Curriculum vitae
Zoran Vondraček
Professor
Department of Mathematics, Faculty of Science, University of Zagreb
Born July 28, 1959, in Zagreb, Croatia
Education
- University of Florida, Gainesville, FL, Ph. D. (Math) 1990
- University of Zagreb, Zagreb, Croatia M. Sc. (Math) 1986
- University of Zagreb, Zagreb, Croatia B. Sc. (Math) 1982
Employment
- Department of Mathematics, University of Zagreb, Full Professor 2002-date
- Department of Mathematics, University of Zagreb, Associate Professor 1997-2002
- Department of Mathematics, University of Zagreb, Assistant Professor 1992-1997
- Department of Mathematics, University of Zagreb, Teaching Assistant 1983-1992
Visiting Positions
- Universität des Saarlandes, Saarbrücken, Alexander von Humboldt Fellow, 1995
- University of Florida, Gainesville, FL, Visiting Professor 1998/1999
- University of Illinois at Urbana-Champaign, IL, Visiting Professor, 2006/07
- University of Illinois at Urbana-Champaign, IL, Visiting Scholar, 2014/16
- Seoul National University, Guest Professor, 10/2022-03/2023
Shorter Visits
- Mathematisches Forschungsinstitut Oberwolfach, Research in
Pairs program, March 17 - 31, 2002.
- Forschungsinstitut für Mathematik, ETH Zürich, April 29 - May 12, 2002.
- Technische Universität Wien, November 11 - 15, 2002.
- Technische Universität Graz, October 6 - 10, 2003.
- Department of Mathematics, University of Illinois at Urbana-Champaign,
February 28 - March 13, 2004, May 25 - 29, 2004, March 10 - 23, 2005, November 2 - 9, 2005, March 26 - April 4, 2006., March 23 - April 6, 2017.
- Institut für Angewandte Mathematik, Universität Bonn, December 5 -11, 2005.
- Department of Actuarial Sciences and Statistics, Heriot-Watt University, Edinburgh,
January 9 -14, 2006.
- Fachbereich Mathematik und Informatik, Phillips Universität Marburg, July 2 - 25, 2006.
- Stockholm School of Economics, Stockholm, September 3 -7, 2007.
- Seoul National University, Seoul, South Korea, October 29 - November 10, 2007, October 4-14, 2012., May 22-29, 2013., May 25 - June 7, 2015., September 20-30, 2016.
- Peking University, Beijing, China, June 1-7, 2008,
- Mathematisches Forschungsinstitut Oberwolfach, Research in
Pairs program, March 17 - 31, 2002., August 10 - 23, 2008., July 10 - 23, 2022.
- Kyoto University, Kyoto, Japan, October 11-17, 2008.
- Technische Universität Dresden, January 12 - 18, 2009., September 3-10, 2009., July 19 - 31, 2010, April 14-21, 2011, July 19-28, 2012.,
November 19-25, 2012., August 15-September 30, 2013., March 26-30, 2014.
- Wroclaw University of Technology, May 11 - 17, 2009.
- Universität Bielefeld, November 8-16, 2010., April 8-14, 2013.
- Basque Center for Applied Mathematics, March 19-24, 2012.
Grants
- Random processes and applications, MZT grant 037008, 1997-2001
- Random processes and applications in financial and actuarial mathematics, Croatian-Slovenian bilateral grant,
2001-2003
- Random processes with jumps and applications, MZT grant 0037107, 2002-2006
- Financial and actuarial mathematics, Croatian-Austrian bilateral grant,
2002-2003
- Potential theory for jump processes, Croatian-US bilateral grant (NSF grant INT 0302167), 2003-2006
- Random processes with jumps, MZOS grant 037-0372790-2801, 2007 - 2013
- Jump processes and potential theory: Methods from Dirichlet forms and pseudodifferential operators, Croatian-German
bilateral grant (MZOŠ-DAAD), 2009 - 2010
- Stochastic analysis of jump processes, Croatian-German
bilateral grant (MZOŠ-DAAD), 2011 - 2012
- Stochastic methods in analytical and applied problems, Croatian Science Foundations, 2014 - 2018
- Discontinuous stochastic processes and non-local operators, Croatian Science Foundations, 2018 - 2022
Invited Talks
- AMS Meeting, Gainesville, Florida, March 12-13, 1999, Asymptotics of Brownian
first-passage time over a stochastic boundary based on the local time
- Functional Analysis School VI, Dubrovnik, September 1999, Nonlinear potentials in function spaces (two lectures)
- 2nd Croatian Congress of Mathematics, Zagreb, June 15-17, 2000, Nonlinear potentials in function spaces
(plenary lecture)
- 9th International Conference on Operational Research
KOI 2002, Trogir, October 2-4, 2002, Martingales in financial modeling (plenary lecture)
- Workshop on Stochastic Processes
and Related Topics, University of Wales Swansea, January 17, 2005,
On potential theory of subordinate Brownian motion
- 5th ISAAC Congress, Catania, Italy, July 25-30 2005, On potential theory of subordinate Brownian motion
- Conference on Martingales, Stochastic Analysis and Potential Theory, University of Florida, Gainesville, November 10-12, 2005,
On potential theory of subordinate Brownian motion
- Colloquium in Stochastics, Maxwell
