29/10/2013 PhD at University of Zagreb, Croatia; thesis title: Fixed points of diffeomorphisms, singularities of vector fields and epsilon-neighborhoods of their orbits; supervisors: Pavao Mardešic, Vesna Županovic
2007-2013 Doctoral study, Faculty of science, Department of Mathematics
2002-2007 Undergraduate/graduate studies in Mathematics, direction: Applied mathematics; University of Zagreb, Faculty of science, Department of mathematics; diploma thesis title: Nonlinear hyperbolic conservation laws in space dimension 1; supervisor: Zvonimir Tutek
Employment:
April 2022-today: Associate professor at Department of mathematics, Faculty of science, University of Zagreb, Croatia
2016-March 2022: Assistant professor at Department of mathematics, Faculty of science, University of Zagreb, Croatia
2013-2016: Higher teaching assistant at Department of applied mathematics, Faculty of electrical engineering and computing, University of Zagreb, Croatia
2008-2013: PhD student and teaching assistant at Department of applied mathematics, Faculty of electrical engineering and computing, University of Zagreb, Croatia
2007/08: Part-time teaching assistant at Faculty of economics and business and at Faculty of electrical engineering and computing, University of Zagreb, Croatia
Long-term scientific visits:
March 29-June 17 2022: long-term visitor at Fields Institute, Toronto, Canada, in scope of Thematic Program on Tame Geometry, Transseries and Applications to Analysis and Geometry, http://www.fields.utoronto.ca/activities/21-22/tame
October 2012-June 2013: Institut de Mathématiques, Université de Bourgogne, Dijon, France, as PhD student and French government scholarship holder, responsible: Pavao Mardesic, UB, Dijon
January 2018-June 2018: Institut de Mathématiques, Université de Bourgogne, Dijon, France, supported by UKF project My first collaboration grant 2017
Short visits:
December 07-15 2022 Université Haute Alsace, France
September 14-23 2022 Hasselt University, Hasselt, Belgium
August 28- September 7 2022 Université de Bourgogne, Dijon, France
March 14-March 19 2022 Hasselt University, Hasselt, Belgium
September 20-September 30 2021 Université de Bourgogne, Dijon, France
September 20-October 17 2020 Laboratoire I.R.M.A., Université de Strasbourg, Strasbourg, France
December 08-18 2019 Institut de Mathématiques, Université de Bourgogne, Dijon, France
July 03-06 2019 Université Paris Diderot, Paris, France
May 12-June 08 2019 Université de Haute-Alsace, Mulhouse, and Université de Strasbourg, Strasbourg, France
March 31-April 06 2019 Faculty of Mathematics, University of Vienna, Vienna
September 09-18 2018, December 05-18 2018 Institut de Mathématiques, Université de Bourgogne, Dijon, France
May 28- June 21 2018 Centro di Ricerca Mathematica Ennio de Giorgi, Scuola Normale Superiore, Pisa
May 21-May 28 2018 Université Paris Diderot, Paris, France
April 09-April 13 Universite de Strasbourg, IRMA, Starsbourg, France
September 09-16 2017 Institut de Mathématiques, Université de Bourgogne, Dijon, France
February 26-March 8 2017 Université Paris 7, Paris, France
February 20-March 5 2016, 04-13 July 2016 Institut de Mathématiques, Université de Bourgogne, Dijon, France
October 12-16 2015 Dipartimento di Matematica, Universita di Pisa, Italy
May 29-June 8 2011, March 5-15 2012, 5-15 May 2014, 05-26 February 2015, 20-27 June 2015: Institut de Mathématiques, Université de Bourgogne, Dijon, France
2010 TU Wien, Vienna, Austria
Grants:
2012./2013. French government scholarship for academic year 2012/13 for 9-month stay at UB, Dijon, France
AFFDU (French Association of University Women)/Elsevier - Elsevier Mathematics individual Grant for 2012 for short-term study abroad
Projects:
2023-2024, Singularities of analytic dynamical systems and applications , bilateral french-croatian COGITO project, PI: Maja Resman (University of Zagreb), Pavao Mardesic (University of Burgundy)
Classifications of Dulac maps and epsilon-neighborhoods, Unity Through Knowledge Fund (established by Croatian Ministry of Science, Education and Sports), aproved under the call My first collaboration grant 2017; duration: October 2017-January 2019; the co-leader: Pavao Mardešic, University of Burgundy, Dijon
