Karoly Bezdek, CRC (Tier 1), Professor

Prof. Karoly Bezdek

M.Sc., Ph.D., D.Sc., Dr.habil.

Positions

NSERC CRC I in Computational and Discrete Geometry

Faculty of Science, Department of Mathematics and Statistics

Background

Educational Background

Dr.habil. (Doctor of Habilitation) Mathematics, Eotvos Lorand University, Budapest, Hungary, 1997

D.Sc. (Doctor of Science) Mathematics, Hungarian Academy of Sciences, Budapest, Hungary, 1995

Ph.D. Mathematics, Eotvos Lorand University, Budapest, Hungary, 1980

M.Sc. Mathematics , Eotvos Lorand University, Budapest, Hungary, 1978

Research

Areas of Research

Combinatorics, Geometry and Logic
  • Hyperbolic and Spherical Geometry
  • Combinatorial Geometry
  • Differential Geometry
General
  • Geometric Analysis and Rigidity
  • Convexity
Computational Discrete Geometry
  • Discrete Geometry


 

ACADEMIC POSITIONS

Canada Research Chair (Tier 1) in Computational and Discrete Geometry, Director of CCDG, Professor

Karoly Bezdek is a professor as well as a Canada Research Chair (CRC Tier 1) of mathematics and the director of the Centre for Computational and Discrete Geometry (CCDG) at the University of Calgary in Calgary, Alberta, Canada. He is a honorary professor of mathematics at the University of Pannonia in Veszprem, Hungary. His main research interests are in geometry in particular, in combinatorial, computational, convex, and discrete geometry. He has authored 3 books and more than 130 research papers. 


Editor-in-Chief of CDM

Karoly Bezdek is a founding Editor-in-Chief of the e-journal Contributions to Discrete Mathematics (CDM). CDM publishes research articles written in English in areas such as combinatorics and graph theory, discrete and computational geometry, discrete optimization and operations research, theoretical computer science, and coding and communication theory. For more info see https://cdm.ucalgary.ca/about.


Supervision of Graduate Students and Summer Research Students

Karoly Bezdek's main field of research is combinatorial, computational, convex, and discrete geometry. His publications cover a number of topics including Packings; Coverings; Tilings; Hyperplane, Line, and Point Arrangements; Sphere Arrangements; Geometric Lattices; Rigidity and Flexibility; Geometric Graphs; Isoperimetric Inequalities; Convexity Structures; Convex Polytopes; Convex Bodies; Billiards in Convex Bodies; and Illumination of Convex Bodies. Finishing undergraduates (resp., M.Sc. students) with an interest in the broad area of combinatorial, computational, convex, and discrete geometry and its applications are welcome to apply for admission to the M.Sc. (resp., Ph.D.) graduate program of U of C under the supervision of Karoly Bezdek. 



Past and current supervision of research students at U of C
  • Ph.D. students: Marton Naszodi (2003-2007), Peter Papez (2003-2009), Zsolt Langi (2004-2008), Mate Salat (2009), Ryan Trelford (2009-2014), Muhammad Ali Khan (2013-2017), Ilya Ivanov (2018-), Nathan Robock (2019-), Federico Firoozi (2023-)
  • M.Sc. students: Bouchra Sabbagh (2005-2007), Wes Maciejewski (2006-2007), Victoria Labute (2011-2014), Melanie Foerster (2014-2016), Michael Oliwa (2016-2018), Nathan Robock (2017-2019), Braden Strachan (2021-2023)
  • NSERC USRA students: Samuel Reid (May-August, 2012), Michael Oliwa (May-August, 2016), Heather Berringer (May-August, 2017), BradenStrachan (May-August, 2019), (May-August, 2020), (May-August, 2021)

 
Springer Festschrift - 2018

Discrete Geometry and Symmetry - K. Bezdek and E. Schulte Festschrift, Eds.: Marston D.E. Conder, Antoine Deza, and Asia Ivic-Weiss, Springer Proceedings in Mathematics and Statistics, Vol. 234, 2018, Pages 1-349.


