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Curriculum Vitae

 

Education

Ph.D. in Mathematics at University of Zagreb, Zagreb, Croatia, 2012

B.Sc. in Mathematics at University of Zagreb, Zagreb, Croatia, 2006

Employment

2019-20xxxxxAssociate Professor at Department of Mathematics,
2017-20xxxxxFaculty of Science, University of Zagreb, Zagreb, Croatia

2019-2020xxxAlexander von Humboldt Experienced Researcher at 
2019-2020xxxInstitut für Mathematik, Fakultät für Mathematik und Informatik,
2019-2020xxxFriedrich-Schiller Universität Jena, Jena, Germany &
2019-2020xxxInstitut für Mathematische Stochastik, Fachrichtung  Mathematik, 
2019-2020xxxTechnische Universität Dresden, Dresden, Germany

2017-2019xxxAssistant Professor at Department of Mathematics,
2017-2019xxxFaculty of Science, University of Zagreb, Zagreb, Croatia

2016-2017xxxAssistant Professor at Department of Mathematics,
2016-2017xxxFaculty of Civil Engineering, University of Zagreb, Zagreb, Croatia

2014-2016xxxPostdoctoral Associate (TU Dresden and NEWFELPRO Fellow)
2014-2016xxxat Institut für Mathematische Stochastik, Fachrichtung Mathematik,
2014-2016xxxTechnische Universität Dresden, Dresden, Germany

2012-2014xxxPostdoctoral Associate at Department of Mathematics,
2012-2014xxxFaculty of Civil Engineering, University of Zagreb, Zagreb, Croatia

2007-2012xxxTeaching Assistant at Department of Mathematics,
2007-2012xxxFaculty of Civil Engineering, University of Zagreb, Zagreb, Croatia

Invited Talks

1. Long-time behavior of Lévy-type processes: recurrence, transience and ergodicity, Workshop on Stochastic Analysis and Related Topics, Dresden, Germany, September 22-23, 2014
2. Ergodicity and fluctuations of a fluid particle driven by a diffusion process with jumps, Summer School on Dirichlet Forms and Stochastic Analysis, Osaka, Japan, August 24-28, 2015
3. Long-time behavior of Lévy-type processes: transience, recurrence and ergodicity, German-Japanese Conference on Stochastic Analysis and Applications, Sendai, Japan, August 31 - September 4, 2015 
4. Markov chain approximation of pure jump processes, 8^th International Conference on Lévy Processes, Angers, France, July 25-29, 2016
5. Stochastic stability of Lévy-type processes, 4^th Workshop on Fractional Calculus, Probability and Non-Local Operators: Applications and Recent Developments, Bilbao, Spain, November 23-25, 2016
6. Stochastic stability of Markov processes, Colloquium talk, University of Osijek, Osijek, Croatia, December 1, 2016
7. Homogenization of periodic diffusion with small jumps, 3^rd Workshop on Probability Theory and its Applications, Seoul, Korea, December 13-16, 2016
8. Stochastic stability of Markov semigroups, Korean Croatian Summer Probability Camp, Zagreb, Croatia, July 3-6, 2017 
9. Ergodicity of diffusion processes, Workshop on Jump Processes and Stochastic Analysis, Dresden, Germany, September 1-2, 2017
10. Stability of the overdamped Langevin equation in Landau potential, Kickoff Meeting and Workshop on Diffusion Driven Systems, Zagreb, Croatia, May 18, 2018
11. Stochastic stability of Markov processes, Mathematical Colloquium, Friedrich-Schiller Universität Jena, Jena, Germay, November 14, 2019
12. Limit theorems for a stable sausage, Fractional kinetics, hydrodynamic limits and fractals, Isaac Newton Institute for Mathematical Sciences, Cambridge, UK, March 21-25, 2022
13. Stochastic stability of Markov models, Croatian Academy of Sciences and Arts, Zagreb, Croatia, December 7, 2023

Contributed Talks

1. Recurrence and transience property for a class of Markov chains, 5^th International Conference on Stochastic Analysis and Its Applications, Bonn, Germany, September 5-9, 2011
2. Recurrence and transience property for a class of Markov chains, Probability Afternoon: Workshop on Stochastic Analysis, Zagreb, Croatia, November 24, 2011
3. Recurrence and transience property for stable-like Markov chains, Spring School in Probability, Dubrovnik, Croatia, April 23-27, 2012
4. Recurrence and transience property for stable-like Markov chains, 5^th Croatian Mathematical Congress, Rijeka, Croatia, June 18-21, 2012
5. A transience condition for a class of one-dimensional symmetric Lévy processes, Satellite Summer School to the 7^th International Conference on Lévy Processes, Bedlewo, Poland, July 9-13, 2013
6. Long-time behavior for a class of Feller processes, 11^th German Probability and Statistics Days, Ulm, Germany, March 4-7, 2014
7. Homogenization of periodic diffusion with small jumps, Probability and Analysis, Bedlewo, Poland, May 4-8, 2015
8. Ergodicity and fluctuations of a fluid particle driven by a diffusion process with jumps, 6^th Croatian Mathematical Congress, Zagreb, Croatia, June 14-17, 2016
9. Homogenization of periodic diffusion with small jumps, International workshop on PDEs: analysis and modelling, Zagreb, Croatia, June 19-22, 2016
10. A note on the Birkhoff ergodic theorem, Probability and Analysis, Bedlewo, Poland, May 15-19, 2017 
11. Ergodicity of piecewise Ornstein-Uhlenbeck processes with jumps, 9^th International Conference on Stochastic Analysis and Its Applications, Bielefeld, Germany, September 3-7, 2018

