I am currently a Phd graduate at the University of Florence. I completed a thesis on "Grid homology in lens spaces" under the supervision of Prof. Paolo Lisca.
I am interested in low dimensional topology, with a focus on knot theory and its many
connections with the topology of 3 and 4 dimensional manifolds.
My current work revolves around Khovanov and Knot Floer homologies,
especially Grid Homology in lens spaces.
email: daniele.celoria unifi.it or celoria mail.dm.unipi.it
Preprints
Some seminars and talks:
"Introduction to Khovanov homology" (Pisa)
"Elliptic surfaces and rational blowdown" (Pisa)
"Un invariante di concordanza per nodi dalle chirurgie di Dehn" (Pisa)
"Grid homology in lens spaces" (Bologna). Slides
"An introduction to Grid homology", minicourse (Pisa)
"Grid homology in lens spaces: coeffcients and computations" (CIRM). Slides
"Concordances in 3-manifolds" (SNS - Pisa- Lille)
"Concordances and HFK" (Pisa)
Attended schools and conferences
- Intensive Research Period "Knots and Applications", at the Centro De Giorgi, University of Pisa.
- CAST Summer School and Conference, at the Alfréd Rényi Institute of Mathematics in Budapest.
- (u,v,w knots) x (topology, combinatorics, low and high algebra) at the Centre for Quantum Geometry of Moduli Spaces, University of Aarhus.
- Physics and Mathematics of Link Homology, at the Centre de Recherche Mathèmatiques, Montreal.
- Young Topologist Meeting, at the Copenhagen University (there is also a nice group photo!).
- 10th William Rowan Hamilton Geometry and Topology Workshop, Trinity College of Dublin.
- XXII Gökova Geometry/Topology Conference, Gökova, Turkey.
- ECSTATIC, Imperial College, London.
- Stein Manifolds, Contact Structures and Knots , CIRM, Marseille.
- Varieta' reali e complesse: geometria, topologia e analisi armonica , SNS.
Future conferences
- Perspectives in topology and geometry of 4-manifolds (Dubrovnik)
- ECSTATIC 2 (London)
- Low Dimensional Summer School (Budapest)
Programs
Here you can find some (hopefully!) useful programs I have been writing in during my Phd.
Click on the images to get redirected to a Sage script!
Soon other programs will be added!
All the programs are released under a GNU General Public Licence.
Practically this means that you can use or modify them as you please, according to the copyleft model. Let me know if you encountered problems using them, or if you have suggestions!
About me
I am one of the organizers of the "Baby geometri" seminars at the University of Pisa.
I enjoy juggling any kind of objects, and thinking at all the math behind it.
I am a big fan of :
This site is under constant maintenance! If something is not working properly do not hesitate to contact me!