last update 06/24/2009.
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Frederic's Home page 
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Name |
MYNARD Frédéric, Didier |
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Nationality Immigration Status |
French Permanent Resident |
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| fmynard@georgiasouthern.edu | ||
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web pages |
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1996-1999 |
Ph. D. (Mathematics) Coreflectively modified continuous duality as a method of characterization of topological properties of product spaces, (supervisor Professor S. Dolecki, Burgundy University) obtained with the felicitations of the jury. |
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1993-1996 |
Bachelor and Masters of pure mathematics, Burgundy University (Dijon, France). |
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1991-1993 |
Mathématiques Supérieures and Mathématiques Spéciales at Carnot Lycée, Dijon, France. |
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1998 |
CAPES of mathematics. (French competitive certification examination for high school teachers) |
| August 2009- | Associate Professor at Georgia Southern University (tenured) |
| 2004-2009 | Assistant Professor at Georgia Southern University (tenure track) |
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2001-2004 |
Visiting Assistant Professor at the University of Mississippi |
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2001 |
Lecturer at the University of Auckland, New Zealand |
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1999-2000 |
Teacher of mathematics and physics for candidates for the promotion to
the grade of officer during a one year compulsory military service as a
scientific fellow (assimilated to the officer corps). |
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1998-1999 |
Teacher of mathematics in Ronsard College (intermediate high school), Saint-Maur. |
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1997-1998 |
Teaching assistant for first year students in mathematics, Burgundy
University. |
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Reviewer work |
Journals: Topology and its Applications,
Topology Proceedings, Questiones Matematicae, |
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Editorial work |
Editorial advisor
for the General Topology section of the book Open
Problems in
Topology II, Elliot Pearl (editor), Elsevier
2007. Guest editor for Topology Proceedings 31 No 2 (2007) (proceedings of the 21st Summer Conference on Topology and its Applications, Georgia Southern University, July 6-9, 2006) Main Editor (with E. Pearl) for the book Beyond Topology, AMS, Contemporary Mathematics #486, 2009. |
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Conference organization |
44th Spring Topology and Dynamics Conference, Mississippi State University, March 18-20, 2010 (With P. Fabel and W. Lewis). 21st Summer Conference on Topology and its Applications, Member of the Advisory Board to Summer Conferences on Topology and its Applications Member of the Advisory Board to Spring Topology and Dynamics Conferences Participation in the organization of the French-Japanese conference on Hyperspace topologies, La Bussière, France., October 1997. |
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Short term visiting positions |
one month research stay at
the Mathematical
Institute of
Burgundy,
3 months research stay at RUCA University (Antwerp, Belgium) November 2000-February 2001 |
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Seminars |
Creation
and Organization of the Graduate Seminar of the Math Department, U. of Chair of the Colloquium committee, Georgia Southern U. Chair of Analysis seminar, Georgia Southern. U. Senior Undergraduate Seminar, Spring 2007, Spring 2008 Graduate Seminar, Spring 2009 |
| March 2009 | When is the Isbell topology a group topology? Spring Topology and Dynamics Conference, March 7-9, 2009, Gainesville, FL. |
| October 2008 | Differentiability as continuity—an update. Special Session on Set-Theoretic Topology, AMS sectional meeting, Huntsville, AL. (invited) |
| June 2008 | Convergence Structures, Advances in Set-Theoretic Topology, Conference in honor of T. Nogura’s 60th birthday, Erice, Italy (invited workshop leader) |
| December 2007 | Exponential Objects in Top, PrTop an ParaTop, Aspects of Contemporary Topology III, Antwerp, Belgium. (invited) |
| July 2007 | Spaces of genotypes and of phenotypes, 2007 Summer Conference on
Topology and its Applications, |
| March 2007 | Product of compact filters and exponential
objects in TOP and PRTOP, 2007 Spring Topology and Dynamics Conference, University of Missouri
Rolla, MO. |
| March 2006 | Differentiability as
continuity, 2006 Spring Topology and Dynamics Conference, University of North Carolina at Greensboro, NC. (invited) |
| July 2005 | Stability of local
topological properties under product, 2005 Summer Conference on Topology and its Applications, Denison University, Granville, OH. |
| March 2005 |
A
convergence-theoretic approach to product theorems,
Southeastern AMS meeting, Special session in Honor of D.C. Kent, Bowling Green, KY. (invited) |
| March 2004 | product of D-compactoid
filters and product theorems for spaces and maps, 2004 Spring Topology and Dynamics Conference, University of Alabama at Birmingham, Alabama (invited) |
| July 2003 |
Product of compactoid filters and product theorems for spaces and maps, 2003 Summer Conference on Topology and its
Applications, Howard University, Washington, DC. |
| July 2003 | Stability of local
topological properties under supremum and product, Conference in Honor of A. V. Arhangelskii, Brooklyn College of CUNY, New York. |
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January 2002 |
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August 2000 |
Coreflectively modified duality in convergences
and convergence-approach spaces; Categorical Methods in
Algebra and Topology, Bremen, Germany. |
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July 1998 |
Product of sequential and first-countable
spaces; International School of Mathematics "G.