Other Talks

1. The oscillating random walk, Analysis and Stochastics Seminar, Technische Universität Dresden, Dresden, Germany, July 9, 2010
2. Recurrence and transience property for a class of Markov chains, Analysis and Stochastics Seminar, Technische Universität Dresden, Dresden, Germany, April 19, 2011
3. Stochastic stability of stable-like models, Probability and Financial Mathematics Seminar, Pennsylvania State University, USA, November 1, 2013
4. Ergodicity and fluctuations of a fluid particle driven by diffusions with jumps, Analysis and Stochastics Seminar, Technische Universität Dresden, Dresden, Germany, November 20, 2014
5. Stochastic stability of Markov models, Graduate Lectures in Mathematics, Technische Universität Dresden, Dresden, Germany, July 9, 16 and 23, 2015
6. Homogenization of periodic diffusion with small jumps, Probability and Financial Mathematics Seminar, Pennsylvania State University, USA, October 7, 2016
7. A note on the Birkhoff ergodic theorem, Analysis and Stochastics Seminar, Technische Universität Dresden, Dresden, Germany, June 1, 2017
8. Stability of the overdamped Langevin equation in Landau potential, Analysis and Stochastics Seminar, Technische Universität Dresden, Dresden, Germany, December 7, 2017
9. Ergodicity of piecewise Ornstein-Uhlenbeck processes with jumps, Analysis and Stochastics Seminar, Technische Universität Dresden, Dresden, Germany, November 8, 2018
10. Wasserstein distances, ERASMUS Week, Technische Universität Dresden, Dresden, Germany, December 10-14, 2018
11. Ergodicity of piecewise Ornstein-Uhlenbeck processes with jumps, Probability Seminar, Fujian Normal University, Fuzhou, China, June 3, 2019
12. Periodic homogenization of a Lévy-type process with small jumps, Stochastics Seminar, Friedrich-Schiller Universität Jena, Jena, Germany, October 24, 2019
13. Periodic homogenization of a Lévy-type process with small jumps, Analysis and Stochastics Seminar, Technische Universität Dresden, Dresden, Germany, December 12, 2019
14. Limit theorems for a stable sausage, Probability and Financial Mathematics Seminar, Pennsylvania State University, USA, February 26, 2021
15. Periodic homogenization of linear degenerate PDEs, Non-local operators, probability and singularities (on-line seminar), June 29, 2021
16. Subexponential upper and lower bounds in Wasserstein distance for Markov processes, Analysis and Stochastics Seminar, Technische Universität Dresden, Dresden, Germany, July 28, 2021
17. Periodic homogenization of a class of weakly coupled systems of linear PDEs, Analysis and Stochastics Seminar, Technische Universität Dresden, Dresden, Germany, July 25, 2022
18. Subexponential upper and lower bounds in Wasserstein distance for Markov processes, Stochastics Seminar, Friedrich-Schiller Universität Jena, Jena, Germay, November 17, 2022
19. Subexponential upper and lower bounds in Wasserstein distance for Markov processes, Probability in the North East, Durham University, Durham, UK, September 6, 2023

Scientific projects

1. Sample Path Properties of Lévy-Type Processes, funded by the NEWFELPRO program (MSES - Marie Curie FP7-PEOPLE-2011-COFUND program), Grant No. 31, October 2014 - January 2016
2. Stochastic Stability and Potential Theory of Markov Processes, funded by the Croatian Science Foundation, Grant No. 8958, May 2018 - April 2023
3. Random Time-Change of Jump Processes, MZO and DAAD bilateral grant, January 2019 - December 2020
4. Homogenization of Non-Local Operators: A Probabilistic Approach, funded by the Alexander von Humboldt Foundation, October 2019 - September 2020, July 2021 - September 2021, July 2022 - September 2022
5. Geometric Properties and Potential Theory of Stochastic Processes, funded by the Croatian Science Foundation, Grant No. 2277, January 2024 - December 2027

• Technische Universität Dresden, Germany
• Pennsylvania State University, USA 
• Fujian Normal University, China
• Durham University, UK