About Me
Address:  351 Cours de la Libération, 33405 Talence Cedex, France 
Room:  120 
Email:  michaelDOTwallnerATtuwienDOTacDOTat 
ORCID:  000000018581449X 
At the moment I am a PostDoc and Erwin SchrödingerFellow working with Mireille BousquetMélou at the Laboratoire Bordelais de Recherche en Informatique at the Université de Bordeaux.
My main interests lie within (analytic) combinatorics, with an emphasis both on exact and asymptotic results for the enumeration of labelled and unlabelled structures and on probabilistic limit laws for combinatorial parameters. My main focus areas are lattice paths and treelike structures.
Research
Publications
Peer Reviewed Conferences and Journals

Combinatorics of nondeterministic walks of the Dyck and Motzkin type
with Élie de Panafieu and Mohamed Lamine Lamali; to appear in Proceedings of the Sixteenth Workshop on Analytic Algorithmics and Combinatorics (ANALCO), San Diego, 2019.
[  WWW ] 
Local time for lattice paths and the associated limit laws
with Cyril Banderier; to appear in the Proceedings of GAScom 2018 conference, Athens, 2018.
[  BibTeX  WWW  arXiv ] 
Rectangular Young tableaux with local decreases and the density method for uniform random generation
with Cyril Banderier and Philippe Marchal; to appear in the Proceedings of GAScom 2018 conference, Athens, 2018.
[  BibTeX  WWW  arXiv ] 
Periodic Pólya Urns and an Application to Young Tableaux
with Cyril Banderier and Philippe Marchal; to appear in the Proceedings of the 29th International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2018), Uppsala, 2018.
[  BibTeX  WWW  arXiv ] 
Divisibility of binomial coefficients by powers of two
with Lukas Spiegelhofer; Journal of Number Theory, Volume 192, November 2018, Pages 221239.
[  BibTeX  WWW  arXiv ] 
The TuDeng conjecture holds almost surely
with Lukas Spiegelhofer; submitted to a journal.
[  arXiv  Maple  Maple (PDF) ] 
A bijection of plane increasing trees with relaxed binary trees of right height at most one
to appear in the Theoretical Computer Science.
[  BibTeX  WWW  arXiv ] 
Asymptotic Enumeration of Compacted Binary Trees
with Antoine Genitrini, Bernhard Gittenberger & Manuel Kauers; submitted to a journal.
[  arXiv ] 
Explicit formulas for enumeration of lattice paths: basketball and the kernel method
with Cyril Banderier, Christian Krattenthaler, Alan Krinik, Dmitry Kruchinin, Vladimir Kruchinin & David Nguyen; accepted for publication in Developments in Mathematics Series (Springer).
[  arXiv ] 

A halfnormal distribution scheme for generating functions
Full version, submitted to a journal.
[  arXiv ] 
A halfnormal distribution scheme for generating functions and the unexpected behavior of Motzkin paths
In Proceedings of the 27th International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2016), Krakow, 2016.
[  BibTeX  WWW  arXiv ]

A halfnormal distribution scheme for generating functions


On the shape of random Pólya structures
with Bernhard Gittenberger & Emma Yu Jin; full version, Discrete Mathematics, Volume 341, Issue 4, April 2018, Pages 896–911.
[  BibTeX  WWW  arXiv ] 
A note on the scaling limits of random Polya trees
with Bernhard Gittenberger & Emma Yu Jin; in Proceedings of the Fourteenth Workshop on Analytic Algorithmics and Combinatorics (ANALCO), Barcelona, pages 8593, 2017.
[  BibTeX  WWW  arXiv ]

On the shape of random Pólya structures
 An explicit generating function arising in counting binomial coefficients divisible by powers of primes
with Lukas Spiegelhofer; Acta Arithmetica 181 (2017), 2755.
[  BibTeX  WWW  arXiv ] 

