I am a postdoc working in algebraic geometry in the group of
Jungkai Alfred Chen
at
National Taiwan University.
Before I was a PhD student of
Stefan Kebekus
at the
University of Freiburg.
Here is a
picture
of myself in Oberwolfach and here is my
CV.
My email is pnunez [at] ntu.edu.tw.
Curriculum Vitae
Working Experience
-
Postdoctoral researcher – National Taiwan University, Taipei, Taiwan
Postdoc in the working group of Jungkai Alfred Chen
September 2023 - Present
Education
-
PhD in Mathematics – University of Freiburg, Freiburg, Germany
Categorical aspects of Campana orbifolds, supervised by Stefan Kebekus
September 2019 - July 2023
-
Master in Mathematics – University of Bonn, Bonn, Germany
Master's thesis: Derived categories of Fano fibrations
October 2017 - July 2019
-
Bachelor in Mathematics – Complutense University and LMU Munich (Erasmus), Madrid, Spain
Bachelor's thesis: Blow-ups in algebraic geometry
September 2013 - August 2017
Publications and Preprints
-
Extension of adapted differentials on klt orbifolds
Preprint: arXiv:2411.17268
-
The Albanese morphism for hyperelliptic varieties
with Pieter Belmans and Andreas Demleitner
Preprint: arXiv:2411.14814
-
Adapted differentials as a qfh-sheaf
Mathematische Zeitschrift 304, 68 (2023). DOI:10.1007/s00209-023-03330-6
Preprint: arXiv:2210.07968
-
A note on semiorthogonal decompositions for Fano fibrations
Geometriae Dedicata 216, 20 (2022). DOI:10.1007/s10711-022-00680-z
Preprint: arXiv:2002.10987
Teaching Experience
-
Calculus 1, 2, 3 and 4 – Lecturer, National Taiwan University
First year calculus for economics majors
Academic Year 2024/2025
-
Elementary Geometry – Assistant*, University of Freiburg
Lecturer: Annette Huber-Klawitter
Summer Term 2023
-
Riemann Surfaces – Assistant*, University of Freiburg
Lecturer: Stefan Kebekus
Winter Term 2022/2023
-
Elementary Geometry – Assistant*, University of Freiburg
Lecturer: Annette Huber-Klawitter
Summer Term 2022
-
Algebra and Number Theory – Assistant*, University of Freiburg
Lecturer: Annette Huber-Klawitter
Winter Term 2021/2022
-
Introduction to Algebra – Tutor**, University of Bonn
Lecturer: Jan Schröer
Winter Term 2018/2019
-
Linear Algebra for Informatics and Teachers – Tutor**, University of Bonn
Lecturer: Thoralf Räsch
Summer Term 2018
* The job of an assistant in Germany is to create exercise sheets and coordinate the exercise classes.
