Curriculum Vitae

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Work Experience

• Postdoctoral Researcher, National Taiwan University (Taipei, Taiwan)
  Sep 2023 – Present
  In the group of Jungkai Alfred Chen.
  • Research focused on birational geometry and derived categories of coherent sheaves.
  • Participated in and organized various seminars and reading groups.

Participation in Research Projects

• Varieties of general type (NSTC114-2639-M-002-009-ASP), National Taiwan University (Taipei, Taiwan)
  Sep 2023 – Present
  Funded by National Science and Technology Council of Taiwan. PI: Jungkai Alfred Chen.
• GRK 1821: Cohomological Methods in Geometry, University of Freiburg (Freiburg, Germany)
  Sep 2019 – Aug 2021
  Funded by Deutsche Forschungsgemeinschaft (DFG).

Publications

1. Extension of adapted differentials on klt orbifolds.
   (Submitted.)
   Preprint: arXiv:2411.17268.
2. The Albanese morphism for hyperelliptic varieties.
   with Pieter Belmans and Andreas Demleitner.
   Indagationes Mathematicae (2025). DOI:10.1016/j.indag.2025.10.004.
   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.

Teaching Experience

• 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 2018/2019 at the University of Bonn.
• Tutor for Linear Algebra for Informatics and Teachers during the Summer Term 2018 at the University of Bonn.

Education

• PhD in Mathematics, University of Freiburg (Freiburg, Germany)
  Sep 2019 – Jul 2023
  Thesis: Categorical aspects of Campana orbifolds, supervised by Stefan Kebekus.
  • PhD title certified in Spain by the Autonomous University of Madrid.
  • Grade: magna cum laude.
• Master in Mathematics, University of Bonn (Bonn, Germany)
  Oct 2017 – Jul 2019
  Thesis: Derived categories of Fano fibrations.
  • Grade: 1.2 in the German system (approx. 9.5/10 in the Spanish system).
• Erasmus Exchange in Mathematics, LMU Munich (Munich, Germany)
  Sep 2016 – Jul 2017
  Exchange year during the Bachelor's.
• Bachelor in Mathematics, Complutense University of Madrid (Madrid, Spain)
  Sep 2013 – Aug 2017
  Thesis: Blow-ups in algebraic geometry.
  • Grade: 8.34/10 in the Spanish system.

Languages

• Spanish: native speaker.
• English: C1 level (IELTS with score 8).
• German: C1 level (Goethe-Zertifikat C1).
• Chinese: B1 level (HSK3 + HSKK Basic).

Invited Talks

• Indecomposability of derived categories of hyperelliptic varieties, 2026 Higher Dimensional Algebraic Geometry (17 Apr 2026), Taipei, Taiwan.
• Campana orbifolds and their morphisms, 61st Annual Meeting of the Taiwan Mathematical Society (22 Jan 2026), Chiayi, Taiwan.
• Campana orbifolds: between projective and logarithmic geometry, Taipei Postdoc Seminar (5 Nov 2025), Taipei, Taiwan.
• Adapted differentials on Campana orbifolds, KIAS Algebraic Geometry Seminar (31 Oct 2025), Seoul, South Korea.
• Derived categories and birational geometry, Colloquium talk at National Central University (23 Oct 2025), Taoyuan, Taiwan.
• Derived categories of threefolds on the Noether line, SJTU Algebraic Geometry Seminar (10 Oct 2025), Shanghai, China.
• Derived categories of threefolds on the Noether line, Fudan University Algebraic Geometry Seminar (8 Oct 2025), Shanghai, China.
• Derived categories and birational geometry, Mathematics Seminar at CUNEF University (22 Sep 2025), Madrid, Spain.
• Derived categories of hyperelliptic varieties, Algebraic Geometry meets Machine Learning (29 Apr 2025), Tainan, Taiwan.
• Indecomposability of derived categories of threefolds on the Noether line, Younger Generation of Algebraic Geometry 2025 (19 Apr 2025), Penghu, Taiwan.
• On the Albanese morphism of hyperelliptic varieties, NCTS One-Day Workshop on Arithmetic and Algebraic Geometry (20 Feb 2025), Taipei, Taiwan.
• Indecomposability of derived categories of threefolds on the Noether line, NCKU Algebraic Geometry Seminar (18 Apr 2024), Tainan, Taiwan.
• Indecomposability of derived categories of hyperelliptic manifolds, NCTS Seminar in Algebraic Geometry (20 Oct 2023), Taipei, Taiwan.
• Adapted differentials on Campana orbifolds, Luxembourg Algebraic Geometry Seminar (22 Mar 2023), Esch-sur-Alzette, Luxembourg.
• Adapted differentials on Campana orbifolds, NCTS Seminar in Algebraic Geometry (online) (6 Feb 2023), Taipei, Taiwan.
• Categorías derivadas y geometría birracional, Red de Doctorandos en Matemáticas UCM (online) (22 Mar 2022), Madrid, Spain.

