Biography

My research interest is in mathematical logic, specifically set theory and its connections with other fields of mathematics, such as model theory, topology, measure theory, analysis and combinatorics.
Within set theory, I have mostly worked on forcing, large cardinals, pcf theory and infinite combinatorics, but other
subjects interest me as well. Outside of set theory, I am interested in logic as a modeling tool in a wide range of topics.

Personal Website: https://mdzamonja.wixsite.com/mirna

Follow this link for details of current PhD opportunites in Mathematics. But feel free to email me to discuss projects outside these areas and alternative sources of funding.

Career History

Ph.D., Mathematics, University of Wisconsin-Madison, USA , 1993.
M.Sc., Mathematics, University of Wisconsin-Madison, USA , 1990.
B.Sc., Mathematics, University of Sarajevo , Yugoslavia (Bosnia & Herzegovina), 1988.

POSTS
Postdoctoral Fellow, Hebrew University of Jerusalem 1993-1995
Visiting Assistant Professor, University of Wisconsin-Madison, 1995-1998
University of East Anglia, 1998-present

Academic Background

I work in mathematical logic, more specifically in set theory and its relations with other subjects of mathematics. For example, I have done work in model theory, topology, measure theory, Banach space theory, combinatorics and the theory of orders. I am also interested in connections with computer sciences and philosophy. 

All Publications

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Cummings, J., Dzamonja, M., Magidor, M., Morgan, C., Shelah, S.

(2017)

A framework for forcing constructions at successors of singular cardinals,

in Transactions of the American Mathematical Society

369

(10)

pp. 7405-7441

Full Text UEA Repository

(Article)

(Published)


Dzamonja, M.

(2017)

Set Theory and its Place in the Foundations of Mathematics: a new look at an old question,

in Journal of Indian Council of Philosophical Research

34

(2)

pp. 415–424

Full Text UEA Repository

(Article)

(Published)


Džamonja, M.

(2017)

Théorie des ensembles pour les philosophes,

Editions Universitaires Européens

ISBN 978-3-639-65080-8

UEA Repository

(Book)

(Published)


Cummings, J., Dzamonja, M., Morgan, C.

(2016)

Small universal families of graphs on $\aleph_{\omega+1}$,

in Journal of Symbolic Logic

81

(02)

pp. 541-569

Full Text UEA Repository

(Article)

(Published)


Dzamonja, M.

(2016)

Universal infinite clique-omitting graphs,

in Sarajevo Journal of Mathematics

12 (25)

(2)

pp. 151-154

Full Text UEA Repository

(Article)

(Published)


Dzamonja, M.

(2016)

Paragraded structures inspired by mathematical logic,

in Sarajevo Journal of Mathematics

12 (25)

(Suppl.)

pp. 1-9

UEA Repository

(Article)

(Published)


Dzamonja, M.

(2015)

The singular world of singular cardinals,

in Logic Without Borders : Essays on Set Theory, Model Theory, Philosophical Logic and Philosophy of Mathematics.

De Gruyter

pp. 139-146

(Chapter (peer-reviewed))

(Published)


Dzamonja, M.

(2015)

Some Banach spaces added by a Cohen real,

in Topology and its Applications

195

pp. 246–255

Full Text UEA Repository

(Article)

(Published)


Benkart, G., Dzamonja, M., Roitman, J.

(2015)

Memories of Mary Ellen Rudin,

in Notices of the American Mathematical Society

62

(6)

pp. 617-629

Full Text

(Editorial)

(Published)


Dzamonja, M.

(2014)

Isomorphic Universality and the Number of Pairwise Nonisomorphic Models in the Class of Banach Spaces,

in Abstract and Applied Analysis

2014

pp. 1-11

Full Text UEA Repository

(Article)

(Published)


Dolinar, G., Dzamonja, M.

(2013)

Forcing Square with Finite Conditions.,

in Annals of Pure and Applied Logic

164

(1)

pp. 49-64

Full Text UEA Repository

(Article)

(Published)


Dzamonja, M.

