Jonas Conneryd

Hi! I recently defended my PhD thesis in theoretical computer science at Lund University. My advisor there was Tatyana Turova. Starting December 2026, I will be a postdoc at University of Oxford hosted by Stanislav Živný and funded by the WASP/KAW International Postdoctoral Scholarship. My research concerns computational complexity theory and proof complexity in particular. I am especially interested in understanding the complexity of (random) constraint satisfaction problems from this and related perspectives.

Education

You can find my CV here.

Papers

AI-Assisted

  • Random ($\log{n}$)-CNF Formulas Are Hard for Depth-$2$ Frege with Modular Gates
    Submitted manuscript, November 2026
    [arXiv][Submission #332 here]

Without AI

Theses

  • On the Algebraic Proof Complexity of Constraint Satisfaction
    PhD thesis, Lund University.
    [full text (without included papers)]

  • Geometric Bounds for Steklov Eigenvalues on Graphs
    Master’s thesis, Stockholm University. Received a Mittag-Leffler Prize from the Stockholm University Department of Mathematics.
    [full text]