Michael Kompatscher



Address:
KA MFF UK
Sokolovská 83
18675 Praha 8
Czech Republic

Room: K313 on the 3rd floor

Email: kompatscher@karlin.mff.cuni.cz, (michael@logic.at)

ResearchGate: Michael Kompatscher
OrcID: 0000-0002-0163-6604



About me

I am an assistant professor at the Department of Algebra of Charles University in Prague. In my research I mainly focus on universal algebra and its applications in theoretical computer science.

I am the principal investigator of the Primus project 24/SCI/008 The subpower membership problem for algebras with cube term. Currently the project employs Stefano Fioravanti; it will further be joined by Bernardo Rossi and Albert Vucaj.

I finished my PhD in 2017 at TU Wien under the supervision of Michael Pinsker, for my academic family tree, see here. I have also been a postdoctorial reseacher at the University of Oxford (project PowAlgDO of Standa Živný) and at Charles University (projects CoCoSym by Libor Barto and PRIMUS/ SCI/12 of Alex Kazda).


News / upcoming talks


Teaching

In summer semester 2024 I am teaching In winter semester 2023/24 I was teaching

For information about past teaching see here.


Publications

Preprints

In Journals

In Proceedings

Theses

Talks

2024/02Difference clonoids and their applications at AAA104 in Blagoevgrad, Bulgaria - [slides]
2023/11! Short pp-definitions in the Projektseminar für FWF P33878: Gleichungen in der universellen Algebra.
(blackboard talk)
2023/09 Short pp-definitions at CWC2023 at Weissensee, Austria - [slides]
2023/08 Short definitions in constraint languages at MFCS23, Bordeaux, France - [slides]
2023/07 Algebras with short pp-definitions at TCA2023, Pocinho, Portugal - [slides]
2023/06 Short pp-definitions for algebras with few subpowers at AAA93, Tartu, Estonia - [slides]
2023/03 Introduction of the new assistant professors of the School of Mathematics - [slides]
2021/06 Finitely based 2-nilpotent Maltsev algebras at AAA102, University of Szeged - [slides]
2021/05 ! Finitely tractable PCSPs at The Constraint Satisfaction Problem: Complexity and Approximability
at Schloss Dagstuhl – Leibniz-Zentrum für Informatik - [slides]
2021/11 G-terms and the local-global property, at the PALS online seminar - [slides]
2021/10 Solving equations: a computational perspective at the Algebra Colloquium of the Department of Algebra, Charles University.
2021/02 Failure of local-to-global at AAA100 in Krakow (online) - [slides]
2020/11 CEQV and CSAT for nilpotent Maltsev algebras, at the Panglobal Algbra and Logic Seminar of CU Boulder - [slides]
2020/03 The complexity of solving equations, SIAM Chapters seminar Prague
2020/02 ! CC-Circuits and the expressive power of nilpotent algebras, AAA99, Siena - [slides]
2020/01 ! CC-Circuits and the expressive power of nilpotent algebras, Birkhoff Seminar, CU Boulder - [slides]
2020/01 Topology is relevant (in discussing the complexity of omega-categorical CSPs), Joint Mathematics Meetings, AMS Session on Algebra and Algebraic Geometry, Denver - [slides]
2019/11 Computational problems over nilpotent algebras (from modular varieties), Seminar of Algebra and Discrete Mathematics, JKU Linz
2019/09 CC-circuits and the expressive power of nilpotent algebras, SSAOS2019, Karolinka, Czech Republic - [slides]
2019/06 The equivalence problem for nilpotent algebras, AAA98, TU Dresden - [slides]
2019/06 Checking commutator identities in finite groups, SANDGAL2019, Cremona - [slides]
2019/05 The equivalence problem for nilpotent algebras, BLAST2019, Boulder - [slides] (see AAA98 for corrected version)
2019/03 Solving equations in finite groups extended by their commutator, at AAA97, TU Wien - [slides]
2018/06 ! Nilpotency and the complexity of the equation solvability problem, at the First Algebra Week, University of Siena.
2018/06 ! The Equivalence of Two Dichotomy Conjectures for Infinite Domain CSPs, at The Constraint Satisfaction Problem: Complexity and Approximability, Schloss Dagstuhl – Leibniz-Zentrum für Informatik
2018/05 The complexity of solving equations and checking identities, at the International Seminar of the Institute for Algebra of TU Dresden
2018/03 ! CSPs of infinite structures and equations in oligomorphic clones, in the Theoretical Computer Science Seminar of Jagiellonian University in Krakow.
2018/03 The equation solvability problem, at the Algebra Seminar of TU Wien.
2018/02 Equation solving over supernilpotent Mal'cev algebras is tractable at AAA95 in Bratislava - [slides]
2017/12 Equation solvability in supernilpotent Mal'cev algebras, in the KAFKA Seminar
2017/07 ! Oligomorphic clones - tutorial with Michael Pinsker, Tianfu Universal Algebra workshop, SWUFE Chengdu, China
2017/06 Linearization of certain non-trivial equations in oligomorphic clones
at AAA94+NSAC2017, University of Novi Sad - [slides]
2017/05 Completing edge-labelled graphs to metric spaces - AGDM Seminar, Wien - [slides]
2017/05 Cores of omega-categorical structures - in the Algebra Seminar of TU Wien
2017/03 A complexity dichotomy for poset constraint satisfaction - STACS2017, Hannover - [slides]
2017/02 A new proof of the existence of cores of ⍵-categorical structures - AAA93, FH Bern - [slides]
2017/01 The two dichotomy conjectures for infinite domain CSPs - Theory and Logic Seminar of TU Wien
2016/11 An introduction to Ramsey theory, at the Fall school of the Algebra department of Charles University - [slides]
2016/08 Constraint satisfaction problems over the random poset, at the Logic Colloquium 2016, Leeds
2016/05 CSPs over the random partial order, at AAA92 in Prague - [slides]
2016/04 Constraint satisfaction problems over infinite domains
with Trung Van Pham, in the Theory and Logic Seminar of TU Wien - [slides]
2016/04 A complexity dichotomy for Poset-SAT in the Algebra Seminar of TU Wien - [slides]
2016/02 2 many maximal-closed subgroups of Sym(⍵) via Henson digraphs
at New Pathways between Group Theory and Model Theory in Mülheim an der Ruhr - [slides]
2015/12 Maximal subgroups of Sym(⍵) via Henson digraphs
in the KAFKA Seminar, Charles-University Prague - [slides]
2015/11 ! A counterexample on the reconstruction of oligomorphic clones
at the workshop Homogeneous structures at BIRS, Banff - [video]
2015/10 ! Algebraic methods in constraint satisfaction at Matej Bel University, Banská Bystrica
2015/10 Reducts of Henson digraphs in the Wiener Algebra Seminar of TU Wien
2015/06 Endomorphism monoids of ⍵-categorical structures at TACL 2015, Ischia, Italy - [slides]
2015/05 Dichotomy results for constraint satisfaction problems at PhDs in Logic VII, TU Wien - [slides]
2015/04 Reconstruction of ⍵-categorical structures in the KAFKA Seminar, Charles-University Prague
2015/04 ! Endomorphism monoids of ⍵-categorical structures in the International Seminar of the Institut für Algebra, TU Dresden - [slides]
2014/10 Definierbare Strukturen in the Algebra Seminar of TU Wien

!... invited talks/invitational events

Other conferences and workshops