CURRICULUM VITAE
Nondas E. Kechagias
Office: 302651008276 FAX:
302651008203 E-mail: nkechag @ uoi.gr
EDUCATION
Doctoral: Mathematics 1990,
Queen's
Title:
Homology operations and modular invariant theory
Supervisor:
Professor H. E. A. Campbell
Master's: Mathematics 1986,
Bachelor: Mathematics 1983,
Academic and Professional
Appointments
Vice Chairman (elected), Ioannina
9/2011---8/2013
Associate Professor, Ioannina,
8/2009---
Assistant
Prof (tenure), Ioannina, 9/1996---8/2009
Visiting
Assistant Prof.,
Visiting
Assistant Prof., York, 8/1992---12/1992
Visiting
Assistant Prof.,
Papers in refereed journals
1) The
Steenrod algebra action on generators of rings of invariants of subgroups of
$GL(n,Z/pZ)$,
Proceedings of the A.M.S.., 118, No 3, (1993), pp. 943-952, MR1152986 (93i:55023).
2) Mod
odd modular coinvariants, homology operations, and
limit spaces,
3) Extended
Dyer-Lashof algebras and modular coinvariants,
Manuscripta Math., 84, (1994), pp. 261-290, MR1291121 (95g:55007).
4) A
note on $U_nxU_m$ modular invariants,
5) The
transfer between rings of modular invariants of subgroups of $GL(n,Z/pZ)$}, The Fields
Institute Communications of the A.M.S.., Editors S. Kochman
and P. Selick, 19,(1998), pp. 165-180, MR1622345 (99f:13003).
6) Modular
Invariant Theory, Homology Operations, and the Transfer between Rings of
Invariants of Parabolic Subgroups, The Greek Bulletin of Mathematical
Society, 38,(1996), pp. 79-88, MR1617511 (99b:55035).
7) H. E.
A. Campbell and
8) An invariant
theoretic description of the primitive elements of the mod-p cohomology of a finite loop space which are annihilated by
Steenrod Operations, "Proceedings of a Workshop on Invariant Theory,
April 2002, Queen's University". C.R.M.- A.M.S. Proceedings and Lecture
Notes Volume 35 (2003),159-174. MR2066463 (2005b:55014)
9) Adem relations in the Dyer-Lashof
algebra and Dickson invariants, Algebraic and Geometric Topology 4 (2004),
paper no. 13, pages 219-241. MR2059190 (2005c:55031)
http://www.maths.warwick.ac.uk/agt/ dvi-file
10) I. P. Hughes and N. Kechagias, Rings of Invariants
of modular p-groups which are hypersurfaces, Journal of
Algebra, Volume 291, Issue 1, Pages 72-89. MR2158511 (2006d:13005)
11) A note on parabolic subgroups
and the Steenrod Algebra action, pages
12. Algebra Colloquium, Volume 15 (2008), Number 4,
689-698. MR2452001 (2009h:13004)
12) Even dimensional submanifolds of spheres with nonnegative curvature, Soochow J. Math. 33 (2007), no. 4, 939-948. MR2404615 (2009b:53051)
13) The transfer in mod-p group cohomology
between $\Sigma_P\int\Sigma_{P^{N-1}}, \Sigma_{P^{N-1}}\int\Sigma_P$ and $\Sigma_{P^N}$ , J.
Homotopy Relat. Struct.
4
(2009),
no.
1, 153--179. MR2520991 (2010h:20117)
14) Dickson invariants and a new description of
Preprints
1) Relations between parabolic and Dickson algebra generators and
applications, pages 11.
2) Arithmetic
between sequences of natural numbers and cyclotomic
polynomials, pages 8. Sequ11.dvi
3) The structure of the endomorphism ring
End_{F_{q}[End(V)]}F_{q}[End(V)/GL(V)] of a finite vector space, pages 12, endom.dvi
Non-Refereed papers,
University Notes and Teaching material (in Greek)
1) Γενικευμένες Θεωρίες Συνομολογίας (Generalized Cohomology Theories). Greek Mathematical Reviews, 46, 1998, pages 15. Survey article.
2) Ευκλείδεια Γεωμετρία και πεπερασμένες υποομάδες ισομετριών (Euclidian Geometry and finite subgroups of isometries). Ομάδες και Εφαρμογές, Πρακτικά 5ου Θερινού Σχολείου (Summer School), Πανεπιστήμιο Αιγαίου (University of Aegean), Σελίδες (pages) 23. 2000. Εκδόσεις Ζήτη.
3) Εφαρμογές
της Γραμμικής
Άλγεβρας στις
Επιστήμες (Applications of Linear Algebra in Sciences).