Lattice paths with catastrophes
with Cyril Banderier; full version, Discrete Mathematics & Theoretical Computer Science, September 29, 2017, Vol 19 no. 1.
[  BibTeX  WWW  arXiv ] 
Lattice paths with catastrophes
with Cyril Banderier; Electronic Notes in Discrete Mathematics, Volume 59 (dedicated to the GAScom 2016 conference), June 2017, Pages 131–146.
[  BibTeX  WWW ]

Lattice paths with catastrophes

 The kernel method for lattice paths below a line of rational slope
with Cyril Banderier; full version, accepted for publication in Developments in Mathematics Series (Springer).
[  arXiv ]  Lattice paths of slope 2/5
with Cyril Banderier; in Proceedings of the Fourteenth Workshop on Analytic Algorithmics and Combinatorics (ANALCO), San Diego, pages 105113, 2015.
[  BibTeX  WWW  arXiv ]
 The kernel method for lattice paths below a line of rational slope

 The reflectionabsorption model for directed lattice paths
with Cyril Banderier; in Proceedings of the VIENNA young SCIENTISTS SYMPOSIUM (VSS), Vienna, pages 9899, 2016.
[  BibTeX  WWW  Poster ]  Some reflections on lattice paths
with Cyril Banderier; in Proceedings of the 25th International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2014), Paris, pages 2536, 2014.
[  BibTeX  WWW  arXiv ]
 The reflectionabsorption model for directed lattice paths
Theses
 Combinatorics of Lattice Paths and TreeLike Structures
PhD thesis written under the supervision of Bernhard Gittenberger, TU Wien, 2016.
[ PDF  BibTeX ]  Lattice Path Combinatorics
Master's thesis written under the supervision of Michael Drmota, TU Wien, 2013.
[ PDF  BibTeX ]  Algebraic Multigrid Methods for HigherOrder Finite Element Discretization with parallelization
Master's thesis written under the supervision of Matthias Maischak, Brunel University, London, 2012.
[ PDF  BibTeX ]
Scripts
 An Invitation to Analytic Combinatorics and Lattice Path Counting
with MarieLouise Lackner; lecture notes of a minicourse held at the ALEA in Europe Young Researchers' Workshop, University of Bath, Bath, UK, December 2015.
[ PDF ]
Work in progress
 Lattice paths with catastrophes in higher dimensions, joint work with Mireille BousquetMélou (LaBRI).
 Pólya urns and Young Tableaux, joint work with Cyril Banderier (LIP13 Paris Nord) and Philippe Marchal (Paris 13).
 The kernel method and Pólya urns, joint work with HsienKuei Hwang (Academia Sinica).
 Asymptotics of general compacted trees, joint work with Antoine Genitrini (LIP6 Paris) and Bernhard Gittenberger (TU Wien).
 Lattice paths below a line of irrational slope, joint work with Cyril Banderier (LIP13 Paris Nord).
 Critical compositon schemes, joint work with Cyril Banderier (LIP13 Paris Nord) and Markus Kuba (FHTechnikum Wien).
 The reflectionabsorption model for directed lattice paths, joint work with Cyril Banderier (LIP13 Paris Nord).
Talks
 A bijection of plane increasing trees with bounded relaxed binary trees, held at the 4th Algorithmic and Enumerative Combinatorics Summer School 2018, Hagenberg, Austria, July 2018.
 Periodic Pólya urns and an application to Young tableaux, held at the 29th International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2018), Uppsala, Sweden, June 2018.
 Periodic Pólya urns and an application to Young tableaux, held at the Seminar of the Combinatoire Énumérative et Algébrique, LaBRI, Bordeaux, France, June 2018.
 Asymptotic Enumeration of Compacted Binary Trees with Height Restrictions, held at the Computational Logic and Applications, Sorbonne University, Paris, France, May 2018.
 Periodic Pólya urns and an application to Young tableaux, held at the Journée MathStic  Combinatoire, probabilités, et physique, LIPN, Paris, France, May 2018.