(2013)

Forcing Axioms, Finite Conditions and Some More,

in Lecture Notes in Computer Sciences

7750

pp. 17-26

Full Text UEA Repository

(Article)

(Published)


Borodulin-nadzieja, P., Dzamonja, M.

(2013)

On the isomorphism problem for measures on Boolean algebras,

in Journal of Mathematical Analysis and Applications

405

(1)

pp. 37-51

Full Text UEA Repository

(Article)

(Published)


Dzamonja, M.

(2013)

Forcing axioms, finite conditions and some more,

in Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics).

pp. 17-26

ISBN 9783642360381

Full Text UEA Repository

(Chapter)

(Published)


Abraham, U., Bonnet, R., Cummings, J., Džamonja, M., Thompson, K.

(2012)

A scattering of orders,

in Transactions of the American Mathematical Society

364

pp. 6259-6278

Full Text UEA Repository

(Article)

(Published)


Džamonja, M., Juhász, I.

(2011)

CH, a problem of Rolewicz and bidiscrete systems,

in Topology and its Applications

158

(1)

pp. 2485-2494

Full Text UEA Repository

(Article)

(Published)


Džamonja, M.

(2011)

Ramsey Methods and the problem DU,

in CRM Barcelona Publications

7

(2014-2323)

pp. 1-12

UEA Repository

(Article)

(Published)


Džamonja, M., Väänänen, J.

(2011)

Chain models, trees of singular cardinality and dynamic EF games,

in Journal of Mathematical Logic (jml)

11

(1)

pp. 61-85

Full Text UEA Repository

(Article)

(Published)


Džamonja, M.

(2011)

Some positive results in the context of universal models,

in AMS series Contemporary Mathematics

533

pp. 1-12

UEA Repository

(Article)

(Published)


Džamonja, M., Larson, J., Mitchell, B.

(2009)

Partitions of large Rado graphs,

in Archive for Mathematical Logic

48

(6)

pp. 579-606

Full Text UEA Repository

(Article)

(Published)


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Key Research Interests

My research interest is in mathematical logic, specifically set theory and its connections with other fields of mathematics, such as model theory, topology, measure theory, analysis and combinatorics.

Within set theory, I have mostly worked on forcing, large cardinals, pcf theory and infinite combinatorics, but other subjects interest me as well. Outside of set theory, I am interested in logic in a wide range of contexts, including computer sciences and philosophy.

I have recently started being interested in history of mathematics.

Link to more details:

https://www.uea.ac.uk/~h020/welcome.html

Set theory

Analysis

Measure theory

Model Theory

Mathematical Logic

Philosophy of Mathematics

Teaching Interests

I enjoy teaching with classical methods (blackboard!) and the modern ones (Blackboard, Web modules, Internet based) and try to use the combination of those in my teaching style.

I want the students in my class to feel as if they are in the Plato Academy, we are all there to learn and everybody on their own pace.

External Activities and Indicators of Esteem

Associate Member of the Institut of History and Philosophy of Science and Technology, University Paris 1 - La Sorbonne, 2015-

President of the Logic in Europe Committee of the Association for Symbolic Logic, January 2008 - 2014

Trustee of the European Set Theory Society, President 2012 - 2014

Editor of Proceedings of the American Mathematical Society, 2013 - present

Member of the Editorial Board for the “Bollettino dell’Unione Matematica Italiana”, 2013 - present

Member of the Editorial Board for “Mathematical Logic Quarterly”, 2012 - present

Member of the Editorial Board of the Sarajevo Journal of Mathematics (formally Radovi Matematicki), 2005 - present

Member of the Editorial Committee for “Colloquium Mathematicum”, 2008-present

Secretary to the BLC, January 2001 – December 2007

Member of the EPSRC College. Member of the ESF Pool of Referees.

Reviews Editor for The Bulletin of Symbolic Logic, 2003 - 2009