Daniele Zuddas

Daniele Zuddas

Research Fellow in Geometric Topology

Contact information
Korea Institute for Advanced Study
85 Hoegiro, Dongdaemun-gu
Seoul 02455
Republic of Korea
Office 1426

Research

My research field is the geometric topology of low-dimensional manifolds.
As main tools I use branched coverings, Kirby diagrams, and Lefschetz fibrations.
I am an organizer of KIAS Topology Seminar (with Min Hoon Kim, Kyungbae Park and Hyung-Seok Shin).

Published articles

  1. On embeddings of almost complex manifolds in almost complex Euclidean spaces
    with Antonio J. Di Scala and Naohiko Kasuya.
    Journal of Geometry and Physics 101 (2016), 19-26.
  2. Universal Lefschetz fibrations and Lefschetz cobordisms
    Geometry & Topology Monographs 19 (2015), 125-144.
  3. Lefschetz fibrations over the disc
    with Nikos Apostolakis and Riccardo Piergallini.
    Proceedings of the London Mathematical Society 107 (2013), 340-390.
  4. Universal Lefschetz fibrations over bounded surfaces
    Algebraic & Geometric Topology 12 (2012), 1811-1829.
  5. Embedding almost-complex manifolds in almost-complex Euclidean spaces
    with Antonio J. Di Scala.
    Journal of Geometry and Physics 61 (2011), 1928-1931.
  6. Representing Dehn twists with branched coverings
    International Mathematics Research Notices, Vol. 2009 (2009), No. 3, 387-413.
  7. A universal ribbon surface in B4
    with Riccardo Piergallini.
    Proceedings of the London Mathematical Society (3) 90 (2005), 763-782.
  8. Some remarks on Bergmann metrics
    with Andrea Loi.
    Rivista di Matematica della Università di Parma 4 n. 6 (2001), 71-86.
  9. Braiding non-orientable surfaces in S4
    with Riccardo Piergallini.
    Atti del Seminario Matematico e Fisico dell'Università di Modena e Reggio Emilia, suppl. vol. IL (2001), 229-239.

Preprints

  1. Non-Kähler complex structures on R4
    with Antonio J. Di Scala and Naohiko Kasuya.
    Geometry & Topology (in press).
  2. Non-Kähler complex structures on R4 II
    with Antonio J. Di Scala and Naohiko Kasuya.
  3. On branched covering representation of 4-manifolds
    with Riccardo Piergallini.

PhD thesis


Curriculum Vitae

Download my
Curriculum Vitae

Current position

    Research fellow in Mathematics, Korea Institute for Advanced Study, Seoul, Republic of Korea.
    Contract period: November 20, 2013 - November 19, 2017. Including research grant.

Education

  • PhD in Mathematics obtained in March 10, 2008 at Scuola Normale Superiore in Pisa.
    Final vote of 70/70 cum laude. Title of the thesis: "Branched coverings and 4-manifolds".
    Supervisor: prof. Riccardo Piergallini.
  • Degree in Mathematics obtained in July 19, 2000 at the University of Camerino (Italy).
    Final vote of 110/110 cum laude. Title of the thesis: "Two-dimensional braids" (in italian).
    Supervisor: prof. Riccardo Piergallini.

Scientific activities,
academic positions
and doctoral studies

  • 5-8 October 2015. Visiting fellow at the University of Cagliari, Italy, working with Prof. Andrea Loi.
  • 11 April - 2 May 2015. Visiting fellow at the University of Cagliari, Italy, working with Prof. Andrea Loi.
  • 12 January 2015 - 13 March 2015. Grey Fellowship in Mathematics, Grey College, Durham University, United Kingdom.
  • 13-24 November 2014. Research stay at Osaka City University, Japan.
  • 1-18 June 2014. Research stay at Osaka City University, Japan.
  • 7-11 April 2014. Research stay at the Politecnico di Torino, Italy.
  • 1 January 2013 - 30 June 2013. Research visiting position at the Max Planck Institute for Mathematics in Bonn, Germany (special semester on 4-manifolds and their combinatorial invariants). Supported by a grant from the Max Planck Society.
  • 31 May 2010 - 30 May 2012. Research fellowship in Mathematics at the University of Cagliari, Italy. Supported by a European research grant.
  • 22 June 2011 - 11 July 2011. Research stay at the City University of New York, USA (prof. Nikos Apostolakis). Supported by an INdAM visiting grant.
  • 30 January 2009 - 30 May 2010. Research fellowship in Mathematics at the University of Cagliari, Italy. Supported by a European research grant.
  • 10 December 2007 - 9 December 2008. Research fellowship at Scuola Normale Superiore in Pisa, Italy. Supported by a European research grant.
  • 1 January 2001 - 31 December 2003. PhD position in Mathematics at Scuola Normale Superiore in Pisa, Italy (including a three years fellowship).

