Currently I work as a Freelance Software Developer.
I did my PhD at EPFL in Discrete and
Combinatorial Geometry under the supervision of Janos Pach.
My general research interests are mostly in the area of discrete and combinatorial geometry. In particular, I am interested in topological graphs and combinatorial properties of arrangements of basic geometric objects such as points, lines, polygons, polyhedra, discs, convex sets etc.
September 2023 -
I am a Visiting Assistant Professor at NYU.
January 2022 - August 2022
I was an Acting Assistant Professor at Stanford University.
July 2020 - December 2021
I was a lecturer at UCSD.
September 2019 - September 2020
I was a postdoctoral researcher at University of Arizona hosted by Stephen Kobourov.
I was working in the group of Uli Wagner on eliminating intersections in drawings of graphs.
March 2015 - June 2017
I was an IST Fellow at IST Austria affiliated with the group of Uli Wagner.
September 2013 - February 2015
During my research stay at Columbia I was hosted by Maria Chudnovsky. The stay was funded by Early Postdoc.Mobility Grant of Swiss National Science Foundation with the project on Arrangements of Geometric Objects and Topological Graphs.
February 2013 - August 2013
During this research stay I was hosted by Jan Kratochvil.
May 2012 - January 2013
During this research stay I was hosted by Janos Pach.
Atomic Embeddability, Clustered Planarity, and Thickenability (with C. Toth)
Counterexample to an Extension of the Hanani–Tutte Theorem on the Surface of Genus 4 (with J. Kyncl)
Recognizing Weak Embeddings of Graphs (with H. Akitaya and C. Toth)
Crossing Numbers and Combinatorial Characterization of Monotone Drawings of K_n (with M. Balko and J. Kyncl)
Intersecting Convex Sets by Rays (with A. Holmsen and J. Pach)
Joint work with Marcus Schaefer and Michael Pelsmajer
The Electronic Journal of Combinatorics 2023Joint work with Jan Kyncl
Discrete and Combinatorial Geometry 2022Joint work with Csaba Toth
Journal ACM 2022Joint work with Alon Efrat, Stephen Kobourov and Csaba Toth
Journal of Graph Algorithms and Applications 2022Joint work with Csaba Toth
Journal of Combinatorial Optimization 2020Joint work with Hugo Akitaya and Csaba Toth
ACM Transactions on Algorithms 2019Joint work with Jan Kyncl
Combinatorica 2019Joint work with Steven Chaplick and Pavel Klavik
Journal of Graph Theory 2019Joint work with Marcus Schaefer and Michael Pelsmajer
J. Graph Algorithms Appl. 2017Joint work with Jan Kyncl, Igor Malinovic and Domotor Palvolgyi
Electr. J. Comb. 2015Joint work with many people
Discrete and Computational Geometry 2015Joint work with Martin Balko and Jan Kyncl
Discrete and Computational Geometry 2015Joint work with Balazs Keszegh, Filip Moric and Igor Uljarevic
Graphs and Combinatorics 2013Joint work with Fabrizio Frati and Andres Ruiz-Vargas
J. Graph Algorithms Appl. 2013Joint work with Emilio Di Giacomo, Fabrizio Frati, Luca Grilli and Marcus Krug
Computational Geometry 2013Joint work with Eyal Ackerman and Csaba Toth
SIAM J. Discrete Math. 2012Joint work with Karin Arikushi, Balazs Keszegh, Filip Moric, and Csaba Toth
Computational Geometry 2012Joint work with Andrew Suk
Thirty Essays on Geometric Graph Theory, J. Pach ed., 2012Joint work with Marcus Schaefer, Michael Pelsmajer and Daniel Stefankovic
Thirty Essays on Geometric Graph Theory, J. Pach ed., 2012Joint work with Noushin Saeedi and Deniz Sarioz
Thirty Essays on Geometric Graph Theory, J. Pach ed., 2012Joint work with Michael Pelsmajer, Marcus Schaefer and Daniel Stefankovic
J. Graph Algorithms Appl. 2012Joint work with Janos Pach
Computational Geometry 2011Joint work with many people
Electr. J. Comb. 2010Joint work with Filip Moric and David Pritchard
Discrete Mathematics 2010Joint work with Andreas Holmsen and Janos Pach
Discrete and Computational Geometry 2009Joint work with Bernd Gaertner, Andrey Kupavskii, Pavel Valtr and Uli Wagner
SOCG 2019Joint work with Jan Kyncl
SOCG 2019Joint work with Rados Radoicic
GD 2015Joint work with Andres Ruiz-Vargas
SoCG 2013Joint work with Hongmei He, Ondrej Sykora and Imrich Vrto
SOFSEM 2005The purpose of the proposed project is two-fold. On the one hand, we aim to develop mathematical tools helpful in the design of fast graph drawing algorithms that minimize the number of edge crossings, under additional constraints. Our approach is based crucially on the Hanani-Tutte paradigm which reduces the detection of the existence of the desired crossing-free drawing of a graph to the algebraic problem of solving a system of linear equations. For this problem provably fast algorithms exist. On the other hand, along the way we intend to address several fundamental open problems about higher dimensional analogs of graphs, and graphs drawn in the plane and on more complicated surfaces, whose resolution would likely have a large impact on the area of graph/network visualization, as well as on the area of combinatorial and computational geometry.