Curriculum Vitae
ADDRESS:
Department of Mathematics, Faculty of Science, University of Zagreb,
Bijenička 30, 10000 Zagreb, Croatia
e-mail: sonja@math.hr
url: https://web.math.pmf.unizg.hr/~sonja/
EDUCATION:
• Ph.D.: Department of Mathematics, University of Zagreb, 2002
Thesis Advisor: Sibe Mardešić
Thesis Title: Topological classification of Knaster continua with finitely many
endpoints
• M.Sc.: Department of Mathematics, University of Zagreb, 1997
Thesis Advisor: Sibe Mardešić
Thesis Title: One-dimensional dynamics
EMPLOYMENT:
• Professor at Department of Mathematics, University of Zagreb, 2018 -
• Associate Professor at Department of Mathematics, University of Zagreb, 2013 - 2018
• Assistant Professor at Department of Mathematics, University of Zagreb, 2009 - 2013
• Assistant Professor at Graduate School of Economics and Business, University of Zagreb,
2007 - 2009
• Higher Assistant (i.e., TA with Ph.D. on tenure track) at Graduate School of Economics
and Business, University of Zagreb, 2003 – 2007
• Teaching Assistant at Graduate School of Economics and Business, University of Zagreb,
1994 – 2003
VISITING SCHOLAR:
• Faculty of Mathematics and Computer Science, Jagiellonian University, Kraków, Poland, April - July 2023
• Department of Mathematical Sciences, Seoul National University, Seoul, Korea, October 2022 - March 2023
• Department of Mathematical Sciences, Indiana University – Purdue University Indianapolis,
Indianapolis, Indiana, August 2014 – August 2016
• Department of Mathematics, University of Illinois at Urbana – Champaign, Urbana,
Illinois, August 2006 -- May 2007
• Department of Mathematics, University of Florida, Gainesville, Florida,
August 1998 – May 1999
SHORT VISITS:
• Department of Mathematics, Baylor University, Waco, Texas: April 17 – 25, 2004;
April 2 – 10, 2005; March 26 – April 3, 2006; March 5 – 16, 2007; May 20 – 26, 2007;
August 5 – 16, 2008; February 28 – March 6 2009
• Department of Mathematics, University of Florida, Gainesville, Florida:
November 10 – 17, 2005; March 19 – 23, 2007, October 26 – 31, 2008; March 23 – 27, 2015
• Department of Mathematics, University of Toledo, Toledo, Ohio, March 16 – 21, 2008
• Department of Mathematics, University of Surrey, Guildford, UK, April 7 – 19, 2008
• Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach, Germany, The Research in Pairs
Programme, January 11 – 24, 2009; Topological and Smooth Dynamics on Surfaces, September 6 - 12,
2020
• Department of Mathematical Sciences, Montana State University, Bozeman, Montana, March 21 – 26,
2010
• Faculty of Mathematics, University of Vienna, Vienna, Austria: January 4 – 9, 2013; May 18 – 24,
2014;
December 4 – 10, 2016; April 25 – May 6, 2017
• Department of Mathematics, TU Dresden, Dresden, Germany, August 15 – September 26, 2013
• Department of Mathematical Sciences, Indiana University – Purdue University Indianapolis,
Indianapolis, Indiana, March 12 – April 7, 2017; March 17 - 24, 2019; February 28 - March 8, 2022
• Department of Mathematics, University of Auckland, Auckland, New Zealand, February 22 – March
11, 2018
• AGH University of Science and Technology, Kraków, Poland, October 18 - 31, 2020; November 22 -
December 3, 2021
• The Abdus Salam International Centre for Theoretical Physics, Trieste, Italy, May 13 - 17, 2024
• Mathematics Department, Stony Brook University, Stony Brook, New York, September 14 - 24, 2024
GRANTS:
• Dynamical and ergodic properties of maps on surfaces (DEPOMOS),
HRZZ IP-2018-01-7491, 2018 – 2022
• Dynamics of Hénon and Lozi maps (HeLoMa), NEWFELPRO Grant No. 24
(Marie Curie FP7 & MZOS),
2014 – 2017
• Strange Attractors and Inverse Limit Spaces, Austrian – Croatian bilateral grant
(OeAD & MZOS), 2014 – 2015
• Classifying a family of models for the Henon Attractor: a U.S. – Croatia
collaboration, NSF 0604958, 2006 – 2009
COLLOQUIUM AND SEMINAR TALKS:
• Baylor University, Waco, TX, April 21, 2004, Topological classification
of inverse limit spaces of tent maps with finite critical orbit
