About Me
Address:  128 Academia Road, Section 2, Nankang, Taipei 11529, Taiwan 
Room:  308 
Email:  michaelDOTwallnerATtuwienDOTacDOTat 
ORCID:  000000018581449X 
I am a PostDoc in (analytic) combinatorics working with HsienKuei Hwang at the Institute of Statistical Science at the Academia Sinica. 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 path combinatorics and treelike structures.
Research
Publications
Peer Reviewed Conferences and Journals
 Lukas Spiegelhofer, Michael Wallner
The TuDeng conjecture holds almost surely
Submitted to a journal.
[  arXiv  Maple  Maple (PDF) ]  Michael Wallner
A bijection of plane increasing trees with relaxed binary trees of right height at most one
Submitted to a journal.
[  arXiv ]  Antoine Genitrini, Bernhard Gittenberger, Manuel Kauers & Michael Wallner
Asymptotic Enumeration of Compacted Binary Trees
Submitted to a journal.
[  arXiv ]  Cyril Banderier, Christian Krattenthaler, Alan Krinik, Dmitry Kruchinin, Vladimir Kruchinin, David Nguyen & Michael Wallner
Explicit formulas for enumeration of lattice paths: basketball and the kernel method
Accepted for publication in Developments in Mathematics Series (Springer).
[  arXiv ] 
 Michael Wallner
A halfnormal distribution scheme for generating functions
Full version, submitted to a journal.
[  arXiv ]  Michael Wallner
A halfnormal distribution scheme for generating functions and the unexpected behavior of Motzkin paths
To appear 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 ]
 Michael Wallner

 Bernhard Gittenberger, Emma Yu Jin & Michael Wallner
On the shape of random Pólya structures
Full version, submitted to a journal.
[  arXiv ]  Bernhard Gittenberger, Emma Yu Jin & Michael Wallner
A note on the scaling limits of random Polya trees
In Proceedings of the Fourteenth Workshop on Analytic Algorithmics and Combinatorics (ANALCO), Barcelona, pages 8593, 2017.
[  BibTeX  WWW  arXiv ]
 Bernhard Gittenberger, Emma Yu Jin & Michael Wallner
 Lukas Spiegelhofer & Michael Wallner
Divisibility of binomial coefficients by powers of primes
Accepted for publication in Acta Arithmetica.
[  arXiv ] 
 Cyril Banderier & Michael Wallner
Lattice paths with catastrophes
Full version, submitted to a journal.
[  arXiv ]  Cyril Banderier & Michael Wallner
Lattice paths with catastrophes
Electronic Notes in Discrete Mathematics, Volume 59 (dedicated to the GAScom 2016 conference), June 2017, Pages 131–146.
[  BibTeX  WWW ]
 Cyril Banderier & Michael Wallner

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

 Cyril Banderier & Michael Wallner
The reflectionabsorption model for directed lattice paths
In Proceedings of the VIENNA young SCIENTISTS SYMPOSIUM (VSS), Vienna, pages 9899, 2016.
[  BibTeX  WWW  Poster ]  Cyril Banderier & Michael Wallner
Some reflections on lattice paths
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 ]
 Cyril Banderier & Michael Wallner
Theses
 Michael Wallner
Combinatorics of Lattice Paths and TreeLike Structures
PhD thesis written under the supervision of Bernhard Gittenberger, TU Wien, 2016.
[ PDF  BibTeX ]  Michael Wallner
Lattice Path Combinatorics
Master's thesis written under the supervision of Michael Drmota, TU Wien, 2013.
[ PDF  BibTeX ]  Michael Wallner
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
 MarieLouise Lackner & Michael Wallner
An Invitation to Analytic Combinatorics and Lattice Path Counting
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
 The kernel method and Pólya urns, joint work with HsienKuei Hwang (Academia Sinica).
 Divisibility of binomial coefficients by powers of two, joint work with Lukas Spiegelhofer (TU Wien).
 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).
 Lattice path with catastrophes in higher dimensions, joint work with Cyril Banderier (LIP13 Paris Nord).
 The halfnormal law and the local time for lattice paths, joint work with Cyril Banderier (LIP13 Paris Nord).
 Unconventional lattice path models.
 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
 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
 05/2017present: 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.