Stampacchia", Convergence and Topology, Erice (Sicily), Italy |
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October 1997 |
Whitehead theorem and hyperspaces; French-Japanese
conference on hyperspace topologies, La Bussière, France |
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September 1997 |
A common convergence-theoretic approach to
products; function spaces and hyperspaces, XIV International
Congress of Topology, Milazzo (Messina), Italy. |
1. Strongly sequential spaces, Comment. Math. Univ. Carolinae, 41, 1(2000) : 143-153.
2. (with S. Dolecki) Cascades and multifilters, Topology Appl., 104 (2000): 53-65.
3. (with S. Dolecki) Convergence-theoretic mechanisms behind product theorems, Topology Appl., 104(2000): 67-99.
4. Coreflectively modified continuous duality applied to classical product theorems, Applied General Topology, Volume 2, No. 2 (2001), pp. 119--154
5. More on strongly sequential spaces. Comment.Math.Univ.Carolinae 43,3 (2002) 525-530
6. First-countability, sequentiality and tightness of the upper Kuratowski convergence. Rocky Mountain Mathematical Journal., Volume 33 No. 3 (Fall 2003): 1011--1038
7. When are compact, countably compact and Lindelöf convergences topological ? Topology Proceedings, 26 No. 1 (2001-2002), pp. 283-296
8. Coreflectively modified duality. Rocky Mountain Mathematical Journal, Volume 34 No. 2 (Summer 2004): 733--758
9. (With F. Jordan) Espaces productivement de Fréchet, C. R. Acad. Sci. Paris, Ser I 335(2002), 259-262.
10. (With S. Dolecki) Hyperconvergences. Applied General Topology, Volume 4 No. 2 (2003): 391--419
| 11. (With F.
Jordan) Productively Fréchet spaces. Czechoslovak
Mathematical Journal, Vol. 54, No. 4, pp. 981-990, 2004 |
| 12. (With D.
Gauld) Metrisability of manifolds in terms of
function spaces. Houston
Journal of Mathematics, Volume 31, No. 1, pp. 199-214, 2005 |
| 13. Unified
characterization of exponential objects in TOP, PRTOP and PARATOP,
to appear in Cahiers
de Topologie et Géométrie
Différentielle Catégoriques, Volume 48, No. 1, pp. 70-80, 2007
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14. (With F.
Jordan) Compatible relations on filters and stability of
local topological properties under supremum and product |
| 15. (With D.
Gauld) Differentiability as continuity. Real
Analysis Exchange 31(2):425-430, 2005/2006
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| 16. Products
of compact filters and applications to classical product theorems. Topology
and its Applications, 154(4): p. 953-968, 2007
17. (With A. T. Mynard) Closure spaces and characterization of filters in terms of their Stone images. To appear in Czechoslovak Mathematical Journal, Vol. 57, No. 3, pp. 1025-1034, 2007 18. (With F. Jordan and I. Labuda) Finite products of filters that are compact relative to a class of filters. Applied General Topology, 8(2):161-170, 2007
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last update 06/24/2009. |
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