Personal Address: 19 Drosi Street, Athens
GR-11474, Greece
Work address: Department of Mathematics,
National and Kapodistrian University of Athens,
Panepistimiopolis, GR-157 84 Athens, Greece
Work Telephone: (+30)2107276423
Work Fax: (+30)2107276378
[email protected]
Citizenship/Nationality: Greek
Date/Place of Birth: Athens, Feb. 6 1973
Civil Status: Married, 1 child
Iakovos Androulidakis
Curriculum Vitæ, February 2015
Academic background
Research interests
4 Noncommutative Differential Geometry (Index theory for Singular foliations).
January 2012 –
Positions
4 Assistant Professor in Mathematics Department, University of Athens, Greece.
August 2009 – July 2011
4 Researcher (with a DFG Fellowship), University of Göttingen, Mathematics Institute.
Sept. 2008 – June 2009
4 Researcher, Centro de Matemática da Universidade do Porto, Portugal.
Oct. 2006 – June 2008
4 Visiting Assistant Professor, Department of Mathematics, University of Crete,
Greece.
Sept. 2005 – Sept. 2006
4 Research Assistant, Institut für Mathematik, Universität Zürich, Switzerland.
Sept. 2004 – July 2005
4 Postdoctoral Fellow of EU-RTN “Quantum Spaces and Noncommutative Geometry”,
Université Paris 7 (Projet: Algèbres d’ Opérateurs et Reprèsentations), France.
May 2002 – August 2004
4 National Service and medical recovery.
Sept. 2001 – Jan. 2002
4 Postdoctoral Fellow of EU-RTN “European Differential Geometry Endeavour”, Instituto Superior Tecnico, Lisbon, Portugal.
Sept. 10, 2001
4 PhD viva voce, University of Sheffield.
2015
Prizes/Awards/Grants
4 "Chercheur Visiteur", Université Paris 7, Denis Diderot (covering only travelling/accomodation expenses).
4 DFG Grant for visits to the Institute of Mathematics, University of Goettingen
(covering only travelling/accomodation expenses).
4 "Shapiro Visiting Professorship". Department of Mathematics, Penn State University, U.S.A. (covering only travelling/accomodation expenses)
2013
4 "Constantin Carathéodory" prize of the National and Kapodistrian University of
Athens (2500 euros). Awarded annually to one Assistant Professor of NKUA, for
exceptional distinction in research and teaching.
2012
4 Prize of the Academy of Athens to a joint publication with V. Nestoridis (prize
awarded to V. Nestoridis).
Academic background (continued)
2011
4 Maitre de conferences visiteur, Université de Toulouse Paul Sabbatier, France.
4 Marie Curie Career Integration Grant – FP7-PEOPLE-2011-CIG http://users.
uoa.gr/~iandroul/NCGSF.html (50000 euros).
2008
4 FCT (Portugal) grant for research proposal "Topological Invariants via Differential
Geometry" PTDC/MAT/098770/2008. (http://cmup.fc.up.pt/cmup/pbgothen/
tidg/)
2007
4 Ciencias 2007 competition, Portuguese Sciences Foundation (FCT-Portugal). 5 years
Research position at the University of Porto.
(Accepted research position in Göttingen, starting August 2009.)
2005
4 C.N.R.S. Research Fellowship (12 months) for Université Blaise Pascal, CelrmontFerrand 2.
(Position in Zürich was chosen instead.)
2000
4 T. M. Flett Award, Faculty of Sciences, University of Sheffield.
1997
4 Scholarship for PhD studies abroad in Differential Geometry, Greek State Scholarships Foundation.
Other contributions
4 Supervised MSc dissertations of 3 students (2 completed and 1 ongoing).
4 Reviewer for AMS, Zentralblatt.
4 Referee for Annals of Mathematics
May 2002 – July 2003
National Service
4 Assigned to Hellenic Ministry of Foreign Affairs, Bureau of the Hellenic Presidency
of the E.U.
