2023
Conference Articles
- Lower Bounds for Sorting 16, 17, and 18 ElementsALENEX 2023, Proceedings, 2023.
Technical Reports
- Complexity of Spherical Equations in Finite Groups2023.
- Geodetic Graphs: Experiments and New Constructions2023.
2022
Journal Articles
- Parallel complexity for nilpotent groupsInternat. J. Algebra Comput.. 32(5):895–928. 2022.
Conference Articles
- The Isomorphism Problem for Plain Groups Is in39th International Symposium on Theoretical Aspects of Computer Science, STACS 2022, March 15-18, 2022, Marseille, France (Virtual Conference), volume 219 of LIPIcs, pages 26:1–26:14. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2022.
- Satisfiability problems for finite groupsICALP 2022, Proceedings, volume 229 of LIPIcs, pages 127:1–127:20. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2022.
- The Power Word Problem in Graph ProductsDevelopments in Language Theory - 26th International Conference, DLT 2022, Proceedings, volume 13257 of Lecture Notes in Computer Science, pages 286–298. Springer, 2022.
- Improved Parallel Algorithms for Generalized Baumslag GroupsLATIN 2022: Theoretical Informatics - 15th Latin American Symposium, Guanajuato, Mexico, November 7-11, 2022, Proceedings, volume 13568 of Lecture Notes in Computer Science, pages 658–675. Springer, 2022.
2021
Conference Articles
- Parallel Algorithms for Power Circuits and the Word Problem of the Baumslag Group46th International Symposium on Mathematical Foundations of Computer Science, MFCS 2021, August 23-27, 2021, Tallinn, Estonia, volume 202 of LIPIcs, pages 74:1–74:24. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2021.
2020
Journal Articles
- QuickXsort: A Fast Sorting Scheme in Theory and PracticeAlgorithmica. 82(3):509–588. 2020.
- Equation satisfiability in solvable groupsarXiv eprints. abs/2010.11788 2020.
- On the Average Case of MergeInsertionTheory Comput. Syst.. 64(7):1197–1224. 2020.
Conference Articles
- An Automaton Group with PSPACE-Complete Word Problem37th International Symposium on Theoretical Aspects of Computer Science, STACS 2020, March 10-13, 2020, Montpellier, France, pages 6:1–6:17. Schloss Dagstuhl – Leibniz-Zentrum für Informatik, 2020.
- Groups with ALOGTIME-Hard Word Problems and PSPACE-Complete Circuit Value Problems35th Computational Complexity Conference, CCC 2020, July 28-31, 2020, Saarbrücken, Germany (Virtual Conference), volume 169 of LIPIcs, pages 29:1–29:29. Schloss Dagstuhl – Leibniz-Zentrum für Informatik, 2020.
- Hardness of Equations over Finite Solvable Groups Under the Exponential Time Hypothesis47th International Colloquium on Automata, Languages, and Programming, ICALP 2020, July 8-11, 2020, Saarbrücken, Germany (Virtual Conference), pages 102:1–102:19. Schloss Dagstuhl – Leibniz-Zentrum für Informatik, 2020.
2019
Journal Articles
- An Automaton Group with PSPACE-Complete Word ProblemArXiv e-prints. abs/1906.03424 2019.
- The Conjugacy Problem in Free Solvable Groups and Wreath Products of Abelian Groups is in TCTheory Comput. Syst.. 63(4):809–832. 2019.
- BlockQuicksort: Avoiding Branch Mispredictions in QuicksortJ. Exp. Algorithmics. 24(1):1.4:1–1.4:22. ACM, 2019.
- Groups with ALOGTIME-hard word problems and PSPACE-complete compressed word problemsarXiv eprints. abs/1909.13781 2019.
Conference Articles
- Worst-Case Efficient Sorting with QuickMergesortProceedings of the Twenty-First Workshop on Algorithm Engineering and Experiments, ALENEX 2019, San Diego, CA, USA, January 7-8, 2019, pages 1–14. SIAM, 2019.
- The Power Word Problem44th International Symposium on Mathematical Foundations of Computer Science, MFCS 2019, Proceedings, volume 138 of LIPIcs, pages 43:1–43:15. Schloss Dagstuhl – Leibniz-Zentrum für Informatik, 2019.
- On the Average Case of MergeInsertionCombinatorial Algorithms - 30th International Workshop, IWOCA 2019, Pisa, Italy, July 23-25, 2019, Proceedings, pages 417–429. 2019.
2018
Journal Articles
- QuickMergesort: Practically Efficient Constant-Factor Optimal SortingarXiv eprints. abs/1804.10062 2018.