Contributed Talks

• Indecomposability of derived categories of hyperelliptic varieties, 2025 Summer Research Institute in Algebraic Geometry (22 Jul 2025), Fort Collins, CO, USA.
• Adapted differentials as a qfh-sheaf, 9th European Congress of Mathematics (15 Jul 2024), Seville, Spain.
• Semiorthogonal decompositions on Fano fibrations, Géométrie Algébrique en Liberté XXIX (24 May 2022), Orsay, France.
• Derived categories of Fano varieties and Mori fibre spaces, 2nd BYMAT Conference (21 May 2019), Madrid, Spain.

Academic Visits

• Academic visit at Fudan University, Shanghai Center for Mathematical Sciences, Shanghai, China (28 Sep 2025 – 11 Oct 2025). Hosted by Meng Chen.

Other Academic Activities

• Organization of the international conference Tour de Formosa (co-organizer), Taiwan's East Coast (12 Jan 2026 – 16 Jan 2026). Organized jointly with Flora Poon.
• Organization of the NCTS Seminar in Algebraic Geometry (organizer), National Taiwan University, Taipei, Taiwan (Summer Term 2025). Invited external speakers to talk about their research.
• Organization of a seminar on deformation theory (co-organizer), National Taiwan University, Taipei, Taiwan (Summer Term 2025). Organized jointly with Flora Poon.
• Organization of a seminar on Hodge theory (co-organizer), National Taiwan University, Taipei and Xitou, Taiwan (Summer 2025). Organized jointly with Hsueh-Yung Lin.
• Organization of a seminar on enumerative geometry (organizer), University of Freiburg, Freiburg, Germany (Winter Term 2020/2021). Notes for the seminar are available on my homepage.
• Organization of a reading group on Grothendieck's EGA (organizer), University of Bonn, Bonn, Germany (Winter Term 2017/2018). Informal reading group with various other students.

Scholarships & Funding Received

• 2025 Summer Research Institute in Algebraic Geometry, Fort Collins, CO, USA (12 Jul 2025 – 26 Jul 2025). Funded by the NCTS and NSTC to attend the conference.
• Geometric and Arithmetic Frontiers of Orbifolds II, Strasbourg, France (5 Jun 2023 – 9 Jun 2023). Funded by IRMA to attend their workshop.
• Oberwolfach Leibniz Graduate Students (OWLG), Oberwolfach, Germany (9 Apr 2023 – 14 Apr 2023). Funded by MFO to attend the Komplexe Analysis workshop.
• 2nd BYMAT Conference, Madrid, Spain (20 May 2019 – 24 May 2019). Funded by ICMAT to attend their conference.
• Geometry Summer School, Utrecht, Netherlands (14 Aug 2017 – 25 Aug 2017). Funded by Utrecht University to attend their summer school.
• Erasmus Scholarship, Munich, Germany (Sep 2016 – Jul 2017). Funded by the European Union to study as an exchange student.
• Dynamical Systems Summer School, Lisbon, Portugal (6 Jul 2015 – 10 Jul 2015). Funded by the Fundação Calouste Gulbenkian to attend their summer school.