 
Fejes Toth Lecture Series at U of C

Laszlo Fejes Toth (1915-2005) was a Hungarian mathematician specialized in geometry who is widely regarded as one of the founding fathers of the field Discrete Geometry that lies on the border line of mathematics and computer science. Karoly Bezdek started the Fejes Toth lecture series in 2009 honoring the legacy of Laszlo Fejes Toth. Every semester CCDG hosts a distinguished Fejes Toth speaker. For more details on the invited speakers and their talks see the website at http://ccdg.math.ucalgary.ca/. 



Center for Computational and Discrete Geometry (CCDG)

The Center for Computational and Discrete Geometry (CCDG) was established at the Dept. of Math. and Stats. of the Univ. of Calgary in 2003. The major goals of CCDG are to maintain an active research program in the broad area of combinatorial, computational, convex, and discrete geometry including both theoretical research and applications of the theory to sciences and engineering. In addition, CCDG hosts visitors, special seminars, and lecture series (such as the Fejes Toth Lecture Series) to support the training of graduate students and to accomodate joint research work. Faculty researchers associated with CCDG include K. Bezdek, T. Bisztriczky, M. Cavers, T. Dihn, F. Fodor, C. Laflamme, J. Ling, M. Pouzet, B. Sands, N. Sauer, K. Seyffarth, and Y. Zinchenko. For more info see https://math.ucalgary.ca/ccdg/.

Courses

Course number Course title Semester
MATH 211 Linear Methods I Fall
MATH 271 Discrete Mathematics Winter

Awards

  • Life-Time Achievement Distinction Award, Immigrant Services Calgary, Canada. 2020
  • Bezdek-Schulte Festschrift: Discrete Geometry and Symmetry, Springer Proceedings in Mathematics and Statistics, Volume 234, Springer, New York. 2018
  • Life-Time Achievement Research Excellence Award, Faculty of Science of the University of Calgary, Calgary, Canada. 2017
  • Canada Research Chair (Tier 1) Award in Computational and Discrete Geometry, Natural Sciences and Engineering Research Council of Canada (NSERC). 2017
  • Great Supervisor Award, Faculty of Graduate Studies of the University of Calgary, Calgary, Canada. 2016
  • BIRS workshop Combinatorial and Convex Geometry Fest to honor the occasion of Bezdek's 60th birthday (February 13-15, 2015), Banff International Research Station (BIRS), Banff, Canada. 2015
  • Fejes Toth Prize , University of Pannonia, Veszprem, Hungary. 2015
  • International conference on Geometry and Symmetry to honor the occasion of Bezdek's 60th birthday (June 29 - July 3, 2015), University of Pannonia, Veszprem, Hungary. 2015
  • Honorary Professor , University of Pannonia, Veszprem, Hungary. 2010
  • Canada Research Chair (Tier 1) Award in Computational and Discrete Geometry, Natural Sciences and Engineering Research Council of Canada (NSERC). 2010
  • Special Volume on Discrete Geometry dedicated to K. Bezdek on the occasion of his 50th birthday, Periodica Math. Hungar. 53/1-2 (2006), 1-264. 2006
  • External Member of the Renyi Mathematical Institute , Hungarian Academy of Sciences. 2005
  • Conference in honour of Bezdek's 50th birthday (May 13-14, 2005), University of Calgary, Calgary, Canada. 2005
  • Canada Research Chair (Tier 1) Award in Computational and Discrete Geometry, Natural Sciences and Engineering Research Council of Canada (NSERC). 2003
  • Reseach Excellence Award of the Hungarian National Science Foundation (OTKA), Government of Hungary. 2002
  • Hertz-Foundation Research Award and Scholarship, University of Dortmund, Dortmund, Germany. 2001
  • Szechenyi Professor Award and Scholarship, Eotvos Lorand University, Budapest, Hungary. 1997

Publications

More Information

Current Ph.D. students: Illya Ivanov (2018 - ), Nathan Robock (2019 - ), Federico Firoozi (2023 - ).