1. Manuscript: Bounded Depth Frege Lower Bounds for Random 3-CNFs via Deterministic Restrictions (with Svyatoslav Gryaznov)
2. Publication: Local Enumeration: the Not-All-Equal Case, STACS 2025
3. Publication: Local Enumeration and Majority Lower Bounds, CCC 2024
4. Publication: On the Extension Complexity of Polytopes Separating Subsets of the Boolean Cube, Discrete and Computational Geometry
5. Publication: Linear Branching Programs and Directional Affine Extractors, CCC 2022
6. Publication: A Variant of the VC-Dimension with Applications to Depth-3 Circuits, ITCS 2022
7. Publication: A Separator Theorem for Hypergraphs and a CSP-SAT Algorithm, Logical Methods in Computer Science, 2021
8. Publication: Super Strong ETH is True for PPSZ with Small Resolution Width, CCC 2020
9. Publication: Cops-Robber Games and the Resolution of Tseitin Formulas, ACM Transactions on Computation Theory, 2020
10. Publication: Prediction from Partial Information and Hindsight, An Alternative Proof, Information Processing Letters, 2018
11. Publication: Strong ETH and Resolution via Games and the Multiplicity of Strategies, Algorithmica, 2017
12. Publication: Tighter Hard Instances for PPSZ, ICALP 2017
13. Publication: On the Structure and the Number of Prime Implicants of 2-CNFs, Discrete Applied Mathematics, 2016
14. Publication: Improving resolution width lower bounds for k-CNFs with applications to the Strong Exponential Time Hypothesis, Information Processing Letters, 2016
15. Publication: Circuit Complexity of Properties of Graphs with Constant Planar Cutwidth, MFCS 2014
16. Publication: Exponential Lower Bounds for PPSZ k-SAT Algorithm, SODA 2013
Research Experience
1. Lecturer for Advanced Algorithms at the University of Sheffield (Autumn 2024)
2. Lecturer for Automata, Computation and Complexity at the University of Sheffield (Autumn 2023)
3. Lecturer for Boolean Function Complexity at Charles University (Autumn 2022)
4. Lecturer for Randomness and computation at Charles University (Spring 2022)
5. Co-taught Selected topics in computational complexity: mathematical tools at Charles University (2021, with Pavel Hrubeš and Pavel Pudlák)
6. Co-organizer of Complexity Theory with a Human Face workshops (June 2022, October 2021, and earlier)
Background
Research interests: combinatorics of complexity theory, satisfiability, exponential time, etc. Currently a Lecturer in Algorithms at the Department of Computer Science, University of Sheffield.