(with Tamara Servi, University of Paris) Dino Peran, University of Split, defended December 2022, thesis Dino Peran
Seminar talks:
Classifications of Dulac germs, Geometry and Model Theory seminar, Fields Institute, Toronto, Canada, April 2022
Fiksne tocke difeomorfizama i njihove orbite , Scientific colloquium of the Split Mathematical Society, Split, Croatia, November 2021
Transasymptotic expansions in classification problems for Dulac germs , seminar at Hasselt University, Belgium (on-line), May 2021
Analytic moduli for parabolic Dulac germs, construction and realization , GeomTop Weizmann seminar, Weizmann Institute of Science (on-line), April 2021
Zeta functions and complex dimensions of orbits of dynamical systems , Séminaire d’Analyse, Université de Haute Alsace, Mulhouse, October 2020
Analytic classification of Dulac germs , Séminaire d'Analyse, IRMA, Université de Strasbourg, May 2019
Analytic classification of Dulac germs , Séminaire d’Analyse, Université de Haute Alsace, Mulhouse, May 2019
Formal classification of power-logarithmic germs and fractal approach , The Budapest - Wien Dynamics seminar, University of Vienna, Austria, April 2019
Fatou coordinate for the Dulac germ Seminaire d'Analyse, IRMA, Université de Strasbourg, Strasbourg, France, April 2018
Classifications of Dulac maps and epsilon-neighborhoods, Séminaire d’Analyse, Université de Haute Alsace, Mulhouse, April 2018
Classifications of diffeomorphisms and epsilon-neighborhoods, Seminar Ljubljana-Maribor-Zagreb, PMF-MO, Zagreb, December 2017
Transseries and formal normal forms, Séminaire Structures Algébriques Ordonnées, Université Paris 7, France, February 2017
Formalne normalne forme za Dulacove redove, Scientific section colloquium of the Croatian mathematical society, University of Zagreb, Croatia, January 2017
Formes normales formelles et plongement dans des flots formels pour des transseries de type puissance-logarithme, Seminaire Géométrie et Syst`emes Dynamiques, Institut de Mathématiques, Université de Bourgogne, Dijon, France, February 2016
Classifications of germs of diffeomorphisms and fractal properties of their orbits, Dipartimento di Matematica, Universit`a di Pisa, Italy, October 2015
Epsilon-neighborhoods of orbits and cohomological equations, Seminaire Géométrie et Systemes Dynamiques, Institut de Mathématiques, Université de Bourgogne, Dijon, France, May 2014
Epsilon-neighborhoods of orbits and classifications of parabolic diffeomorphisms , Seminaire Equations Differentielles, Institut de Mathématiques de Toulouse, Université de Toulouse, Toulouse, France, June 2013
Epsilon-neighborhoods of orbits and classifications of parabolic diffeomorphisms , Seminaire Equations Fonctionnelles, IRMA, Université de Strasbourg, Strasbourg, France, May 2013
Epsilon-neighborhoods of orbits and classifications of parabolic diffeomorphisms , Séminaire de Géométrie Analytique, IRMAR, Université de Rennes 1, Rennes, France, March 2013
Epsilon-neighborhoods of orbits and classifications of parabolic diffeomorphisms, Séminaire Géométrie et Systemes Dynamiques, Institut de Mathématiques, Université de Bourgogne, Dijon, France, March 2012
Conference talks:
UNIC Mathematics Workshop 2023, University of Zagreb, Faculty of Science, Dept of Mathematics, May 22-25 2023, Fractal data in reading invaraiants of dynamical systems
Workshop Bifurcations of dynamical systems and numerics and Bifurcations and fractal zeta functions of orbits, 09-13 May 2023, FER, Zagreb, Croatia, Fractal Data in Reading Invariants of Dynamical Systems
Workshop Fractals in pure and applied sciences, 15-17 March 2023, Faculty of Engineering, Sapienza Universitá di Roma, Rome, Italy, Fractal zeta functions of orbits of discrete dynamical systems (invited talk)
AQDTE Conference 2023, 05-09 February 2023, Port de Sóller, Mallorca, Spain, Complex dimensions of orbits of dynamical systems