Institute for Mathematical Sciences, Edinburgh, January 13, 2006,
On potential theory of subordinate Brownian motion
- Workshop on Stochastic and Harmonic Analysis of Processes with Jumps, Angers, May 2-9, 2006,
Potential theory for geometrically stable processes (three lectures)
- Workshop Stochastic Analysis and Related Topics, Phillips University Marburg, July 14-18, 2006,
Parabolic Harnack inequality for the mixture of Brownian motion and stable process
- International Conference on Stochastic Analysis and its Applications, University of Washington, Seattle, August 7-11, 2006,
Parabolic Harnack inequality for the mixture of Brownian motion and stable process
- 32nd Conference on Stochastic Processes and
their Applications, University of Illinois at Urbana-Champaign, August 6-10, 2007,
Subordinate killed vs. killed subordinate process
- 5th International Conference on Levy Processes: Theory and Applications,
Copenhagen, Denmark, August 13-17, 2007, On infima of Levy processes and application in risk theory
- 2nd International Conference on Stochastic Analysis and its Applications, Seoul National University, Seoul,
South Korea, May 28-31, 2008, Two results on subordinate Brownian motions
- Markov processes and applications, University of Hyogo, Kobe, Japan, October 17-19, 2008, On potential theory
of one-dimensional subordinate Brownian motion
- Jumps 2009 - Workshop on Jump Processes, Technische Universität Dresden, January 15 - 17, 2009, On potential theory
of one-dimensional subordinate Brownian motion
- Workshop ''Schroedinger operators and stochastic processes'', IM PAN, Wroclaw, May 14 - 15, 2009, On potential theory
of one-dimensional subordinate Brownian motions with continuous components
- 3rd Internatioal Conference on Stochastic Analysis and Its Applications, Beijing Institute of Technology,
Beijing, China, July 13-17, 2009, On potential theory
of one-dimensional subordinate Brownian motions with continuous components
- Nonlocal operators and partial differential equations, Bedlewo, Poland, June 27-July 3, 2010, Nonlocal operators and
subordination
- 4th International Conference on Stochastic Analysis and Its Applications, Kansai University, Osaka,
August 30 - September 3, 2010, Two-sided Green fnction estimates for killed subordinate Brownian motions
- First NIMS Summer School in Probability 2011, Probabilistic Potential theory & related fields, Daejeon, South Korea, August 15-26, 2011.
On the role of one-dimensional Levy processes in potential theory (ten lectures)
- 5th International Conference on Stochastic Analysis and Its Applications, Bonn University, September 5-9, 2011,
Minimal thinness for subordinate Brownian motion
- Foundations of Stochastic Analysis, BIRS, Banff, Canada, September 18-23, 2011,
Potential theory of subordinate Brownian motions with Gaussian components
- Nonlocal Operators: Analysis, Probability, Geometry and Applications, Bielefeld, Germany, July 19-14, 2012,
Potential theory of subordinate Brownian motions with Gaussian components
- 6th International Conference on Stochastic Analysis and Its Applications, Bedlewo, Poland, September 10-14, 2012,
On potential theory of subordinate Brownian motion in unbounded sets
- 2012 Annual Meeting of the Korean Mathematical Society, Daejeon, Korea, October 5-6, 2012,
Potential theory of subordinate Brownian motions with Gaussian components
- Joint International Meeting of the American Mathematical Society and the Romanian Mathematical Society, Alba Iulia, Romania,
June 27-30, 2013,
Martin boundary for subordinate Brownian motion
- Satellite Summer School to the 7th International Conference on Levy Processes, Bedlewo, Poland, July 9 - 13, 2013,
Subordinators, one-dimensional Levy processes and potential theory (five lectures)
- 7th International Conference on Levy Processes, Wroclaw, July 15 - 19, 2013,
Martin boundary for subordinate Brownian motion
- Levy processes and self-similarity, Hammamet, Tunisia, November 4 - 9, 2013,
Unavoidable collections of balls for jump processes
- Non-local operators, PDEs and Levy processes, Toulouse, May 26 - 28, 2014,
Scaling conditions in potential theory of Levy processes
- 7th International Conference on Stochastic Analysis and its Applications, Seoul, Korea, August 6 - 11, 2014, Absolute continuity and singularity of probability measures induced by a purely discontinuous Girsanov transform of a stable process
- Stable Processes, Casa Matematica Oaxaca, Oaxaca, Mexico, November 6 - 11, 2016. Potential theory of subordinate killed Brownian motion
- 3rd Workshop on Probability Theory and its Applications, KIAS, Seoul, South Korea. December 13 - 16, 2016. Potential theory of subordinate killed Brownian motion