** The job of a tutor in Germany is to grade homework and discuss its solutions in an exercise class.
Invited Talks
-
NCTS One-Day Workshop on Arithmetic and Algebraic Geometry – Taipei, Taiwan
Title: On the Albanese morphism of hyperelliptic varieties
20 February 2025
-
NCKU Algebraic Geometry Seminar – Tainan, Taiwan
Title: Indecomposability of derived categories of threefolds on the Noether line
18 April 2024
-
NCTS Seminar in Algebraic Geometry – Taipei, Taiwan
Title: Indecomposability of derived categories of hyperelliptic manifolds
20 October 2023
-
Luxembourg algebraic geometry seminar – Esch-sur-Alzette, Luxembourg
Title: Adapted differentials on Campana orbifolds
22 March 2023
-
NCTS Seminar in Algebraic Geometry (online) – Taipei, Taiwan
Title: Adapted differentials on Campana orbifolds
6 February 2023
-
Red de Doctorandos en Matemáticas UCM (online) – Madrid, Spain
Title: Categorías derivadas y geometría birracional
22 March 2022
Contributed Talks
-
9th European Congress of Mathematics – Seville, Spain
Title: Adapted differentials as a qfh-sheaf
15 July 2024
-
Géométrie Algébrique en Liberté XXIX – Orsay, France
Title: Semiorthogonal decompositions on Fano fibrations
24 May 2022
-
2nd BYMAT Conference – Madrid, Spain
Title: Derived categories of Fano varieties and Mori fibre spaces
21 May 2019
Scholarships and Funding
-
Geometric and Arithmetic Frontiers of Orbifolds II – Strasbourg, France
Funded by IRMA to attend their workshop
June 2023
-
Oberwolfach Leibniz Graduate Students (OWLG) – Oberwolfach, Germany
Funded by MFO to attend the Komplexe Analysis workshop at Oberwolfach
April 2023
-
2nd BYMAT Conference – Madrid, Spain
Funded by ICMAT to attend their conference
May 2019
-
Geometry Summer School – Utrecht, Netherlands
Funded by Utrecht University to attend their summer school
August 2017
-
Erasmus Scholarship – Munich, Germany
Studied at the LMU as an Erasmus exchange student
Course 2016/2017
-
Dynamical Systems Summer School – Lisbon, Portugal
Funded by the Gulbenkian Foundation to attend their summer school
July 2015
Conferences, Workshops and Schools Attended
-
2025 Summer Research Institute in Algebraic Geometry – Fort Collins, CO, USA
Colorado State University
14 July to 1 August 2025 (Upcoming)
-
NCTS One-Day Workshop on Arithmetic and Algebraic Geometry – Taipei, Taiwan
National Taiwan University
20 February 2025
-
2025 TMS Annual Meeting – Taoyuan, Taiwan
National Central University
14 to 15 January 2025
-
Introduction to Nevanlinna Theory, Hyperbolicity and Arithmetic Dynamic – Taipei, Taiwan
Academia Sinica
2 to 3 January 2025
-
Algebraic Geometry in Taipei – Taipei, Taiwan
National Taiwan University
2 to 6 December 2024
-
Mini-Workshop: Young Perspectives in Algebraic Geometry – Taipei, Taiwan
National Taiwan University
25 to 26 November 2024
-
9th European Congress of Mathematics – Seville, Spain
Universidad de Sevilla
15 to 19 July 2024
-
Transcendental aspects of algebraic geometry – Cetraro, Italy
Grand Hotel San Michele
1 to 5 July 2024
-
2024 TMS Annual Meeting – Taipei, Taiwan
National Chengchi University
22 to 23 January 2024
-
NCTS-Kyoto Mathematics Symposium – Taipei, Taiwan
NCTS (National Center for Theoretical Sciences)
9 December 2023
-
Birational Geometry and Algebraic Dynamics – Tokyo, Japan
Graduate School of Mathematical Sciences, University of Tokyo
27 November to 1 December 2023
-
Algebraic Geometry in East Asia – Seoul, South Korea
KIAS (Korea Institute For Advanced Study)
6 to 10 November 2023
-
Geometric and Arithmetic Frontiers of Orbifolds II – Strasbourg, France
IRMA (Institut de recherche mathématique avancée)
5 to 9 April 2023
-
Komplexe Analysis — Differential and Algebraic methods in Kähler spaces – MFO, Germany
MFO (Mathematisches Forschungsinstitut Oberwolfach)
9 to 14 April 2023
-
Crash Course Condensed Mathematics – Freiburg, Germany
University of Freiburg
13 to 17 March 2023
-
Abschlusskolloquium of GK "Cohomological Methods in Geometry" – Freiburg, Germany
University of Freiburg
14 to 15 July 2022
-
Birational Geometry conference – Lausanne, Switzerland
