My research

Curriculum Vitae

*Born:*23/02/1988, Hořice, Czech Republic*E-mail:*klavik [at] iuuk [dot] mff [dot] cuni [dot] cz- Student of Faculty of Mathematics and Physics, Charles University in Prague.
- Currently, PhD. student of computer science,

Computer Science Institute of Charles University. - Bachelor degree at Charles University in 2010.
- Bachelor’s Thesis – Geometric Representations of Graphs.
- Master degree at Charles University in 2012.
- Master Thesis – Extending Partial Representations of Graphs.
- Doctoral Thesis – Extension Properties of Graphs and Structures, defence in September 2017.
- A participant of several competitions (see the list below).
- Programming experiences (C, C++, Java, Perl, ...) since youth.

- Graph theory,
- geometric representations of graphs and graph drawing,
- algebraic graph theory and group theory,
- algorithms and complexity of combinatorial problems,
- structural big picture and scientific education,
- applied numerical linear algebra and supercomputing.

- Fluent in Czech and English.
- Basic knowledge of German and Japanese.

- Participant of math research programs REU (Research Experiences for Undergraduate Students) 2009 and 2010 at Rutgers University, New Jersey.
- Participant of Great Minds student internship 2012 at IBM Research in Zurich.
- Young Research Participant of 4th Heidelberg Laureate Forum.
- Visitor of Japanese Advance Institute of Science and Technology in 2013 (one month) and 2014 (one month).
- Visitor of Kyoto University in 2013 (two weeks), 2014 (two weeks), 2015 (two weeks).

- Head programmer and system analytic of a Java client-server application in TTC Marconi (from 2008 to 2009).
- Editor of IUUK-CE-ITI pre-print series from 2013 till 2016.

- Teaching assistent at Charles University since 2008 (programming, discrete math, combinatorics and graph theory, linear algebra, analysis).
- Course in Advance Linear Algebra (Fall 2013).
- Planned course in Complex Analysis via Visual method (Spring 2016).
- List of books, lecture notes, and structural maps:
- Povídání o Lineární algebře (in Czech, in preparation): introductory linear algebra book, covers introduction to linear systems, vector spaces, matrices and linear mappings.
- Lineární algebra III (in Czech): lecture notes for Advance Linear Algebra class.
- Pokročilé cvičení Lineární algebra II (in Czech): lecture notes for special recitations for second semester of Linear Algebra, covers orthogonality, determinants, eigenvalues and positive definite matrices.
- Strukturální mapa Lineární algebry (in Czech, in preparation): for my classes in 2015/2016, most important topics and their connections. How to use, supported browsers are Firefox and Google Chrome.
- List of my students:
- Peter Zeman 2012 - 2016:
- Bachelor's thesis "Automorphism Groups of Geometrically Represented Graphs" (defended 2014),
- Master thesis "Algebraic, Structural, and Complexity Aspects of Geometrically Represented Graphs" (defended 2016).

- A bronze medal winner of IOI 2007 (International Olympiad in Informatics).
- A participant of Central-European round of ACM ICPC (International Collegiate Programming Contest) in 2008, 2009 and 2010. The first place in the regional round CTUOpen 2009, third place in the regional round CTUOpen 2010.
- The third place in a competition of student papers SVOČ 2008, with the paper

Jozef Jirásek, Pavel Klavík - Recoloring k-trees. - The first place in a competition of student papers SVOČ 2009, with the thesis

Jozef Jirásek, Pavel Klavík – Lines in Graphs. - The first place in a competition of student papers SVOČ 2012, with the thesis

Pavel Klavík – Extending Partial Representations of Interval Graphs. - Laureate of Jiří Matoušek Prize 2017 of Charles University together with Peter Zeman for the paper "Automorphism Groups of Geometrically Represented Graphs".