Matthias Christandl, Fulvio Gesmundo, Mateusz Michałek and Jeroen Zuiddam
    SIAM Journal on Matrix Analysis and Applications, 2021
  • 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
    Discrete Analysis, to appear
    • Webinar in additive combinatorics, 22 February 2021 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 Zuiddam
    Combinatorica, 2019
  • Universal points in the asymptotic spectrum of tensors arXiv proceedings
    Matthias Christandl, Péter Vrana and Jeroen Zuiddam
    QIP, 2018 slides
    STOC, 2018 slides
    Journal of the AMS, in preparation
  • Tensor rank is not multiplicative under the tensor product arXiv journal
    Matthias Christandl, Asger Kjærulff Jensen and Jeroen Zuiddam
    Linear 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 Zuiddam
    Computational 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 Zuiddam
    Computational complexity, 2018
  • Clean quantum and classical communication protocols arXiv journal
    Harry Buhrman, Matthias Christandl, Christopher Perry and Jeroen Zuiddam
    Physical Review Letters, 2016
  • Nondeterministic quantum communication complexity: the cyclic equality game and iterated matrix multiplication arXiv proceedings
    Harry Buhrman, Matthias Christandl and Jeroen Zuiddam
    ITCS, 2017
  • A note on the gap between rank and border rank arXiv journal
    Jeroen Zuiddam
    Linear Algebra and its Applications, 2017

PhD thesis

Algebraic complexity, asymptotic spectra and entanglement polytopes, University of Amsterdam, October 2018 pdf

Recent 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
  • Hedetniemi's conjecture and the asymptotic spectrum of graphs, CSDM seminar, Institute for Advanced Study, 26 May 2020 slides
  • 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