EPFL (École Polytechnique Fédérale de Lausanne)
13 to 17 June 2022
-
Géométrie Algébrique en Liberté XXIX – Orsay, France
Laboratoire de Mathématiques d'Orsay
23 to 27 May 2022
-
Workshop Higher Algebra – Darmstadt, Germany
Technical University of Darmstadt
16 to 18 March 2022
-
New Techniques in Resolution of Singularities (online participant) – MFO, Germany
MFO (Mathematisches Forschungsinstitut Oberwolfach)
24 to 30 October 2021
-
Workshop on K-theory, algebraic cycles and motivic homotopy theory – Cambridge, UK
Isaac Newton Institute for Mathematical Sciences
13 to 17 January 2020
-
o-Minimal Structures in Algebraic Geometry Summer School – Freiburg, Germany
University of Freiburg
9 to 13 September 2019
-
Moduli and Stability conditions Summer School – Hannover, Germany
University of Hannover
29 July to 2 August 2019
-
2nd BYMAT Conference – Madrid, Spain
ICMAT (Instituto de Ciencias Matemáticas)
20 to 24 May 2019
-
Geometry Summer School – Utrecht, Netherlands
Utrecht University
14 to 25 August 2017
-
Partial Differential Equations Summer School – Lisbon, Portugal
Fundação Calouste Gulbenkian
4 to 8 July 2016
-
Dynamical Systems Summer School – Lisbon, Portugal
Fundação Calouste Gulbenkian
6 to 10 July 2015
-
Algebraic Geometry Summer School – Lisbon, Portugal
Fundação Calouste Gulbenkian
14 to 18 July 2014
Languages
- Spanish: Native speaker
- German: C1 level (Goethe-Zertifikat C1)
- English: C1 level (IELTS with score 8)
- Mandarin: B1 level (HSK3 + HSKK Basic)
Other Interests and Activities
-
World Space Observatory – Ultraviolet – Madrid, Spain
Internship at the WSO-UV space telescope project
1 to 31 July 2015
-
Astronomy – International Astronomical Youth Camp 2014 – Weyer, Austria
Observational astronomy and weather modeling with Matlab
20 July to 9 August 2014
-
Programming – Android application development I, II and III, Madrid, Spain
Courses taken at TEIDE Centros de Formación
2013
-
Piano – Escuela de música y danza, Madrid, Spain
Piano, musical language and its theory, harmony and chamber music
2005 to 2012
Research interests
Birational classification of algebraic varieties and derived categories of algebraic varieties.
More specifically:
- Campana's birational classification program and differential forms therein.
(See this talk for more details.)
- Semiorthogonal decomopositions and their relation to the minimal model program.
(See this talk for more details.)
Publications and preprints
- Extension of adapted differentials on klt orbifolds.
Preprint: arXiv:2411.17268.
- The Albanese morphism for hyperelliptic varieties,
with Pieter Belmans and Andreas Demleitner.
Preprint: arXiv:2411.14814.
- Adapted differentials as a qfh-sheaf.
Mathematische Zeitschrift 304, 68 (2023). DOI:10.1007/s00209-023-03330-6.
Preprint: arXiv:2210.07968.
- A note on semiorthogonal decompositions for Fano fibrations.
Geometriae Dedicata 216, 20 (2022). DOI:10.1007/s10711-022-00680-z.
Preprint: arXiv:2002.10987.
PhD, master's and bachelor's theses
Thanks to Julia Schneider for giving me this idea, and thanks to Claude for helping me implement it.
Email:
pnunez [at] ntu.edu.tw
Address:
National Taiwan University
Department of Mathematics
No. 1, Sec. 4, Roosevelt Rd.,
Taipei 10617, Taiwan
Office:
Astronomy - Mathematics Building,
Room 448
Office hours:
Wednesdays 13:00-15:00 in my office
Claude AI
I started using Claude AI for math research and other tasks in January 2025.
I was pleasantly surprised by how convenient it is, especially with the custom style of response specified here:
github.com/pedro-nunez/claude
Thanks to Bastiaan Cnossen for introducing this to me!
LaTeX templates
- My basic LaTeX templates.
They are a bit minimalistic, and they include a script to quickly create new LaTeX documents with corresponding (private) GitHub repository from a Linux terminal.
- Pieter Belman's GitHub LaTeX template.
It comes with a very nice GitHub workflow,
which allows you to compile the PDF file directly on GitHub.
So you can even edit and compile your TeX files comfortably on your phone.
Some links