Pedro Núñez  紐培卓

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

• Algebraic Geometry meets Machine Learning – Tainan, Taiwan
  Title: Derived categories of hyperelliptic varieties
  29 April 2025
• Younger Generation of Algebraic Geometry 2025 – Penghu, Taiwan
  Title: Indecomposability of derived categories of threefolds on the Noether line
  19 April 2025
• 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

• 2025 Summer Research Institute in Algebraic Geometry – Fort Collins, CO, USA
  Title: Indecomposability of derived categories of hyperelliptic varieties
  July 2025 (Upcoming)
• 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

1. Extension of adapted differentials on klt orbifolds.
   Preprint: arXiv:2411.17268.
2. The Albanese morphism for hyperelliptic varieties,
   with Pieter Belmans and Andreas Demleitner.
   Preprint: arXiv:2411.14814.
3. Adapted differentials as a qfh-sheaf.
   Mathematische Zeitschrift 304, 68 (2023). DOI:10.1007/s00209-023-03330-6.
   Preprint: arXiv:2210.07968.
4. 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

• Categorical aspects of Campana orbifolds, PhD thesis written under the supervision of Stefan Kebekus at the University of Freiburg (2023).
• Derived categories of Fano fibrations, master's thesis written under the supervision of Luca Tasin and Pieter Belmans at the University of Bonn (2019).
• Blow-ups in algebraic geometry, bachelor's thesis written under the supervision of Nikita Semenov at the Ludwig-Maximilians-University of Munich (2017).

Scripts for seminar talks

• Differential Galois correspondence, script for a seminar on differential Galois theory organized by Annette Huber-Klavitter at the University of Freiburg (SS 22).
• Sites and Topologies, script for a seminar on Topos Theory and Logic organized by Luca Terenzi at the University of Freiburg (WS 21/22).
• Thom Isomorphism theorem, script for a seminar on K-theory organized by Luca Terenzi at the University of Freiburg (SS 21).
• Hilbert Schemes of points on surfaces, script for a seminar on Heisenberg algebras and Hilbert schemes of points on surfaces organized by Mara Ungureanu at the University of Freiburg (SS 21).
• Zariski Cancellation, script for a seminar on insightful examples organized by Oliver Braunling at the Uniersity of Freiburg (WS 20/21).
• Hitchin–Kobayashi correspondence, script for a seminar on Higgs bundles organized by Andriy Haydys at the University of Freiburg (SS 20).
• Condensed Abelian Groups, script for a seminar on condensed mathematics organized by Johan Commelin at the University of Freiburg (WS 19/20).
• Projective bundle formula, script for a seminar on characteristic classes of topological vector bundles organized by Fabian Hebestreit at the University of Bonn (WS 18/19).
• Riemann–Roch theorem for surfaces, script for a seminar on the classifcation of algebraic surfaces organized by Luca Tasin at the University of Bonn (SS 18).

Other notes

• Enumerative Geometry, notes for a seminar that I organized at the University of Freiburg (WS 20/21). (Here is the program.)

Thanks to Julia Schneider for giving me this idea, and thanks to Claude for helping me implement it.

Previous teaching

• Lecturer for Calculus 3 and 4 Class 10 (Calculus for Economics) during the Summer Term 2025 at National Taiwan University.
  
• Lecturer for Calculus 1 and 2 Class 10 (Calculus for Economics) during the Winter Term 2024/2025 at National Taiwan University.
• Teaching assistant for Elementary Geometry during the Summer Term 2023 at the University of Freiburg.
• Teaching assistant for Riemann Surfaces during the Winter Term 2022/2023 at the University of Freiburg.
• Teaching assistant for Elementary Geometry during the Summer Term 2022 at the University of Freiburg.
• Teaching assistant for Algebra and Number Theory during the Winter Term 2021/2022 at the University of Freiburg.
• Tutor for Introduction to Algebra during the Winter Term 2018/219 at the University of Bonn.
• Tutor for Linear Algebra for Informatics and Teachers during the Summer Term 2018 at the University of Bonn.

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

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

• MathSciNet.
• ORCID.
• Mathematics Genealogy Project.
• GitHub.