 A bijection of plane increasing trees with bounded relaxed binary trees, held at the Journées ALEA, CIRM, Marseille, France, March 2018.
 Asymptotic Enumeration of Compacted Binary Trees with Height Restrictions, held at the Seminar of the Combinatoire Énumérative et Algébrique, LaBRI, Bordeaux, France, February 2018.
 Halfnormal lattice paths, held at the PhD Seminars Mathematics, Ghent University, Belgium, December 2017.
 Asymptotic Enumeration of Compacted Binary Trees with Height Restrictions, held at the Seminar "Computations and Proofs" at SpecFun, INRIA, France, December 2017.
 Lattice paths with catastrophes: limit laws and random generation, held at the Séminaire de Probabilités et Théorie Ergodique, Univeristé de Tours, France, November 2017.
 Limit laws for lattice paths with catastrophes, held at the séminaire de combinatoire, LIPN, Paris, France, September 2017.
 An introduction to lattice path counting (with catastrophes), held at the PostDoc Seminar, Institute of Statistical Science, Academia Sinica, Taiwan, July 2017.
 Limit laws for lattice paths with catastrophes, held at the Seminar on Combinatorics, Institute of Mathematics, Academia Sinica, Taiwan, July 2017.
 The kernel method for lattice paths below a line of rational slope, held at the Algo@ISSAS Seminar, Institute of Statistical Science, Academia Sinica, Taiwan, June 2017.
 A note on the scaling limits of random Pólya trees, held at the Analytic Algorithmics and Combinatorics (ANALCO), Barcelona, Spain, January 2017.
 Compacted binary trees, held at the SFB F50 Algorithmic and Enumerative Combinatorics status seminar, Strobl, Austria, November 2016.
 A note on the scaling limits of random Pólya trees, held at the seminar of the Arbeitsgemeinschaft Diskrete Mathematik, Vienna University of Technology, Austria, November 2016.
 Lattice paths with catastrophes, held at the 77th Séminaire Lotharingien de combinatoire (SLC77), Strobl, Austria, September 2016.
 A halfnormal distribution scheme for generating functions, held at the Asymptotic Analysis of Algorithms & Combinatorial Structures (A3CS), Paris, France, September 2016.
 A halfnormal distribution scheme for generating functions and the unexpected behavior of Motzkin paths, held at the 27th International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2016), Kraków, Poland, July 2016.
 Lattice paths below a line of rational slope, held at the Final conférence of the MADACA project, Domaine de Chalès, France, June 2016.
 A halfnormal distribution scheme for generating functions, held at the seminar of the Arbeitsgemeinschaft Diskrete Mathematik, Vienna University of Technology, Austria, June 2016.
 The reflectionabsorption model for directed lattice paths, speed talk with poster presentation held at the VIENNA young SCIENTISTS SYMPOSIUM (VSS16), Vienna, Austria, June 2016.
 An Invitation to Analytic Combinatorics and Lattice Path Counting, minicourse with lecture notes, held at the ALEA in Europe Young Researchers' Workshop, University of Bath, Bath, UK, December 2015.
 Counting compacted trees, held at the SFB F50 Algorithmic and Enumerative Combinatorics status seminar, Strobl, Austria, December 2015.
 Why and when does the halfnormal distribution appear in combinatorics?, held at the séminaire de combinatoire, LIPN, Paris, France, September 2015.
 A halfnormal limit distribution scheme and applications to lattice paths, held at the 8th International Conference on Lattice Path Combinatorics & Applications, Cal Poly Pomona, USA, August 2015.
 The extension of a Rayleigh limiting distribution scheme, held at the SFB workshop on Lattice Walks, Hagenberg, Austria, May 2015.