Invited talks

  1. Topological 4-manifolds and branched coverings, December 11, 2015, University of Cagliari, Italy.
  2. New complex structures on R4, October 7, 2015, Politecnico di Torino, Italy.
  3. Complex structures on R4 of Calabi-Eckmann type, September 25, 2015, University of Parma, Italy.
  4. New complex structures on R4, April 15, 2015, University of Cagliari, Italy.
  5. A non-standard complex structure on R4 of Calabi-Eckmann type, March 2, 2015, University of Glasgow, United Kingdom.
  6. Topological 4-manifolds as branched covers of S4 (series of four talks), January-March 2015, Durham University, United Kingdom.
  7. Topological 4-manifolds as branched covers of S4, "4-Dimensional Topology", Osaka City University, November 21-23, 2014, Japan.
  8. Cobordism groups of Lefschetz fibrations, "N-KOOK Seminar", Osaka City University, June 14, 2014, Japan.
  9. An equivalence theorem for Lefschetz fibrations over the disk, "Friday Seminar on Knot Theory", Osaka City University, June 13, 2014, Japan.
  10. An equivalence theorem for Lefschetz fibrations over the disk, "OCAMI Workshop on Knots and Related Topics", Osaka City University, June 7-8, 2014, Japan.
  11. Lefschetz fibrations on 4-manifolds, branched coverings, and related topics (series of four lectures), January 27-28, 2014, Seoul National University and Sungshin Women's University, Seoul, Republic of Korea.
  12. Universal Lefschtz fibrations, Congress of the Italian FIRB project "Differential Geometry and Geometric Function Theory", Florence, Italy, 23-25 October 2013.
  13. Lefschetz fibration structures on 4-dimensional 2-handlebodies, "ICDG 2010" (Veliko Tarnovo, Bulgaria, 6-10 September 2010). Supported by a European Science Foundation grant within the program CAST.
  14. Lefschetz fibration structures on 4-dimensional 2-handlebodies, "International Workshop on Global Analysis and PDE on Manifolds" (Sofia, 6-8 September 2010). Supported by a European Science Foundation grant within the program CAST.
  15. Symmetric curves, branched coverings and mapping classes, "Recent Advances in Complex and Real Geometry" (Levico Terme, September 27 - October 1, 2004).
  16. A universal surface in B4, "Proprietà geometriche delle varietà reali e complesse: nuovi contributi italiani" (Palermo, September 1-8, 2002).

Contributed talks

  1. Cobordisms of Lefschetz fibrations on 4-manifolds, "Knots and Low Dimensional Manifolds", a satellite conference of ICM 2014, August 22-26, 2014, Busan, Republic of Korea.
  2. Cobordisms of Lefschetz fibrations on 4-manifolds, "ICM 2014", August 13-21, 2014, Seoul, Republic of Korea.
  3. Cobordisms of Lefschetz fibrations, April 9, 2014, University of Pisa, Italy.
  4. Lefschetz fibrations and branched coverings, February 19, 2014, Korea Institute for Advanced Study, Seoul, Republic of Korea.
  5. Two-dimensional open book decompositions of 4-manifolds, February 17, 2014, Korea Institute for Advanced Study, Seoul, Republic of Korea.
  6. Contact geometry and stable maps, October 2011, University of Cagliari, Italy.
  7. Branched coverings and symplectic structures, March 2010, University of Cagliari, Italy.
  8. Lefschetz fibrations on 4-manifolds, April 2008, Scuola Normale Superiore, Pisa, Italy.
  9. Contact structures, December 2004, University of Cagliari, Italy.

Teaching activity and seminars

  • October 25, 2011. Seminar "Contact geometry and stable maps" at the Department of Mathematics and Informatics, University of Cagliari.
  • April - May 2011. Twelve lessons for an undergraduate course in Algebraic Topology, University of Cagliari.
  • March 25, 2010. Seminar "Branched coverings and symplectic structures" at the Department of Mathematics and Informatics, University of Cagliari.
  • May - June 2009. PhD course in Homology theory (Doctorate School in Mathematical and Informatics Sciences, University of Cagliari).
  • April 18, 2008. Seminar "Lefschetz fibrations on 4-manifolds", Scuola Normale Superiore in Pisa.
  • December 15, 2004. Seminar on contact structures, Department of Mathematics and Informatics, University of Cagliari.
  • September - October 2003. Cycle of six seminars on Kirby calculus, Imperial College, London.

Conference participation

  1. International conference "Braids in Seville", University of Seville, June 13-17, 2011. Supported by a European Science Foundation grant within the program CAST.
  2. "Workshop on Symplectic Geometry, Contact Geometry, and Interactions", Uppsala University, January 27-29, 2011. Supported by a European Science Foundation grant within the program CAST.
  3. CMI Summer School on "Floer Homology, Gauge Theory, and Low Dimensional Topology", Alfréd Rényi Institute of Mathematics (Hungarian Academy of Sciences), Budapest, June 5-26, 2004. Supported by a Clay Mathematics Institute grant.
  4. "EDGE Workshop on Contact Topology", Mathematisches Institut, University of Munich, February 19-22, 2003.
  5. International conference "Braids in Cortona", Palazzone di Cortona - Italy, June 19-22, 2002.
  6. "First Joint Meeting AMS-UMI", University of Pisa and Scuola Normale Superiore in Pisa, June 12-16, 2002.

Memberships

  • Member of the CAST (Contact and Symplectic Topology), a Research Networking Programme of the European Science Foundation, operating from January 27, 2010 to January 26, 2015.
  • Member of the Italian geometry group GNSAGA of INdAM.
  • Member of American Mathematical Society
  • Member of the Korean Mathematical Society.

Other information

  • Qualification for assistant professor in France ("Qualification aux fonctions de maître de conférences"), valid from February 5, 2014 to December 31, 2018.
  • Reviewer for the Zentralblatt MATH Database.

Language skills

  • Italian (native language).
  • Fluent in English.
  • Elementary knowledge of French.

Slides