- The isomorphism problem for finite extensions of free groups is in PSPACEArXiv e-prints. 2018.
- QuickXsort - A Fast Sorting Scheme in Theory and PracticearXiv eprints. abs/1811.01259 2018.
Conference Articles
- The Isomorphism Problem for Finite Extensions of Free Groups Is In PSPACE45th International Colloquium on Automata, Languages, and Programming, ICALP 2018, July 9-13, 2018, Prague, Czech Republic, pages 139:1–139:14. Schloss Dagstuhl – Leibniz-Zentrum für Informatik, 2018.
Book Chapters
- Log-Space Complexity of the Conjugacy Problem in Wreath ProductsInfinite Group Theory, Chapter 12, pages 215-236. World Scientific, 2018.
2017
Journal Articles
- On the dimension of matrix embeddings of torsion-free nilpotent groupsJ. Algebra. 477:516–539. 2017.
- circuits for algorithmic problems in nilpotent groupsArXiv e-prints. abs/1702.06616 2017.
- Amenability of Schreier graphs and strongly generic algorithms for the conjugacy problemJ. Symb. Comput.. 83:147–165. 2017.
Conference Articles
- The conjugacy problem in free solvable groups and wreath product of abelian groups is inComputer Science - Theory and Applications - 12th International Computer Science Symposium in Russia, CSR 2017, Kazan, Russia, June 8-12, 2017, Proceedings, pages 217–231. 2017.
- TC Circuits for Algorithmic Problems in Nilpotent Groups42nd International Symposium on Mathematical Foundations of Computer Science, MFCS 2017, Proceedings, volume 83 of LIPIcs, pages 23:1–23:14. Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik, 2017.
Book Chapters
- Context-Free Groups and Bass-Serre TheoryAlgorithmic and Geometric Topics Around Free Groups and Automorphisms, Advanced Courses in Mathematics - CRM Barcelona, Birkhäuser, 2017.
2016
Journal Articles
- BlockQuicksort: How Branch Mispredictions don’t affect QuicksortArXiv e-prints. abs/1604.06697 2016.
- Conjugacy in Baumslag’s group, generic case complexity, and division in power circuitsAlgorithmica. 74:961-988. 2016.
- QuickHeapsort: Modifications and Improved AnalysisTheory Comput. Syst.. 59(2):209–230. 2016.
Conference Articles
- BlockQuicksort: Avoiding Branch Mispredictions in Quicksort24th Annual European Symposium on Algorithms, ESA 2016, August 22-24, 2016, Aarhus, Denmark, volume 57 of LIPIcs, pages 38:1–38:16. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2016.
Book Chapters
- A Logspace Solution to the Word and Conjugacy problem of Generalized Baumslag-Solitar GroupsAlgebra and Computer Science, volume 677 of Contemporary Mathematics, pages 185–212. American Mathematical Society, 2016.
2015
Conference Articles
- Amenability of Schreier Graphs and Strongly Generic Algorithms for the Conjugacy ProblemProceedings of the 2015 ACM on International Symposium on Symbolic and Algebraic Computation, ISSAC 2015, Bath, United Kingdom, July 06 - 09, 2015, pages 141–148. 2015.
Theses
- On the Complexity of Conjugacy in Amalgamated Products and HNN ExtensionsDissertation, Institut für Formale Methoden der Informatik, Universität Stuttgart, 2015.
2014
Conference Articles
- Conjugacy in Baumslag’s Group, Generic Case Complexity, and Division in Power CircuitsLatin American Theoretical Informatics Symposium, pages 1-12. 2014.
- QuickXsort: Efficient Sorting with Comparisons on AverageCSR, pages 139-152. 2014.
2013
Journal Articles
- QuickXsort: Efficient Sorting with Comparisons on AverageArXiv e-prints. abs/1307.3033 2013.
- Context-Free Groups and Their Structure TreesInternational Journal of Algebra and Computation. 23:611–642. 2013.
- Context-Free Groups and Bass-Serre TheoryArXiv e-prints. 2013.
Conference Articles
- QuickHeapsort: Modifications and Improved AnalysisComputer Science Symposium in Russia (CSR) 2013, Conference Proceedings, pages 24-35. 2013.
- Weak Heaps and Friends: Recent DevelopmentsCombinatorial Algorithms - 24th International Workshop, IWOCA 2013, Rouen, France, July 10-12, 2013, Revised Selected Papers, pages 1–6. 2013.
2011
Theses
- Eine kombinatorische Charakterisierung kontextfreier GruppenDiplomarbeit Nr. 3075, Fakultät Informatik, 2011.