Πανεπιστήμιο Ιωαννίνων (University of Ioannina press), Σελίδες (pages 198). 2008. NEW appl-lin-alg1.ps
4) Εφαρμοσμένη Γραμμική Άλγεβρα (Applied Linear Algebra). Σημειώσεις (Notes), Σελίδες 93. 2002.
Θέματα Γραμμικής Άλγεβρας, Gram-Comp-Scien.pdf
5) Εισαγωγή στην Αλγεβρική Τοπολογία (An introduction to Algebraic Topology). Σημειώσεις μεταπτυχιακού μαθήματος (Notes for a
graduate course), Σελίδες 95. 2001. SimiosisAlgTop011.pdf , SimiosisAlgTop11.pdf
, SimiosisAlgTop21.pdf
6) Σημειώσεις στη Θεωρία Ομάδων (Notes for an
introductory course in Group Theory). 2010. GroupsNotes.pdf , GroupsNotesSHORT.pdf
7) Poincaré Conjecture, Τοπολογία-Γεωμετρία-Ανάλυση. Poincare Conjecture.pdf
Papers in preparation
1)
Self maps of spaces generated by wreath products.
2)
Self maps between quotients of Dickson Algebras.
3)
Applications of modular invariants on finite loop
spaces.
Students
1) Κλεάνθης Ξενιτίδης, Master Thesis, Ιούλιος 2009. Δυϊκότητα Poincare και Alexander. Xenitidis.pdf
SELECTED INVITED ADDRESSES
1) University of the Aegean, Geometry and Topology in Samos. 11-15 June
2012. Greece.
2) Queen's University,
Workshop on Invariant Theory, April 2002. Canada.
3) Queen's University,
Department of Mathematics. September 7 - November 28, 2000. Canada.
4) University of
Rochester, Department of Mathematics. October 25-28, 2000. U.S.A.
5) Mathematisches Institute,
Universität Göttingen, June 14-20, 1999. Germany.
6) 924th A.M.S. Meeting,
Invariant Theory session. Université de Montréal, September 26-28, 1997,
Canada.
7) Schloss
Dachstuhl, Invariant Theory Conference, May 1996,
Germany.
8) The Fields Institute,
Workshop on Stable Homotopy Theory, University of Toronto, January 1-31, 1996, Canada.
9) Mathematisches Institute,
Heidelberg Universität, June 12 - July 6, 1995. Germany.
10) Queen's University,
Department of Mathematics. January 1 - February 23, 1995. Canada.
11) International
conference in Algebraic Topology, Oaxtepec Mexico,
July 1991.
12) University of
Manchester, Adams Memorial Conference. July 1990. England.
INVITED ADDRESSES - TALKS
1) University of Murcia,
Interactions between ring theory & representation of algebras. 12-17
January. 1998, Spain.
2) Centre de recerca Mathematica Barcelona,
Advances in homotopy theory. 4-10 June 1998, Spain.
3) University of Samos,
Summer School, Grooups. 11-18 July 1999, Creece.
4) Institut
Mathematique, Louvain-la-Neeuve,
Alagebraic Topology, 14-20 June 2004. Belgium.
5) National Technical University
of Athens, 8 Greek Conference in Algebra, 28-31 May 2008. Greece.
6) University of Ioannina, Seminar, 23-11-2011 and 13-3-2013.
ORGANIZER
INTERNATIONAL SUMMER SCHOOL
A SATELLITE
CONFERENCE OF THE THIRD EUROPEAN CONGRESS OF MATHEMATICS
“INTERACTIONS BETWEEN
ALGEBRAIC TOPOLOGY AND INVARIANT THEORY”
Speakers: H. E. A.
Campbell, F. R. Cohen, L. Smith, R. M. W. Woods
IOANNINA, 26-30 JUNE 2000
Proceedings (free of
charge), Technical Report, 3, Special Volume, December 2000, University of Ioannina. Photo jpeg-file
Supported by: The General
Secretary of Research and Technology, University of Ioannina,
Prefecture of Ioannina.
IMPORTANT
PEOPLE IN THE FIELD
http://www.newyorker.com/fact/content/articles/060828fa_fact2
“Ricci flow and the Poincare conjecture” J. Morgan and G. Tian, AMS – Clay Mathematics Institute.
http://www.springer.com/mathematics/geometry/journal/40062
http://www-groups.dcs.st-andrews.ac.uk/history/Mathematicians/
The Closed
Leontief System
http://cepa.newschool.edu/het/essays/classic/closedleon.htm
http://www.math.tu-berlin.de/diskregeom/stellar/
Last modified: 04-04-13