Obrazovanje
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Ph.D. in Mathematics, Faculty of Science, University of Sarajevo (thesis: Calculus of functors for r-immersions; advisor: Ismar Volić), 2020
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MSc in Mathematics, Faculty of Science, University of Sarajevo (thesis: Derivations on p-adic fields; advisor: Nacima Memić), 2014
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BSc in Mathematics, Faculty of Science, University of Sarajevo, 2012
Kretanje u zaposlenju
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Assistant Professor, Faculty of Science, University of Sarajevo, 2023—present
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Senior Teaching Assistant, Faculty of Science, University of Sarajevo, 2018—2022
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Teaching Assistant, Faculty of Science, University of Sarajevo, 2015—2018
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Research Assistant, Faculty of Electrical Engineering, University of Sarajevo, 2014—15 and 2017—18
Akademsko iskustvo
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Postdoctoral researcher at University of Seville (Spain), 2022
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Visiting researcher at Wellesley College (USA), Spring 2019
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Visiting researcher at Wellesley College (USA), Spring 2016
Seminar/Colloquium/Conference Talks
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“r-immersions and partial configuration spaces“; 3rd Young STEMM Researchers Meeting, Academy of Sciences and Arts of Bosnia and Herzegovina; October 2024 (Sarajevo, Bosnia). Awarded the first prize for the best presentation
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Topology of political structures and voting games modeled by simplicial complexes; TU Graz (Graz University of Technology), May 2024 (Graz, Austria)
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Convergence of the homological Taylor tower for r-immersions; University of Tuzla Colloquium, March 2024 (Tuzla, Bosnia)
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Connectivity estimates in the homological Taylor tower for the space of reduced embeddings in Rn; Conference on March 14 – the International Day of Mathematics, Academy of Sciences and Arts of Bosnia and Herzegovina; March 2024 (Sarajevo, Bosnia)
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“Geometry and topology of political structures and voting systems“; 2nd Young STEM Researchers Meeting, Academy of Sciences and Arts of Bosnia and Herzegovina; November 2023 (Sarajevo, Bosnia). Awarded the third prize for the best presentation
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“r-Immersions from the point of view of functor calculus“; NMSU Geometry and Topology seminar, New Mexico State University; April 2023 (Las Cruces, USA), via Zoom. Lecture notes
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“An intuitive introduction to Manifold calculus of functors“; Seminar of Algebra at Department of Algebra, University of Seville; September 2022 (Seville, Spain)
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“Homological convergence of the manifold calculus Taylor tower for r-immersions“; talk at the Young Topologists Meeting 2019 at EPFL, July 2019 (Lausanne, Switzerland)
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“Fixed-point theorems in topology“, student seminar at Wellesley College, April 2019 (Wellesley, USA)
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“Calculus of functors for r-immersions“; talk at the workshop Graph Complexes, Configuration Spaces and Manifold Calculus at Pacific Institute for the Mathematical Sciences, May 2018 (Vancouver, Canada)
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“Calculus of functors for r-immersions“; University of Tuzla Colloquium, March 2018 (Tuzla, Bosnia)
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“From Taylor series to Taylor tower: Calculus of functors and its applications“; University of Sarajevo Colloquium, March 2017 (Sarajevo, Bosnia)
Erasmus+ Staff Week
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Polytechnic Institute of Tomar (Portugal), May 2022. Talks:
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An introduction to the main concepts of topology
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Some applications of topological methods in electrical engineering
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The University of Graz (Austria), May 2024. Talks:
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A first introduction to Goodwillie calculus
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Towers of Goodwillie calculus
Nastava
As an assistant professor (2023—present), I teach the following classes:
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Topology
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Geometry I
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Set Theory
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History of Mathematics
Naučni radovi
Papers – published or accepted for publication
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Intrinsic convergence of the homological Taylor tower for r-immersions in Rn , with G. Arone, Homology, Homotopy and Applications 26 (2024), no. 2, 163–192. DOI: 10.4310/HHA.2024.v26.n2.a8
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The space of r-immersions of a union of discs in Rn, with G. Arone, Mathematica Scandinavica 130 (2024), no. 3, 487-503. DOI: 10.7146/math.scand.a-148809
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Connectivity estimates in the homological Taylor tower for the space of reduced embeddings in Rn. in Proceedings of the Conference on March 14 – International Day Of Mathematics, Special Editions ANUBiH, Book CCXVI, OPMN Book 30 (2024), pp 33–37. DOI: 10.5644/PI2024.216.05
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Low stages of the Taylor tower for r-immersions, with B. Schreiner and I. Volić, Involve 13 (2020), no. 1, 51–75. DOI: 10.2140/involve.2020.13.51
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Toward finite models for the stages of the Taylor tower for embeddings of the 2-sphere, with A. Bolić and I. Volić, in Proceedings of the International Symposium on Innovative and Interdisciplinary Applications of Advanced Technologies (IAT 2019) pp 1-13 (2020). DOI: 10.1007/978-3-030-24986-1_1
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A streamlined proof of the convergence of the Taylor tower for embeddings in Rn , with I. Volić, Colloquium Mathematicum 156 (2019), no. 1, 91-122. DOI: 10.4064/cm7363-2-2018
Papers – submitted or in preparation
- Weighted simple games and the topology of simplicial complexes, with A. Brooks and I. Volić, submitted. https://arxiv.org/abs/2210.09771
- A model of preferential attachment in voting networks, with H. Šiljak and I. Volić, in preparation.
Objavljene knjige i udžbenici
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Izvan stroja. Nacionalno, građansko i druge opsjene, Synopsis, Zagreb – Sarajevo, 2023
- Kratki uvod u topologiju, to appear in 2025
Mentorstva
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Azra Kovačević, at University of Sarajevo. She defended her master thesis in September 2024.
Nagrade i priznanja
- Award of the Federal Ministry of Education and Science, 2009
- Award “Zlatna značka” for the graduating student of the year at the Faculty of Science, University of Sarajevo, 2014
- Award of the Academy of Sciences and Arts of Bosnia and Herzegovina, 2023
- Award of the Academy of Sciences and Arts of Bosnia and Herzegovina, 2024
Članstvo u akademskim i stručnim organizacijama
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An affiliate of the Institute for Mathematics and Democracy, 2020—present.