Dynamics Days Europe, August 22-26, 2022, Aberdeen University, Aberdeen, Scotland, Zeta functions and complex dimensions of orbits of dynamical systems
Mini-workshop on Transseries and Dynamical Systems, May 30 - June 1, 2022, Fields Institute, Toronto, Canada, Rigidity of saddle loops
Bifurcations of dynamical systems Workshop, 9th - 12th February, 2022, Zagreb, Croatia, Analytic invariants of Dulac germs
Journées 2021 du GDR EFI, May 31- June 2 2021, University of Strasbourg,
Complex dimensions and lengths of epsilon-neighborhoods of orbits (invited talk)
Dubrovnik IX - Topology and Dynamical Systems, June 24 - 28, 2019, Inter-University Centre Dubrovnik, Croatia, Classifications of Dulac germs
Conference Equadiff, 8th-12th July 2019, Leiden University, Leiden, Netherlands, Formal classification of parabolic Dulac maps
Advances in Qualitative Theory of Differential equations, June 17-21, 2019, Castro Urdiales, Spain, Classifications of Dulac germs (invited talk)
2018 Dynamics Days Loughborough, 02 - 07 September 2018, Loughborough, England, Classifications of Dulac maps and epsilon-neighborhoods
Universality of Resurgence in Quantization Theories, 13 June 2018 - 15 June 2018, Centro di Ricerca Mathematica Ennio de Giorgi, Scuola Normale Superiore, Pisa, Italy, The Fatou coordinate of a parabolic Dulac germ (invited talk)
2016 Summer School on Fractal Geometry and Complex Dimensions, In celebration of the 60th birthday of Michel Lapidus, CalPoly San Luis Obispo, CA, USA, June 21-29 2016, Epsilon-neighborhoods of orbits of some discrete dynamical systems
6th Croatian Mathematical Congress, Zagreb, Croatia, June 14-17 2016,Normal forms and embeddings for power-log transseries
Géométrie Analytique Réelle et Trajectoires de Champs de Vecteurs, CIRM Luminy, June 8-12 2015, Epsilon-neighborhoods of orbits and classifications of parabolic germs (invited talk)
Theoretical and computational methods in dynamical systems and fractal geometry, Maribor, Slovenia, April 7-11 2015, Classifications of parabolic germs and epsilon-neighborhoods of orbits (invited talk)
Perspectives on Parabolic points in Holomorphic Dynamics, BIRS Workshop, March 29-April 3 2015, Banff, Alberta, Canada, Classifications of parabolic germs and fractal properties of orbits
European Advanced Studies Conference 2014, Symposium on Differential and Difference Equations 2014, Homburg, Germany, September 05-08 2014, Epsilon -neighborhoods of orbits of parabolic germs and cohomological equations
Feuilletages et équations différentielles complexes, CIRM, Marseille, France, October 15-19 2012, Classification of diffeomorphisms and epsilon-neighborhoods of orbits (a poster)
5th Croatian Mathematical Congress, Rijeka, Croatia, June 18-21 2012,Epsilon-neighborhoods of orbits and formal classification of parabolic diffeomorphisms
First International Meeting PISRS-PISRS Conference 2011-Analysis, Fractal Geometry, Dynamical Systems and Economics, Messina, Italy, November 08-12 2011, Multiplicity of fixed points and growth of epsilon-neighbourhoods of orbits (invited talk)
Equadiff Conference 2011, Loughborough, England, August 01-05 2011, Box dimension and cyclicity for planar systems
Scientific training (conferences, workshops):
Dulac's Problem: New Perspectives a Century Later, Mulhouse, France, 4-8 September 2023
Topics in complex dynamics 2023, June 19-23 2023, Universitat de Barcelona, Barcelona, Spain
Dubrovnik IX - Topology and Dynamical Systems, June 24 - 28, 2019, Inter-University Centre Dubrovnik, Croatia
Conference Equadiff, 8th-12th July 2019, Leiden University, Leiden, Netherlands
Advances in Qualitative Theory of Differential equations, June 17-21, 2019, Castro Urdiales, Spain
The workshop
“Dynamical Systems: from geometry to mechanics”, University of Rome Tor Vergata, Rome, Italy
2018 Dynamics Days Loughborough, 02 - 07 September 2018, Loughborough, England
Universality of Resurgence in Quantization Theories, 13 June 2018 - 15 June 2018, Centro di Ricerca Mathematica Ennio de Giorgi, Scuola Normale Superiore, Pisa, Italy
Holomorphic foliations in Alsace
A singular journey from locality to globality, IRMA, Strasbourg, France, 23-27 October 2017
