Mark Pankov

Master Degree in Math(1994), PhD(1999), D.Sc.(2009), dr.hab (2011)

My Location

About me

Books

• Wigner-type theorems for Hilbert Grassmannians,
  London Mathematical Society Lecture Note Series,
  Cambridge University Press 2020.
  
  Some remarks and corrections

• Geometry of semilinear embeddings:Relations to graphs and codes, World Scientific 2015.
  
  This book is dedicated to the memory of my teacher Vladimir Sharko (25.09.1949-7.10.2014).

• Grassmannians of classical buildings, World Scientific 2010.
  

Full list of publications

Research interests

Combinatorial approach to preserver problems related to Quantum Mechanics. Wigner's type theorems wiki.
See Wigner-type theorems for Hilbert Grassmannians.


Recent publications:

• with Krzysztof Petelczyc and Mariusz Zynel,
  Automorphisms of graphs corresponding to conjugacy classes of finite-rank self-adjoint operators,
  Linear Algebra and its Applications 674(2023), 192-207.
  

• Commutativity preserving transformations on conjugacy classes of compact self-adjoint operators,
  Linear Algebra and its Applications 649 (2022), 390-407.
  

• with Thomas Vetterlein,
  A geometric approach to Wigner-type theorems,
  Bulletin of the London Mathematical Society, 53(2021), 1653-1662.

Geometry of Linear Codes.
Non-degenerate linear codes form interesting subsets in Grassmannians over finite fields.

Selected publications:

• with Krzysztof Petelczyc and Mariusz Zynel,
  Point-line geometries related to binary equidistant codes,
  Journal of Combinatorial Theory, Series A, 210(2025) 105962.
  

• The graphs of non-degenerate linear codes,
  Journal of Combinatorial Theory, Series A 195(2023), 105720.
  

• with Mariusz Kwiatkowski and Antonio Pasini,
  The graphs of projective codes,
  Finite Fields and Their Applications 54(2018), 15-29.

• with Mariusz Kwiatkowski,
  On the distance between linear codes,
  Finite Fields and Their Applications 39(2016), 251-263.

Zigzags in triangulations, embedded graphs and complices .
I was inspired by Michel Deza.

Selected publications:

• with Adam Tyc,
  Z-knotted triangulations of surfaces,
  Discrete & Computational Geometry 66(2021), 636-658.

• with Michel Deza,
  Zigzag structure of thin chamber complexes,
  Discrete & Computational Geometry 59(2018),363-382.

Incidence geometries related to buildings

Selected publications:

• with Mariusz Kwiatkowski,
  Isometric embeddings of polar Grassmannians and metric characterizations of their apartments,
  Journal of Algebraic Combinatorics 45(2017), 777-801.

• Isometric embeddings of half-cube graphs in half-spin Grassmannians,
  The Electronic Journal of Combinatorics 21(2014), issue 4, P4.4, 22 pages.

• Metric characterization of apartments in dual polar spaces,
  Journal of Combinatorial Theory (Series A) 118(2011), 1313-1321.

• Isometric embeddings of Johnson graphs in Grassmann graphs,
  Journal of Algebraic Combinatorics 33(2011), 555-570.

Links to my friends

• Michel Deza (Ecole Normale Superieure, Paris)
• Hans Havlicek (TU Wien)
• Antonio Pasini (University of Siena)
• Adam Tyc
• Thomas Vetterlein (Johannes Kepler Universität, Linz)
• Geometry in Bialystok
• Topology in Kiev