A. Garmendia's CV • Sept 26
PhD in Mathematics :
Geometry, Lie groupoids, singular foliations

Contact

Affiliation
Max Planck Institute for Mathematics Bonn, Germany.
e.m.a.i.l
garmendia $at$ mpim-bonn.mpg.de
web page
https://sites.google.com/view/alfonso-garmendia-math
Languages
Spanish (N), English (C1), French (advanced), German and Catalan (intermediate) and Dutch (A2).

Positions

2026–now
Postdoc Max Planck Institute for Mathematics Bonn, Germany.
2025–2026
Researcher Teaching Assistant (ATER), CY Cergy-Paris, France.
2025–2025
Postdoc, Max Planck Institute for Mathematics Bonn, Germany.
2024–2025
Professor, UManresa, Spain.
2022–2024
Senior Postdoc MdM, GEOMVAP, CRM Barcelona, Spain.
2019–2021
Postdoc, Universität Potsdam, Germany.
2015–2019
Researcher as PhD. Student, KU LEUVEN, Belgium.
2010–2015
Professor, Universidad Central de Venezuela, Venezuela.
2007–2010
Exercise session assistant, Universidad Central de Venezuela, Venezuela.

Education

2015–2019
PhD in Mathematics, KU LEUVEN, Belgium.
Thesis: Groupoids and singular foliations.
Advisor: Marco Zambon
2010–2015
M.Sc. in Mathematics, Universidad Central de Venezuela, Venezuela.
Thesis: Functorial quantization.
Adviser: Mauricio Angel.
2005–2010
B.Sc. in Mathematics, Universidad Central de Venezuela, Venezuela.
Thesis: Study of differential equations using geometric methods.
Adviser: Mauricio Angel.

RESEARCH

My main contributions are in singular foliations and Lie groupoids. My starting point was symplectic and Poisson geometry, together with Lie theory.
My research has since expanded towards higher structures, diffeology, and applications to mathematical physics.

Publications

  1. Garmendia, A. and Miranda, E.: “E-symplectic vs almost regular Poisson”.
    Journal of the Institute of Mathematics of Jussieu.
    DOI 10.1017/S1474748026101595 . March 2026.
  2. Garmendia, A. and Cattafi, F.: “PB-groupoids vs VB-groupoids”.
    Revista Matemática Iberoamericana.
    DOI 10.4171/RMI/1580. Aug 2025.
  3. Garmendia, A. and Paycha, S.: “Principal bundle groupoids, their gauge group and their nerve”.
    Journal of Geometry and Physics.
    DOI 10.1016/j.geomphys.2023.104865. Sept 2023.
  4. Garmendia, A. and Villatoro, J.: “Integration of singular foliations via paths”.
    International Mathematics Research Notices.
    DOI 10.1093/imrn/rnab177. Sept 2021.
  5. Garmendia, A. and Zambon, M.: “Quotients of singular foliations and Lie 2-group actions”.
    Journal of Noncommutative Geometry.
    DOI 10.4171/JNCG/434. Dec 2021.
  6. Garmendia, A. and Yudilevich, O.: “On the inner automorphisms of a singular foliation”.
    Mathematische Zeitschrift.
    DOI 10.1007/s00209-018-2212-0. Oct 2019.
  7. Garmendia, A. and Zambon, M.: “Hausdorff Morita equivalence of singular foliations”.
    Annals of Global Analysis and Geometry.
    DOI 10.1007/s10455-018-9620-6. Feb 2019.

Preprints

  1. Garmendia, A. ; Miyamoto, D. and Ryvkin, L.: “A singular Serre-Swan theorem via tepui fibrations”.
    arXiv:2510.20936. Oct 2025.
  2. Garmendia, A.: “Groupoids and singular foliations”. PhD Thesis, KU Leuven.
    arXiv:2107.10502. Jul 2019.

Selected Talks

2026-Feb
"Groupoïdes de FV et FP", Geom. Seminar, Univ. Lorraine, Metz, France.
2026-Jan
"Singular foliations and Poisson structures", Operator Seminar, IMJ-PRG, France.
2025-Oct
"Tepui fibration and a singular Serre Swan theorem", Math Seminar, CY Cergy Paris, France.
2025-July
"Tepui fibrations" , Workshop: Sing. foliations and higher structures, Univ. Würzburg, Germany.
2025-Apr
"E symplectic, Poisson and Lie bi-algebroids", Geometry Seminar, Univ. Salerno, Italy.
2025-Mar:
"VB and PB correspondence for groupoids", Higher Diff. Geom. Seminar, MPIM Bonn, Germany.
2025-Jan
"E-str. & almost reg. Poisson", Conference: BCN-Face(t)s in Symplectic Geometry, UPC, Spain.
2024-Nov
"Diffeology and Entreplots", Mathematical Physics Seminar, Univ. Lyon 1, France.
2024-Apr
"Gauge theories in groupoids", Seminar Sijimat, CRM, Spain.
2024-Mar
"E-symp. & almost reg. Poisson", Workshop: Geometry in Timișoara, Univ. Timișoara, Romania.
2023-Jul
"Integration of Poisson manifolds", Conference: Singular Foliations & Dg-manifolds, IHP Paris, France.
2022-Jul
"Principal Bundle Groupoids and Gerbes", Preconference: Poisson Days, CRM Barcelona, Spain.
2021-Sep
"Path integration of sing. foliation", Meeting on Groupoids, Poisson and Integration; WPI Vienna, Austria.
2020-Oct
"Path groupoid of a singular foliation", Workshop: Koszul Duality and Operads, CIRM Marseille, France.
2019-May
"Quotients of singular foliations and Lie 2-groups", Workshop on Singular Foliations, KU Leuven, Belgium.
2018-Oct
"Morita equivalence", Groupe de travail: Feuilletages singuliers, Univ. Paris Diderot, Paris, France.
2017-Aug
"Hausdorff Morita equivalence of singular foliations", Conference: PADGE 2017, KU Leuven, Belgium.
2012-Mar
"Operads and deformation quantization", Conference: XXV JVM, Univ. de Oriente. Cumaná, Venezuela.

