I am a final year PhD at the Department of Mathematics of the National and Kapodistrian University of Athens, under the supervision of Aristeidis Kontogeorgis and Chrysostomos Psaroudakis.
You can contact me at miltoskar@math.uoa.gr
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Research Interests:
I find very interesting the interplay of information-properties between any algebrogeometric object and its (possibly derived) category of any-adjective-will-do.
My research is mostly based on equivariant categories, singularity categories and, lately, descent theory.
Triangulated & Derived Categories
Recollements of (abelian or triangulated) Categories
Representation Theory and Algebraic Geometry
Descent Theory, Equivariant Categories
Stable Infinity Categories and DG-categories
Papers and Preprints:
M. Karakikes, A. Kontogeorgis, C. Psaroudakis: "Equivariant Recollements and Singular Equivalences", arXiv:2504.07620, submitted.
M. Karakikes: "Intoduction to Derived Categories", MSc Thesis.
Conferences & Seminars:
Upcoming:
Interractions between homotopy theory and representation theory, University of Copenhagen, 10-14 November 2025
Ongoing :
Homotopical Algebra, Seminar (weekly) - Model Categories, September - Present, University of Thessaloniki - Online (hybrid).
Algebra & Topology, Seminar (weekly) - Working group on TT - Geometry, September - Present, University of Thessaloniki - Online (hybrid).
Diagram Categories in Homotopy Theory, Seminar (every 2-3 weeks), September 2025 - Present, Online.
Derived and Non Commutative Enthusiasts, Seminar (every 2 weeks), February 2025 - Present, Online.
Sygyzies and Mirror Symmetry Virtual Seminar, Seminar (weekly), January 2025 - Present, Online.
Greek Algebra & Number Theory Seminar , 2021 - Present, Online.
New Directions in Group Theory and Triangulated Categories, 2020 - Present, Online.
Past:
Almost 20 years of derived categories in Milano, September 18-19, 2025, Dipartimento di Matematica - Università di Milano
Summer school in Algebra: classic topics and current trends, June 30 - July 4, 2025, National and Kapodistrian University of Athens.
Higher Algebra and Representation Theory, Seminar (weekly), October 2025 - June, University of Thessaloniki - Online.
Derived Representation Theory and Triangulated Categories, Conference, June 23-27, Aristotle University of Thessaloniki.
10th Greek Algebra and Number Conference, May 23-24, 2025, University of Crete, Heraklion.
Finite Group Schemes, Seminar, January - April, 2025, National and Kapodistrian University of Athens.
Algebra & Geometry Day in Thessaloniki, Wednesday 18 December 2024, Aristotle University of Thessaloniki.
Triangulated Categories in Algebra and Geometry, 23 - 27 September 2024, Charles University and Czech Academy of Sciences, Prague.
Group actions, Geometry and Cohomology, Workshop, Alan Turing Building, University of Manchester, July 10-12, 2024, Manchester.
Second Workshop of Greek Women in Mathematics, July 4-5, 2024, National and Kapodistrian University of Athens.
Third Congress for Young Researchers, May 24-25, 2024, University of Ioannina.
Algebra & Geometry Day in Thessaloniki, Thursday 21 December 2023, Aristotle University of Thessaloniki.
Hecke Algebras and Applications, Conference, July 16-21, 2023, Spetses.
Homological Algebra and Representation theory, Conference, Monday 10 July to Friday 14 July 2023, Karlovasi, Samos.
First Workshop of Greek Women in Mathematics, July 11-12, 2022, National and Kapodistrian University of Athens.
Second Congress of Greek Mathematicians, July 4 - 8, 2022, Athens.
Derived Categories and Hochschild Cohomology, seminar, March-May 2022, University of Thessaloniki - Online.
Geometric Representation Theory, seminar, spring semester 2021, Online.
First Congress of Greek Mathematicians, June 25-30, 20218, Athens.
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