• University of Florida, Gainesville, FL, November 15, 2005, On the inverse
limits of tent maps with critical points approaching periodic points;
October 28, 2008, On Ingram's Conjecture; March 23, 2015, Lozi
Mappings and Symbolic Dynamics
• Marquette University, Milwaukee, WI, October 27, 2006, On Ingram's
Conjecture
• University of Illinois at Urbana – Champaign, Urbana, IL, November 14, 2006,
On Ingram's Conjecture; April 10, 2007, On Topological Properties of
Inverse Limit Spaces of Unimodal Maps
• University of Zagreb, Zagreb, Croatia, March 1, 2008 (Seminar Zagreb –
Ljubljana), On Ingram's Conjecture; November 14, 2009 (Seminar Zagreb –
Ljubljana), On Ingram's Conjecture; January 15, 2011 (The 50th
anniversary of Topology seminar in Zagreb), On isotopy and unimodal inverse
limit spaces; March 14, 2012 (Colloquium of the Croatian Mathematical
Society), How the Ingram Conjecture became a theorem; May 25, 2013 (The
40th anniversary of Seminar Zagreb - Ljubljana), Entropy of homeomorphisms
on unimodal inverse limit spaces
• University of Toledo, Toledo, OH, March 20, 2008, Topological
classification of certain inverse limit spaces of tent maps
• University of Surrey, Guildford, UK, April 16, 2008, On Ingram's
Conjecture
• University of Maribor, Maribor, Slovenia, November 21, 2008, On Ingram's
Conjecture; April 22, 2017 (Seminar Ljubljana – Maribor – Zagreb),
Lozi-like maps
• Montana State University, Bozeman, MT, March 23, 2010, On Ingram's
Conjecture
• University of Split, Split, Croatia, March 10, 2011, On Ingram's
Conjecture – How the Ingram Conjecture became a theorem
• Seoul National University, Seoul, Korea, October 11, 2012, On Ingram's
Conjecture
• University of Vienna, Vienna, Austria, January 8, 2013, Entropy of
homeomorphisms on unimodal inverse limit spaces; April 28, 2017 (The
Budapest – Wien Dynamics Seminar), Lozi-like maps
• Indiana University - Purdue University Indianapolis, Indianapolis, IN,
September 4, 18 & 25, 2014, Horseshoe-like maps and symbolic dynamics I, II
& III; February 16 & March 1, 2016, On Ingram’s Conjecture I & II;
March 23, 2017, Lozi-like maps; March 22, 2019, Topological entropy of homeomorphisms
on inverse limits of quadratic maps; March 3, 2022, Classification of the Lozi maps
• University of Illinois at Chicago, October 27, 2014, Horseshoe-like maps
and symbolic dynamics
• Bradly University, Peoria, IL, April 7, 2016, Symbolic dynamics for Lozi
maps
• University of Auckland, Auckland, New Zealand, March 2, 2018, Lozi-like maps
and symbolic dynamics
• AGH University of Science and Technology, Kraków, Poland, March 29, 2022, Classification of the
Lozi maps (online)
• Jagiellonian University, Kraków, Poland, June 2, 2023,
The pruning front conjecture and classification of the Hénon maps in the presence of strange attractors
INVITED TALKS AT CONFERENCES:
• 2nd Croatian Congress of Mathematics, Zagreb, June 15 – 17, 2000,
Homeomorphisms of Knaster Continua
• Geometric topology II, IUC Dubrovnik, September 29 – October 5, 2002,
Topological classification of Knaster continua with finitely many endpoints
• ANR's, shape theory and applications, Warsaw, Poland, November 18 – 23, 2002,
Topological classification of Knaster continua with finitely many endpoints
• Spring Topology and Dynamical Systems Conference 2003, Lubbock, Texas, March 20 – 22,
2003, Topological classification of Knaster continua with finitely many endpoints
• Symbolic Dynamics and Ergodic Theory, University of Warwick, Coventry, UK, June 7 – 18,
2003, Topological classification of Knaster continua with finitely many endpoints
• 3rd Croatian Congress of Mathematics, Split, June 16 – 19, 2004, Topological
classification of inverse limit spaces of tent maps with finite critical orbit
• AMS Central Section Meeting, Lubbock, Texas, April 8 – 10, 2005, Topological
classification of inverse limit spaces of tent maps with finite critical orbit
• International Conference and Workshops on Geometric Topology, Bedlewo, Poland,
