Raul Penaguiao

PhD student in mathematics

Algebraic Combinatorics

20 anos 20 valores conference - Lisbon, 2013

About me

I'm a PhD student at Universitat Zürich, under the supervision of Valentin Feray: see here our group.

Research interests: Hopf algebras and Hopf monoids; Combinatorics of graphs, permutation patterns, posets and polytopes; Root systems and Coxeter groups.

You can see my master thesis, and a work on the chromatic symmetric function developed during my masters.

My research proposal as of 31th of January, 2019.

You can also see more photos of me: building an oven, in my masters cerimony, and hiking in Kyrgyzstan.

A modular relation on nestohedra

NEWS: I'm also one of the organisers of the Permutation Patterns workshop and Permutation patterns 2019, Zurich.

Contact Me

Raul Penaguiao
Location Contact
Institut für Mathematik
Universität Zürich raul.penaguiao(at)math.uzh.ch
Winterthurerstrasse 190 +41 44 635 60 57/8
CH-8057 Zürich
Irchel: Y27H08

Publications and Research

Here is my ArXiv page

Papers submited for publication

- The kernel of chromatic quasisymmetric functions on graphs and nestohedra, submitted for publication - pdf version and arxiv webpage.

Conference proceedings

- The kernel of chromatic quasisymmetric functions on graphs and nestohedra, 30th International Conference on Formal Power Series and Algebraic Combinatorics - pdf version and arxiv webpage.

Talks and Seminares

- Free pattern algebras 82nd Séminaire Lotharingien de Combinatoire, Curia Portugal - April, 2019 - slides.

- Chromatic symmetric functions on graphs and nestohedra, Formal Power Series and Algebraic Combinatorics, Darmouth USA - July, 2018 - slides.

- CMUC seminar, Coimbra Portugal - June, 2018 - slides.

- 8th Combinatorics day, Porto Portugal - June, 2018 - slides.

- 80th Séminaire Lotharingien de Combinatoire, Lyon France - March, 2018 - slides.

- Discrete mathematics seminar, University of Zürich - December, 2017 - slides.

- Coefficients of a random invariant in random graphs, Discrete mathematics seminar, University of Zürich - September, 2016 - slides.

- Flips in triangulations, Class seminar in "Geometry: Combinatorics and Algorithms", ETH Zürich, (May, 2015) - slides.

- Non-repetitive sequences in paths and graphs, Mittagseminar, ETH Zürich, (May, 2015) - slides.

You can also find me on the following events:

- FPSAC'19, University of Ljubljana - Ljubljana Slovenia, July 2019 link.

- Summer School on Geometric and Algebraic Combinatorics, Paris France, June 2019 - link.

- Permutation Patterns 2019, University of Zurich - Zurich Switzerland, June 2019 - link.

- Permutation Patterns Pre-Conference Workshop, University of Zurich - Zurich Switzerland, June 2019 - link.

- 82nd SLC, Coimbra - Curia Portugal, April 2019 - link.

- Einstein workshop on Algebraic Combinatorics, FU Berlin - Berlin Germany, November 2018 - link.

- 81st SLC - KrattentalerFest, Strobl Austria, September 2018 - link.

- 4th AEC summer school, Hagenberg Austria, August 2018 - link.

- FPSAC'18, Dartmouth univeristy - Hanover NH USA, July 2018 - link.

- 8th Combinatorics Day, Faculdade de Ciencias da Unversidade do Porto - Porto Portgual, June 2018 - link.

- 80th SLC, Lyon 1 - Lyon France, March 2018 - link.

- 79th SLC, Bertinoro Italy, September 2017 - link.

- FPSAC'17, Queen Mary university - London UK, July 2017 - link.

- 78th SLC - Thibon Fest, Muhlhouse France, March 2017 - link.

- 3rd AEC summer school, Hagenberg Austria, August 2016 - link.

Teaching

Assistant at courses in Universitat of Zürich

Assistant in linear algebra I in 2018 fall semester - Alberto Cattaneo - Course webpage

Assistant in Hopf algebras in 2018 spring semester - Benedict Stufler - Course webpage

Assistant in probability II in 2017 fall semester - Valentin Féray - Course webpage

Assistant in linear algebra II in 2017 spring semester - Andrew Kresch - Course webpage

Assistant in foundations of mathematics in 2016 fall semester - Mathilde Bouvel - Course webpage

Assistant at courses in ETH Zürich

Assistant in Analysis II in 2016 spring semester Course webpage

Assistant in MMP I in 2015 fall semester - Course webpage

My Vita

You can download my CV here, as of the 30th of January, 2019.

Studies

Doctorate Studies

UZH, University of Zürich, Switzerland

Doctoral studies in mathematics - Degree (PhD) in Pure Mathematics

September 2016 - currently

Masters

ETH Zürich, Federal University of Zürich, Switzerland

Masters of Science in Mathematics - Degree (MSc) in Pure Mathematics

September 2014 - June 2016

Bachelor

Instituto Superior Técnico, University of Lisbon, Lisbon, Portugal.

Degree (BSc) in Applied Mathematics and Computation

September 2011 - August 2014


Software Habilities
Technical languages General purpose languages Markup languages
Mathematica C++ HTML
MatLab Python
SAGE math

Languages spoken
Portuguese English German Spanish French
Mother tongue Proficient - C1 Intermediate - B1 Beginner - A2 Beginner - A1

Documents

Exercises on Hopf algebras
Exercise 1 - link Solutions 1 - link
Exercise 2 - link Solutions 2 - link
Exercise 3 - link Solutions 3 - link
Exercise 4 - link Solutions 4 - link
Exercise 5 - link Solutions 5 - link
Exercise 6 - link Solutions 6 - link
Exercise 7 - link Solutions 7 - link
Exercise 8 - link Solutions 8 - link