Conferences, Workshops, Schools and Courses Attended

• Mini-Workshop: Algebraic Geometry in Xitou, National Taiwan University / National Science and Technology Council, Xitou, Taiwan (19 Jul 2026 – 21 Jul 2026).
• 10th Pacific Rim Conference on Mathematics, Universidad Complutense de Madrid, Madrid, Spain (15 Jun 2026 – 19 Jun 2026).
• Topological and Geometric Deep Learning: Theory, Methods, and Applications, Academia Sinica, Taipei, Taiwan (11 May 2026 – 14 May 2026).
• NCTS Minicourse - Topics on Derived Categories of Coherent Sheaves, National Center for Theoretical Sciences, Taipei, Taiwan (22 Apr 2026 – 29 Apr 2026). Lecturer: Yujiro Kawamata.
• 2026 Higher Dimensional Algebraic Geometry, National Taiwan University, Taipei, Taiwan (13 Apr 2026 – 17 Apr 2026).
• 2026 Higher Dimensional Algebraic Geometry - Minicourses, National Taiwan University, Taipei, Taiwan (4 Apr 2026 – 10 Apr 2026).
• Meet with Prof. Chenyang Xu, National Center for Theoretical Sciences, Taipei, Taiwan (2 Apr 2026).
• 61st Annual Meeting of the Taiwan Mathematical Society, National Chung Cheng University, Chiayi, Taiwan (21 Jan 2026 – 22 Jan 2026).
• Tour de Formosa, National Taiwan University / National Science and Technology Council, Taiwan's East Coast (12 Jan 2026 – 16 Jan 2026).
• NCTS Minicourse on Gizatullin's problem, National Center for Theoretical Sciences, Taipei, Taiwan (24 Nov 2025 – 1 Dec 2025). Lecturer: Keiji Oguiso.
• 2025 Algebraic Geometry in East Asia, National Cheng Kung University, Tainan, Taiwan (10 Nov 2025 – 14 Nov 2025).
• 2025 Summer Research Institute in Algebraic Geometry, Colorado State University, Fort Collins, CO, USA (14 Jul 2025 – 1 Aug 2025).
• NCTS Minicourse on Deformation Theory, National Center for Theoretical Sciences, Taipei, Taiwan (2 May 2025 – 9 May 2025). Lecturer: Yujiro Kawamata.
• Algebraic Geometry meets Machine Learning, National Cheng Kung University, Tainan, Taiwan (27 Apr 2025 – 29 Apr 2025).
• Younger Generation of Algebraic Geometry 2025, National Taiwan University / National Science and Technology Council, Penghu, Taiwan (17 Apr 2025 – 19 Apr 2025).
• NCTS One-Day Workshop on Arithmetic and Algebraic Geometry, National Taiwan University, Taipei, Taiwan (20 Feb 2025).
• 60th Annual Meeting of the Taiwan Mathematical Society, National Central University, Taoyuan, Taiwan (14 Jan 2025 – 15 Jan 2025).
• Introduction to Nevanlinna Theory, Hyperbolicity and Arithmetic Dynamics, Academia Sinica, Taipei, Taiwan (2 Jan 2025 – 3 Jan 2025).
• Algebraic Geometry in Taipei, National Taiwan University, Taipei, Taiwan (2 Dec 2024 – 6 Dec 2024).
• Mini-Workshop: Young Perspectives in Algebraic Geometry, National Taiwan University, Taipei, Taiwan (25 Nov 2024 – 26 Nov 2024).
• Workshop in Hodge Theory, National Taiwan University / National Science and Technology Council, Xitou, Taiwan (21 Aug 2024 – 23 Aug 2024).
• 9th European Congress of Mathematics, Universidad de Sevilla, Seville, Spain (15 Jul 2024 – 19 Jul 2024).
• Transcendental aspects of algebraic geometry, Grand Hotel San Michele, Cetraro, Italy (1 Jul 2024 – 5 Jul 2024).