Education
Sept. 1997 – Jan. 2002
4 PhD in Pure Mathematics at the University of Sheffield, U.K. Thesis entitled “Extensions and cohomology of Lie algebroids and Lie
groupoids”. Thesis advisor Dr Kirill Mackenzie. Date of Viva Voce:
September 10, 2001.
Sept. 1995 – July 1997
4 MSc in Pure Mathematics (Postgraduate Diploma of Specialization),
National and Kapodistrian University of Athens, Greece. Dissertation
entitled “Differential Spaces”. Advisor Dr Maria Papatriantafyllou.
Sept. 1990 – July 1995
4 BSc in Pure Mathematics (Ptychio), National and Kapodistrian University of Athens, Greece.
Publications
Research papers
1. arxiv:1205.6008
4 Iakovos Androulidakis and Marco Zambon Holonomy transformations for singular foliations. Adv. Math., 256 : 348-397, 2014.
Citations:
1.
2. arxiv:1111.1327
E.M. Babalic and C. I. Lazaroiu Singular foliations for M-theory
compactification. Preprint arXiv:1411.3497v1
4 Iakovos Androulidakis and Marco Zambon Smoothness of
holonomy covers for singular foliations and essential isotropy. Math.
Z., 275(3-4) : 921-951, 2013.
Citations:
1.
C. Debord Mémoie d’Habilitation à diriger des recherches en
Mathématiques.
Université Blaise Pascal, Clermont-Ferrand,
November 2014.
http://math.univ-bpclermont.fr/~debord/
synthese11-11-14.pdf
2.
C. Debord Longitudinal smoothness of the holonomy groupoid.
C.R., Math., Acad. Sci. Paris 351(15-16) : 613-616, 2013.
3. DOI : 10.1016/j.crma.2011.06.002
4 Iakovos Androulidakis and Vassili Nestoridis Extensions of
the disc algebra and of Mergelyan’s theorem. C.R., Math., Acad.
Sci. Paris 349(13-14) : 745-748, 2011.
Citations:
1.
M. Fragoulopoulou, V. Nestoridis and I. Papadoperakis
Some results on spherical approximation. Bull. Lond. Math. Soc. 6
: 1171-1180, 2013.
2.
V. Nestoridis Universal Padé approximants with respect to the
chordal metric. Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 47(4) : 168-181, 2012.
3.
V. Nestoridis Compactifications of the Plane and Extensions of
the Disc Algebra. Centre de Recherches Mathématiques Montrèal
Proceedings and Lecture Notes (Editors: André Boivin and Jarad
Mashreghi). 55 : 61-75, 2012.
Publications (continued)
4. arXiv:1004.3797
4 Iakovos Androulidakis and Georges Skandalis The analytic
index of elliptic pseudodifferential operators on singular foliations.
Journal of K-theory 8(03) : 363-385, 2011.
Citations:
1.
C. Debord Mémoie d’Habilitation à diriger des recherches en
Mathématiques.
Université Blaise Pascal, Clermont-Ferrand,
November 2014.
http://math.univ-bpclermont.fr/~debord/
synthese11-11-14.pdf
2.
C. Debord and G. Skandalis Adiabatic groupoid, crossed product
by R∗+ and Pseudodifferential calculus. Adv. Math. 257(2014), 66-91.
Preprint arXiv:1307.6320
3.
L. Guillaume Pseudodifferential calculus on manifolds with fibered
corners: The groupoid of the phi-calculus. http://l.guillaume.
math.free.fr/FibredCorners_v3.pdf
4.
C. Debord Longitudinal smoothness of the holonomy groupoid.
C.R., Math., Acad. Sci. Paris 351(15-16) : 613-616, 2013.
5.
L. Guillaume Géométrie non-commutative et calcul pseudodifferentiel sur les variétés à coins fibrés. PhD thesis (2012), Université
Toulouse III Paul Sabatier. http://thesesups.ups-tlse.fr/1788/
6.