TEACHING

Primary instructor for 10+ undergraduate courses and extensive exercise-session teaching at undergraduate and master's levels in Belgium, France, Germany, Spain and Venezuela.

Lectures

2025-Fall
“Optimisation” undergraduate course, Cergy Université, France.
2024-Fall
“Matemàtiques”, “Analisi de dades” undergraduate course, UManresa, Spain.
2015-Spring
“Algebra II” undergraduate course, UCV, Venezuela.
2014-Fall
“Matemáticas I” undergraduate course, UCV, Venezuela.
2014-Spring
“Algebra I” undergraduate course, UCV, Venezuela.
2013-Fall
“Elementos de la matemática” undergraduate course, UCV, Venezuela.
2013-Spring
“Matemáticas II” undergraduate course, UCV, Venezuela.
2012-Fall
“Elementos de la matemática” undergraduate course, UCV, Venezuela.
2012-Spring
“Matemáticas II” undergraduate course, UCV, Venezuela.
2011-Fall
“Elementos de la matemática” undergraduate course, UCV, Venezuela.
2011-Spring
“Matemáticas I” undergraduate course, UCV, Venezuela.
2010-Fall
“Matemáticas I” undergraduate course, UCV, Venezuela.

Exercise Sessions

2026-Spring
“Algèbre II” and “Algèbre bilinéaire” undergraduate
2025-Fall
“Optimisation Linéaire et non Linéaire”, “Algèbre” and “Analyse dans RN” undergraduate courses, Cergy University.
2021-Spring
“Gauge Theory” and “Mathematics for Physicist II” undergraduate courses, Universität Potsdam.
2020-Fall
“Mathematics for Physicist I” undergraduate course, Universität Potsdam.
2020-Spring
“Heat Kernel” master course, and “Mathematics for Physicist IV” undergraduate course, Universität Potsdam.
2019-Fall
“Mathematics for Physicist III” undergraduate course, Universität Potsdam.
2018-Fall
“Differential Geometry” master course, and “Calculus en Analyse” undergraduate course, KU Leuven.
2018-Spring
“G-Structures” master course, KU Leuven.
2017-Fall
“Calculus en Analyse” undergraduate course, KU Leuven.
2016-Fall
“Calculus en Analyse” undergraduate course, KU Leuven.
2015-Fall
“Calculus en Analyse” undergraduate course, KU Leuven.
2010-Spring
“Matemáticas I” & “Matemáticas III” undergraduate courses, UCV.
2009-Fall
“Matemáticas I” & “Matemáticas III” undergraduate courses, UCV.
2009-Spring
“Matemáticas II” undergraduate course, UCV.
2008-Fall
“Matemáticas I” undergraduate course, UCV.
2008-Spring
“Matemáticas II” undergraduate course, UCV.
2007-Fall
“Matemáticas I” undergraduate course, UCV.

Event Organization

2021-Feb
International Online Conference: Microlocal and Global Analysis, Interactions with Geometry
together with Prof. Sylvie Paycha, Universität Potsdam, Germany.
2020-Oct
Virtual Workshop for Young Researchers: Singular Foliations and Related Structures
together with Leonid Ryvkin, Universität Potsdam and Universität Duisburg Essen, Germany.
2020-Feb
International Conference: Microlocal and Global Analysis, Interactions with Geometry
together with Prof. Sylvie Paycha, Universität Potsdam, Germany.
2019-May
Workshop on Singular Foliations
together with Ori Yudilevich and Prof. Marco Zambon, KU Leuven, Belgium.
2018-Jul
Exposition of portraits: “Woman of Mathematics”
Science Library of KU Leuven, Belgium.
2017-Jun
Fourth Young Mathematicians Colloquium
Vrije Universiteit Brussels, Belgium.

Learning Seminars organized

2020 till 23
Webinar: “Good Morning SFARS”, together with Leonid Ryvkin, Universität Potsdam and Universität Duisburg Essen, Germany.
2020-Fall
“On Integrability of Lie Brackets”, together with Sylvie Paycha, Universität Potsdam.
2020-Spring
“On Index Theory and Deformation Quantization”, together with Mehran Seyedhosseini, Universität Potsdam.

Mentoring

Malte Leimbach
Co-adviser (with Prof. Sylvie Paycha) for Master thesis at Freie Universität Berlin
on differential operators for foliations, Oct 2020 – Jul 2021.
Nicola de Feo
Informal host during Erasmus exchange at KU Leuven; worked with Prof. Marco Zambon
on representations and integrability of Lie algebras, Mar – Jun 2018.

Teaching Training

2017-Feb
Faculty educational program for PhD students
KU Leuven, Belgium.
2011-Feb
Workshop: “1er Taller de experiencia docente”
Universidad Central de Venezuela, Caracas, Venezuela.

REFERENCES

Eva Miranda
UPC Barcelona, Spain. e.m.a.i.l:
eva.miranda $at$ upc.edu
Leonid Ryvkin
Université Claude Bernard Lyon 1, France. e.m.a.i.l:
leonid $at$ ryvkin.eu
Sylvie Paycha
Universität Potsdam, Germany. e.m.a.i.l:
paycha $at$ math.uni-potsdam.de
Marco Zambon
KU Leuven, Belgium. e.m.a.i.l:
marco.zambon $at$ kuleuven.be