Projects per year
Personal profile
Academic Background
Please see my personal webpage - https://www.logiqueconsult.eu - for a full list of my publications (including those listed in the 'outputs' section on this page).
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.
Biography
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://www.logiqueconsult.eu
Career
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
IRIF (CNRS & Université de Paris) 2021- present
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.
Teaching Interests
On the research level, I have a number of possible Ph.D. projects, ranging through various areas of mathematics: set theory, infinite combinatorics, including the theory of graphons, mathematical analysis and topology, model theory and foundations of mathematics. After looking at my publications list, interested students should contact me by email to discuss common interests.
On the taught level, 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.
Areas of Expertise
Set theory; infinitary combinatorics; mathematical logic; applications of set theory.
External positions
Researcher, IRIF - CNRS/Université de Paris
1 Apr 2021 → …
Associated Member, Université de Paris
1 Jan 2015 → …
Collaborations and top research areas from the last five years
Projects
- 6 Finished
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Mirna Dzamonja LMS Application - Financial Support for International Visits
London Mathematical Society (The)
1/07/18 → 30/09/19
Project: Research
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LMS Computer Science Small Grants - Scheme 7
London Mathematical Society (The)
1/08/15 → 30/04/16
Project: Research
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On wide Aronszajn trees in the presence of MA
Dzamonja, M. & Shelah, S., Mar 2021, In: Journal of Symbolic Logic. 86, 1, p. 210-223 14 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile1 Citation (Scopus)16 Downloads (Pure) -
Square compactness and the filter extension property
Buhagiar, D. & Dzamonja, M., 2021, In: Fundamenta Mathematicae. 252, 3, p. 325-342 18 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile4 Citations (Scopus)16 Downloads (Pure) -
On Ordinal Invariants in Well Quasi Orders and Finite Antichain Orders
Dzamonja, M., Schmitz, S. & Schnoebelen, P., 2 Jan 2020, Well quasi-orders in computation, logic, language and reasoning: A unifying concept of proof theory, automata theory, formal languages and descriptive set theory. Schuster, P., Seisenberger, M. & Weiermann, A. (eds.). Springer, p. 29-54 26 p. (Trends in Logic; vol. 53).Research output: Chapter in Book/Report/Conference proceeding › Chapter (peer-reviewed) › peer-review
2 Citations (Scopus) -
A letter to Bohᅭ
Džamonja, M., 1 Jan 2019, In: Commentationes Mathematicae Universitatis Carolinae. 60, 1, p. 157-160 4 p.Research output: Contribution to journal › Comment/debate › peer-review
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A New Foundational Crisis in Mathematics, Is It Really Happening?
Džamonja, M., 12 Nov 2019, Reflections on the Foundations of Mathematics. p. 255-269 15 p. (Reflections on the Foundations of Mathematics; vol. 407).Research output: Chapter in Book/Report/Conference proceeding › Chapter
Activities
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Université de Paris
Mirna Dzamonja (Visiting researcher)
2015 → …Activity: Visiting an external institution › Research and teaching at external organisation
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European Set Theory Society (External organisation)
Mirna Dzamonja (Trustee)
2014 → …Activity: Membership › Network, Working Group or Professional Association
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Proceedings of the American Mathematical Society (Journal)
Mirna Dzamonja (Editor)
2013 → 2016Activity: Editorial work › Publication editorial role
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Bollettino dell’Unione Matematica Italiana (Journal)
Mirna Dzamonja (Editorial board member)
2013 → …Activity: Editorial work › Publication editorial role
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European Set Theory Society (External organisation)
Mirna Dzamonja (President)
2012 → 2014Activity: Membership › Network, Working Group or Professional Association