July 3 – 10, 2005, Topological classification of inverse limit spaces of tent maps
with finite critical orbit
• 16th Internationaler Kongress der Osterreichischen Mathematischen Gesellschaft
Jahrestagung der Deutschen Mathematiker-Vereinigung Mathematik 2005, Klagenfurt, Austria,
September 19 – 23, 2005, Topological classification of inverse limit spaces of tent maps
with finite critical orbit
• Spring Topology and Dynamics Conference 2006, Greensboro, North Carolina, March
23 – 25, 2006, On the inverse limits of tent maps with critical points approaching
periodic points
• Conference in Topology and Theoretical Computer Science, Oxford, UK, August 7 – 10,
2006, Structure of inverse limit spaces of tent maps with a countable collection of
folding points
• Spring Topology and Dynamics Conference 2007, Rolla, Missouri, March 29 – 31, 2007,
On Ingram's Conjecture
• Dubrovnik VI – Geometric topology, IUC Dubrovnik, September 30 – October 7, 2007,
On Ingram's Conjecture (Plenary lecture)
• Spring Topology and Dynamics Conference 2008, Milwaukee, Wisconsin, March 13 – 15,
2008, Topological classification of inverse limit spaces of tent maps with non-recurrent
critical orbit (Semi-plenary lecture)
• 4th Croatian Congress of Mathematics, Osijek, June 17 – 20, 2008, Topological
classification of inverse limit spaces of tent maps with non-recurrent critical orbit
• 2008 Summer Conference on Topology and its Applications, Mexico City, Mexico,
July 29 – August 1, 2008, On Ingram's Conjecture
• AMS Sectional Meeting, Huntsville, Alabama, October 24 – 26, 2008, On Ingram's
Conjecture
• Spring Topology and Dynamics Conference 2009, Gainesville, Florida, March 7 – 9, 2009,
On Ingram's Conjecture
• 2009 Summer Conference on Topology and its Applications, Brno, Czech Republic,
July 14 – 17, 2009, On Ingram's Conjecture
• Spring Topology and Dynamics Conference 2010, Starkville, Mississippi, March 18 – 20,
2010, On Ingram's Conjecture (Plenary lecture)
• 8th AIMS Conference on Dynamical Systems, Differential Equations and Applications,
Dresden, Germany, May 25 - 28, 2010, On Ingram's Conjecture
• Czech – Slovak – Spanish Workshop on Discrete Dynamical Systems, La Manga del Mar Menor,
Spain, September, 20 – 24, 2010, The Ingram Conjecture - Periodic Case Revisited
• Dubrovnik VII – Geometric Topology, IUC Dubrovnik, June 26 – July 3, 2011,
How the Ingram Conjecture became a theorem
• Summer Conference on General Topology and its Applications, New York, New York,
July 26 – 29, 2011, On isotopy and unimodal inverse limit spaces
• Spring Topology and Dynamics Conference 2012, Mexico City, Mexico, March 22 – 24,
2012, The Ingram Conjecture - Finite Orbit Case Revisited
• 16th Czech – Slovak Workshop on Discrete Dynamical Systems, Pustevny, Czech Republic,
June 11 – 15, 2012, New methods in studying the inverse limit spaces of unimodal
maps
• 5th Croatian Mathematical Congress, Rijeka, June 18 – 21, 2012, On isotopy and
unimodal inverse limit spaces (Semi-plenary lecture)
• 27th Summer Conference on Topology and its Applications, Mankato, Minnesota, July
25 – 28, 2012, New methods in studying the inverse limit spaces of unimodal maps
(Plenary lecture)
• 47th Spring Topology and Dynamics Conference, New Britain, Connecticut, March 23 – 25,
2013, Entropy of homeomorphisms on unimodal inverse limit spaces
• 48th Spring Topology and Dynamics Conference, Richmond, Virginia, March 13 – 15, 2014,
Rotation sets for maps of tori (Plenary lecture)
• Surfaces in São Paulo, São Sebastião, Brazil, April 7 – 11, 2014,
Horseshoe-like maps of the plane and symbolic dynamics
• 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications,
Madrid, Spain, July 7 – 11, 2014, Rotation sets for maps of tori
• 29th Summer Conference on Topology and its Applications, New York, New York, July 23 – 26,
2014, Horseshoe-like maps of the plane and symbolic dynamics
• 2015 Join Mathematics Meetings, San Antonio, Texas, January 10 – 13, 2015,