2016 Summer School on Fractal Geometry and Complex Dimensions, In celebration of the 60th birthday of Michel Lapidus, CalPoly San Luis Obispo, CA, USA, June 21-29 2016
Géométrie Analytique Réelle et Trajectoires de Champs de Vecteurs, CIRM Luminy, France, 8-12 June 2015
Theoretical and computational methods in dynamical systems and fractal geometry, Maribor, Slovenia, April 7-11 2015
Perspectives on Parabolic points in Holomorphic Dynamics, BIRS Workshop, March 29-April 3 2015, Banff, Alberta, Canada
European Advanced Studies Conference 2014, Symposium on Differential and Difference Equations 2014, Homburg, Saar, Germany, September 5-8 2014
Advanced Course on Central Configurations, Periodic Orbits and Beyond in Celestial Mechanics (DANCE Winter School), Centre de Recerca Matematica, Bellaterra, Spain, January 27-31 2014
Dynamical Systems and Galoisian Theories, workshop for 70th birthday of Jean-Pierre Ramis, Institut de Mathématiques de Toulouse, Toulouse, France, September 02-04 2013
Feuilletages et équationsdifférentielles complexes, CIRM, Marseille, France, October 15-19 2012
5th Croatian Mathematical Congress, CroMC, Rijeka, Croatia, June 18-21 2012
School and Workshop on Dynamical Systems, International Centre for Theoretical Physics (ICTP), Trieste, Italy, May 21-June 8 2012
PISRS Conference 2011, Messina (Sicily), Italy, November 8-12 2011
Equadiff Conference 2011, Loughborough, England, August 1-5 2011
RTNS 8th Winter School on Dynamical Systems of the DANCE Spanish network, Vilanovai la Geltrú, Spain, January 24-28 2011
School and Workshop on Dynamical Systems, International Centre for Theoretical Physics (ICTP), Trieste, Italy, June 13-July 18 2008
Participation in national and international projects:
2020-2022, Fractal and transserial approach to differential equations, bilateral french-croatian COGITO project, PI:Goran Radunovic (University of Zagreb), Tamara Servi (University of Paris)
2019-2023 Croatian science foundation (HRZZ) project: Fractal properties of bifurcations of dynamical systems, PI: Vesna Zupanovic, University of Zagreb, and Pavao Mardesic, Université de Bourgogne
2015-16 Croatian science foundation (HRZZ) project: Geometric, ergodic and topological analysis of low-dimensional dynamical systems, PI: Siniša Slijepcevic, University of Zagreb
2015-2016 Classification of fixed points and singularities using epsilon-neighborhoods of orbits and curves, bilateral french-croatian COGITO project, PI: Vesna Zupanovic (croatian), Pavao Mardesic (french, Université de Bourgogne)
2008-2013 National Project of Croatian Ministry of education and sports: Nonlinear analysis of differential equations and dynamical systems; PI: Mervan Pasic, University of Zagreb
2011-2012 Fractal analysis of Poincaré maps around polycycles, bilateral french-croatian COGITO project, PI: Vesna Zupanovic (croatian), Pavao Mardesic (french)
2010/11 Kinetic wealth distribution models and diffusive limit equations, bilateral austrian-croatian project; PI: Josipa Pina Milisic (croatian), Ansgar Juengel (austrian, TU Wien) (Austria)
Organization of scientific meetings:
Workshop Bifurcations of dynamical systems and numerics and Bifurcations and fractal zeta functions of orbits, 09-13 May 2023, FER, Zagreb (member of the organizing commitee, final workshop for the HRZZ project PZS-2019-02-3055, main organizer: V. Županovic);
Mini-workshop on Transseries and Dynamical Systems, in scope of Thematic Program on Tame Geometry, Transseries and Applications to Analysis and Geometry, Fields Institute, Toronto, Canada,
May 30 - June 01, 2022 (with J.P.Rolin)
Mini-workshop Bifurcations and Dynamical Systems, FER, Zagreb, February 09-12 2022 (member of the organizing commitee, in the scope of HRZZ project PZS-2019-02-3055, main organizer: V. Županovic)
Zagreb Dynamical Systems Workshop 2018, Faculty of Science, Department of Mathematics, Zagreb, November 22-28 2018 (with P. Mardesic)
coorganizer of Dubrovnik IX – Topology and dynamical systems conference, IUC Dubrovnik, June 22-26, 2019 (with M. Bestvina, S. Štimac as main organizers)