 Lattice paths of slope 2/5, held at the Analytic Algorithmics and Combinatorics (ANALCO), San Diego, USA, January 2015.
 Lattice paths of slope 2/5, held at the SFB F50 Algorithmic and Enumerative Combinatorics status seminar, Strobl, Austria, December 2014.
 Lattice paths of slope 2/5 – Solving a problem of Knuth, held at the seminar of the Arbeitsgemeinschaft Diskrete Mathematik, Vienna University of Technology, Austria, November 2014.
 Some (more) reflections on lattice paths, held at the probability seminar of the Université Francois Rabelais, Tours, France, September 2014.
 Some reflections on lattice paths, held at the 25th International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2014), Paris, France, June 2014.
 Some reflections on directed lattice paths, held at the seminar of the Arbeitsgemeinschaft Diskrete Mathematik, Vienna University of Technology, Austria, May 2014.
Teaching at TU Wien (in German)
Previous classes (Frühere Lehrveranstaltungen)
 SS 2016: Diskrete Methoden, Übung
 WS 2015: Analysis Mathematik für Informatik und Wirtschaftsinformatik, Übung
 SS 2015: Analysis Mathematik für Informatik und Wirtschaftsinformatik, Übung
 SS 2015: Diskrete Methoden, Übung
 WS 2014: Analysis Mathematik für Informatik und Wirtschaftsinformatik, Übung
 SS 2014: Algebra und Diskrete Mathematik für Informatik und Wirtschaftsinformatik, Übung
 SS 2014: Diskrete Methoden, Übung
 WS 2012: Numerische Mathematik, Übung
Teaching at FH Campus Wien (in German)
Previous classes (Frühere Lehrveranstaltungen)
 WS 2016: Analysis 1, Übung für Studierende der Angewandten Elektronik
 WS 2015: Analysis 1, Übung für Studierende der Angewandten Elektronik
Organization
 Member of organizing committee of the ALEA in Europe Workshop, Vienna, Austria, 2017.
 Member of organizing committee of the European Conference on Combinatorics, Graph Theory and Applications (Eurocomb 2017), Vienna, Austria, 2017.
 Member of organizing committee of the 4th ALEA in Europe Young Researcher's Workshop, Vienna, Austria, 2016.
 Member of organizing committee of the 26th International Meeting on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2015), Strobl, Austria, 2015.
 Administrator of the website of the seminar of the Arbeitsgemeinschaft Diskrete Mathematik, TU Wien, Austria, since 2014.
 Teaching support at the Institute of Discrete Mathematics and Geometry, TU Wien, Austria, since Nov. 2013.
Short CV
 02/2018present: PostDoc and Erwin SchrödingerFellow at the Laboratoire Bordelais de Recherche en Informatique at the Université de Bordeaux under the supervision of Mireille BousquetMélou;
 12/2017: Promotio sub auspiciis at the TU Wien;
 09/201712/2017: PostDoc at the Laboratoire d'Informatique de Paris Nord at the Université Paris 13 under the supervision of Cyril Banderier;
 05/201707/2017: PostDoc at the Academia Sinica under the supervision of HsienKuei Hwang;
 02/201704/2017: PostDoc at the TU Wien in the SFB F5003: Combinatorics of TreeLike Structures and Enriched Trees under the supervision of Bernhard Gittenberger;
 11/201301/2017: PhDstudies at TU Wien under the supervision of Bernhard Gittenberger.
 07/2011  10/2013: Technical Mathematics in Computer Sciences, TU Wien, MSc; Master thesis Lattice path combinatorics supervised by Michael Drmota.
 09/2011  09/2012: Computational Mathematics with Modelling, Brunel University London, MSc; Master thesis Algebraic Multigrid Methods for HigherOrder Finite Element Discretization with parallelization supervised by Matthias Maischak.
 10/2008  07/2011: Technical Mathematics in Computer Sciences, TU Wien, BSc; Bachelor thesis Factorization of polynomials over finite fields supervised by Michael Drmota.
 09/2001  07/2007: EDV & Organsiation, HTBL Pinkafeld; Austrian Matura.