Claire Debord, Jean-Marie Lescure and Frédéric Rochon
Pseudodifferential calculus on manifolds with fibred corners. Preprint
arXiv:1112:4575
Publications (continued)
5. arXiv:math.DG/0909.1342
DOI: 10.4171/JNCG/72
4 Iakovos Androulidakis and Georges Skandalis Pseudodifferential calculus on a singular foliation. Journal of Noncommutative
Geometry 5(1) : 125-152, 2011.
Citations:
1.
Jean-Marie Lescure, Dominique Manchon, Stéphane Vassout. About the convolution of distributions on groupoids. <hal01113881> https://hal.archives-ouvertes.fr/hal-01113881/
2.
V. Nistor and N. Prudhon Exhausting families of representations and spectra of pseudodifferential operators. Preprint
arXiv:1411.7921
3.
C. Debord Mémoie d’Habilitation à diriger des recherches en
Mathématiques.
Université Blaise Pascal, Clermont-Ferrand,
November 2014.
http://math.univ-bpclermont.fr/~debord/
synthese11-11-14.pdf
4.
C. Debord Longitudinal smoothness of the holonomy groupoid.
C.R., Math., Acad. Sci. Paris 351(15-16) : 613-616, 2013.
Publications (continued)
6. arXiv:math.DG/0612370
4 Iakovos Androulidakis and Georges Skandalis The holonomy
groupoid of a singular foliation. J. Reine Angew. Math. 626 : 1-37,
2009.
Citations:
1.
F. Pelletier Geometrical structures on the prolongation of a quasialgebroid on fibered manifolds and application to partial Finsler geometry on foliated anchored bundle. Preprint arXiv:1412.6742
2.
V. Nistor and N. Prudhon Exhausting families of representations and spectra of pseudodifferential operators. Preprint
arXiv:1411.7921
3.
C. Debord Mémoie d’Habilitation à diriger des recherches en
Mathématiques.
Université Blaise Pascal, Clermont-Ferrand,
November 2014.
http://math.univ-bpclermont.fr/~debord/
synthese11-11-14.pdf
4.
E.M. Babalic and C. I. Lazaroiu Singular foliations for M-theory
compactification. Preprint arXiv:1411.3497v1
5.
Yahua Turki A Lagrangian for Hamiltonian vector fields on singular
Poisson manifolds. Preprint arXiv:1401.1708
6.
L. Guillaume Pseudodifferential calculus on manifolds with fibered
corners: The groupoid of the phi-calculus. http://l.guillaume.
math.free.fr/FibredCorners_v3.pdf
7.
C. Debord and G. Skandalis Adiabatic groupoid, crossed product
by R∗+ and Pseudodifferential calculus. Adv. Math. 257(2014), 66-91.
Preprint arXiv:1307.6320
8.
C. Debord Longitudinal smoothness of the holonomy groupoid.
C.R., Math., Acad. Sci. Paris 351(15-16) : 613-616, 2013.
9.
L. Guillaume Géométrie non-commutative et calcul pseudodifferentiel sur les variétés à coins fibrés. PhD thesis (2012), Université
Toulouse III Paul Sabatier. http://thesesups.ups-tlse.fr/1788/
10.
Arraut, J.L., Martins, L.F. and Schutz, D. On Singular foliations on the solid torus. Topology Appl. 160(13) : 1659-1674, 2013.
11. A. Fermi Higher Lefshetz invariants for foliated manifolds. PhD
thesis, Goettingen 2012.
https://ediss.uni-goettingen.de/
bitstream/handle/11858/00-1735-0000-000D-F062-D/fermi.
pdf?sequence=1
12. Olivier Gabriel Norm inequality and partition of (pure) states in
C(M )⊗Mn (C). Draft, http://xwww.uni-math.gwdg.de/ogabriel/
distance.pdf
13. B. Monthubert and V. Nistor The K-groups and the index theory of certain comparison C ∗ -algebras. Noncommutative Geometry
and Global Analysis, Contemp. Math. 546 : 213-224, 2011.