Horseshoe-like maps of the plane and symbolic dynamics
• Dubrovnik VIII - Geometric Topology, Geometric Group Theory & Dynamical Systems, IUC Dubrovnik,
June 22 – 26, 2015, Lozi Mappings and Symbolic Dynamics
• 50th Spring Topology and Dynamics Conference, Waco, Texas, March 9 – 13, 2016, Symbolic
dynamics for Lozi maps
• 6th Croatian Mathematical Congress, Zagreb, June 14 – 17, 2016, Symbolic dynamics for Lozi
maps
• 31st Summer Conference on Topology and its Applications, Leicester, UK, August 1 – 6, 2016,
Symbolic dynamics for Lozi maps
• 51st Spring Topology and Dynamical Systems Conference, Jersey City, New Jersey, March 8 – 11,
2017, Lozi-like maps
• Dynamical Systems and Perturbations, St. Petersburg, Russia, October 2 – 4, 2017,
Lozi-like maps
• Surfaces in Bedlewo, Bedlewo, Poland, April 15 – 21, 2018, Lozi-like maps
• Zagreb Dynamical Systems Workshop, Zagreb, October 22 - 26, 2018, Lozi-like maps
• 53rd Spring Topology and Dynamics Conference, Birmingham, Alabama, March 14 – 16, 2019,
On entropy of self-homeomorphisms of quadratic inverse limit spaces
• First Dynamical Systems Summer Meeting, Bedlewo, Poland, August 16 – 20, 2021,
Densely branching trees as models for Hénon-like and Lozi-like attractors
• 55th Spring Topology and Dynamics Conference, Waco, Texas, March 9 – 12, 2022,
Classification of the Lozi maps
• The 51st John H. Barrett Memorial Lectures, Exotic continua in modern mathematics, Knoxville,
Tennessee, June 9 – 12, 2022, Classification of the Lozi maps
• 7th Croatian Mathematical Congress, Split, June 15 – 18, 2022, Classification of the Lozi
maps
• 36th Summer Topology Conference, Vienna, Austria, July 18 – 22, 2022, Classification of the
Lozi maps
• On the Trail of Women in Mathematics - Contemporary Women in Mathematics, Gdańsk, Poland, September 15 - 17, 2022,
Classification of the Lozi maps
• The 56th Spring Topology and Dynamical Systems Conference (held remotely), March 15 - 18, 2023, Memphis, Tennessee,
The pruning front conjecture and classification of Hénon maps in the presence of strange attractors (Semi-plenary lecture)
• Dynamics of Hénon Maps: Real, Complex and Beyond, Banff International Research Station, Banff, Canada,
April 9 -14, 2023,
The pruning front conjecture and classification of Hénon maps in the presence of strange attractors
• Smooth and topological dynamics, Simons Semesters IM PAN, Warsaw, Poland, April 17 - 21, 2023,
The pruning front conjecture and classification of Hénon maps in the presence of strange attractors
• 16th Research Workshop in Continua and Hyperspaces, Technological Institute of Oaxaca, Oaxaca, Mexico, June 11 - 23, 2023,
The kneading theory for the Lozi maps, mini-course, 8 lectures of 50 minutes
• 10th Visegrad Conference on Dynamical Systems, Łódź, Poland, June 29 - July 1, 2023,
The pruning front conjecture and classification of Hénon maps in the presence of strange attractors
• The 1st Maribor Mini Workshop on Topological Dynamics, Continuum Theory, and Related Topics, Maribor, Slovenia,
January 18 - 19, 2024, The pruning front conjecture and classification of Hénon maps in the presence of strange
attractors
• Dubrovnik X - Topology & Dynamical Systems, IUC Dubrovnik, June 24 – 28, 2024,
Two properties of the Hénon maps with strange attractors
MEMBERSHIP IN SCIENTIFIC SOCIETIES:
• The Croatian Mathematical Society, member since 1996.
• The American Mathematical Society, member since 1998.
SYNERGETIC ACTIVITIES:
I am a reviewer for Mathematical Reviews, and a referee for Geometry and Topology; Discrete and Continuous Dynamical
Systems - Series A; Journal of Dynamics and Differential Equations; Journal of Difference Equations and Applications; Chaos, Solitons and Fractals; Fundamenta Mathematicae; Topology and its Applications; Colloquium Mathematicum; Topology Proceedings; Glasnik Matematički; Mathematical Communications; Rocky Mountain Journal of Mathematics; Uniform Distribution Theory and Rad HAZU, Matematičke znanosti.