- 5th Bielefeld-Seoul Joint Workshop in Mathematics, February 22-25, 2017. Potential theory of subordinate killed Brownian motion
- Probability and Analysis, Bedlewo, Poland, May 15-19, 2017. On potential theory of subordinate killed processes
- 13th Workshop on Markov Processes and Related Topics, Wuhan University, Wuhan, China, July 17-21, 2017. On purely discontinuous additive functionals of subordinate Brownian motion
- Workshop on Jump Processes and Stochastic Analysis, Dresden, Germany, September 1-2, 2017. On purely discontinuous additive functionals of subordinate Brownian motion
- 5th Najman Conference on Spectral Theory and Differential Equations, Opatija, September 10-15, 2017. Heat kernels on non-symmetric jump processes: beyond the stable case
- 14th Workshop on Markov Processes and Related Topics, Sichuan University, Chengdu, China, July 16-20, 2018. On the potential theory of subordinate killed processes
- 9th International Conference on Stochastic Analysis and its Applications, Bielefeld University, Germany, September 3-7, 2018. Perturbations of non-local operators with critical potentials
- 6th Fractional Calculus, Probability and Non-local Operators: Applications and Recent Developments, BCAM, Bilbao, Spain, September 26-28, 2018. On the potential theory of subordinate killed processes
- Probability and Analysis, Bedlewo, Poland, May 20-24, 2019. On the potential theory of jump processes in open sets
- 9th International Conference on Levy Processes, Island of Samos, Greece, July 15-19, 2019. On potential theory of Markov processes with jump kernels decaying at the boundary
- 2019 KMS Annual Meeting, Honkig University, Seoul, Korea, October 25-27, 2019.
On potential theory of Markov processes with jump kernels decaying at the boundary
- Winter Workshop on Elliptic and Parabolic Equations, UAM, Madrid, Spain, December 16-18, 2019. On potential theory of Markov processes with jump kernels decaying at the boundary
- Eighth Bielefeld-SNU joint Workshop in Mathematics, February 24-26, 2020.
On potential theory of Markov processes with jump kernels decaying at the boundary
- 8th European Congress of Mathematics, June 21-25, 2021. On boundary decay of harmonic functions, Green kernels and heat kernels for some non-local operators
- Probability and Analysis 2022, Wroclaw, September 19-23, 2022. Potential theory of Dirichlet forms with jump kernels blowing up at the boundary
- Probability Workshop in Korea 2022, High1 Resort, December 18-21, 2022. Dirichlet forms with jump kernels degenerate at the boundary
Contributed Talks
- Seminar on Stochastic Processes 1991, UCLA, Los
Angeles, CA, March 23-25, 1991, A characterization of h-Brownian motion by its exit distributions
- Ecole d'Ete de
Probabilites de Saint-Flour XXI - 1991, St-Flour, France,
August 18 - September 4, 1991, A characterization of h-Brownian motion by its exit distributions
- Conference on Fractal Geometry and Stochastics,
Finsterbergen, Germany, June 12-18, 1994, A characterization of
certain diffusions on the Sierpinski gasket by the exit distribution
- International Congress of Mathematicians ICM94, Zürich,
Switzerland, August 3-11, 1994, Characterizing diffusions by exit distributions, poster
- 1st Croatian Congress of Mathematics Zagreb, July 18-20, 1996,
An estimate for the $L^2$-norm of quasi-continuous functions with respect to a smooth
measure
- Functional Analysis School V, Dubrovnik,
September 14-26, 1997, Asymptotics of the first passage time over a
one-sided boundary
- Bosnian-Croatian Analysis Meeting, Bihać, Bosnia and
Herzegovina, May 10-12, 2001, Potential theoretic properties of some strictly stable processes
- 3rd Croatian Congress of Mathematics, Split, June 16-18 ,2004,
Ruin probabilities for general perturbed risk processes
- Hungarian-Croatian Workshop, Debrecen, Hungary, October 6-8,
2005, On potential theory of subordinate Brownian motion
- Workshop on theoretical and applied statistics, Zagreb, November 23, 2005,
Ruin probabilities and decompositions for general perturbed risk processes
Seminar and Colloquium Talks
- University of Zagreb; University of Osijek; University of Split
- University of Ljubljana; TU Wien; TU Graz; Bonn University; Heriot-Watt University, Edinburgh; Stockholm School of
Economics
- University of Florida, Gainesville; University of Illinois at Urbana-Champaign; University of Washington, Seattle;
University of Utah, Salt Lake City; Northwestern University, Evanston; Purdue University, West Lafayette, Cornell University, Ithaca; University of British Columbia, Vancouver
- Seoul National University, Seoul; Peking University, Beijing
Awards
- Croatian Academy of Sciences and Arts award for natural sciences and mathematics for 2006.
- National Science Award for 2010.
- Andrija Mohorovičić Award for 2020.