14. Nuria Corral Infinitesimal initial part of a singular foliation. Anais
da Academia Brasileira De Ciencias 81(4) : 633-640, 2009.
15. Luca Stefanini On morphic actions and integrability of LAgroupoids. PhD thesis, Zürich 2009. Preprint arXiv:0902.2208
16. C. Blohmann and A. Weinstein Group-like objects in Poisson
geometry and algebra. Contemp. Math. 450 : 25-40, 2008).
17. G. Trentinaglia Tanaka duality for proper Lie groupoids. PhD
Thesis, Utrecht 2008. Preprint math.CT/08093394.
Publications (continued)
7. arXiv:math.DG/0307282
DOI:10.1016/j.difgeo.2005.08.007
8. arXiv:math.DG/0402007
DOI:10.1063/1.1786349
4 Iakovos Androulidakis On the connection theory of extensions of
transitive Lie groupoids. J. Diff. Geom. Appl. 24 : 150-171, 2006.
4 Iakovos Androulidakis Classification of extensions of principal
bundles and transitive Lie groupoids with prescribed kernel and cokernel. J. Math. Phys. 45(10) : 3995-4012, 2004.
Citations:
1. Urs Schreiber Differential Cohomology in a cohesive ∞-topos. Habilitation, Hamburg, 2011. arXiv:1310.7930
2. T. Nikolaus, U. Schreiber, D. Stevenson Principal ∞ bundles
- General theory. arXiv:1207.0248
Conference papers (reviewed)
9. IA webpage
4 Iakovos Androulidakis Laplacians and spectrum for singular foliations. Chinese Annals of Mathematics, Series B 35(5), 2014 :
679–690
10. IA webpage
4 Iakovos Androulidakis The holonomy of a singular foliation Proceedings of Poisson 2006 (Tokyo). Travaux Mathematiques 17 : 1-15,
2007.
11.
4 Iakovos Androulidakis Quantization and the integrability of Lie
algebroids. Proceedings of the Sixth Panhellenic Congress on Geometry (Limassol 2003), Bull. Hell. Math. Soc. 51, 2006
12. IA webpage
4 Iakovos Androulidakis Connections on Lie algebroids and the
Weil-Kostant theorem.
Proceedings of the Fourth Panhellenic
Congress on Geometry (Patras 1999), Bull. Hell. Math. Soc. 44
: 51-57, 2000.
Citation:
1. S. Lazzarini and Thierry Masson Generalization of connections
on Lie algebroids and derivation-based non-commutative geometry.
arXiv:1003.6106
Other papers
13. arXiv:math.DG/0501103
4 Iakovos Androulidakis Crossed modules and the integrability of
Lie brackets.
Citation:
1. C. Laurent-Gengoux and F. Wagemann Obstruction classes of
crossed modules of Lie algebroids and Lie groupoids linked to existence of principal bundles. Annals of Global Analysis and Geometry
34:21–37, 2007. Preprint math.DG/0611226v3
Papers in progress
14
4 The Baum-Connes conjecture for singular foliations.
15.
4 (with Marco Zambon) The holonomy groupoid of a Singular Subalgebroid.
16.
4 (with Marco Zambon) The blow-up groupoid of a Log-Symplectic
manifold is a holonomy groupoid.
Publications (continued)
17.
4 (with Marco Zambon) The C ∗ -algebra of a non-integrable Lie algebroid. (Working title)
18.
4 (with P. Carrillo Rouse) Pseudodifferential operators with a Lie structure at infinity for singular foliations.
Teaching experience
Supervision at postgraduate level
Athens, ongoing (started September 2014)
4 Ioannis Gkeneralis. Working title "Singular foliations in Poisson
geometry"
Athens, completed September 2014
4 Christos Aravanis. MSc dissertation "Deformation quantization
and the Duflo map". (Aravanis has been awarded a full PhD
scholarship by the University of Sheffield and continues his doctoral studies there.)
