Research group
Theory of Atoms
led by Prof. Ludmil Katzarkov from the Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences and the University of Miami
In brief:
Theory of atoms was introduced by L. Katzarkov, M. Kontsevich and collaborators in 2017. By now it is clear that the Theory of atoms will lead to major new results in Birational Geometry.
The goals of the Theory of atoms group are:
- Obtain new birational results.
- Explore applications of Theory of atoms to G nonrationality.
- Explore A side applications of Theory of atoms.
Research group chair
Ludmil Katzarkov is a full professor at the University of Miami and the Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences. He is an algebraic geometer known for his fundamental contributions to the topological study of Kaehler spaces, Hodge theory, and mirror symmetry.
He earned his Master’s degree in Mathematics at Moscow University with master thesis supervised by V. Iskovskich. In 1995, he completed his Ph.D. in Mathematics at the University of Pennsylvania with Ph.D. Advisor R. Donagi. Since 2022, Ludmil Katzarkov is a member of the Academia Europaea. In 2024, he was elected Corresponding Member of the Bulgarian Academy of Sciences.
Katzarkov has organized more than 40 conferences, schools, and workshops, and has mentored and attracted many young people to research in geometry, symplectic topology, and mirror symmetry. He was a supervisor of 11 PhD students and supervised at least 30 postdocs.
Team
Leonardo Cavenaghi
Leonardo F. Cavenaghi obtained his Master’s degree in Mathematics at the University of Campinas. In 2020, he completed his PhD in Mathematics at the University of São Paulo. He is a young researcher with extensive international experience, including Post-doctorates at the University of Miami (USA) & the University of Fribourg (Switzerland). He is the winner of the awards for best doctoral thesis defended in 2020: Carlos Gutierrez and CAPES Thesis Award. Leonardo is an expert in Differential and Complex geometry - group actions. A R3 - Established Researcher, he will work on developing of G atoms and CR atoms.
Erik Paemurru
Erik Paemurru obtained his PhD in Algebraic Geometry from Loughborough University. His thesis entitled “Birational models of terminal sextic double solids” was supervised by Dr Hamid Abban. Erik Paemurru was a Postdoctoral Research Associate in Saarland University under the supervision of Prof. Simon Brandhorst. His research interests lie in Birational geometry, more specifically the birational classification of singular Fano 3-folds, singularity theory and computer algebra, often combining all three. A R2 - Recognised researcher, he will study the connection of spectra with Theory of Atoms.
Giovane Galindo
Giovane Galindo completed his Master’s degree at UFPE (Federal university of Pernambuco) and his PhD at UNICAMP (State University of Campinas). He is a young researcher focused on differential geometry with particular interest in the topics of almost-complex geometry, homogeneous spaces, geometric flows and Gromov-Hausdorff distance. Giovane Galindo is an expert on group actions. A R2 - Recognised researcher, he will study the connection of spectra with Theory of Atoms.
Roy Magen
Roy Magen graduated from Columbia University under the leadership of Andrew Blumberg and Aise Johan de Jong. Magen is educated in high category theory. His participation in the research group is supported from the Scientific Programme Enhancing the Research Capacity in Mathematical Sciences (PIKOM), Ministry of Education and Science of Bulgaria. A R2 - Recognised researcher, he will explore the connection of CR atoms with K theoretic and high category invariants.
Contacts
Prof. Ludmil Katzarkov
International Center for Mathematical Sciences – Sofia
Institute of Mathematics and Informatics, BAS
Bulgaria, Sofia, 1113, Acad. George Bonchev str. bl 8
lkatzarkov@gmail.com