• NCTS Minicourse on Non-Commutative Geometry, National Center for Theoretical Sciences, Taipei, Taiwan (17 Apr 2024 – 29 Apr 2024). Lecturer: Yujiro Kawamata.
• Mini-Arbeitsgemeinschaft 2024: Severi-Brauer varieties, National Taiwan University / National Science and Technology Council, Hualien, Taiwan (26 Jan 2024 – 29 Jan 2024).
• 59th Annual Meeting of the Taiwan Mathematical Society, National Chengchi University, Taipei, Taiwan (22 Jan 2024 – 23 Jan 2024).
• NCTS-Kyoto Mathematics Symposium, National Center for Theoretical Sciences, Taipei, Taiwan (9 Dec 2023).
• Birational Geometry and Algebraic Dynamics, University of Tokyo, Tokyo, Japan (27 Nov 2023 – 1 Dec 2023).
• Algebraic Geometry in East Asia, Korea Institute For Advanced Study, Seoul, South Korea (6 Nov 2023 – 10 Nov 2023).
• Geometric and Arithmetic Frontiers of Orbifolds II, Institut de recherche mathématique avancée, Strasbourg, France (5 Jun 2023 – 9 Jun 2023).
• Differential and Algebraic methods in Kähler spaces, Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach, Germany (9 Apr 2023 – 14 Apr 2023).
• Crash Course Condensed Mathematics, University of Freiburg, Freiburg, Germany (13 Mar 2023 – 17 Mar 2023).
• Abschlusskolloquium of GK "Cohomological Methods in Geometry", University of Freiburg, Freiburg, Germany (14 Jul 2022 – 15 Jul 2022).
• Birational Geometry conference, École Polytechnique Fédérale de Lausanne, Lausanne, Switzerland (13 Jun 2022 – 17 Jun 2022).
• Géométrie Algébrique en Liberté XXIX, Laboratoire de Mathématiques d'Orsay, Orsay, France (23 May 2022 – 27 May 2022).
• Workshop Higher Algebra, Technical University of Darmstadt, Darmstadt, Germany (16 Mar 2022 – 18 Mar 2022).
• New Techniques in Resolution of Singularities, Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach, Germany (24 Oct 2021 – 30 Oct 2021, online).
• K-theory, algebraic cycles and motivic homotopy theory, Isaac Newton Institute for Mathematical Sciences, Cambridge, UK (13 Jan 2020 – 17 Jan 2020).
• o-Minimal Structures in Algebraic Geometry Summer School, University of Freiburg, Freiburg, Germany (9 Sep 2019 – 13 Sep 2019).
• Moduli and Stability conditions Summer School, University of Hannover, Hannover, Germany (29 Jul 2019 – 2 Aug 2019).
• 2nd BYMAT Conference, Instituto de Ciencias Matemáticas, Madrid, Spain (20 May 2019 – 24 May 2019).
• Geometry Summer School, Utrecht University, Utrecht, Netherlands (14 Aug 2017 – 25 Aug 2017).
• Partial Differential Equations Summer School, Fundação Calouste Gulbenkian, Lisbon, Portugal (4 Jul 2016 – 8 Jul 2016).
• Dynamical Systems Summer School, Fundação Calouste Gulbenkian, Lisbon, Portugal (6 Jul 2015 – 10 Jul 2015).
• Algebraic Geometry Summer School, Fundação Calouste Gulbenkian, Lisbon, Portugal (14 Jul 2014 – 18 Jul 2014).

Additional Formation

• Internship at the WSO-UV space telescope project, Madrid, Spain (1 Jul 2015 – 31 Jul 2015). Time-series analysis from ultraviolet spectroscopy measurements using Matlab.
• International Astronomical Youth Camp 2014, Weyer, Austria (20 Jul 2014 – 9 Aug 2014). Observational astronomy and climate modeling using Matlab.
• Android application development I, II and III, Madrid, Spain (Jan 2013 – Jun 2013). Courses taken at TEIDE Centros de Formación.