Athens, completed September 2012
4 Giorgos Zavitsanos. MSc dissertation “Bundle Gerbes and
Twisted K-theory”. (Zavitsanos has been awarded a full PhD
scholarship by the University of Frankfurt and continues his
doctoral studies there.)
Seminars (principal speaker on weekly basis)
Athens, SS 2012-13
4 “Deformation Quantization"
Athens, WS 2012-13
4 “Hilbert modules in KK-theory”
Athens, 2011-12
4 “The Atiyah-Singer theorem for foliations”.
Porto, WS 2008-09
4 “Index theory for pseudodifferential operators”.
Crete, 2007-08
4 “The Atiyah-Singer theorem”.
Zurich, WS 2005-06
4 “Lie groupoids and Lie algebroids in Geometry and Physics”.
(Coordinator of postgraduate seminar.)
Postgraduate courses
Athens, WS 2013-14
4 “Geometric Quantization” (4 hours weekly - followed Chapters
1,2 of “Lectures on the orbit method” by A. Kirillov)
4 “Differential Geometry” (4 hours weekly - introduction to differential topology)
Athens, WS 2012-13
4 “Lie groups and Lie algebras” (4 hours weekly - followed Chapter
1 of “Lie groups” by J.J. Duistermaat and J.A.C. Kolk)
Undergraduate courses
Athens, SS every year
4 “Differential Geometry of Curves and Surfaces” (6 hours
weekly).
Athens, WS 2012-13
4 “Mathematical Physics” (4 hours weekly - followed Chapter 1 of
"Quantum Mechanics for Mathematicians" by L. A. Takhtajan)
Crete, SS 2007-08
4 “Analysis with Several Variables” (4 hours weekly - followed Spivak’s small book "Calculus on Manifolds").
4 “Calculus I” (4 hours weekly).
Teaching experience (continued)
Crete, WS 2007-08
4 “Multivariable Calculus” (4 hours weekly).
Crete, SS 2006 – 07
4 “Geometry” (4 hours weekly).
4 “Linear algebra” (4 hours weekly).
Crete, WS 2006 – 07
4 “Groups of Geometric Transformations” (4 hours weekly).
Zürich, SS 2005 – 06
4 “Differential Geometry” (undergraduate, 4 hours weekly).
Sheffield, 1997 – 2000
4 Demostration and examples classes in courses of Analysis and
Algebra.
Other activities
Organisation of conferences
June 2014
4 2014 Meeting of CNRS-GDR “Géométrie Noncommutative", Anogia,
Crete.
June 2013
4 “11th Panhellenic Geometry Conference”, Athens.
October 2012
4 “Contemporary Algebra and Geometry in Greece”, Athens.
August 2012
4 “Geometry and Physics 11”, Anogia, Crete. Conference topic: Quantum Geometry.
July 9-12, 2009
4 “XVIII Oporto Meeting in Topology, Geometry and Physics”. Conference topics: Poisson and Symplectic geometry.
June 17-22, 2007
4 “Singular Foliations – Rigidity of Type II group actions”. 2007 Meeting of CNRS-GDR "Géométrie Noncommutative", Gers, Fleurance,
France.
November 2014
Invited lectures
4 Two invited lectures, Penn State Department of Mathematics.
Cortona, June 16-21, 2014
4 Invited lecture for the “Topology and Analysis in Interaction 2014”
conference.
Sanya, March 10-14, 2014
4 Invited lecture for the “Séminaire Itinérant Geometry and Physics
XII”.
Göttingen, August 30, 2013
4 “Symmetries and the mathematical foundations of classical mechanics”. Summer school “Periodic Structures in Applied Mathematics”.
Bonn, August 28, 2013
4 “Singular foliations and their holonomy”.
Zürich, December 14, 2012
4 “Singular foliations and their holonomy”. Colloquium of the Institute
of Mathematics of the University of Zürich.
Bucharest, September 21-22, 2012
4 “the leafwise Laplacian of a singular foliation and its spectrum”. Seminar on Harmonic Analysis of the “Simion Stoilov” Institute of Mathematics of the Romanian Academy of Sciences.
Shanghai, July 23-28, 2012
4 “The leafwise Laplacian of a singular foliation”. Franco-Chinese Noncomutative Geometry meeting, Fudan University.
Other activities (continued)
Bialoweiza, June 25-29, 2012
4 “The leafwise Laplacian and its spectrum: The singular case”. XXXI
Workshop on Geometric Methods in Physics.
Patras, May 27-29, 2011
4 “The analytic index for elliptic pseudodifferential operators along a
singular foliation”. 10th Panhellenic Geometry Conference.
Luminy, September 27-October 1 2010
4 “Pseudodifferential calculus for Singular foliations”. Quantum groups
and Noncommutative Geometry.
Cardiff, June 28-July 2, 2010
4 “Pseudodifferential Caclulus for Singular Foliations”. EU-NCG 3rd
Annual Meeting.
Nicosia, April 29, 2009
4 “Pseudodifferential Calculus and Index theory for singular foliations”.
Colloquium of the Department of Mathematics.
Lisbon, February 28, 2009
4 “The Lie functor for groupoids”. Poisson PT 2008-09.
Coimbra, November 18, 2008
4 “Singular foliations: Longitudinal pseudodifferential calculus and index theory”. Colloquium of the Department of Mathematics.
Sheffield, November 29, 2005
4 “Realising singular foliations by Lie groupoids”. Colloquium of the
Department of Mathematics.
Zürich, October 28, 2005
4 “Lie groupoids for singular foliations”. ETH Autumn meeting in
Mathematical Physics.
Dublin, November 18, 2004
4 “Realizing foliations by Lie groupoids”. Dublin Institute for Advanced Studies, Mid-Term meeting of EU-RTN “QSNG”.
Luminy, June 14 – 18 2004
4 “Extensions of transitive Lie groupoids and their classification”.
Groups, Locally compact Quantum groups, Groupoids conference
at CIRM – Luminy, Marseille.
Patras, May 2011
Announcements
4 10th Hellenic Conference of Geometry. “The analytic index for elliptic pseudodifferential operators along a singular foliations”.
Crete (Anogia), May 2009
4 9th Hellenic Conference of Geometry. “Pseudodifferential Calculus
for Singular Foliations”.
Lausanne, July 2008
4 Poisson 2008. Poster presentation entitled “Characteristic classes for
singular foliations”.
Athens, May 2008
4 12th Panhellenic Congress of Mathematical Analysis.
algebra of a singular foliation”.
Tokyo, June 2006
4 Poisson 2006. Poster presentation entitled “The holonony of a singular foliation”.
Samos, May 26 – 29, 2005
4 7th Panhellenic Congress of Geometry. “Local desingularization of
Stefan foliations”.
Luxemburg, 2004
4 Poisson 2004.
Limassol, May 29 – June 1, 2003
4 6th Panhellenic Congress of Geometry. “Geometric quantization and
the integrability of Lie brackets”.
Athens, March 28 and April 11, 2002
4 Colloquium of the Department of Mathematics. Two talks on “Geometric quantization and the integrability of Lie algebroids”.
“The C ∗ -
Other activities (continued)
Lisbon, Nov. 20, 2001
4 "Geometria em Lisboa" seminar. “Geometric quantization and integrability of Lie algebroids”.
Sheffield, May 21, 2001
4 “Geometry with Brackets” seminar. “The classification of extensions
of principal bundles and a cohomology for Lie groupoids”.
Utrecht, May 29 – 31, 2000
4 “Groupoid Seminar 1999-2000” (held jointly with the University of
Amsterdam). Two talks on Lie algebroid cohomology and the integrability of transitive Lie algebroids.
Patras, May 1999
4 4th Panhellenic Congress of Geometry. “Connections on Lie algebroids and the Weil-Kostant theorem”.